From 50fbca9df79670dedd71fd95c5685e8acc021418 Mon Sep 17 00:00:00 2001 From: Jonathan Lurie Date: Thu, 9 Mar 2017 16:25:53 -0500 Subject: [PATCH 1/9] custom logo in example and doc --- examples/css/style.css | 21 +++++++++++++++++++++ examples/fileToImage2D.html | 12 ++++++++++++ examples/forEachPixel.html | 25 ++++++++++++++++--------- examples/image2DToCanvas.html | 15 ++++++++++++++- examples/urlToImage2D.html | 12 ++++++++++++ images/pixpipe.png | Bin 0 -> 13212 bytes readme.md | 4 +++- 7 files changed, 78 insertions(+), 11 deletions(-) create mode 100644 examples/css/style.css create mode 100644 images/pixpipe.png diff --git a/examples/css/style.css b/examples/css/style.css new file mode 100644 index 0000000..f289a6f --- /dev/null +++ b/examples/css/style.css @@ -0,0 +1,21 @@ +body { + font-family: 'Roboto', sans-serif; + background-color: #3a3a3a; + color: #e6e6e6; + font-size: large; + margin: 10px 20vw 0 20vw; +} + +canvas, +img { + margin: 10px 0 10px 0; + width: 60vw; + height: auto; +} + +code { + background-color: #676767; + padding: 2px 5px 2px 5px; + border-radius: 4px; + font-family: monospace; +} diff --git a/examples/fileToImage2D.html b/examples/fileToImage2D.html index ada72a0..615a545 100644 --- a/examples/fileToImage2D.html +++ b/examples/fileToImage2D.html @@ -3,8 +3,20 @@ URL to Image2D + + +

Pixpipejs

+

+ This does the following : +

+ +

Select an image file: diff --git a/examples/forEachPixel.html b/examples/forEachPixel.html index e0458c6..5bbb0d7 100644 --- a/examples/forEachPixel.html +++ b/examples/forEachPixel.html @@ -4,22 +4,29 @@ - + + + +

Pixpipejs

+

+ This does the following : +

+ +

+

-

The original image

+

The original image:

-

The transformed image, with switched chanels

+

The transformed image, with switched chanels:

diff --git a/examples/image2DToCanvas.html b/examples/image2DToCanvas.html index 8f8d86b..a1cab38 100644 --- a/examples/image2DToCanvas.html +++ b/examples/image2DToCanvas.html @@ -3,15 +3,28 @@ Image2D To Canvas + + + + +

Pixpipejs

+

+ This does the following : +

+ +

+ + + + +

Pixpipejs

+

+ This does the following : +

+

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Its architecture was somewhat inspired by [ITK](https://itk.org/), making a clear separation between objects that *contain* data (`Image2D`) from object that *process* data (`Filter`). The concept of *pipeline* implies that the output of a `Filter` can be used as input for the next one, like in *ITK*. In Pixpipe.js, this is done by using the `Filter`'s methods `addInput()` and `getOuput()`. Some `Filter` may have several *input* or *output* of different kinds. From 2dba422d8f3f0c49744b189a4fd153239a12add4 Mon Sep 17 00:00:00 2001 From: Jonathan Lurie Date: Thu, 9 Mar 2017 17:30:54 -0500 Subject: [PATCH 2/9] start spatial convolution filter --- dist/pixpipe.js | 197 ++++++++++++++++++++++++- dist/pixpipe.js.map | 2 +- src/core/Image2D.js | 56 ++++++- src/filter/SpatialConvolutionFilter.js | 20 +++ src/pixpipe.js | 3 + 5 files changed, 270 insertions(+), 8 deletions(-) create mode 100644 src/filter/SpatialConvolutionFilter.js diff --git a/dist/pixpipe.js b/dist/pixpipe.js index 58d55fa..fa2f4a1 100644 --- a/dist/pixpipe.js +++ b/dist/pixpipe.js @@ -354,6 +354,48 @@ class Image2D extends PixpipeObject{ } + /** + * Modify the color of a given pixel. + * @param {Object} position - 2D position in form {x, y} + * @param {Array} color - color, must have the same numb of components per pix than the image + */ + setPixel( position, color ){ + if("x" in position && position.x >=0 && position.x < this._width && + "y" in position && position.y >=0 && position.y < this._height && + color.length == this._componentsPerPixel) + { + + var pos1D = this.get1dIndexFrom2dPosition( position ); + + for(var i=0; i=0 && position.x < this._width && + "y" in position && position.y >=0 && position.y < this._height) + { + var pos1D = this.get1dIndexFrom2dPosition( position ); + var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel); + return color; + + }else{ + console.log(position); + console.warn("The requested position is outside the image."); + return null; + } + } + + /** * @return {Number} the width of the Image2D */ @@ -398,8 +440,8 @@ class Image2D extends PixpipeObject{ /** * Compute the (x, y) position from a position in a 1D array. - * @param {Number} i - the index of a pixel. This has nothing to do with - * the number of components per pixel. + * This has nothing to do with the number of components per pixel. + * @param {Number} i - the index of a pixel. * @return {Object} coordinate as {x, y} */ get2dPositionFrom1dIndex( i ){ @@ -409,6 +451,17 @@ class Image2D extends PixpipeObject{ } } + + /** + * Compute the 1D index within the data buffer from a 2D position {x, y}. + * This has nothing to do with the number of components per pixel. + * @param {Object} position - 2D coord like {x, y} + * @return {Number} the 1D position within the buffer + */ + get1dIndexFrom2dPosition( position ){ + return (position.x + position.y*this._width); + } + } /* END of class Image2D */ /* @@ -566,8 +619,6 @@ class CanvasImageWriter extends Filter{ */ update(){ - console.log(this._metadata); - // abort if invalid input if(!this.hasValidInput() ) return; @@ -818,7 +869,6 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { * Run the filter */ update(){ - console.log("hello2"); if( ! this.hasValidInput()) return; @@ -839,6 +889,141 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { } /* END class ForEachPixelImageFilter */ +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + +/** +* A filter of type ForEachRowImageFilter can perform a operation on evey pixel +* of an Image2D, row by row with a simple interface. This is actually the +* default behaviour of ForEachPixelImageFilter. This filter is especially +* usefull for generative design or visual experiments using cellular automata. +* For this purpose, a per-pixel-callback +* must be specified using method +* .on( "pixel" , function( coord, color ){ ... }) +* where coord is of form {x, y} and color is of form [r, g, b, a] (with possibly) +* a different number of components per pixel. +* This callback must return, or null (original color not modified), +* or a array of color (same dimension as the one in arguments). +* +* Usage: examples/forEachPixel.html +* +* @example +* var forEachPixelFilter = new pixpipe.ForEachPixelImageFilter(); +* forEachPixelFilter.on( "pixel", function(position, color){ +* +* return [ +* color[1], // red (takes the values from green) +* color[0], // green (takes the values from red) +* color[2] * 0.5, // blue get 50% darker +* 255 // alpha, at max +* ] +* +* } +* ); +* +*/ +class ForEachRowImageFilter extends PixelWiseImageFilter { + + constructor(){ + super(); + } + + + /** + * Run the filter + */ + update(){ + if( ! this.hasValidInput()) + return; + + var inputImage2D = this._getInput(); + var firstPixel = 0; + var lastPixel = inputImage2D.getWidth() * inputImage2D.getHeight(); + var increment = 1; + + this._inputBuffer = inputImage2D.getDataCopy(); + + this._forEachPixelOfSuch(firstPixel, lastPixel, increment ); + + // building the output + var img2D = new Image2D(); + img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight()); + this._setOutput( img2D ); + } + +} /* END class ForEachRowImageFilter */ + +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + +/** +* A filter of type ForEachColumnImageFilter can perform a operation on evey pixel +* of an Image2D, row by column with a simple interface. This filter is especially +* usefull for generative design or visual experiments using cellular automata. +* For this purpose, a per-pixel-callback +* must be specified using method +* .on( "pixel" , function( coord, color ){ ... }) +* where coord is of form {x, y} and color is of form [r, g, b, a] (with possibly) +* a different number of components per pixel. +* This callback must return, or null (original color not modified), +* or a array of color (same dimension as the one in arguments). +* +* Usage: examples/forEachPixel.html +* +* @example +* var forEachPixelFilter = new pixpipe.ForEachPixelImageFilter(); +* forEachPixelFilter.on( "pixel", function(position, color){ +* +* return [ +* color[1], // red (takes the values from green) +* color[0], // green (takes the values from red) +* color[2] * 0.5, // blue get 50% darker +* 255 // alpha, at max +* ] +* +* } +* ); +* +*/ +class ForEachColumnImageFilter extends PixelWiseImageFilter { + + constructor(){ + super(); + } + + + /** + * Run the filter + */ + update(){ + if( ! this.hasValidInput()) + return; + + var inputImage2D = this._getInput(); + var firstPixel = 0; + var lastPixel = inputImage2D.getWidth() * inputImage2D.getHeight(); + var increment = inputImage2D.getWidth(); + + this._inputBuffer = inputImage2D.getDataCopy(); + + this._forEachPixelOfSuch(firstPixel, lastPixel, increment ); + + // building the output + var img2D = new Image2D(); + img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight()); + this._setOutput( img2D ); + } + +} /* END class ForEachColumnImageFilter */ + // filters - processing of Image3D exports.PixpipeObject = PixpipeObject; @@ -850,6 +1035,8 @@ exports.CanvasImageWriter = CanvasImageWriter; exports.UrlImageReader = UrlImageReader; exports.FileImageReader = FileImageReader; exports.ForEachPixelImageFilter = ForEachPixelImageFilter; +exports.ForEachRowImageFilter = ForEachRowImageFilter; +exports.ForEachColumnImageFilter = ForEachColumnImageFilter; Object.defineProperty(exports, '__esModule', { value: true }); diff --git a/dist/pixpipe.js.map b/dist/pixpipe.js.map index 2ae82d4..a29333d 100644 --- a/dist/pixpipe.js.map +++ b/dist/pixpipe.js.map @@ -1 +1 @@ -{"version":3,"file":"pixpipe.js","sources":["../src/core/PixpipeObject.js","../src/core/Filter.js","../src/core/Image2D.js","../src/core/ImageToImageFilter.js","../src/core/PixelWiseImageFilter.js","../src/io/CanvasImageWriter.js","../src/io/UrlImageReader.js","../src/io/FileImageReader.js","../src/filter/ForEachPixelImageFilter.js","../src/pixpipe.js"],"sourcesContent":["/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n/**\n* PixpipeObject is the base object of all. It creates a uuid and has few\n* generic attributes like type, name and description. Not all these attributes\n* always useful;\n*/\nclass PixpipeObject {\n\n constructor(){\n // unique identifier\n this._uuid = 'xxxxxxxx-xxxx-4xxx-yxxx-xxxxxxxxxxxx'.replace(/[xy]/g, function(c) {\n var r = Math.random()*16|0, v = c == 'x' ? r : (r&0x3|0x8);\n return v.toString(16);\n });\n\n // Metadata can be anything, a name, an ID, a description, a DOM element.\n // everything that is not an input but rather a setting\n this._metadata = {};\n\n this._type = PixpipeObject.TYPE();\n }\n\n\n /**\n * Acces it like a static attribute.\n * Must be overloaded.\n */\n static TYPE(){\n return \"GENERIC\";\n }\n\n\n /**\n * Compare a give type to the type of this object.\n * @param {String} t - a type, better to call the static method of each object, like Image.TYPE()\n */\n isOfType( t ){\n return !(this._type.localeCompare(t))\n }\n\n\n /**\n * Get type of object.\n * @return {String} the type\n */\n getType(){\n this._type;\n }\n\n /**\n * Return a copy of the uuid\n */\n get uuid(){\n return this._uuid.slice();\n }\n\n\n /**\n * Set a metadata using a pair of key and value.\n * @param {String} key - the ID of the metadata\n * @param {Object} value - can be a string, Number or Object\n */\n setMetadata( key, value ){\n if(typeof key === 'string' || key instanceof String){\n this._metadata[ key ] = value;\n }else{\n console.warn(\"The given key must be a String Object.\");\n }\n\n }\n\n\n /**\n * Retrieve a metadata using a key.\n * @param {String} key - the ID of the metadata\n * @return {Object} the metadata object - or null if non existent\n */\n getMetadata( key ){\n if( key in this._metadata){\n return this._metadata[ key ];\n }else{\n console.warn(\"The metadata with key: \" + key + \" doe not exist.\");\n return null;\n }\n }\n\n\n\n\n}\n\nexport { PixpipeObject }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n/**\n* Filter is a base class and must be inherited to be used properly.\n* A filter takes one or more Image instances as input and returns one or more\n* instances of images as output.\n* Every filter has a addInput(), a getOutput() and a update() methods.\n* Every input and output can be arranged by category, so that internaly, a filter\n* can use and output diferent kind of data.\n*/\nclass Filter extends PixpipeObject {\n\n constructor(){\n super();\n this._type = Filter.TYPE();\n\n // a bunch of event to be defined. Empty by default.\n this._events = {};\n\n this._inputValidator = {};\n\n this._input = {\n \"0\": []\n };\n\n this._output = {\n \"0\" : []\n };\n\n }\n\n\n /**\n * Hardcode the datatype\n */\n static TYPE(){\n return \"FILTER\";\n }\n\n /**\n * Set an input, potentially associated to a category.\n * @param {Image2D} inputObject - most likely an instance of Image2D but can also be HTML5 File or Image3D\n * @param {Number} category - in case we want to get data from diferent categories.\n */\n addInput( inputObject, category=0){\n\n if(category < 0 ){\n console.warn(\"A input cannot be of category inferior to zero\");\n return;\n }\n\n // the category may not exist, we create it\n if( !(category in this._input) ){\n this._input[category] = null;\n }\n\n this._input[category] = inputObject ;\n }\n\n\n /**\n * Return outputs from a category (default category: 0)\n * @param {Number} category - a category of output.\n * @return {Object} or null if no output can be returned.\n */\n getOutput( category=0 ){\n if( category in this._output ){\n return this._output[ category ];\n }else{\n return null;\n }\n }\n\n\n /**\n * [PRIVATE]\n * should noly be used by the class that inherit Filter.\n * This is just a wraper to not access the raw _output object.\n * @param {Image2D} imageObject - instance of an image\n * @param {Number} category - in case we want to get data from different categories.\n */\n _setOutput( data, category=0 ){\n // the category may not exist, we create it\n if( !(category in this._output) ){\n this._output[category] = null;\n }\n\n this._output[category] = data ;\n }\n\n\n /**\n * [PRIVATE]\n * should noly be used by the class that inherit Filter.\n * @param {Number} category - in case we want to get data from different categories.\n * @return {Object} or null if no input can be returned\n */\n _getInput( category=0 ){\n if( category in this._input ){\n return this._input[ category ];\n }else{\n return null;\n }\n }\n\n\n /**\n * Validate the input data using a model defined in _inputValidator.\n * Every class that implement Filter must implement their own _inputValidator.\n * Not mandatory to use, still a good practice.\n */\n hasValidInput(){\n var that = this;\n var inputCategories = Object.keys( this._inputValidator );\n\n var valid = true;\n\n inputCategories.forEach( function(key){\n valid = valid && that._getInput( key ).isOfType( that._inputValidator[ key ] )\n });\n\n if(!valid){\n console.warn(\"The input is not valid.\");\n }\n\n return valid;\n }\n\n\n /**\n * MUST be implemented by the class that inherit this.\n * Launch the process.\n */\n update(){\n console.error(\"The update() method has not been written, this filter is not valid.\");\n }\n\n\n /**\n * Defines a callback. By defautl, no callback is called.\n */\n on(eventId, callback){\n this._events[ eventId ] = callback;\n }\n\n\n} /* END class Filter */\n\nexport { Filter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n/**\n* Image2D class is one of the few base element of Pixpipejs.\n* It is always considered to be 4 channels (RGBA) and stored as a Float32Array\n* typed array.\n*/\nclass Image2D extends PixpipeObject{\n\n\n /**\n * Constructor of an Image2D instance. If no options, no array is allocated.\n * @param {Object} options - if present, must have options.width, options.height. Also options.color = [r, g, b, a] is possible but not mandatory, this sets the default color.\n */\n constructor( options=null ){\n super();\n this._type = Image2D.TYPE();\n\n // a rgba stored in a Float32Array (typed array)\n this._data = null;\n this._width = -1;\n this._height = -1;\n this._componentsPerPixel = 4; // RGBA\n\n // allocate the array if size is specified\n if(options && \"width\" in options && \"height\" in options){\n\n if( options.width > 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init the color if specified\n if(\"color\" in options && options.color.length == 4 ){\n var color = options.color;\n\n for(var i=0; i 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init the color if specified\n if(\"color\" in options && options.color.length == 4 ){\n var color = options.color;\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.log(position);\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p=0 && position.x < this._width && + "y" in position && position.y >=0 && position.y < this._height && + color.length == this._componentsPerPixel) + { + + var pos1D = this.get1dIndexFrom2dPosition( position ); + + for(var i=0; i=0 && position.x < this._width && + "y" in position && position.y >=0 && position.y < this._height) + { + var pos1D = this.get1dIndexFrom2dPosition( position ); + var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel); + return color; + + }else{ + console.warn("The requested position is outside the image."); + return null; + } + } + + /** * @return {Number} the width of the Image2D */ @@ -144,8 +185,8 @@ class Image2D extends PixpipeObject{ /** * Compute the (x, y) position from a position in a 1D array. - * @param {Number} i - the index of a pixel. This has nothing to do with - * the number of components per pixel. + * This has nothing to do with the number of components per pixel. + * @param {Number} i - the index of a pixel. * @return {Object} coordinate as {x, y} */ get2dPositionFrom1dIndex( i ){ @@ -155,6 +196,17 @@ class Image2D extends PixpipeObject{ } } + + /** + * Compute the 1D index within the data buffer from a 2D position {x, y}. + * This has nothing to do with the number of components per pixel. + * @param {Object} position - 2D coord like {x, y} + * @return {Number} the 1D position within the buffer + */ + get1dIndexFrom2dPosition( position ){ + return (position.x + position.y*this._width); + } + } /* END of class Image2D */ export { Image2D } diff --git a/src/filter/SpatialConvolutionFilter.js b/src/filter/SpatialConvolutionFilter.js new file mode 100644 index 0000000..0d0c6ee --- /dev/null +++ b/src/filter/SpatialConvolutionFilter.js @@ -0,0 +1,20 @@ +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + +import { ImageToImageFilter } from './ImageToImageFilter.js'; + +/** +* +*/ +class SpatialConvolutionFilter extends ImageToImageFilter { + + constructor(){ + + } +} + +export { SpatialConvolutionFilter } diff --git a/src/pixpipe.js b/src/pixpipe.js index 25eac35..4863b1c 100644 --- a/src/pixpipe.js +++ b/src/pixpipe.js @@ -14,5 +14,8 @@ export { FileImageReader } from './io/FileImageReader.js'; // filters - processing of Images2D export { ForEachPixelImageFilter } from './filter/ForEachPixelImageFilter.js'; +export { SpatialConvolutionFilter } from './filter/SpatialConvolutionFilter.js'; + + // filters - processing of Image3D From 26baebf0bc1ca1212fe30156699e6957ef9e0117 Mon Sep 17 00:00:00 2001 From: Jonathan Lurie Date: Mon, 13 Mar 2017 12:48:52 -0400 Subject: [PATCH 3/9] ADD monoband --- dist/pixpipe.js | 162 ++++++----------------- dist/pixpipe.js.map | 2 +- examples/image2DToCanvas.html | 1 + examples/mathExpressionImage2D.html | 55 ++++++++ package.json | 8 +- rollup.config.js | 11 +- src/core/Image2D.js | 26 ++-- src/filter/ImageBlendExpressionFilter.js | 31 +++++ src/filter/MultiplyImageFilter.js | 27 ++++ src/filter/SpatialConvolutionFilter.js | 2 +- src/io/CanvasImageWriter.js | 32 ++++- src/pixpipe.js | 4 + 12 files changed, 216 insertions(+), 145 deletions(-) create mode 100644 examples/mathExpressionImage2D.html create mode 100644 src/filter/ImageBlendExpressionFilter.js create mode 100644 src/filter/MultiplyImageFilter.js diff --git a/dist/pixpipe.js b/dist/pixpipe.js index fa2f4a1..038d7a4 100644 --- a/dist/pixpipe.js +++ b/dist/pixpipe.js @@ -281,7 +281,7 @@ class Image2D extends PixpipeObject{ this._data = null; this._width = -1; this._height = -1; - this._componentsPerPixel = 4; // RGBA + this._componentsPerPixel = 4; // RGBA, by default // allocate the array if size is specified if(options && "width" in options && "height" in options){ @@ -289,21 +289,25 @@ class Image2D extends PixpipeObject{ if( options.width > 0 && options.height > 0){ this._width = options.width; this._height = options.height; + + if("color" in options){ + this._componentsPerPixel = options.color.length; + } + this._data = new Float32Array( this._width * this._height * this._componentsPerPixel ); - // init the color if specified - if("color" in options && options.color.length == 4 ){ + // init with the given color + if("color" in options){ var color = options.color; - - for(var i=0; i 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init the color if specified\n if(\"color\" in options && options.color.length == 4 ){\n var color = options.color;\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.log(position);\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; pPixpipejs // create an image var myImage = new pixpipe.Image2D({width: 100, height: 50, color: [255, 128, 64, 255]}) + console.log(myImage); // create a filter to write the image into a canvas var imageToCanvasFilter = new pixpipe.CanvasImageWriter( ); diff --git a/examples/mathExpressionImage2D.html b/examples/mathExpressionImage2D.html new file mode 100644 index 0000000..aff0cb6 --- /dev/null +++ b/examples/mathExpressionImage2D.html @@ -0,0 +1,55 @@ + + + URL to Image2D + + + + + + + + +

Pixpipejs

+

+ This does the following : +

    +
  • opening a distant image file with AJAX request, using pixpipe.UrlImageReader
    • +
  • displaying it in a canvas using pixpipe.CanvasImageWriter
    • +
+

+ +
+ + + + + diff --git a/package.json b/package.json index 1888589..433f81d 100644 --- a/package.json +++ b/package.json @@ -28,11 +28,15 @@ "url": "https://github.com/jonathanlurie/pixpipejs/issues" }, "homepage": "https://github.com/jonathanlurie/pixpipejs#readme", - "dependencies": {}, + "dependencies": { + "mathjs": "^3.10.0" + }, "devDependencies": { "gulp": "^3.9.1", "gulp-rollup": "^2.11.0", "gulp-util": "^3.0.8", - "rollup": "^0.41.4" + "rollup": "^0.41.4", + "rollup-plugin-commonjs": "^8.0.2", + "rollup-plugin-node-resolve": "^2.0.0" } } diff --git a/rollup.config.js b/rollup.config.js index c65e5d2..b8d67a6 100644 --- a/rollup.config.js +++ b/rollup.config.js @@ -1,9 +1,18 @@ var config = require('./package.json'); +import commonjs from 'rollup-plugin-commonjs'; +import nodeResolve from 'rollup-plugin-node-resolve'; + export default { entry: config.main, format: config.moduleFormat, moduleName: config.moduleName, sourceMap: true, - dest: config.moduleBuildDir + '/' + config.moduleName + '.js' + dest: config.moduleBuildDir + '/' + config.moduleName + '.js', + plugins: [ + nodeResolve(), + commonjs({ + sourceMap: false + }) + ] }; diff --git a/src/core/Image2D.js b/src/core/Image2D.js index 37d8319..e3dc506 100644 --- a/src/core/Image2D.js +++ b/src/core/Image2D.js @@ -27,7 +27,7 @@ class Image2D extends PixpipeObject{ this._data = null; this._width = -1; this._height = -1; - this._componentsPerPixel = 4; // RGBA + this._componentsPerPixel = 4; // RGBA, by default // allocate the array if size is specified if(options && "width" in options && "height" in options){ @@ -35,21 +35,25 @@ class Image2D extends PixpipeObject{ if( options.width > 0 && options.height > 0){ this._width = options.width; this._height = options.height; + + if("color" in options){ + this._componentsPerPixel = options.color.length; + } + this._data = new Float32Array( this._width * this._height * this._componentsPerPixel ); - // init the color if specified - if("color" in options && options.color.length == 4 ){ + // init with the given color + if("color" in options){ var color = options.color; - - for(var i=0; i Date: Mon, 13 Mar 2017 17:45:49 -0400 Subject: [PATCH 4/9] ADD SpectralScaleImageFilter --- dist/pixpipe.js | 1509 +++++++++++++++++++++- dist/pixpipe.js.map | 2 +- examples/forEachPixelGadient.html | 100 ++ package.json | 2 +- rollup.config.js | 4 +- src/core/Filter.js | 34 +- src/core/Image2D.js | 6 +- src/filter/ForEachPixelImageFilter.js | 2 +- src/filter/ImageBlendExpressionFilter.js | 27 +- src/filter/MultiplyImageFilter.js | 27 - src/filter/SpectralScaleImageFilter.js | 72 ++ src/io/CanvasImageWriter.js | 19 +- src/pixpipe.js | 2 +- 13 files changed, 1723 insertions(+), 83 deletions(-) create mode 100644 examples/forEachPixelGadient.html delete mode 100644 src/filter/MultiplyImageFilter.js create mode 100644 src/filter/SpectralScaleImageFilter.js diff --git a/dist/pixpipe.js b/dist/pixpipe.js index 038d7a4..ba42583 100644 --- a/dist/pixpipe.js +++ b/dist/pixpipe.js @@ -220,7 +220,6 @@ class Filter extends PixpipeObject { hasValidInput(){ var that = this; var inputCategories = Object.keys( this._inputValidator ); - var valid = true; inputCategories.forEach( function(key){ @@ -235,6 +234,39 @@ class Filter extends PixpipeObject { } + /** + * Check if all input image have the same size. + * @return {Boolean} true is same size, false if not. + */ + hasSameSizeInput(){ + var that = this; + var inputCategories = Object.keys( this._inputValidator ); + var sameSize = true; + + var widths = []; + var heights = []; + + inputCategories.forEach( function(key){ + widths.push( that._getInput( key ).getWidth() ); + heights.push( that._getInput( key ).getHeight() ); + }); + + // if all input have the same size + if(widths.length){ + widths.sort(); + heights.sort(); + sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) && + (heights[ 0 ] == heights[ heights.length -1 ] ); + + if( !sameSize ){ + console.warn("Input image do not all have the same size. Filter not valid"); + } + } + + return sameSize; + } + + /** * MUST be implemented by the class that inherit this. * Launch the process. @@ -338,14 +370,18 @@ class Image2D extends PixpipeObject{ * @param {Float32Array} array - 1D array of raw data stored as RGBARGBA... * @param {Number} width - width of the Image2D * @param {Number} height - height of the Image2D + * @param {Number} ncpp - number of components per pixel (default: 4) +} */ - setData( array, width, height ){ + setData( array, width, height, ncpp=4 ){ // do not alloz to set a new internal array if( this._data ){ console.warn("Data can be set to an Image2D object only once. Cannot init the Image2D."); return; } + this._componentsPerPixel = ncpp; + if( array.length != width*height*this._componentsPerPixel){ console.warn("The array size does not match the width and height. Cannot init the Image2D."); return; @@ -560,6 +596,7 @@ class PixelWiseImageFilter extends ImageToImageFilter{ * CanvasImageWriter is a filter to output an instance of Image into a * HTML5 canvas element. * The metadata "parentDivID" has to be set using `setMetadata("parentDivID", "whatever")` +* The metadata "alpha", if true, enable transparency. Default: false. * usage: examples/imageToCanvasFilter.html * * @example @@ -577,14 +614,14 @@ class CanvasImageWriter extends Filter{ * @param {String} parentDivID - dom id of the future canvas' parent. * (most likely the ID of a div) */ - constructor( parentDivID){ + constructor(){ // call Filter constructor super(); this._inputValidator[ 0 ] = Image2D.TYPE(); + this.setMetadata("alpha", false); // so that we can flush the content - this._parentId = parentDivID; this._canvas = null; this._ctx = null; } @@ -626,6 +663,15 @@ class CanvasImageWriter extends Filter{ if(!this.hasValidInput() ) return; + var image = this._input[0]; + var ncppSrc = image.getComponentsPerPixel(); + + // only Image2d with 1 or 4 bands can be displayed + if( ncppSrc != 1 && ncppSrc != 4){ + console.warn("Cannot write Image in canvas if contains other than 1 or 4 bands."); + return; + } + if(!this.getMetadata("parentDivID")){ console.error("The parent DIV ID to place the canvas element was not specified. Unable to display anything."); return; @@ -633,8 +679,7 @@ class CanvasImageWriter extends Filter{ // build a new canvas this._init(); - - var image = this._input[0]; + var useAlphaBand = this.getMetadata("alpha"); // resizing the canvas this._canvas.width = image.getWidth(); @@ -646,10 +691,30 @@ class CanvasImageWriter extends Filter{ // getting Image object data var originalImageDataArray = image.getData(); - // copying the data into the canvas array (clamped uint8) - originalImageDataArray.forEach( function(value, index){ - canvasImageDataArray[index] = value; - }); + if(ncppSrc == 4){ + // copying the data into the canvas array (clamped uint8) + originalImageDataArray.forEach( function(value, index){ + if(!useAlphaBand && index%4 == 3){ + canvasImageDataArray[index] = 255; + }else{ + canvasImageDataArray[index] = value; + } + }); + + }else if(ncppSrc == 1){ + originalImageDataArray.forEach( function(value, index){ + canvasImageDataArray[index*4] = value; + canvasImageDataArray[index*4 + 1] = value; + canvasImageDataArray[index*4 + 2] = value; + canvasImageDataArray[index*4 + 3] = 255; + }); + + } + + + + + this._ctx.putImageData(canvasImageData, 0, 0); @@ -886,7 +951,7 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { // building the output var img2D = new Image2D(); - img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight()); + img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight(), inputImage2D.getComponentsPerPixel()); this._setOutput( img2D ); } @@ -909,33 +974,1426 @@ class SpatialConvolutionFilter extends ImageToImageFilter { } } +var commonjsGlobal = typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : typeof self !== 'undefined' ? self : {}; + + + + + +function createCommonjsModule(fn, module) { + return module = { exports: {} }, fn(module, module.exports), module.exports; +} + +var bundle = createCommonjsModule(function (module, exports) { +(function (global, factory) { + module.exports = factory(); +}(commonjsGlobal, (function () { 'use strict'; + +/*! + Based on ndef.parser, by Raphael Graf(r@undefined.ch) + http://www.undefined.ch/mparser/index.html + + Ported to JavaScript and modified by Matthew Crumley (email@matthewcrumley.com, http://silentmatt.com/) + + You are free to use and modify this code in anyway you find useful. Please leave this comment in the code + to acknowledge its original source. If you feel like it, I enjoy hearing about projects that use my code, + but don't feel like you have to let me know or ask permission. +*/ + +function indexOf(array, obj) { + for (var i = 0; i < array.length; i++) { + if (array[i] === obj) { + return i; + } + } + return -1; +} + +var INUMBER = 'INUMBER'; +var IOP1 = 'IOP1'; +var IOP2 = 'IOP2'; +var IOP3 = 'IOP3'; +var IVAR = 'IVAR'; +var IFUNCALL = 'IFUNCALL'; +var IEXPR = 'IEXPR'; +var IMEMBER = 'IMEMBER'; + +function Instruction(type, value) { + this.type = type; + this.value = (value !== undefined && value !== null) ? value : 0; +} + +Instruction.prototype.toString = function () { + switch (this.type) { + case INUMBER: + case IOP1: + case IOP2: + case IOP3: + case IVAR: + return this.value; + case IFUNCALL: + return 'CALL ' + this.value; + case IMEMBER: + return '.' + this.value; + default: + return 'Invalid Instruction'; + } +}; + +function Expression(tokens, parser) { + this.tokens = tokens; + this.parser = parser; + this.unaryOps = parser.unaryOps; + this.binaryOps = parser.binaryOps; + this.ternaryOps = parser.ternaryOps; + this.functions = parser.functions; +} + +function escapeValue(v) { + if (typeof v === 'string') { + return JSON.stringify(v).replace(/\u2028/g, '\\u2028').replace(/\u2029/g, '\\u2029'); + } + return v; +} + +function simplify(tokens, unaryOps, binaryOps, ternaryOps, values) { + var nstack = []; + var newexpression = []; + var n1, n2, n3; + var f; + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + var type = item.type; + if (type === INUMBER) { + nstack.push(item); + } else if (type === IVAR && values.hasOwnProperty(item.value)) { + item = new Instruction(INUMBER, values[item.value]); + nstack.push(item); + } else if (type === IOP2 && nstack.length > 1) { + n2 = nstack.pop(); + n1 = nstack.pop(); + f = binaryOps[item.value]; + item = new Instruction(INUMBER, f(n1.value, n2.value)); + nstack.push(item); + } else if (type === IOP3 && nstack.length > 2) { + n3 = nstack.pop(); + n2 = nstack.pop(); + n1 = nstack.pop(); + if (item.value === '?') { + nstack.push(n1.value ? n2.value : n3.value); + } else { + f = ternaryOps[item.value]; + item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value)); + nstack.push(item); + } + } else if (type === IOP1 && nstack.length > 0) { + n1 = nstack.pop(); + f = unaryOps[item.value]; + item = new Instruction(INUMBER, f(n1.value)); + nstack.push(item); + } else if (type === IEXPR) { + while (nstack.length > 0) { + newexpression.push(nstack.shift()); + } + newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values))); + } else if (type === IMEMBER && nstack.length > 0) { + n1 = nstack.pop(); + nstack.push(new Instruction(INUMBER, n1.value[item.value])); + } else { + while (nstack.length > 0) { + newexpression.push(nstack.shift()); + } + newexpression.push(item); + } + } + while (nstack.length > 0) { + newexpression.push(nstack.shift()); + } + return newexpression; +} + +Expression.prototype.simplify = function (values) { + values = values || {}; + return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser); +}; + +function substitute(tokens, variable, expr) { + var newexpression = []; + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + var type = item.type; + if (type === IVAR && item.value === variable) { + for (var j = 0; j < expr.tokens.length; j++) { + var expritem = expr.tokens[j]; + var replitem; + if (expritem.type === IOP1) { + replitem = unaryInstruction(expritem.value); + } else if (expritem.type === IOP2) { + replitem = binaryInstruction(expritem.value); + } else if (expritem.type === IOP3) { + replitem = ternaryInstruction(expritem.value); + } else { + replitem = new Instruction(expritem.type, expritem.value); + } + newexpression.push(replitem); + } + } else if (type === IEXPR) { + newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr))); + } else { + newexpression.push(item); + } + } + return newexpression; +} + +Expression.prototype.substitute = function (variable, expr) { + if (!(expr instanceof Expression)) { + expr = this.parser.parse(String(expr)); + } + + return new Expression(substitute(this.tokens, variable, expr), this.parser); +}; + +function evaluate(tokens, expr, values) { + var nstack = []; + var n1, n2, n3; + var f; + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + var type = item.type; + if (type === INUMBER) { + nstack.push(item.value); + } else if (type === IOP2) { + n2 = nstack.pop(); + n1 = nstack.pop(); + f = expr.binaryOps[item.value]; + nstack.push(f(n1, n2)); + } else if (type === IOP3) { + n3 = nstack.pop(); + n2 = nstack.pop(); + n1 = nstack.pop(); + if (item.value === '?') { + nstack.push(evaluate(n1 ? n2 : n3, expr, values)); + } else { + f = expr.ternaryOps[item.value]; + nstack.push(f(n1, n2, n3)); + } + } else if (type === IVAR) { + if (item.value in expr.functions) { + nstack.push(expr.functions[item.value]); + } else { + var v = values[item.value]; + if (v !== undefined) { + nstack.push(v); + } else { + throw new Error('undefined variable: ' + item.value); + } + } + } else if (type === IOP1) { + n1 = nstack.pop(); + f = expr.unaryOps[item.value]; + nstack.push(f(n1)); + } else if (type === IFUNCALL) { + var argCount = item.value; + var args = []; + while (argCount-- > 0) { + args.unshift(nstack.pop()); + } + f = nstack.pop(); + if (f.apply && f.call) { + nstack.push(f.apply(undefined, args)); + } else { + throw new Error(f + ' is not a function'); + } + } else if (type === IEXPR) { + nstack.push(item.value); + } else if (type === IMEMBER) { + n1 = nstack.pop(); + nstack.push(n1[item.value]); + } else { + throw new Error('invalid Expression'); + } + } + if (nstack.length > 1) { + throw new Error('invalid Expression (parity)'); + } + return nstack[0]; +} + +Expression.prototype.evaluate = function (values) { + values = values || {}; + return evaluate(this.tokens, this, values); +}; + +function expressionToString(tokens, toJS) { + var nstack = []; + var n1, n2, n3; + var f; + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + var type = item.type; + if (type === INUMBER) { + if (typeof item.value === 'number' && item.value < 0) { + nstack.push('(' + item.value + ')'); + } else { + nstack.push(escapeValue(item.value)); + } + } else if (type === IOP2) { + n2 = nstack.pop(); + n1 = nstack.pop(); + f = item.value; + if (toJS) { + if (f === '^') { + nstack.push('Math.pow(' + n1 + ', ' + n2 + ')'); + } else if (f === 'and') { + nstack.push('(!!' + n1 + ' && !!' + n2 + ')'); + } else if (f === 'or') { + nstack.push('(!!' + n1 + ' || !!' + n2 + ')'); + } else if (f === '||') { + nstack.push('(String(' + n1 + ') + String(' + n2 + '))'); + } else if (f === '==') { + nstack.push('(' + n1 + ' === ' + n2 + ')'); + } else if (f === '!=') { + nstack.push('(' + n1 + ' !== ' + n2 + ')'); + } else { + nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')'); + } + } else { + nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')'); + } + } else if (type === IOP3) { + n3 = nstack.pop(); + n2 = nstack.pop(); + n1 = nstack.pop(); + f = item.value; + if (f === '?') { + nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')'); + } else { + throw new Error('invalid Expression'); + } + } else if (type === IVAR) { + nstack.push(item.value); + } else if (type === IOP1) { + n1 = nstack.pop(); + f = item.value; + if (f === '-' || f === '+') { + nstack.push('(' + f + n1 + ')'); + } else if (toJS) { + if (f === 'not') { + nstack.push('(' + '!' + n1 + ')'); + } else if (f === '!') { + nstack.push('fac(' + n1 + ')'); + } else { + nstack.push(f + '(' + n1 + ')'); + } + } else if (f === '!') { + nstack.push('(' + n1 + '!)'); + } else { + nstack.push('(' + f + ' ' + n1 + ')'); + } + } else if (type === IFUNCALL) { + var argCount = item.value; + var args = []; + while (argCount-- > 0) { + args.unshift(nstack.pop()); + } + f = nstack.pop(); + nstack.push(f + '(' + args.join(', ') + ')'); + } else if (type === IMEMBER) { + n1 = nstack.pop(); + nstack.push(n1 + '.' + item.value); + } else if (type === IEXPR) { + nstack.push('(' + expressionToString(item.value, toJS) + ')'); + } else { + throw new Error('invalid Expression'); + } + } + if (nstack.length > 1) { + throw new Error('invalid Expression (parity)'); + } + return nstack[0]; +} + +Expression.prototype.toString = function () { + return expressionToString(this.tokens, false); +}; + +function getSymbols(tokens, symbols) { + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) { + symbols.push(item.value); + } else if (item.type === IEXPR) { + getSymbols(item.value, symbols); + } + } +} + +Expression.prototype.symbols = function () { + var vars = []; + getSymbols(this.tokens, vars); + return vars; +}; + +Expression.prototype.variables = function () { + var vars = []; + getSymbols(this.tokens, vars); + var functions = this.functions; + return vars.filter(function (name) { + return !(name in functions); + }); +}; + +Expression.prototype.toJSFunction = function (param, variables) { + var expr = this; + var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func + return function () { + return f.apply(expr, arguments); + }; +}; + +function add(a, b) { + return Number(a) + Number(b); +} +function sub(a, b) { + return a - b; +} +function mul(a, b) { + return a * b; +} +function div(a, b) { + return a / b; +} +function mod(a, b) { + return a % b; +} +function concat(a, b) { + return '' + a + b; +} +function equal(a, b) { + return a === b; +} +function notEqual(a, b) { + return a !== b; +} +function greaterThan(a, b) { + return a > b; +} +function lessThan(a, b) { + return a < b; +} +function greaterThanEqual(a, b) { + return a >= b; +} +function lessThanEqual(a, b) { + return a <= b; +} +function andOperator(a, b) { + return Boolean(a && b); +} +function orOperator(a, b) { + return Boolean(a || b); +} +function sinh(a) { + return ((Math.exp(a) - Math.exp(-a)) / 2); +} +function cosh(a) { + return ((Math.exp(a) + Math.exp(-a)) / 2); +} +function tanh(a) { + if (a === Infinity) return 1; + if (a === -Infinity) return -1; + return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a)); +} +function asinh(a) { + if (a === -Infinity) return a; + return Math.log(a + Math.sqrt(a * a + 1)); +} +function acosh(a) { + return Math.log(a + Math.sqrt(a * a - 1)); +} +function atanh(a) { + return (Math.log((1 + a) / (1 - a)) / 2); +} +function log10(a) { + return Math.log(a) * Math.LOG10E; +} +function neg(a) { + return -a; +} +function not(a) { + return !a; +} +function trunc(a) { + return a < 0 ? Math.ceil(a) : Math.floor(a); +} +function random(a) { + return Math.random() * (a || 1); +} +function factorial(a) { // a! + return gamma(a + 1); +} +function stringLength(s) { + return String(s).length; +} + +function hypot() { + var sum = 0; + var larg = 0; + for (var i = 0, L = arguments.length; i < L; i++) { + var arg = Math.abs(arguments[i]); + var div; + if (larg < arg) { + div = larg / arg; + sum = sum * div * div + 1; + larg = arg; + } else if (arg > 0) { + div = arg / larg; + sum += div * div; + } else { + sum += arg; + } + } + return larg === Infinity ? Infinity : larg * Math.sqrt(sum); +} + +function condition(cond, yep, nope) { + return cond ? yep : nope; +} + +function isInteger(value) { + return isFinite(value) && (value === Math.round(value)); +} + +var GAMMA_G = 4.7421875; +var GAMMA_P = [ + 0.99999999999999709182, + 57.156235665862923517, -59.597960355475491248, + 14.136097974741747174, -0.49191381609762019978, + 0.33994649984811888699e-4, + 0.46523628927048575665e-4, -0.98374475304879564677e-4, + 0.15808870322491248884e-3, -0.21026444172410488319e-3, + 0.21743961811521264320e-3, -0.16431810653676389022e-3, + 0.84418223983852743293e-4, -0.26190838401581408670e-4, + 0.36899182659531622704e-5 +]; + +// Gamma function from math.js +function gamma(n) { + var t, x; + + if (isInteger(n)) { + if (n <= 0) { + return isFinite(n) ? Infinity : NaN; + } + + if (n > 171) { + return Infinity; // Will overflow + } + + var value = n - 2; + var res = n - 1; + while (value > 1) { + res *= value; + value--; + } + + if (res === 0) { + res = 1; // 0! is per definition 1 + } + + return res; + } + + if (n < 0.5) { + return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n)); + } + + if (n >= 171.35) { + return Infinity; // will overflow + } + + if (n > 85.0) { // Extended Stirling Approx + var twoN = n * n; + var threeN = twoN * n; + var fourN = threeN * n; + var fiveN = fourN * n; + return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) * + (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) - + 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) + + 5246819 / (75246796800 * fiveN * n)); + } + + --n; + x = GAMMA_P[0]; + for (var i = 1; i < GAMMA_P.length; ++i) { + x += GAMMA_P[i] / (n + i); + } + + t = n + GAMMA_G + 0.5; + return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x; +} + +var TEOF = 'TEOF'; +var TOP = 'TOP'; +var TNUMBER = 'TNUMBER'; +var TSTRING = 'TSTRING'; +var TPAREN = 'TPAREN'; +var TCOMMA = 'TCOMMA'; +var TNAME = 'TNAME'; + +function Token(type, value, line, column) { + this.type = type; + this.value = value; + this.line = line; + this.column = column; +} + +Token.prototype.toString = function () { + return this.type + ': ' + this.value; +}; + +function TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) { + this.pos = 0; + this.line = 0; + this.column = 0; + this.current = null; + this.unaryOps = unaryOps; + this.binaryOps = binaryOps; + this.ternaryOps = ternaryOps; + this.consts = consts; + this.expression = expression; + this.savedPosition = 0; + this.savedCurrent = null; + this.savedLine = 0; + this.savedColumn = 0; +} + +TokenStream.prototype.newToken = function (type, value, line, column) { + return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column); +}; + +TokenStream.prototype.save = function () { + this.savedPosition = this.pos; + this.savedCurrent = this.current; + this.savedLine = this.line; + this.savedColumn = this.column; +}; + +TokenStream.prototype.restore = function () { + this.pos = this.savedPosition; + this.current = this.savedCurrent; + this.line = this.savedLine; + this.column = this.savedColumn; +}; + +TokenStream.prototype.next = function () { + if (this.pos >= this.expression.length) { + return this.newToken(TEOF, 'EOF'); + } + + if (this.isWhitespace() || this.isComment()) { + return this.next(); + } else if (this.isNumber() || + this.isOperator() || + this.isString() || + this.isParen() || + this.isComma() || + this.isNamedOp() || + this.isConst() || + this.isName()) { + return this.current; + } else { + this.parseError('Unknown character "' + this.expression.charAt(this.pos) + '"'); + } +}; + +TokenStream.prototype.isString = function () { + var r = false; + var startLine = this.line; + var startColumn = this.column; + var startPos = this.pos; + var quote = this.expression.charAt(startPos); + + if (quote === '\'' || quote === '"') { + this.pos++; + this.column++; + var index = this.expression.indexOf(quote, startPos + 1); + while (index >= 0 && this.pos < this.expression.length) { + this.pos = index + 1; + if (this.expression.charAt(index - 1) !== '\\') { + var rawString = this.expression.substring(startPos + 1, index); + this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn); + var newLine = rawString.indexOf('\n'); + var lastNewline = -1; + while (newLine >= 0) { + this.line++; + this.column = 0; + lastNewline = newLine; + newLine = rawString.indexOf('\n', newLine + 1); + } + this.column += rawString.length - lastNewline; + r = true; + break; + } + index = this.expression.indexOf(quote, index + 1); + } + } + return r; +}; + +TokenStream.prototype.isParen = function () { + var char = this.expression.charAt(this.pos); + if (char === '(' || char === ')') { + this.current = this.newToken(TPAREN, char); + this.pos++; + this.column++; + return true; + } + return false; +}; + +TokenStream.prototype.isComma = function () { + var char = this.expression.charAt(this.pos); + if (char === ',') { + this.current = this.newToken(TCOMMA, ','); + this.pos++; + this.column++; + return true; + } + return false; +}; + +TokenStream.prototype.isConst = function () { + var startPos = this.pos; + var i = startPos; + for (; i < this.expression.length; i++) { + var c = this.expression.charAt(i); + if (c.toUpperCase() === c.toLowerCase()) { + if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) { + break; + } + } + } + if (i > startPos) { + var str = this.expression.substring(startPos, i); + if (str in this.consts) { + this.current = this.newToken(TNUMBER, this.consts[str]); + this.pos += str.length; + this.column += str.length; + return true; + } + } + return false; +}; + +TokenStream.prototype.isNamedOp = function () { + var startPos = this.pos; + var i = startPos; + for (; i < this.expression.length; i++) { + var c = this.expression.charAt(i); + if (c.toUpperCase() === c.toLowerCase()) { + if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) { + break; + } + } + } + if (i > startPos) { + var str = this.expression.substring(startPos, i); + if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) { + this.current = this.newToken(TOP, str); + this.pos += str.length; + this.column += str.length; + return true; + } + } + return false; +}; + +TokenStream.prototype.isName = function () { + var startPos = this.pos; + var i = startPos; + for (; i < this.expression.length; i++) { + var c = this.expression.charAt(i); + if (c.toUpperCase() === c.toLowerCase()) { + if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) { + break; + } + } + } + if (i > startPos) { + var str = this.expression.substring(startPos, i); + this.current = this.newToken(TNAME, str); + this.pos += str.length; + this.column += str.length; + return true; + } + return false; +}; + +TokenStream.prototype.isWhitespace = function () { + var r = false; + var char = this.expression.charAt(this.pos); + while (char === ' ' || char === '\t' || char === '\n' || char === '\r') { + r = true; + this.pos++; + this.column++; + if (char === '\n') { + this.line++; + this.column = 0; + } + if (this.pos >= this.expression.length) { + break; + } + char = this.expression.charAt(this.pos); + } + return r; +}; + +var codePointPattern = /^[0-9a-f]{4}$/i; + +TokenStream.prototype.unescape = function (v) { + var index = v.indexOf('\\'); + if (index < 0) { + return v; + } + + var buffer = v.substring(0, index); + while (index >= 0) { + var c = v.charAt(++index); + switch (c) { + case '\'': + buffer += '\''; + break; + case '"': + buffer += '"'; + break; + case '\\': + buffer += '\\'; + break; + case '/': + buffer += '/'; + break; + case 'b': + buffer += '\b'; + break; + case 'f': + buffer += '\f'; + break; + case 'n': + buffer += '\n'; + break; + case 'r': + buffer += '\r'; + break; + case 't': + buffer += '\t'; + break; + case 'u': + // interpret the following 4 characters as the hex of the unicode code point + var codePoint = v.substring(index + 1, index + 5); + if (!codePointPattern.test(codePoint)) { + this.parseError('Illegal escape sequence: \\u' + codePoint); + } + buffer += String.fromCharCode(parseInt(codePoint, 16)); + index += 4; + break; + default: + throw this.parseError('Illegal escape sequence: "\\' + c + '"'); + } + ++index; + var backslash = v.indexOf('\\', index); + buffer += v.substring(index, backslash < 0 ? v.length : backslash); + index = backslash; + } + + return buffer; +}; + +TokenStream.prototype.isComment = function () { + var char = this.expression.charAt(this.pos); + if (char === '/' && this.expression.charAt(this.pos + 1) === '*') { + var startPos = this.pos; + this.pos = this.expression.indexOf('*/', this.pos) + 2; + if (this.pos === 1) { + this.pos = this.expression.length; + } + var comment = this.expression.substring(startPos, this.pos); + var newline = comment.indexOf('\n'); + while (newline >= 0) { + this.line++; + this.column = comment.length - newline; + newline = comment.indexOf('\n', newline + 1); + } + return true; + } + return false; +}; + +TokenStream.prototype.isNumber = function () { + var valid = false; + var pos = this.pos; + var startPos = pos; + var resetPos = pos; + var column = this.column; + var resetColumn = column; + var foundDot = false; + var foundDigits = false; + var char; + + while (pos < this.expression.length) { + char = this.expression.charAt(pos); + if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) { + if (char === '.') { + foundDot = true; + } else { + foundDigits = true; + } + pos++; + column++; + valid = foundDigits; + } else { + break; + } + } + + if (valid) { + resetPos = pos; + resetColumn = column; + } + + if (char === 'e' || char === 'E') { + pos++; + column++; + var acceptSign = true; + var validExponent = false; + while (pos < this.expression.length) { + char = this.expression.charAt(pos); + if (acceptSign && (char === '+' || char === '-')) { + acceptSign = false; + } else if (char >= '0' && char <= '9') { + validExponent = true; + acceptSign = false; + } else { + break; + } + pos++; + column++; + } + + if (!validExponent) { + pos = resetPos; + column = resetColumn; + } + } + + if (valid) { + this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos))); + this.pos = pos; + this.column = column; + } else { + this.pos = resetPos; + this.column = resetColumn; + } + return valid; +}; + +TokenStream.prototype.isOperator = function () { + var char = this.expression.charAt(this.pos); + + if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') { + this.current = this.newToken(TOP, char); + } else if (char === '∙' || char === '•') { + this.current = this.newToken(TOP, '*'); + } else if (char === '>') { + if (this.expression.charAt(this.pos + 1) === '=') { + this.current = this.newToken(TOP, '>='); + this.pos++; + this.column++; + } else { + this.current = this.newToken(TOP, '>'); + } + } else if (char === '<') { + if (this.expression.charAt(this.pos + 1) === '=') { + this.current = this.newToken(TOP, '<='); + this.pos++; + this.column++; + } else { + this.current = this.newToken(TOP, '<'); + } + } else if (char === '|') { + if (this.expression.charAt(this.pos + 1) === '|') { + this.current = this.newToken(TOP, '||'); + this.pos++; + this.column++; + } else { + return false; + } + } else if (char === '=') { + if (this.expression.charAt(this.pos + 1) === '=') { + this.current = this.newToken(TOP, '=='); + this.pos++; + this.column++; + } else { + return false; + } + } else if (char === '!') { + if (this.expression.charAt(this.pos + 1) === '=') { + this.current = this.newToken(TOP, '!='); + this.pos++; + this.column++; + } else { + this.current = this.newToken(TOP, char); + } + } else { + return false; + } + this.pos++; + this.column++; + return true; +}; + +TokenStream.prototype.parseError = function (msg) { + throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg); +}; + +var unaryInstructionCache = {}; +function unaryInstruction(value) { + var inst = unaryInstructionCache[value]; + if (!inst) { + inst = unaryInstructionCache[value] = new Instruction(IOP1, value); + } + return inst; +} + +var binaryInstructionCache = {}; +function binaryInstruction(value) { + var inst = binaryInstructionCache[value]; + if (!inst) { + inst = binaryInstructionCache[value] = new Instruction(IOP2, value); + } + return inst; +} + +var ternaryInstructionCache = {}; +function ternaryInstruction(value) { + var inst = ternaryInstructionCache[value]; + if (!inst) { + inst = ternaryInstructionCache[value] = new Instruction(IOP3, value); + } + return inst; +} + +function ParserState(parser, tokenStream) { + this.parser = parser; + this.tokens = tokenStream; + this.current = null; + this.nextToken = null; + this.next(); + this.savedCurrent = null; + this.savedNextToken = null; +} + +ParserState.prototype.next = function () { + this.current = this.nextToken; + return (this.nextToken = this.tokens.next()); +}; + +ParserState.prototype.tokenMatches = function (token, value) { + if (typeof value === 'undefined') { + return true; + } else if (Array.isArray(value)) { + return indexOf(value, token.value) >= 0; + } else if (typeof value === 'function') { + return value(token); + } else { + return token.value === value; + } +}; + +ParserState.prototype.save = function () { + this.savedCurrent = this.current; + this.savedNextToken = this.nextToken; + this.tokens.save(); +}; + +ParserState.prototype.restore = function () { + this.tokens.restore(); + this.current = this.savedCurrent; + this.nextToken = this.savedNextToken; +}; + +ParserState.prototype.accept = function (type, value) { + if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) { + this.next(); + return true; + } + return false; +}; + +ParserState.prototype.expect = function (type, value) { + if (!this.accept(type, value)) { + throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type)); + } +}; + +ParserState.prototype.parseAtom = function (instr) { + if (this.accept(TNAME)) { + instr.push(new Instruction(IVAR, this.current.value)); + } else if (this.accept(TNUMBER)) { + instr.push(new Instruction(INUMBER, this.current.value)); + } else if (this.accept(TSTRING)) { + instr.push(new Instruction(INUMBER, this.current.value)); + } else if (this.accept(TPAREN, '(')) { + this.parseExpression(instr); + this.expect(TPAREN, ')'); + } else { + throw new Error('unexpected ' + this.nextToken); + } +}; + +ParserState.prototype.parseExpression = function (instr) { + this.parseConditionalExpression(instr); +}; + +ParserState.prototype.parseConditionalExpression = function (instr) { + this.parseOrExpression(instr); + while (this.accept(TOP, '?')) { + var trueBranch = []; + var falseBranch = []; + this.parseConditionalExpression(trueBranch); + this.expect(TOP, ':'); + this.parseConditionalExpression(falseBranch); + instr.push(new Instruction(IEXPR, trueBranch)); + instr.push(new Instruction(IEXPR, falseBranch)); + instr.push(ternaryInstruction('?')); + } +}; + +ParserState.prototype.parseOrExpression = function (instr) { + this.parseAndExpression(instr); + while (this.accept(TOP, 'or')) { + this.parseAndExpression(instr); + instr.push(binaryInstruction('or')); + } +}; + +ParserState.prototype.parseAndExpression = function (instr) { + this.parseComparison(instr); + while (this.accept(TOP, 'and')) { + this.parseComparison(instr); + instr.push(binaryInstruction('and')); + } +}; + +ParserState.prototype.parseComparison = function (instr) { + this.parseAddSub(instr); + while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) { + var op = this.current; + this.parseAddSub(instr); + instr.push(binaryInstruction(op.value)); + } +}; + +ParserState.prototype.parseAddSub = function (instr) { + this.parseTerm(instr); + while (this.accept(TOP, ['+', '-', '||'])) { + var op = this.current; + this.parseTerm(instr); + instr.push(binaryInstruction(op.value)); + } +}; + +ParserState.prototype.parseTerm = function (instr) { + this.parseFactor(instr); + while (this.accept(TOP, ['*', '/', '%'])) { + var op = this.current; + this.parseFactor(instr); + instr.push(binaryInstruction(op.value)); + } +}; + +ParserState.prototype.parseFactor = function (instr) { + var unaryOps = this.tokens.unaryOps; + function isPrefixOperator(token) { + return token.value in unaryOps; + } + + this.save(); + if (this.accept(TOP, isPrefixOperator)) { + if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) { + this.restore(); + this.parseExponential(instr); + } else { + var op = this.current; + this.parseFactor(instr); + instr.push(unaryInstruction(op.value)); + } + } else { + this.parseExponential(instr); + } +}; + +ParserState.prototype.parseExponential = function (instr) { + this.parsePostfixExpression(instr); + while (this.accept(TOP, '^')) { + this.parseFactor(instr); + instr.push(binaryInstruction('^')); + } +}; + +ParserState.prototype.parsePostfixExpression = function (instr) { + this.parseFunctionCall(instr); + while (this.accept(TOP, '!')) { + instr.push(unaryInstruction('!')); + } +}; + +ParserState.prototype.parseFunctionCall = function (instr) { + var unaryOps = this.tokens.unaryOps; + function isPrefixOperator(token) { + return token.value in unaryOps; + } + + if (this.accept(TOP, isPrefixOperator)) { + var op = this.current; + this.parseAtom(instr); + instr.push(unaryInstruction(op.value)); + } else { + this.parseMemberExpression(instr); + while (this.accept(TPAREN, '(')) { + if (this.accept(TPAREN, ')')) { + instr.push(new Instruction(IFUNCALL, 0)); + } else { + var argCount = this.parseArgumentList(instr); + instr.push(new Instruction(IFUNCALL, argCount)); + } + } + } +}; + +ParserState.prototype.parseArgumentList = function (instr) { + var argCount = 0; + + while (!this.accept(TPAREN, ')')) { + this.parseExpression(instr); + ++argCount; + while (this.accept(TCOMMA)) { + this.parseExpression(instr); + ++argCount; + } + } + + return argCount; +}; + +ParserState.prototype.parseMemberExpression = function (instr) { + this.parseAtom(instr); + while (this.accept(TOP, '.')) { + this.expect(TNAME); + instr.push(new Instruction(IMEMBER, this.current.value)); + } +}; + +function Parser() { + this.unaryOps = { + sin: Math.sin, + cos: Math.cos, + tan: Math.tan, + asin: Math.asin, + acos: Math.acos, + atan: Math.atan, + sinh: Math.sinh || sinh, + cosh: Math.cosh || cosh, + tanh: Math.tanh || tanh, + asinh: Math.asinh || asinh, + acosh: Math.acosh || acosh, + atanh: Math.atanh || atanh, + sqrt: Math.sqrt, + log: Math.log, + ln: Math.log, + lg: Math.log10 || log10, + log10: Math.log10 || log10, + abs: Math.abs, + ceil: Math.ceil, + floor: Math.floor, + round: Math.round, + trunc: Math.trunc || trunc, + '-': neg, + '+': Number, + exp: Math.exp, + not: not, + length: stringLength, + '!': factorial + }; + + this.binaryOps = { + '+': add, + '-': sub, + '*': mul, + '/': div, + '%': mod, + '^': Math.pow, + '||': concat, + '==': equal, + '!=': notEqual, + '>': greaterThan, + '<': lessThan, + '>=': greaterThanEqual, + '<=': lessThanEqual, + and: andOperator, + or: orOperator + }; + + this.ternaryOps = { + '?': condition + }; + + this.functions = { + random: random, + fac: factorial, + min: Math.min, + max: Math.max, + hypot: Math.hypot || hypot, + pyt: Math.hypot || hypot, // backward compat + pow: Math.pow, + atan2: Math.atan2, + 'if': condition, + gamma: gamma + }; + + this.consts = { + E: Math.E, + PI: Math.PI, + 'true': true, + 'false': false + }; +} + +Parser.parse = function (expr) { + return new Parser().parse(expr); +}; + +Parser.evaluate = function (expr, variables) { + return Parser.parse(expr).evaluate(variables); +}; + +Parser.prototype = { + parse: function (expr) { + var instr = []; + var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts)); + parserState.parseExpression(instr); + parserState.expect(TEOF, 'EOF'); + + return new Expression(instr, this); + }, + + evaluate: function (expr, variables) { + return this.parse(expr).evaluate(variables); + } +}; + +var parser = { + Parser: Parser, + Expression: Expression +}; + +return parser; + +}))); +}); + //import mathjs from 'mathjs'; +//var Parser = require('expr-eval').Parser; + class ImageBlendExpressionFilter extends ImageToImageFilter { constructor(){ super(); - - /* - // provide a scope - console.log('\nprovide a scope'); - var node2 = mathjs.parse('x^a'); - var code2 = node2.compile(); - console.log(node2.toString()); // "x ^ a" - var scope = { - x: 3, - a: 2 - }; - console.log(code2.eval(scope)); - console.log(mathjs); - */ + + var parser = new bundle.Parser(); + var expr = parser.parse('2 * x + 1'); + console.log(expr.evaluate({ x: 3 })); // 7 + + // or + //Parser.evaluate('6 * x', { x: 7 }) // 42 + } } /* END of class ImageBlendExpressionFilter */ +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + +/** +* Multiply an image by the other, like a scaling function. +* The image requires two inputs named "0" and "1". +* Simply use `addInput( myImg1, "0" )` +* and `addInput( myImg2, "1" )`. The input "0" can have 1 or more bands while +* the input "1" can have only one band since the same scale is apply to each band. +* +* usage: examples/forEachPixelGadient.html +*/ +class SpectralScaleImageFilter extends ImageToImageFilter { + + constructor(){ + super(); + + // both input are images. + this._inputValidator[ 0 ] = Image2D.TYPE(); + this._inputValidator[ 1 ] = Image2D.TYPE(); + } + + + /** + * Run the filter + */ + update(){ + // filter must have valid input of the same size + if( !this.hasSameSizeInput() || !this.hasValidInput()){ + return; + } + + var dataImg0 = this._getInput(0); + var dataImg1 = this._getInput(1); + + // the input "1" (aka. the scaling data) must be single band + if( dataImg1.getComponentsPerPixel() != 1 ){ + console.warn("The scaling image must have one single band."); + return; + } + + var nbOfPixels = dataImg0.getWidth() * dataImg0.getHeight(); + var ncpp = dataImg0.getComponentsPerPixel(); + + var data0 = dataImg0.getDataCopy(); + var data1 = dataImg1.getData(); + + // scale the spectral info + for(var p=0; p 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p 1) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = binaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value));\n nstack.push(item);\n } else if (type === IOP3 && nstack.length > 2) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(n1.value ? n2.value : n3.value);\n } else {\n f = ternaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value));\n nstack.push(item);\n }\n } else if (type === IOP1 && nstack.length > 0) {\n n1 = nstack.pop();\n f = unaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value));\n nstack.push(item);\n } else if (type === IEXPR) {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values)));\n } else if (type === IMEMBER && nstack.length > 0) {\n n1 = nstack.pop();\n nstack.push(new Instruction(INUMBER, n1.value[item.value]));\n } else {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(item);\n }\n }\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n return newexpression;\n}\n\nExpression.prototype.simplify = function (values) {\n values = values || {};\n return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser);\n};\n\nfunction substitute(tokens, variable, expr) {\n var newexpression = [];\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === IVAR && item.value === variable) {\n for (var j = 0; j < expr.tokens.length; j++) {\n var expritem = expr.tokens[j];\n var replitem;\n if (expritem.type === IOP1) {\n replitem = unaryInstruction(expritem.value);\n } else if (expritem.type === IOP2) {\n replitem = binaryInstruction(expritem.value);\n } else if (expritem.type === IOP3) {\n replitem = ternaryInstruction(expritem.value);\n } else {\n replitem = new Instruction(expritem.type, expritem.value);\n }\n newexpression.push(replitem);\n }\n } else if (type === IEXPR) {\n newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr)));\n } else {\n newexpression.push(item);\n }\n }\n return newexpression;\n}\n\nExpression.prototype.substitute = function (variable, expr) {\n if (!(expr instanceof Expression)) {\n expr = this.parser.parse(String(expr));\n }\n\n return new Expression(substitute(this.tokens, variable, expr), this.parser);\n};\n\nfunction evaluate(tokens, expr, values) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n nstack.push(item.value);\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = expr.binaryOps[item.value];\n nstack.push(f(n1, n2));\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(evaluate(n1 ? n2 : n3, expr, values));\n } else {\n f = expr.ternaryOps[item.value];\n nstack.push(f(n1, n2, n3));\n }\n } else if (type === IVAR) {\n if (item.value in expr.functions) {\n nstack.push(expr.functions[item.value]);\n } else {\n var v = values[item.value];\n if (v !== undefined) {\n nstack.push(v);\n } else {\n throw new Error('undefined variable: ' + item.value);\n }\n }\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = expr.unaryOps[item.value];\n nstack.push(f(n1));\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n if (f.apply && f.call) {\n nstack.push(f.apply(undefined, args));\n } else {\n throw new Error(f + ' is not a function');\n }\n } else if (type === IEXPR) {\n nstack.push(item.value);\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1[item.value]);\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.evaluate = function (values) {\n values = values || {};\n return evaluate(this.tokens, this, values);\n};\n\nfunction expressionToString(tokens, toJS) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n if (typeof item.value === 'number' && item.value < 0) {\n nstack.push('(' + item.value + ')');\n } else {\n nstack.push(escapeValue(item.value));\n }\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (toJS) {\n if (f === '^') {\n nstack.push('Math.pow(' + n1 + ', ' + n2 + ')');\n } else if (f === 'and') {\n nstack.push('(!!' + n1 + ' && !!' + n2 + ')');\n } else if (f === 'or') {\n nstack.push('(!!' + n1 + ' || !!' + n2 + ')');\n } else if (f === '||') {\n nstack.push('(String(' + n1 + ') + String(' + n2 + '))');\n } else if (f === '==') {\n nstack.push('(' + n1 + ' === ' + n2 + ')');\n } else if (f === '!=') {\n nstack.push('(' + n1 + ' !== ' + n2 + ')');\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (f === '?') {\n nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');\n } else {\n throw new Error('invalid Expression');\n }\n } else if (type === IVAR) {\n nstack.push(item.value);\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = item.value;\n if (f === '-' || f === '+') {\n nstack.push('(' + f + n1 + ')');\n } else if (toJS) {\n if (f === 'not') {\n nstack.push('(' + '!' + n1 + ')');\n } else if (f === '!') {\n nstack.push('fac(' + n1 + ')');\n } else {\n nstack.push(f + '(' + n1 + ')');\n }\n } else if (f === '!') {\n nstack.push('(' + n1 + '!)');\n } else {\n nstack.push('(' + f + ' ' + n1 + ')');\n }\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n nstack.push(f + '(' + args.join(', ') + ')');\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1 + '.' + item.value);\n } else if (type === IEXPR) {\n nstack.push('(' + expressionToString(item.value, toJS) + ')');\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.toString = function () {\n return expressionToString(this.tokens, false);\n};\n\nfunction getSymbols(tokens, symbols) {\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) {\n symbols.push(item.value);\n } else if (item.type === IEXPR) {\n getSymbols(item.value, symbols);\n }\n }\n}\n\nExpression.prototype.symbols = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n return vars;\n};\n\nExpression.prototype.variables = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n var functions = this.functions;\n return vars.filter(function (name) {\n return !(name in functions);\n });\n};\n\nExpression.prototype.toJSFunction = function (param, variables) {\n var expr = this;\n var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func\n return function () {\n return f.apply(expr, arguments);\n };\n};\n\nfunction add(a, b) {\n return Number(a) + Number(b);\n}\nfunction sub(a, b) {\n return a - b;\n}\nfunction mul(a, b) {\n return a * b;\n}\nfunction div(a, b) {\n return a / b;\n}\nfunction mod(a, b) {\n return a % b;\n}\nfunction concat(a, b) {\n return '' + a + b;\n}\nfunction equal(a, b) {\n return a === b;\n}\nfunction notEqual(a, b) {\n return a !== b;\n}\nfunction greaterThan(a, b) {\n return a > b;\n}\nfunction lessThan(a, b) {\n return a < b;\n}\nfunction greaterThanEqual(a, b) {\n return a >= b;\n}\nfunction lessThanEqual(a, b) {\n return a <= b;\n}\nfunction andOperator(a, b) {\n return Boolean(a && b);\n}\nfunction orOperator(a, b) {\n return Boolean(a || b);\n}\nfunction sinh(a) {\n return ((Math.exp(a) - Math.exp(-a)) / 2);\n}\nfunction cosh(a) {\n return ((Math.exp(a) + Math.exp(-a)) / 2);\n}\nfunction tanh(a) {\n if (a === Infinity) return 1;\n if (a === -Infinity) return -1;\n return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a));\n}\nfunction asinh(a) {\n if (a === -Infinity) return a;\n return Math.log(a + Math.sqrt(a * a + 1));\n}\nfunction acosh(a) {\n return Math.log(a + Math.sqrt(a * a - 1));\n}\nfunction atanh(a) {\n return (Math.log((1 + a) / (1 - a)) / 2);\n}\nfunction log10(a) {\n return Math.log(a) * Math.LOG10E;\n}\nfunction neg(a) {\n return -a;\n}\nfunction not(a) {\n return !a;\n}\nfunction trunc(a) {\n return a < 0 ? Math.ceil(a) : Math.floor(a);\n}\nfunction random(a) {\n return Math.random() * (a || 1);\n}\nfunction factorial(a) { // a!\n return gamma(a + 1);\n}\nfunction stringLength(s) {\n return String(s).length;\n}\n\nfunction hypot() {\n var sum = 0;\n var larg = 0;\n for (var i = 0, L = arguments.length; i < L; i++) {\n var arg = Math.abs(arguments[i]);\n var div;\n if (larg < arg) {\n div = larg / arg;\n sum = sum * div * div + 1;\n larg = arg;\n } else if (arg > 0) {\n div = arg / larg;\n sum += div * div;\n } else {\n sum += arg;\n }\n }\n return larg === Infinity ? Infinity : larg * Math.sqrt(sum);\n}\n\nfunction condition(cond, yep, nope) {\n return cond ? yep : nope;\n}\n\nfunction isInteger(value) {\n return isFinite(value) && (value === Math.round(value));\n}\n\nvar GAMMA_G = 4.7421875;\nvar GAMMA_P = [\n 0.99999999999999709182,\n 57.156235665862923517, -59.597960355475491248,\n 14.136097974741747174, -0.49191381609762019978,\n 0.33994649984811888699e-4,\n 0.46523628927048575665e-4, -0.98374475304879564677e-4,\n 0.15808870322491248884e-3, -0.21026444172410488319e-3,\n 0.21743961811521264320e-3, -0.16431810653676389022e-3,\n 0.84418223983852743293e-4, -0.26190838401581408670e-4,\n 0.36899182659531622704e-5\n];\n\n// Gamma function from math.js\nfunction gamma(n) {\n var t, x;\n\n if (isInteger(n)) {\n if (n <= 0) {\n return isFinite(n) ? Infinity : NaN;\n }\n\n if (n > 171) {\n return Infinity; // Will overflow\n }\n\n var value = n - 2;\n var res = n - 1;\n while (value > 1) {\n res *= value;\n value--;\n }\n\n if (res === 0) {\n res = 1; // 0! is per definition 1\n }\n\n return res;\n }\n\n if (n < 0.5) {\n return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));\n }\n\n if (n >= 171.35) {\n return Infinity; // will overflow\n }\n\n if (n > 85.0) { // Extended Stirling Approx\n var twoN = n * n;\n var threeN = twoN * n;\n var fourN = threeN * n;\n var fiveN = fourN * n;\n return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) *\n (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) -\n 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) +\n 5246819 / (75246796800 * fiveN * n));\n }\n\n --n;\n x = GAMMA_P[0];\n for (var i = 1; i < GAMMA_P.length; ++i) {\n x += GAMMA_P[i] / (n + i);\n }\n\n t = n + GAMMA_G + 0.5;\n return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;\n}\n\nvar TEOF = 'TEOF';\nvar TOP = 'TOP';\nvar TNUMBER = 'TNUMBER';\nvar TSTRING = 'TSTRING';\nvar TPAREN = 'TPAREN';\nvar TCOMMA = 'TCOMMA';\nvar TNAME = 'TNAME';\n\nfunction Token(type, value, line, column) {\n this.type = type;\n this.value = value;\n this.line = line;\n this.column = column;\n}\n\nToken.prototype.toString = function () {\n return this.type + ': ' + this.value;\n};\n\nfunction TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) {\n this.pos = 0;\n this.line = 0;\n this.column = 0;\n this.current = null;\n this.unaryOps = unaryOps;\n this.binaryOps = binaryOps;\n this.ternaryOps = ternaryOps;\n this.consts = consts;\n this.expression = expression;\n this.savedPosition = 0;\n this.savedCurrent = null;\n this.savedLine = 0;\n this.savedColumn = 0;\n}\n\nTokenStream.prototype.newToken = function (type, value, line, column) {\n return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column);\n};\n\nTokenStream.prototype.save = function () {\n this.savedPosition = this.pos;\n this.savedCurrent = this.current;\n this.savedLine = this.line;\n this.savedColumn = this.column;\n};\n\nTokenStream.prototype.restore = function () {\n this.pos = this.savedPosition;\n this.current = this.savedCurrent;\n this.line = this.savedLine;\n this.column = this.savedColumn;\n};\n\nTokenStream.prototype.next = function () {\n if (this.pos >= this.expression.length) {\n return this.newToken(TEOF, 'EOF');\n }\n\n if (this.isWhitespace() || this.isComment()) {\n return this.next();\n } else if (this.isNumber() ||\n this.isOperator() ||\n this.isString() ||\n this.isParen() ||\n this.isComma() ||\n this.isNamedOp() ||\n this.isConst() ||\n this.isName()) {\n return this.current;\n } else {\n this.parseError('Unknown character \"' + this.expression.charAt(this.pos) + '\"');\n }\n};\n\nTokenStream.prototype.isString = function () {\n var r = false;\n var startLine = this.line;\n var startColumn = this.column;\n var startPos = this.pos;\n var quote = this.expression.charAt(startPos);\n\n if (quote === '\\'' || quote === '\"') {\n this.pos++;\n this.column++;\n var index = this.expression.indexOf(quote, startPos + 1);\n while (index >= 0 && this.pos < this.expression.length) {\n this.pos = index + 1;\n if (this.expression.charAt(index - 1) !== '\\\\') {\n var rawString = this.expression.substring(startPos + 1, index);\n this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn);\n var newLine = rawString.indexOf('\\n');\n var lastNewline = -1;\n while (newLine >= 0) {\n this.line++;\n this.column = 0;\n lastNewline = newLine;\n newLine = rawString.indexOf('\\n', newLine + 1);\n }\n this.column += rawString.length - lastNewline;\n r = true;\n break;\n }\n index = this.expression.indexOf(quote, index + 1);\n }\n }\n return r;\n};\n\nTokenStream.prototype.isParen = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '(' || char === ')') {\n this.current = this.newToken(TPAREN, char);\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isComma = function () {\n var char = this.expression.charAt(this.pos);\n if (char === ',') {\n this.current = this.newToken(TCOMMA, ',');\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isConst = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.consts) {\n this.current = this.newToken(TNUMBER, this.consts[str]);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isNamedOp = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) {\n this.current = this.newToken(TOP, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isName = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n this.current = this.newToken(TNAME, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isWhitespace = function () {\n var r = false;\n var char = this.expression.charAt(this.pos);\n while (char === ' ' || char === '\\t' || char === '\\n' || char === '\\r') {\n r = true;\n this.pos++;\n this.column++;\n if (char === '\\n') {\n this.line++;\n this.column = 0;\n }\n if (this.pos >= this.expression.length) {\n break;\n }\n char = this.expression.charAt(this.pos);\n }\n return r;\n};\n\nvar codePointPattern = /^[0-9a-f]{4}$/i;\n\nTokenStream.prototype.unescape = function (v) {\n var index = v.indexOf('\\\\');\n if (index < 0) {\n return v;\n }\n\n var buffer = v.substring(0, index);\n while (index >= 0) {\n var c = v.charAt(++index);\n switch (c) {\n case '\\'':\n buffer += '\\'';\n break;\n case '\"':\n buffer += '\"';\n break;\n case '\\\\':\n buffer += '\\\\';\n break;\n case '/':\n buffer += '/';\n break;\n case 'b':\n buffer += '\\b';\n break;\n case 'f':\n buffer += '\\f';\n break;\n case 'n':\n buffer += '\\n';\n break;\n case 'r':\n buffer += '\\r';\n break;\n case 't':\n buffer += '\\t';\n break;\n case 'u':\n // interpret the following 4 characters as the hex of the unicode code point\n var codePoint = v.substring(index + 1, index + 5);\n if (!codePointPattern.test(codePoint)) {\n this.parseError('Illegal escape sequence: \\\\u' + codePoint);\n }\n buffer += String.fromCharCode(parseInt(codePoint, 16));\n index += 4;\n break;\n default:\n throw this.parseError('Illegal escape sequence: \"\\\\' + c + '\"');\n }\n ++index;\n var backslash = v.indexOf('\\\\', index);\n buffer += v.substring(index, backslash < 0 ? v.length : backslash);\n index = backslash;\n }\n\n return buffer;\n};\n\nTokenStream.prototype.isComment = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '/' && this.expression.charAt(this.pos + 1) === '*') {\n var startPos = this.pos;\n this.pos = this.expression.indexOf('*/', this.pos) + 2;\n if (this.pos === 1) {\n this.pos = this.expression.length;\n }\n var comment = this.expression.substring(startPos, this.pos);\n var newline = comment.indexOf('\\n');\n while (newline >= 0) {\n this.line++;\n this.column = comment.length - newline;\n newline = comment.indexOf('\\n', newline + 1);\n }\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isNumber = function () {\n var valid = false;\n var pos = this.pos;\n var startPos = pos;\n var resetPos = pos;\n var column = this.column;\n var resetColumn = column;\n var foundDot = false;\n var foundDigits = false;\n var char;\n\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) {\n if (char === '.') {\n foundDot = true;\n } else {\n foundDigits = true;\n }\n pos++;\n column++;\n valid = foundDigits;\n } else {\n break;\n }\n }\n\n if (valid) {\n resetPos = pos;\n resetColumn = column;\n }\n\n if (char === 'e' || char === 'E') {\n pos++;\n column++;\n var acceptSign = true;\n var validExponent = false;\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if (acceptSign && (char === '+' || char === '-')) {\n acceptSign = false;\n } else if (char >= '0' && char <= '9') {\n validExponent = true;\n acceptSign = false;\n } else {\n break;\n }\n pos++;\n column++;\n }\n\n if (!validExponent) {\n pos = resetPos;\n column = resetColumn;\n }\n }\n\n if (valid) {\n this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos)));\n this.pos = pos;\n this.column = column;\n } else {\n this.pos = resetPos;\n this.column = resetColumn;\n }\n return valid;\n};\n\nTokenStream.prototype.isOperator = function () {\n var char = this.expression.charAt(this.pos);\n\n if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') {\n this.current = this.newToken(TOP, char);\n } else if (char === '∙' || char === '•') {\n this.current = this.newToken(TOP, '*');\n } else if (char === '>') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '>=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '>');\n }\n } else if (char === '<') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '<=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '<');\n }\n } else if (char === '|') {\n if (this.expression.charAt(this.pos + 1) === '|') {\n this.current = this.newToken(TOP, '||');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '=') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '==');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '!') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '!=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, char);\n }\n } else {\n return false;\n }\n this.pos++;\n this.column++;\n return true;\n};\n\nTokenStream.prototype.parseError = function (msg) {\n throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg);\n};\n\nvar unaryInstructionCache = {};\nfunction unaryInstruction(value) {\n var inst = unaryInstructionCache[value];\n if (!inst) {\n inst = unaryInstructionCache[value] = new Instruction(IOP1, value);\n }\n return inst;\n}\n\nvar binaryInstructionCache = {};\nfunction binaryInstruction(value) {\n var inst = binaryInstructionCache[value];\n if (!inst) {\n inst = binaryInstructionCache[value] = new Instruction(IOP2, value);\n }\n return inst;\n}\n\nvar ternaryInstructionCache = {};\nfunction ternaryInstruction(value) {\n var inst = ternaryInstructionCache[value];\n if (!inst) {\n inst = ternaryInstructionCache[value] = new Instruction(IOP3, value);\n }\n return inst;\n}\n\nfunction ParserState(parser, tokenStream) {\n this.parser = parser;\n this.tokens = tokenStream;\n this.current = null;\n this.nextToken = null;\n this.next();\n this.savedCurrent = null;\n this.savedNextToken = null;\n}\n\nParserState.prototype.next = function () {\n this.current = this.nextToken;\n return (this.nextToken = this.tokens.next());\n};\n\nParserState.prototype.tokenMatches = function (token, value) {\n if (typeof value === 'undefined') {\n return true;\n } else if (Array.isArray(value)) {\n return indexOf(value, token.value) >= 0;\n } else if (typeof value === 'function') {\n return value(token);\n } else {\n return token.value === value;\n }\n};\n\nParserState.prototype.save = function () {\n this.savedCurrent = this.current;\n this.savedNextToken = this.nextToken;\n this.tokens.save();\n};\n\nParserState.prototype.restore = function () {\n this.tokens.restore();\n this.current = this.savedCurrent;\n this.nextToken = this.savedNextToken;\n};\n\nParserState.prototype.accept = function (type, value) {\n if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) {\n this.next();\n return true;\n }\n return false;\n};\n\nParserState.prototype.expect = function (type, value) {\n if (!this.accept(type, value)) {\n throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type));\n }\n};\n\nParserState.prototype.parseAtom = function (instr) {\n if (this.accept(TNAME)) {\n instr.push(new Instruction(IVAR, this.current.value));\n } else if (this.accept(TNUMBER)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TSTRING)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TPAREN, '(')) {\n this.parseExpression(instr);\n this.expect(TPAREN, ')');\n } else {\n throw new Error('unexpected ' + this.nextToken);\n }\n};\n\nParserState.prototype.parseExpression = function (instr) {\n this.parseConditionalExpression(instr);\n};\n\nParserState.prototype.parseConditionalExpression = function (instr) {\n this.parseOrExpression(instr);\n while (this.accept(TOP, '?')) {\n var trueBranch = [];\n var falseBranch = [];\n this.parseConditionalExpression(trueBranch);\n this.expect(TOP, ':');\n this.parseConditionalExpression(falseBranch);\n instr.push(new Instruction(IEXPR, trueBranch));\n instr.push(new Instruction(IEXPR, falseBranch));\n instr.push(ternaryInstruction('?'));\n }\n};\n\nParserState.prototype.parseOrExpression = function (instr) {\n this.parseAndExpression(instr);\n while (this.accept(TOP, 'or')) {\n this.parseAndExpression(instr);\n instr.push(binaryInstruction('or'));\n }\n};\n\nParserState.prototype.parseAndExpression = function (instr) {\n this.parseComparison(instr);\n while (this.accept(TOP, 'and')) {\n this.parseComparison(instr);\n instr.push(binaryInstruction('and'));\n }\n};\n\nParserState.prototype.parseComparison = function (instr) {\n this.parseAddSub(instr);\n while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) {\n var op = this.current;\n this.parseAddSub(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseAddSub = function (instr) {\n this.parseTerm(instr);\n while (this.accept(TOP, ['+', '-', '||'])) {\n var op = this.current;\n this.parseTerm(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseTerm = function (instr) {\n this.parseFactor(instr);\n while (this.accept(TOP, ['*', '/', '%'])) {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseFactor = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n this.save();\n if (this.accept(TOP, isPrefixOperator)) {\n if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) {\n this.restore();\n this.parseExponential(instr);\n } else {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(unaryInstruction(op.value));\n }\n } else {\n this.parseExponential(instr);\n }\n};\n\nParserState.prototype.parseExponential = function (instr) {\n this.parsePostfixExpression(instr);\n while (this.accept(TOP, '^')) {\n this.parseFactor(instr);\n instr.push(binaryInstruction('^'));\n }\n};\n\nParserState.prototype.parsePostfixExpression = function (instr) {\n this.parseFunctionCall(instr);\n while (this.accept(TOP, '!')) {\n instr.push(unaryInstruction('!'));\n }\n};\n\nParserState.prototype.parseFunctionCall = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n if (this.accept(TOP, isPrefixOperator)) {\n var op = this.current;\n this.parseAtom(instr);\n instr.push(unaryInstruction(op.value));\n } else {\n this.parseMemberExpression(instr);\n while (this.accept(TPAREN, '(')) {\n if (this.accept(TPAREN, ')')) {\n instr.push(new Instruction(IFUNCALL, 0));\n } else {\n var argCount = this.parseArgumentList(instr);\n instr.push(new Instruction(IFUNCALL, argCount));\n }\n }\n }\n};\n\nParserState.prototype.parseArgumentList = function (instr) {\n var argCount = 0;\n\n while (!this.accept(TPAREN, ')')) {\n this.parseExpression(instr);\n ++argCount;\n while (this.accept(TCOMMA)) {\n this.parseExpression(instr);\n ++argCount;\n }\n }\n\n return argCount;\n};\n\nParserState.prototype.parseMemberExpression = function (instr) {\n this.parseAtom(instr);\n while (this.accept(TOP, '.')) {\n this.expect(TNAME);\n instr.push(new Instruction(IMEMBER, this.current.value));\n }\n};\n\nfunction Parser() {\n this.unaryOps = {\n sin: Math.sin,\n cos: Math.cos,\n tan: Math.tan,\n asin: Math.asin,\n acos: Math.acos,\n atan: Math.atan,\n sinh: Math.sinh || sinh,\n cosh: Math.cosh || cosh,\n tanh: Math.tanh || tanh,\n asinh: Math.asinh || asinh,\n acosh: Math.acosh || acosh,\n atanh: Math.atanh || atanh,\n sqrt: Math.sqrt,\n log: Math.log,\n ln: Math.log,\n lg: Math.log10 || log10,\n log10: Math.log10 || log10,\n abs: Math.abs,\n ceil: Math.ceil,\n floor: Math.floor,\n round: Math.round,\n trunc: Math.trunc || trunc,\n '-': neg,\n '+': Number,\n exp: Math.exp,\n not: not,\n length: stringLength,\n '!': factorial\n };\n\n this.binaryOps = {\n '+': add,\n '-': sub,\n '*': mul,\n '/': div,\n '%': mod,\n '^': Math.pow,\n '||': concat,\n '==': equal,\n '!=': notEqual,\n '>': greaterThan,\n '<': lessThan,\n '>=': greaterThanEqual,\n '<=': lessThanEqual,\n and: andOperator,\n or: orOperator\n };\n\n this.ternaryOps = {\n '?': condition\n };\n\n this.functions = {\n random: random,\n fac: factorial,\n min: Math.min,\n max: Math.max,\n hypot: Math.hypot || hypot,\n pyt: Math.hypot || hypot, // backward compat\n pow: Math.pow,\n atan2: Math.atan2,\n 'if': condition,\n gamma: gamma\n };\n\n this.consts = {\n E: Math.E,\n PI: Math.PI,\n 'true': true,\n 'false': false\n };\n}\n\nParser.parse = function (expr) {\n return new Parser().parse(expr);\n};\n\nParser.evaluate = function (expr, variables) {\n return Parser.parse(expr).evaluate(variables);\n};\n\nParser.prototype = {\n parse: function (expr) {\n var instr = [];\n var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts));\n parserState.parseExpression(instr);\n parserState.expect(TEOF, 'EOF');\n\n return new Expression(instr, this);\n },\n\n evaluate: function (expr, variables) {\n return this.parse(expr).evaluate(variables);\n }\n};\n\nvar parser = {\n Parser: Parser,\n Expression: Expression\n};\n\nreturn parser;\n\n})));\n","//import mathjs from 'mathjs';\n\nimport Parser from 'expr-eval'\n//var Parser = require('expr-eval').Parser;\n\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\nclass ImageBlendExpressionFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n\n\n var parser = new Parser.Parser();\n var expr = parser.parse('2 * x + 1');\n console.log(expr.evaluate({ x: 3 })); // 7\n\n // or\n //Parser.evaluate('6 * x', { x: 7 }) // 42\n\n }\n\n\n\n} /* END of class ImageBlendExpressionFilter */\n\n\nexport { ImageBlendExpressionFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Image2D } from '../core/Image2D.js';\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\n/**\n* Multiply an image by the other, like a scaling function.\n* The image requires two inputs named \"0\" and \"1\".\n* Simply use `addInput( myImg1, \"0\" )`\n* and `addInput( myImg2, \"1\" )`. The input \"0\" can have 1 or more bands while\n* the input \"1\" can have only one band since the same scale is apply to each band.\n*\n* usage: examples/forEachPixelGadient.html\n*/\nclass SpectralScaleImageFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n\n // both input are images.\n this._inputValidator[ 0 ] = Image2D.TYPE();\n this._inputValidator[ 1 ] = Image2D.TYPE();\n }\n\n\n /**\n * Run the filter\n */\n update(){\n // filter must have valid input of the same size\n if( !this.hasSameSizeInput() || !this.hasValidInput()){\n return;\n }\n\n var dataImg0 = this._getInput(0);\n var dataImg1 = this._getInput(1);\n\n // the input \"1\" (aka. the scaling data) must be single band\n if( dataImg1.getComponentsPerPixel() != 1 ){\n console.warn(\"The scaling image must have one single band.\");\n return;\n }\n\n var nbOfPixels = dataImg0.getWidth() * dataImg0.getHeight();\n var ncpp = dataImg0.getComponentsPerPixel();\n\n var data0 = dataImg0.getDataCopy();\n var data1 = dataImg1.getData();\n\n // scale the spectral info\n for(var p=0; p + + FroEqch pixel, gradient + + + + + + + + +

Pixpipejs

+

+ This does the following : +

    +
  • opening a distant image file with AJAX request, using pixpipe.UrlImageReader
    • +
  • creating a pixpipe.Image2D with the same size as the first, but monoband.
    • +
  • run a pixpipe.ForEachPixelImageFilter ont the monoband image to create a radial gradient (values in [0, 1])
    • +
  • multiply the loaded image with the gradient image using a pixpipe.SpectralScaleImageFilter
    • +
  • displaying the final output in a canvas using pixpipe.CanvasImageWriter
    • +
+ +

+ +

+

The original image:

+ +

+ +

+

The transformed image, with a radial gradient:

+
+

+ + + + + diff --git a/package.json b/package.json index 433f81d..1bddef0 100644 --- a/package.json +++ b/package.json @@ -29,7 +29,7 @@ }, "homepage": "https://github.com/jonathanlurie/pixpipejs#readme", "dependencies": { - "mathjs": "^3.10.0" + "expr-eval": "^1.0.0" }, "devDependencies": { "gulp": "^3.9.1", diff --git a/rollup.config.js b/rollup.config.js index b8d67a6..c265c0d 100644 --- a/rollup.config.js +++ b/rollup.config.js @@ -11,8 +11,6 @@ export default { dest: config.moduleBuildDir + '/' + config.moduleName + '.js', plugins: [ nodeResolve(), - commonjs({ - sourceMap: false - }) + commonjs() ] }; diff --git a/src/core/Filter.js b/src/core/Filter.js index 719d1f6..af23bb0 100644 --- a/src/core/Filter.js +++ b/src/core/Filter.js @@ -119,7 +119,6 @@ class Filter extends PixpipeObject { hasValidInput(){ var that = this; var inputCategories = Object.keys( this._inputValidator ); - var valid = true; inputCategories.forEach( function(key){ @@ -134,6 +133,39 @@ class Filter extends PixpipeObject { } + /** + * Check if all input image have the same size. + * @return {Boolean} true is same size, false if not. + */ + hasSameSizeInput(){ + var that = this; + var inputCategories = Object.keys( this._inputValidator ); + var sameSize = true; + + var widths = []; + var heights = []; + + inputCategories.forEach( function(key){ + widths.push( that._getInput( key ).getWidth() ); + heights.push( that._getInput( key ).getHeight() ); + }); + + // if all input have the same size + if(widths.length){ + widths.sort(); + heights.sort(); + sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) && + (heights[ 0 ] == heights[ heights.length -1 ] ); + + if( !sameSize ){ + console.warn("Input image do not all have the same size. Filter not valid"); + } + } + + return sameSize; + } + + /** * MUST be implemented by the class that inherit this. * Launch the process. diff --git a/src/core/Image2D.js b/src/core/Image2D.js index e3dc506..b4deaa2 100644 --- a/src/core/Image2D.js +++ b/src/core/Image2D.js @@ -84,14 +84,18 @@ class Image2D extends PixpipeObject{ * @param {Float32Array} array - 1D array of raw data stored as RGBARGBA... * @param {Number} width - width of the Image2D * @param {Number} height - height of the Image2D + * @param {Number} ncpp - number of components per pixel (default: 4) +} */ - setData( array, width, height ){ + setData( array, width, height, ncpp=4 ){ // do not alloz to set a new internal array if( this._data ){ console.warn("Data can be set to an Image2D object only once. Cannot init the Image2D."); return; } + this._componentsPerPixel = ncpp; + if( array.length != width*height*this._componentsPerPixel){ console.warn("The array size does not match the width and height. Cannot init the Image2D."); return; diff --git a/src/filter/ForEachPixelImageFilter.js b/src/filter/ForEachPixelImageFilter.js index 54edfd7..263a8ab 100644 --- a/src/filter/ForEachPixelImageFilter.js +++ b/src/filter/ForEachPixelImageFilter.js @@ -60,7 +60,7 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { // building the output var img2D = new Image2D(); - img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight()); + img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight(), inputImage2D.getComponentsPerPixel()); this._setOutput( img2D ); } diff --git a/src/filter/ImageBlendExpressionFilter.js b/src/filter/ImageBlendExpressionFilter.js index 9ff71f3..9582dc6 100644 --- a/src/filter/ImageBlendExpressionFilter.js +++ b/src/filter/ImageBlendExpressionFilter.js @@ -1,26 +1,23 @@ //import mathjs from 'mathjs'; +import Parser from 'expr-eval' +//var Parser = require('expr-eval').Parser; + import { ImageToImageFilter } from '../core/ImageToImageFilter.js'; class ImageBlendExpressionFilter extends ImageToImageFilter { constructor(){ super(); - - /* - // provide a scope - console.log('\nprovide a scope'); - var node2 = mathjs.parse('x^a'); - var code2 = node2.compile(); - console.log(node2.toString()); // "x ^ a" - var scope = { - x: 3, - a: 2 - }; - console.log(code2.eval(scope)); - - console.log(mathjs); - */ + + + var parser = new Parser.Parser(); + var expr = parser.parse('2 * x + 1'); + console.log(expr.evaluate({ x: 3 })); // 7 + + // or + //Parser.evaluate('6 * x', { x: 7 }) // 42 + } diff --git a/src/filter/MultiplyImageFilter.js b/src/filter/MultiplyImageFilter.js deleted file mode 100644 index 010e132..0000000 --- a/src/filter/MultiplyImageFilter.js +++ /dev/null @@ -1,27 +0,0 @@ -/* -* Author Jonathan Lurie - http://me.jonahanlurie.fr -* License MIT -* Link https://github.com/jonathanlurie/pixpipejs -* Lab MCIN - Montreal Neurological Institute -*/ - -import { ImageToImageFilter } from '../core/ImageToImageFilter.js'; - -class MultiplyImageFilter extends { - - construtor(){ - super(); - - // both input are images. - this._inputValidator[ 0 ] = Image2D.TYPE(); - this._inputValidator[ 1 ] = Image2D.TYPE(); - } - - hasSameSize(){ - - } - - -} /* END class MultiplyImageFilter */ - -export { MultiplyImageFilter } diff --git a/src/filter/SpectralScaleImageFilter.js b/src/filter/SpectralScaleImageFilter.js new file mode 100644 index 0000000..2e7c95e --- /dev/null +++ b/src/filter/SpectralScaleImageFilter.js @@ -0,0 +1,72 @@ +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + +import { Image2D } from '../core/Image2D.js'; +import { ImageToImageFilter } from '../core/ImageToImageFilter.js'; + +/** +* Multiply an image by the other, like a scaling function. +* The image requires two inputs named "0" and "1". +* Simply use `addInput( myImg1, "0" )` +* and `addInput( myImg2, "1" )`. The input "0" can have 1 or more bands while +* the input "1" can have only one band since the same scale is apply to each band. +* +* usage: examples/forEachPixelGadient.html +*/ +class SpectralScaleImageFilter extends ImageToImageFilter { + + constructor(){ + super(); + + // both input are images. + this._inputValidator[ 0 ] = Image2D.TYPE(); + this._inputValidator[ 1 ] = Image2D.TYPE(); + } + + + /** + * Run the filter + */ + update(){ + // filter must have valid input of the same size + if( !this.hasSameSizeInput() || !this.hasValidInput()){ + return; + } + + var dataImg0 = this._getInput(0); + var dataImg1 = this._getInput(1); + + // the input "1" (aka. the scaling data) must be single band + if( dataImg1.getComponentsPerPixel() != 1 ){ + console.warn("The scaling image must have one single band."); + return; + } + + var nbOfPixels = dataImg0.getWidth() * dataImg0.getHeight(); + var ncpp = dataImg0.getComponentsPerPixel(); + + var data0 = dataImg0.getDataCopy(); + var data1 = dataImg1.getData(); + + // scale the spectral info + for(var p=0; p Date: Tue, 14 Mar 2017 17:14:21 -0400 Subject: [PATCH 5/9] Started to work on the Pipeline object --- dist/pixpipe.js | 1527 +++---------------------- dist/pixpipe.js.map | 2 +- src/core/Filter.js | 84 +- src/core/Image2D.js | 30 +- src/core/Pipeline.js | 72 ++ src/filter/ForEachPixelImageFilter.js | 21 + src/pixpipe.js | 5 +- 7 files changed, 346 insertions(+), 1395 deletions(-) create mode 100644 src/core/Pipeline.js diff --git a/dist/pixpipe.js b/dist/pixpipe.js index ba42583..3c37df6 100644 --- a/dist/pixpipe.js +++ b/dist/pixpipe.js @@ -108,6 +108,13 @@ class PixpipeObject { * Lab MCIN - Montreal Neurological Institute */ +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + /** * Filter is a base class and must be inherited to be used properly. * A filter takes one or more Image instances as input and returns one or more @@ -116,11 +123,11 @@ class PixpipeObject { * Every input and output can be arranged by category, so that internaly, a filter * can use and output diferent kind of data. */ -class Filter extends PixpipeObject { +class Filter$1 extends PixpipeObject { constructor(){ super(); - this._type = Filter.TYPE(); + this._type = Filter$1.TYPE(); // a bunch of event to be defined. Empty by default. this._events = {}; @@ -128,13 +135,15 @@ class Filter extends PixpipeObject { this._inputValidator = {}; this._input = { - "0": [] + //"0": [] }; this._output = { - "0" : [] + //"0" : [] }; + // pipeline associated with this filter. Not mandatory. + this._pipeline = null; } @@ -145,6 +154,7 @@ class Filter extends PixpipeObject { return "FILTER"; } + /** * Set an input, potentially associated to a category. * @param {Image2D} inputObject - most likely an instance of Image2D but can also be HTML5 File or Image3D @@ -163,6 +173,11 @@ class Filter extends PixpipeObject { } this._input[category] = inputObject ; + + // add the pipeline object if defined + if( this._pipeline ){ + inputObject.setPipeline( this._pipeline ); + } } @@ -197,6 +212,28 @@ class Filter extends PixpipeObject { } + /** + * Workaround to + */ + _setOutput2( dataType, category=0 ){ + var outputObject = null; + + console.log(this._output); + + // the category may not exist, we create it + if( !(category in this._output) ){ + var outputObject = new dataType(); + this._output[category] = outputObject; + console.log("hello"); + }else{ + outputObject = this._output[category]; + console.log("hello2"); + } + + return outputObject; + } + + /** * [PRIVATE] * should noly be used by the class that inherit Filter. @@ -284,6 +321,55 @@ class Filter extends PixpipeObject { } + /** + * Associate a Pipeline instance to this filter. Not supposed to be called manually + * because it is automatically called-back when adding a filter to a pipeline. + * @param {Pipeline} p - Pipeline object. + */ + setPipeline( p ){ + // only if not already set. + if(!this._pipeline){ + this._pipeline = p; + + // set the pipeline to all input so that they can update the entire + // pipeline in case of modification + var inputCategories = Object.keys( this._inputValidator ); + inputCategories.forEach( function(key){ + widths.push( that._getInput( key ).setPipeline( p ) ); + }); + + } + } + + + /** + * Update the whole pipeline due to an update in the filter + * (new input, new metadata) + */ + _updatePipeline(){ + if(this._pipeline){ + this._pipeline.update(); + } + } + + + /** + * @param {String} uuid - uuid to look for + * @return {Boolean} true if this filter uses an input with such uuid + */ + hasInputWithUuid( uuid ){ + var found = false; + + var inputCategories = Object.keys( this._inputValidator ); + inputCategories.forEach( function(key){ + found = found | that._getInput( key ).setPipeline( p ) ; + }); + + return found; + } + + + } /* END class Filter */ /* @@ -315,6 +401,9 @@ class Image2D extends PixpipeObject{ this._height = -1; this._componentsPerPixel = 4; // RGBA, by default + // pipeline associated with this image. Not mandatory. + this._pipeline = null; + // allocate the array if size is specified if(options && "width" in options && "height" in options){ @@ -338,12 +427,9 @@ class Image2D extends PixpipeObject{ this._data.fill(0); } - - } } - } @@ -374,11 +460,13 @@ class Image2D extends PixpipeObject{ } */ setData( array, width, height, ncpp=4 ){ - // do not alloz to set a new internal array + /* + // do not allow to set a new internal array if( this._data ){ console.warn("Data can be set to an Image2D object only once. Cannot init the Image2D."); return; } + */ this._componentsPerPixel = ncpp; @@ -390,7 +478,6 @@ class Image2D extends PixpipeObject{ this._data = new Float32Array( array ); this._width = width; this._height = height; - } @@ -501,6 +588,24 @@ class Image2D extends PixpipeObject{ return (position.x + position.y*this._width); } + + /** + * Associate a Pipeline instance to this image. Not supposed to be called manually + * because it is automatically called-back when adding a filter to a pipeline. + * @param {Pipeline} p - Pipeline object. + */ + setPipeline( p ){ + // only if not already set. + if(!this._pipeline){ + this._pipeline = p; + } + } + + // TODO: warn the pipeline if metadata changed or pixel value changed + // --> do NOT update the pipeline at every modif because if we change a lot + // of pixel values... (wait to call update() on the pipeline.) + + } /* END of class Image2D */ /* @@ -515,7 +620,7 @@ class Image2D extends PixpipeObject{ * filter that input a single Image2D and output a single Image2D. * This class does not overload the update() method. */ -class ImageToImageFilter extends Filter { +class ImageToImageFilter extends Filter$1 { constructor(){ super(); @@ -608,7 +713,7 @@ class PixelWiseImageFilter extends ImageToImageFilter{ * imageToCanvasFilter.addInput( myImage ); * imageToCanvasFilter.update(); */ -class CanvasImageWriter extends Filter{ +class CanvasImageWriter extends Filter$1{ /** * @param {String} parentDivID - dom id of the future canvas' parent. @@ -745,7 +850,7 @@ class CanvasImageWriter extends Filter{ * url2ImgFilter.addInput( "images/sd.jpg" ); * url2ImgFilter.update(); */ -class UrlImageReader extends Filter { +class UrlImageReader extends Filter$1 { /** * @param {function} callback - function to call when the image is loaded. @@ -820,7 +925,7 @@ class UrlImageReader extends Filter { * file2ImgFilter.addInput( fileInput.files[0] ); * file2ImgFilter.update(); */ -class FileImageReader extends Filter { +class FileImageReader extends Filter$1 { /** * @param {function} callback - function to call when the image is loaded. @@ -949,1382 +1054,34 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { this._forEachPixelOfSuch(firstPixel, lastPixel, increment ); + // TODO : find a way NOT to replace the ouput pointer so that the following + // filter can use the same object when refreshed by the pipeline + /* + // maybe using this kind of thing: + var anObjType = Image2D; + var im = new anObjType(); + console.log(im); + */ + + /* // building the output var img2D = new Image2D(); img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight(), inputImage2D.getComponentsPerPixel()); this._setOutput( img2D ); - } - -} /* END class ForEachPixelImageFilter */ - -/* -* Author Jonathan Lurie - http://me.jonahanlurie.fr -* License MIT -* Link https://github.com/jonathanlurie/pixpipejs -* Lab MCIN - Montreal Neurological Institute -*/ - -/** -* -*/ -class SpatialConvolutionFilter extends ImageToImageFilter { - - constructor(){ - - } -} - -var commonjsGlobal = typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : typeof self !== 'undefined' ? self : {}; - - - + */ + var outputImg = this._setOutput2( Image2D ); + console.log(outputImg); + outputImg.setData( + this._inputBuffer, + inputImage2D.getWidth(), + inputImage2D.getHeight(), + inputImage2D.getComponentsPerPixel() + ); -function createCommonjsModule(fn, module) { - return module = { exports: {} }, fn(module, module.exports), module.exports; -} - -var bundle = createCommonjsModule(function (module, exports) { -(function (global, factory) { - module.exports = factory(); -}(commonjsGlobal, (function () { 'use strict'; - -/*! - Based on ndef.parser, by Raphael Graf(r@undefined.ch) - http://www.undefined.ch/mparser/index.html - - Ported to JavaScript and modified by Matthew Crumley (email@matthewcrumley.com, http://silentmatt.com/) - - You are free to use and modify this code in anyway you find useful. Please leave this comment in the code - to acknowledge its original source. If you feel like it, I enjoy hearing about projects that use my code, - but don't feel like you have to let me know or ask permission. -*/ - -function indexOf(array, obj) { - for (var i = 0; i < array.length; i++) { - if (array[i] === obj) { - return i; - } - } - return -1; -} - -var INUMBER = 'INUMBER'; -var IOP1 = 'IOP1'; -var IOP2 = 'IOP2'; -var IOP3 = 'IOP3'; -var IVAR = 'IVAR'; -var IFUNCALL = 'IFUNCALL'; -var IEXPR = 'IEXPR'; -var IMEMBER = 'IMEMBER'; - -function Instruction(type, value) { - this.type = type; - this.value = (value !== undefined && value !== null) ? value : 0; -} - -Instruction.prototype.toString = function () { - switch (this.type) { - case INUMBER: - case IOP1: - case IOP2: - case IOP3: - case IVAR: - return this.value; - case IFUNCALL: - return 'CALL ' + this.value; - case IMEMBER: - return '.' + this.value; - default: - return 'Invalid Instruction'; - } -}; - -function Expression(tokens, parser) { - this.tokens = tokens; - this.parser = parser; - this.unaryOps = parser.unaryOps; - this.binaryOps = parser.binaryOps; - this.ternaryOps = parser.ternaryOps; - this.functions = parser.functions; -} - -function escapeValue(v) { - if (typeof v === 'string') { - return JSON.stringify(v).replace(/\u2028/g, '\\u2028').replace(/\u2029/g, '\\u2029'); - } - return v; -} - -function simplify(tokens, unaryOps, binaryOps, ternaryOps, values) { - var nstack = []; - var newexpression = []; - var n1, n2, n3; - var f; - for (var i = 0, L = tokens.length; i < L; i++) { - var item = tokens[i]; - var type = item.type; - if (type === INUMBER) { - nstack.push(item); - } else if (type === IVAR && values.hasOwnProperty(item.value)) { - item = new Instruction(INUMBER, values[item.value]); - nstack.push(item); - } else if (type === IOP2 && nstack.length > 1) { - n2 = nstack.pop(); - n1 = nstack.pop(); - f = binaryOps[item.value]; - item = new Instruction(INUMBER, f(n1.value, n2.value)); - nstack.push(item); - } else if (type === IOP3 && nstack.length > 2) { - n3 = nstack.pop(); - n2 = nstack.pop(); - n1 = nstack.pop(); - if (item.value === '?') { - nstack.push(n1.value ? n2.value : n3.value); - } else { - f = ternaryOps[item.value]; - item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value)); - nstack.push(item); - } - } else if (type === IOP1 && nstack.length > 0) { - n1 = nstack.pop(); - f = unaryOps[item.value]; - item = new Instruction(INUMBER, f(n1.value)); - nstack.push(item); - } else if (type === IEXPR) { - while (nstack.length > 0) { - newexpression.push(nstack.shift()); - } - newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values))); - } else if (type === IMEMBER && nstack.length > 0) { - n1 = nstack.pop(); - nstack.push(new Instruction(INUMBER, n1.value[item.value])); - } else { - while (nstack.length > 0) { - newexpression.push(nstack.shift()); - } - newexpression.push(item); - } - } - while (nstack.length > 0) { - newexpression.push(nstack.shift()); - } - return newexpression; -} - -Expression.prototype.simplify = function (values) { - values = values || {}; - return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser); -}; - -function substitute(tokens, variable, expr) { - var newexpression = []; - for (var i = 0, L = tokens.length; i < L; i++) { - var item = tokens[i]; - var type = item.type; - if (type === IVAR && item.value === variable) { - for (var j = 0; j < expr.tokens.length; j++) { - var expritem = expr.tokens[j]; - var replitem; - if (expritem.type === IOP1) { - replitem = unaryInstruction(expritem.value); - } else if (expritem.type === IOP2) { - replitem = binaryInstruction(expritem.value); - } else if (expritem.type === IOP3) { - replitem = ternaryInstruction(expritem.value); - } else { - replitem = new Instruction(expritem.type, expritem.value); - } - newexpression.push(replitem); - } - } else if (type === IEXPR) { - newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr))); - } else { - newexpression.push(item); - } - } - return newexpression; -} - -Expression.prototype.substitute = function (variable, expr) { - if (!(expr instanceof Expression)) { - expr = this.parser.parse(String(expr)); - } - - return new Expression(substitute(this.tokens, variable, expr), this.parser); -}; - -function evaluate(tokens, expr, values) { - var nstack = []; - var n1, n2, n3; - var f; - for (var i = 0, L = tokens.length; i < L; i++) { - var item = tokens[i]; - var type = item.type; - if (type === INUMBER) { - nstack.push(item.value); - } else if (type === IOP2) { - n2 = nstack.pop(); - n1 = nstack.pop(); - f = expr.binaryOps[item.value]; - nstack.push(f(n1, n2)); - } else if (type === IOP3) { - n3 = nstack.pop(); - n2 = nstack.pop(); - n1 = nstack.pop(); - if (item.value === '?') { - nstack.push(evaluate(n1 ? n2 : n3, expr, values)); - } else { - f = expr.ternaryOps[item.value]; - nstack.push(f(n1, n2, n3)); - } - } else if (type === IVAR) { - if (item.value in expr.functions) { - nstack.push(expr.functions[item.value]); - } else { - var v = values[item.value]; - if (v !== undefined) { - nstack.push(v); - } else { - throw new Error('undefined variable: ' + item.value); - } - } - } else if (type === IOP1) { - n1 = nstack.pop(); - f = expr.unaryOps[item.value]; - nstack.push(f(n1)); - } else if (type === IFUNCALL) { - var argCount = item.value; - var args = []; - while (argCount-- > 0) { - args.unshift(nstack.pop()); - } - f = nstack.pop(); - if (f.apply && f.call) { - nstack.push(f.apply(undefined, args)); - } else { - throw new Error(f + ' is not a function'); - } - } else if (type === IEXPR) { - nstack.push(item.value); - } else if (type === IMEMBER) { - n1 = nstack.pop(); - nstack.push(n1[item.value]); - } else { - throw new Error('invalid Expression'); - } } - if (nstack.length > 1) { - throw new Error('invalid Expression (parity)'); - } - return nstack[0]; -} -Expression.prototype.evaluate = function (values) { - values = values || {}; - return evaluate(this.tokens, this, values); -}; - -function expressionToString(tokens, toJS) { - var nstack = []; - var n1, n2, n3; - var f; - for (var i = 0, L = tokens.length; i < L; i++) { - var item = tokens[i]; - var type = item.type; - if (type === INUMBER) { - if (typeof item.value === 'number' && item.value < 0) { - nstack.push('(' + item.value + ')'); - } else { - nstack.push(escapeValue(item.value)); - } - } else if (type === IOP2) { - n2 = nstack.pop(); - n1 = nstack.pop(); - f = item.value; - if (toJS) { - if (f === '^') { - nstack.push('Math.pow(' + n1 + ', ' + n2 + ')'); - } else if (f === 'and') { - nstack.push('(!!' + n1 + ' && !!' + n2 + ')'); - } else if (f === 'or') { - nstack.push('(!!' + n1 + ' || !!' + n2 + ')'); - } else if (f === '||') { - nstack.push('(String(' + n1 + ') + String(' + n2 + '))'); - } else if (f === '==') { - nstack.push('(' + n1 + ' === ' + n2 + ')'); - } else if (f === '!=') { - nstack.push('(' + n1 + ' !== ' + n2 + ')'); - } else { - nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')'); - } - } else { - nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')'); - } - } else if (type === IOP3) { - n3 = nstack.pop(); - n2 = nstack.pop(); - n1 = nstack.pop(); - f = item.value; - if (f === '?') { - nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')'); - } else { - throw new Error('invalid Expression'); - } - } else if (type === IVAR) { - nstack.push(item.value); - } else if (type === IOP1) { - n1 = nstack.pop(); - f = item.value; - if (f === '-' || f === '+') { - nstack.push('(' + f + n1 + ')'); - } else if (toJS) { - if (f === 'not') { - nstack.push('(' + '!' + n1 + ')'); - } else if (f === '!') { - nstack.push('fac(' + n1 + ')'); - } else { - nstack.push(f + '(' + n1 + ')'); - } - } else if (f === '!') { - nstack.push('(' + n1 + '!)'); - } else { - nstack.push('(' + f + ' ' + n1 + ')'); - } - } else if (type === IFUNCALL) { - var argCount = item.value; - var args = []; - while (argCount-- > 0) { - args.unshift(nstack.pop()); - } - f = nstack.pop(); - nstack.push(f + '(' + args.join(', ') + ')'); - } else if (type === IMEMBER) { - n1 = nstack.pop(); - nstack.push(n1 + '.' + item.value); - } else if (type === IEXPR) { - nstack.push('(' + expressionToString(item.value, toJS) + ')'); - } else { - throw new Error('invalid Expression'); - } - } - if (nstack.length > 1) { - throw new Error('invalid Expression (parity)'); - } - return nstack[0]; -} - -Expression.prototype.toString = function () { - return expressionToString(this.tokens, false); -}; - -function getSymbols(tokens, symbols) { - for (var i = 0, L = tokens.length; i < L; i++) { - var item = tokens[i]; - if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) { - symbols.push(item.value); - } else if (item.type === IEXPR) { - getSymbols(item.value, symbols); - } - } -} - -Expression.prototype.symbols = function () { - var vars = []; - getSymbols(this.tokens, vars); - return vars; -}; - -Expression.prototype.variables = function () { - var vars = []; - getSymbols(this.tokens, vars); - var functions = this.functions; - return vars.filter(function (name) { - return !(name in functions); - }); -}; - -Expression.prototype.toJSFunction = function (param, variables) { - var expr = this; - var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func - return function () { - return f.apply(expr, arguments); - }; -}; - -function add(a, b) { - return Number(a) + Number(b); -} -function sub(a, b) { - return a - b; -} -function mul(a, b) { - return a * b; -} -function div(a, b) { - return a / b; -} -function mod(a, b) { - return a % b; -} -function concat(a, b) { - return '' + a + b; -} -function equal(a, b) { - return a === b; -} -function notEqual(a, b) { - return a !== b; -} -function greaterThan(a, b) { - return a > b; -} -function lessThan(a, b) { - return a < b; -} -function greaterThanEqual(a, b) { - return a >= b; -} -function lessThanEqual(a, b) { - return a <= b; -} -function andOperator(a, b) { - return Boolean(a && b); -} -function orOperator(a, b) { - return Boolean(a || b); -} -function sinh(a) { - return ((Math.exp(a) - Math.exp(-a)) / 2); -} -function cosh(a) { - return ((Math.exp(a) + Math.exp(-a)) / 2); -} -function tanh(a) { - if (a === Infinity) return 1; - if (a === -Infinity) return -1; - return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a)); -} -function asinh(a) { - if (a === -Infinity) return a; - return Math.log(a + Math.sqrt(a * a + 1)); -} -function acosh(a) { - return Math.log(a + Math.sqrt(a * a - 1)); -} -function atanh(a) { - return (Math.log((1 + a) / (1 - a)) / 2); -} -function log10(a) { - return Math.log(a) * Math.LOG10E; -} -function neg(a) { - return -a; -} -function not(a) { - return !a; -} -function trunc(a) { - return a < 0 ? Math.ceil(a) : Math.floor(a); -} -function random(a) { - return Math.random() * (a || 1); -} -function factorial(a) { // a! - return gamma(a + 1); -} -function stringLength(s) { - return String(s).length; -} - -function hypot() { - var sum = 0; - var larg = 0; - for (var i = 0, L = arguments.length; i < L; i++) { - var arg = Math.abs(arguments[i]); - var div; - if (larg < arg) { - div = larg / arg; - sum = sum * div * div + 1; - larg = arg; - } else if (arg > 0) { - div = arg / larg; - sum += div * div; - } else { - sum += arg; - } - } - return larg === Infinity ? Infinity : larg * Math.sqrt(sum); -} - -function condition(cond, yep, nope) { - return cond ? yep : nope; -} - -function isInteger(value) { - return isFinite(value) && (value === Math.round(value)); -} - -var GAMMA_G = 4.7421875; -var GAMMA_P = [ - 0.99999999999999709182, - 57.156235665862923517, -59.597960355475491248, - 14.136097974741747174, -0.49191381609762019978, - 0.33994649984811888699e-4, - 0.46523628927048575665e-4, -0.98374475304879564677e-4, - 0.15808870322491248884e-3, -0.21026444172410488319e-3, - 0.21743961811521264320e-3, -0.16431810653676389022e-3, - 0.84418223983852743293e-4, -0.26190838401581408670e-4, - 0.36899182659531622704e-5 -]; - -// Gamma function from math.js -function gamma(n) { - var t, x; - - if (isInteger(n)) { - if (n <= 0) { - return isFinite(n) ? Infinity : NaN; - } - - if (n > 171) { - return Infinity; // Will overflow - } - - var value = n - 2; - var res = n - 1; - while (value > 1) { - res *= value; - value--; - } - - if (res === 0) { - res = 1; // 0! is per definition 1 - } - - return res; - } - - if (n < 0.5) { - return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n)); - } - - if (n >= 171.35) { - return Infinity; // will overflow - } - - if (n > 85.0) { // Extended Stirling Approx - var twoN = n * n; - var threeN = twoN * n; - var fourN = threeN * n; - var fiveN = fourN * n; - return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) * - (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) - - 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) + - 5246819 / (75246796800 * fiveN * n)); - } - - --n; - x = GAMMA_P[0]; - for (var i = 1; i < GAMMA_P.length; ++i) { - x += GAMMA_P[i] / (n + i); - } - - t = n + GAMMA_G + 0.5; - return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x; -} - -var TEOF = 'TEOF'; -var TOP = 'TOP'; -var TNUMBER = 'TNUMBER'; -var TSTRING = 'TSTRING'; -var TPAREN = 'TPAREN'; -var TCOMMA = 'TCOMMA'; -var TNAME = 'TNAME'; - -function Token(type, value, line, column) { - this.type = type; - this.value = value; - this.line = line; - this.column = column; -} - -Token.prototype.toString = function () { - return this.type + ': ' + this.value; -}; - -function TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) { - this.pos = 0; - this.line = 0; - this.column = 0; - this.current = null; - this.unaryOps = unaryOps; - this.binaryOps = binaryOps; - this.ternaryOps = ternaryOps; - this.consts = consts; - this.expression = expression; - this.savedPosition = 0; - this.savedCurrent = null; - this.savedLine = 0; - this.savedColumn = 0; -} - -TokenStream.prototype.newToken = function (type, value, line, column) { - return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column); -}; - -TokenStream.prototype.save = function () { - this.savedPosition = this.pos; - this.savedCurrent = this.current; - this.savedLine = this.line; - this.savedColumn = this.column; -}; - -TokenStream.prototype.restore = function () { - this.pos = this.savedPosition; - this.current = this.savedCurrent; - this.line = this.savedLine; - this.column = this.savedColumn; -}; - -TokenStream.prototype.next = function () { - if (this.pos >= this.expression.length) { - return this.newToken(TEOF, 'EOF'); - } - - if (this.isWhitespace() || this.isComment()) { - return this.next(); - } else if (this.isNumber() || - this.isOperator() || - this.isString() || - this.isParen() || - this.isComma() || - this.isNamedOp() || - this.isConst() || - this.isName()) { - return this.current; - } else { - this.parseError('Unknown character "' + this.expression.charAt(this.pos) + '"'); - } -}; - -TokenStream.prototype.isString = function () { - var r = false; - var startLine = this.line; - var startColumn = this.column; - var startPos = this.pos; - var quote = this.expression.charAt(startPos); - - if (quote === '\'' || quote === '"') { - this.pos++; - this.column++; - var index = this.expression.indexOf(quote, startPos + 1); - while (index >= 0 && this.pos < this.expression.length) { - this.pos = index + 1; - if (this.expression.charAt(index - 1) !== '\\') { - var rawString = this.expression.substring(startPos + 1, index); - this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn); - var newLine = rawString.indexOf('\n'); - var lastNewline = -1; - while (newLine >= 0) { - this.line++; - this.column = 0; - lastNewline = newLine; - newLine = rawString.indexOf('\n', newLine + 1); - } - this.column += rawString.length - lastNewline; - r = true; - break; - } - index = this.expression.indexOf(quote, index + 1); - } - } - return r; -}; - -TokenStream.prototype.isParen = function () { - var char = this.expression.charAt(this.pos); - if (char === '(' || char === ')') { - this.current = this.newToken(TPAREN, char); - this.pos++; - this.column++; - return true; - } - return false; -}; - -TokenStream.prototype.isComma = function () { - var char = this.expression.charAt(this.pos); - if (char === ',') { - this.current = this.newToken(TCOMMA, ','); - this.pos++; - this.column++; - return true; - } - return false; -}; - -TokenStream.prototype.isConst = function () { - var startPos = this.pos; - var i = startPos; - for (; i < this.expression.length; i++) { - var c = this.expression.charAt(i); - if (c.toUpperCase() === c.toLowerCase()) { - if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) { - break; - } - } - } - if (i > startPos) { - var str = this.expression.substring(startPos, i); - if (str in this.consts) { - this.current = this.newToken(TNUMBER, this.consts[str]); - this.pos += str.length; - this.column += str.length; - return true; - } - } - return false; -}; - -TokenStream.prototype.isNamedOp = function () { - var startPos = this.pos; - var i = startPos; - for (; i < this.expression.length; i++) { - var c = this.expression.charAt(i); - if (c.toUpperCase() === c.toLowerCase()) { - if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) { - break; - } - } - } - if (i > startPos) { - var str = this.expression.substring(startPos, i); - if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) { - this.current = this.newToken(TOP, str); - this.pos += str.length; - this.column += str.length; - return true; - } - } - return false; -}; - -TokenStream.prototype.isName = function () { - var startPos = this.pos; - var i = startPos; - for (; i < this.expression.length; i++) { - var c = this.expression.charAt(i); - if (c.toUpperCase() === c.toLowerCase()) { - if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) { - break; - } - } - } - if (i > startPos) { - var str = this.expression.substring(startPos, i); - this.current = this.newToken(TNAME, str); - this.pos += str.length; - this.column += str.length; - return true; - } - return false; -}; - -TokenStream.prototype.isWhitespace = function () { - var r = false; - var char = this.expression.charAt(this.pos); - while (char === ' ' || char === '\t' || char === '\n' || char === '\r') { - r = true; - this.pos++; - this.column++; - if (char === '\n') { - this.line++; - this.column = 0; - } - if (this.pos >= this.expression.length) { - break; - } - char = this.expression.charAt(this.pos); - } - return r; -}; - -var codePointPattern = /^[0-9a-f]{4}$/i; - -TokenStream.prototype.unescape = function (v) { - var index = v.indexOf('\\'); - if (index < 0) { - return v; - } - - var buffer = v.substring(0, index); - while (index >= 0) { - var c = v.charAt(++index); - switch (c) { - case '\'': - buffer += '\''; - break; - case '"': - buffer += '"'; - break; - case '\\': - buffer += '\\'; - break; - case '/': - buffer += '/'; - break; - case 'b': - buffer += '\b'; - break; - case 'f': - buffer += '\f'; - break; - case 'n': - buffer += '\n'; - break; - case 'r': - buffer += '\r'; - break; - case 't': - buffer += '\t'; - break; - case 'u': - // interpret the following 4 characters as the hex of the unicode code point - var codePoint = v.substring(index + 1, index + 5); - if (!codePointPattern.test(codePoint)) { - this.parseError('Illegal escape sequence: \\u' + codePoint); - } - buffer += String.fromCharCode(parseInt(codePoint, 16)); - index += 4; - break; - default: - throw this.parseError('Illegal escape sequence: "\\' + c + '"'); - } - ++index; - var backslash = v.indexOf('\\', index); - buffer += v.substring(index, backslash < 0 ? v.length : backslash); - index = backslash; - } - - return buffer; -}; - -TokenStream.prototype.isComment = function () { - var char = this.expression.charAt(this.pos); - if (char === '/' && this.expression.charAt(this.pos + 1) === '*') { - var startPos = this.pos; - this.pos = this.expression.indexOf('*/', this.pos) + 2; - if (this.pos === 1) { - this.pos = this.expression.length; - } - var comment = this.expression.substring(startPos, this.pos); - var newline = comment.indexOf('\n'); - while (newline >= 0) { - this.line++; - this.column = comment.length - newline; - newline = comment.indexOf('\n', newline + 1); - } - return true; - } - return false; -}; - -TokenStream.prototype.isNumber = function () { - var valid = false; - var pos = this.pos; - var startPos = pos; - var resetPos = pos; - var column = this.column; - var resetColumn = column; - var foundDot = false; - var foundDigits = false; - var char; - - while (pos < this.expression.length) { - char = this.expression.charAt(pos); - if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) { - if (char === '.') { - foundDot = true; - } else { - foundDigits = true; - } - pos++; - column++; - valid = foundDigits; - } else { - break; - } - } - - if (valid) { - resetPos = pos; - resetColumn = column; - } - - if (char === 'e' || char === 'E') { - pos++; - column++; - var acceptSign = true; - var validExponent = false; - while (pos < this.expression.length) { - char = this.expression.charAt(pos); - if (acceptSign && (char === '+' || char === '-')) { - acceptSign = false; - } else if (char >= '0' && char <= '9') { - validExponent = true; - acceptSign = false; - } else { - break; - } - pos++; - column++; - } - - if (!validExponent) { - pos = resetPos; - column = resetColumn; - } - } - - if (valid) { - this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos))); - this.pos = pos; - this.column = column; - } else { - this.pos = resetPos; - this.column = resetColumn; - } - return valid; -}; - -TokenStream.prototype.isOperator = function () { - var char = this.expression.charAt(this.pos); - - if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') { - this.current = this.newToken(TOP, char); - } else if (char === '∙' || char === '•') { - this.current = this.newToken(TOP, '*'); - } else if (char === '>') { - if (this.expression.charAt(this.pos + 1) === '=') { - this.current = this.newToken(TOP, '>='); - this.pos++; - this.column++; - } else { - this.current = this.newToken(TOP, '>'); - } - } else if (char === '<') { - if (this.expression.charAt(this.pos + 1) === '=') { - this.current = this.newToken(TOP, '<='); - this.pos++; - this.column++; - } else { - this.current = this.newToken(TOP, '<'); - } - } else if (char === '|') { - if (this.expression.charAt(this.pos + 1) === '|') { - this.current = this.newToken(TOP, '||'); - this.pos++; - this.column++; - } else { - return false; - } - } else if (char === '=') { - if (this.expression.charAt(this.pos + 1) === '=') { - this.current = this.newToken(TOP, '=='); - this.pos++; - this.column++; - } else { - return false; - } - } else if (char === '!') { - if (this.expression.charAt(this.pos + 1) === '=') { - this.current = this.newToken(TOP, '!='); - this.pos++; - this.column++; - } else { - this.current = this.newToken(TOP, char); - } - } else { - return false; - } - this.pos++; - this.column++; - return true; -}; - -TokenStream.prototype.parseError = function (msg) { - throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg); -}; - -var unaryInstructionCache = {}; -function unaryInstruction(value) { - var inst = unaryInstructionCache[value]; - if (!inst) { - inst = unaryInstructionCache[value] = new Instruction(IOP1, value); - } - return inst; -} - -var binaryInstructionCache = {}; -function binaryInstruction(value) { - var inst = binaryInstructionCache[value]; - if (!inst) { - inst = binaryInstructionCache[value] = new Instruction(IOP2, value); - } - return inst; -} - -var ternaryInstructionCache = {}; -function ternaryInstruction(value) { - var inst = ternaryInstructionCache[value]; - if (!inst) { - inst = ternaryInstructionCache[value] = new Instruction(IOP3, value); - } - return inst; -} - -function ParserState(parser, tokenStream) { - this.parser = parser; - this.tokens = tokenStream; - this.current = null; - this.nextToken = null; - this.next(); - this.savedCurrent = null; - this.savedNextToken = null; -} - -ParserState.prototype.next = function () { - this.current = this.nextToken; - return (this.nextToken = this.tokens.next()); -}; - -ParserState.prototype.tokenMatches = function (token, value) { - if (typeof value === 'undefined') { - return true; - } else if (Array.isArray(value)) { - return indexOf(value, token.value) >= 0; - } else if (typeof value === 'function') { - return value(token); - } else { - return token.value === value; - } -}; - -ParserState.prototype.save = function () { - this.savedCurrent = this.current; - this.savedNextToken = this.nextToken; - this.tokens.save(); -}; - -ParserState.prototype.restore = function () { - this.tokens.restore(); - this.current = this.savedCurrent; - this.nextToken = this.savedNextToken; -}; - -ParserState.prototype.accept = function (type, value) { - if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) { - this.next(); - return true; - } - return false; -}; - -ParserState.prototype.expect = function (type, value) { - if (!this.accept(type, value)) { - throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type)); - } -}; - -ParserState.prototype.parseAtom = function (instr) { - if (this.accept(TNAME)) { - instr.push(new Instruction(IVAR, this.current.value)); - } else if (this.accept(TNUMBER)) { - instr.push(new Instruction(INUMBER, this.current.value)); - } else if (this.accept(TSTRING)) { - instr.push(new Instruction(INUMBER, this.current.value)); - } else if (this.accept(TPAREN, '(')) { - this.parseExpression(instr); - this.expect(TPAREN, ')'); - } else { - throw new Error('unexpected ' + this.nextToken); - } -}; - -ParserState.prototype.parseExpression = function (instr) { - this.parseConditionalExpression(instr); -}; - -ParserState.prototype.parseConditionalExpression = function (instr) { - this.parseOrExpression(instr); - while (this.accept(TOP, '?')) { - var trueBranch = []; - var falseBranch = []; - this.parseConditionalExpression(trueBranch); - this.expect(TOP, ':'); - this.parseConditionalExpression(falseBranch); - instr.push(new Instruction(IEXPR, trueBranch)); - instr.push(new Instruction(IEXPR, falseBranch)); - instr.push(ternaryInstruction('?')); - } -}; - -ParserState.prototype.parseOrExpression = function (instr) { - this.parseAndExpression(instr); - while (this.accept(TOP, 'or')) { - this.parseAndExpression(instr); - instr.push(binaryInstruction('or')); - } -}; - -ParserState.prototype.parseAndExpression = function (instr) { - this.parseComparison(instr); - while (this.accept(TOP, 'and')) { - this.parseComparison(instr); - instr.push(binaryInstruction('and')); - } -}; - -ParserState.prototype.parseComparison = function (instr) { - this.parseAddSub(instr); - while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) { - var op = this.current; - this.parseAddSub(instr); - instr.push(binaryInstruction(op.value)); - } -}; - -ParserState.prototype.parseAddSub = function (instr) { - this.parseTerm(instr); - while (this.accept(TOP, ['+', '-', '||'])) { - var op = this.current; - this.parseTerm(instr); - instr.push(binaryInstruction(op.value)); - } -}; - -ParserState.prototype.parseTerm = function (instr) { - this.parseFactor(instr); - while (this.accept(TOP, ['*', '/', '%'])) { - var op = this.current; - this.parseFactor(instr); - instr.push(binaryInstruction(op.value)); - } -}; - -ParserState.prototype.parseFactor = function (instr) { - var unaryOps = this.tokens.unaryOps; - function isPrefixOperator(token) { - return token.value in unaryOps; - } - - this.save(); - if (this.accept(TOP, isPrefixOperator)) { - if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) { - this.restore(); - this.parseExponential(instr); - } else { - var op = this.current; - this.parseFactor(instr); - instr.push(unaryInstruction(op.value)); - } - } else { - this.parseExponential(instr); - } -}; - -ParserState.prototype.parseExponential = function (instr) { - this.parsePostfixExpression(instr); - while (this.accept(TOP, '^')) { - this.parseFactor(instr); - instr.push(binaryInstruction('^')); - } -}; - -ParserState.prototype.parsePostfixExpression = function (instr) { - this.parseFunctionCall(instr); - while (this.accept(TOP, '!')) { - instr.push(unaryInstruction('!')); - } -}; - -ParserState.prototype.parseFunctionCall = function (instr) { - var unaryOps = this.tokens.unaryOps; - function isPrefixOperator(token) { - return token.value in unaryOps; - } - - if (this.accept(TOP, isPrefixOperator)) { - var op = this.current; - this.parseAtom(instr); - instr.push(unaryInstruction(op.value)); - } else { - this.parseMemberExpression(instr); - while (this.accept(TPAREN, '(')) { - if (this.accept(TPAREN, ')')) { - instr.push(new Instruction(IFUNCALL, 0)); - } else { - var argCount = this.parseArgumentList(instr); - instr.push(new Instruction(IFUNCALL, argCount)); - } - } - } -}; - -ParserState.prototype.parseArgumentList = function (instr) { - var argCount = 0; - - while (!this.accept(TPAREN, ')')) { - this.parseExpression(instr); - ++argCount; - while (this.accept(TCOMMA)) { - this.parseExpression(instr); - ++argCount; - } - } - - return argCount; -}; - -ParserState.prototype.parseMemberExpression = function (instr) { - this.parseAtom(instr); - while (this.accept(TOP, '.')) { - this.expect(TNAME); - instr.push(new Instruction(IMEMBER, this.current.value)); - } -}; - -function Parser() { - this.unaryOps = { - sin: Math.sin, - cos: Math.cos, - tan: Math.tan, - asin: Math.asin, - acos: Math.acos, - atan: Math.atan, - sinh: Math.sinh || sinh, - cosh: Math.cosh || cosh, - tanh: Math.tanh || tanh, - asinh: Math.asinh || asinh, - acosh: Math.acosh || acosh, - atanh: Math.atanh || atanh, - sqrt: Math.sqrt, - log: Math.log, - ln: Math.log, - lg: Math.log10 || log10, - log10: Math.log10 || log10, - abs: Math.abs, - ceil: Math.ceil, - floor: Math.floor, - round: Math.round, - trunc: Math.trunc || trunc, - '-': neg, - '+': Number, - exp: Math.exp, - not: not, - length: stringLength, - '!': factorial - }; - - this.binaryOps = { - '+': add, - '-': sub, - '*': mul, - '/': div, - '%': mod, - '^': Math.pow, - '||': concat, - '==': equal, - '!=': notEqual, - '>': greaterThan, - '<': lessThan, - '>=': greaterThanEqual, - '<=': lessThanEqual, - and: andOperator, - or: orOperator - }; - - this.ternaryOps = { - '?': condition - }; - - this.functions = { - random: random, - fac: factorial, - min: Math.min, - max: Math.max, - hypot: Math.hypot || hypot, - pyt: Math.hypot || hypot, // backward compat - pow: Math.pow, - atan2: Math.atan2, - 'if': condition, - gamma: gamma - }; - - this.consts = { - E: Math.E, - PI: Math.PI, - 'true': true, - 'false': false - }; -} - -Parser.parse = function (expr) { - return new Parser().parse(expr); -}; - -Parser.evaluate = function (expr, variables) { - return Parser.parse(expr).evaluate(variables); -}; - -Parser.prototype = { - parse: function (expr) { - var instr = []; - var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts)); - parserState.parseExpression(instr); - parserState.expect(TEOF, 'EOF'); - - return new Expression(instr, this); - }, - - evaluate: function (expr, variables) { - return this.parse(expr).evaluate(variables); - } -}; - -var parser = { - Parser: Parser, - Expression: Expression -}; - -return parser; - -}))); -}); - -//import mathjs from 'mathjs'; - -//var Parser = require('expr-eval').Parser; - -class ImageBlendExpressionFilter extends ImageToImageFilter { - - constructor(){ - super(); - - - var parser = new bundle.Parser(); - var expr = parser.parse('2 * x + 1'); - console.log(expr.evaluate({ x: 3 })); // 7 - - // or - //Parser.evaluate('6 * x', { x: 7 }) // 42 - - } - - - -} /* END of class ImageBlendExpressionFilter */ +} /* END class ForEachPixelImageFilter */ /* * Author Jonathan Lurie - http://me.jonahanlurie.fr @@ -2394,10 +1151,14 @@ class SpectralScaleImageFilter extends ImageToImageFilter { } /* END class SpectralScaleImageFilter */ +//export { SpatialConvolutionFilter } from './filter/SpatialConvolutionFilter.js'; +//export { ImageBlendExpressionFilter } from './filter/ImageBlendExpressionFilter.js'; + + // filters - processing of Image3D exports.PixpipeObject = PixpipeObject; -exports.Filter = Filter; +exports.Filter = Filter$1; exports.Image2D = Image2D; exports.ImageToImageFilter = ImageToImageFilter; exports.PixelWiseImageFilter = PixelWiseImageFilter; @@ -2405,8 +1166,6 @@ exports.CanvasImageWriter = CanvasImageWriter; exports.UrlImageReader = UrlImageReader; exports.FileImageReader = FileImageReader; exports.ForEachPixelImageFilter = ForEachPixelImageFilter; -exports.SpatialConvolutionFilter = SpatialConvolutionFilter; -exports.ImageBlendExpressionFilter = ImageBlendExpressionFilter; exports.SpectralScaleImageFilter = SpectralScaleImageFilter; Object.defineProperty(exports, '__esModule', { value: true }); diff --git a/dist/pixpipe.js.map b/dist/pixpipe.js.map index 81a3808..c3381da 100644 --- a/dist/pixpipe.js.map +++ b/dist/pixpipe.js.map @@ -1 +1 @@ -{"version":3,"file":"pixpipe.js","sources":["../src/core/PixpipeObject.js","../src/core/Filter.js","../src/core/Image2D.js","../src/core/ImageToImageFilter.js","../src/core/PixelWiseImageFilter.js","../src/io/CanvasImageWriter.js","../src/io/UrlImageReader.js","../src/io/FileImageReader.js","../src/filter/ForEachPixelImageFilter.js","../src/filter/SpatialConvolutionFilter.js","../node_modules/expr-eval/dist/bundle.js","../src/filter/ImageBlendExpressionFilter.js","../src/filter/SpectralScaleImageFilter.js","../src/pixpipe.js"],"sourcesContent":["/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n/**\n* PixpipeObject is the base object of all. It creates a uuid and has few\n* generic attributes like type, name and description. Not all these attributes\n* always useful;\n*/\nclass PixpipeObject {\n\n constructor(){\n // unique identifier\n this._uuid = 'xxxxxxxx-xxxx-4xxx-yxxx-xxxxxxxxxxxx'.replace(/[xy]/g, function(c) {\n var r = Math.random()*16|0, v = c == 'x' ? r : (r&0x3|0x8);\n return v.toString(16);\n });\n\n // Metadata can be anything, a name, an ID, a description, a DOM element.\n // everything that is not an input but rather a setting\n this._metadata = {};\n\n this._type = PixpipeObject.TYPE();\n }\n\n\n /**\n * Acces it like a static attribute.\n * Must be overloaded.\n */\n static TYPE(){\n return \"GENERIC\";\n }\n\n\n /**\n * Compare a give type to the type of this object.\n * @param {String} t - a type, better to call the static method of each object, like Image.TYPE()\n */\n isOfType( t ){\n return !(this._type.localeCompare(t))\n }\n\n\n /**\n * Get type of object.\n * @return {String} the type\n */\n getType(){\n this._type;\n }\n\n /**\n * Return a copy of the uuid\n */\n get uuid(){\n return this._uuid.slice();\n }\n\n\n /**\n * Set a metadata using a pair of key and value.\n * @param {String} key - the ID of the metadata\n * @param {Object} value - can be a string, Number or Object\n */\n setMetadata( key, value ){\n if(typeof key === 'string' || key instanceof String){\n this._metadata[ key ] = value;\n }else{\n console.warn(\"The given key must be a String Object.\");\n }\n\n }\n\n\n /**\n * Retrieve a metadata using a key.\n * @param {String} key - the ID of the metadata\n * @return {Object} the metadata object - or null if non existent\n */\n getMetadata( key ){\n if( key in this._metadata){\n return this._metadata[ key ];\n }else{\n console.warn(\"The metadata with key: \" + key + \" doe not exist.\");\n return null;\n }\n }\n\n\n\n\n}\n\nexport { PixpipeObject }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n/**\n* Filter is a base class and must be inherited to be used properly.\n* A filter takes one or more Image instances as input and returns one or more\n* instances of images as output.\n* Every filter has a addInput(), a getOutput() and a update() methods.\n* Every input and output can be arranged by category, so that internaly, a filter\n* can use and output diferent kind of data.\n*/\nclass Filter extends PixpipeObject {\n\n constructor(){\n super();\n this._type = Filter.TYPE();\n\n // a bunch of event to be defined. Empty by default.\n this._events = {};\n\n this._inputValidator = {};\n\n this._input = {\n \"0\": []\n };\n\n this._output = {\n \"0\" : []\n };\n\n }\n\n\n /**\n * Hardcode the datatype\n */\n static TYPE(){\n return \"FILTER\";\n }\n\n /**\n * Set an input, potentially associated to a category.\n * @param {Image2D} inputObject - most likely an instance of Image2D but can also be HTML5 File or Image3D\n * @param {Number} category - in case we want to get data from diferent categories.\n */\n addInput( inputObject, category=0){\n\n if(category < 0 ){\n console.warn(\"A input cannot be of category inferior to zero\");\n return;\n }\n\n // the category may not exist, we create it\n if( !(category in this._input) ){\n this._input[category] = null;\n }\n\n this._input[category] = inputObject ;\n }\n\n\n /**\n * Return outputs from a category (default category: 0)\n * @param {Number} category - a category of output.\n * @return {Object} or null if no output can be returned.\n */\n getOutput( category=0 ){\n if( category in this._output ){\n return this._output[ category ];\n }else{\n return null;\n }\n }\n\n\n /**\n * [PRIVATE]\n * should noly be used by the class that inherit Filter.\n * This is just a wraper to not access the raw _output object.\n * @param {Image2D} imageObject - instance of an image\n * @param {Number} category - in case we want to get data from different categories.\n */\n _setOutput( data, category=0 ){\n // the category may not exist, we create it\n if( !(category in this._output) ){\n this._output[category] = null;\n }\n\n this._output[category] = data ;\n }\n\n\n /**\n * [PRIVATE]\n * should noly be used by the class that inherit Filter.\n * @param {Number} category - in case we want to get data from different categories.\n * @return {Object} or null if no input can be returned\n */\n _getInput( category=0 ){\n if( category in this._input ){\n return this._input[ category ];\n }else{\n return null;\n }\n }\n\n\n /**\n * Validate the input data using a model defined in _inputValidator.\n * Every class that implement Filter must implement their own _inputValidator.\n * Not mandatory to use, still a good practice.\n */\n hasValidInput(){\n var that = this;\n var inputCategories = Object.keys( this._inputValidator );\n var valid = true;\n\n inputCategories.forEach( function(key){\n valid = valid && that._getInput( key ).isOfType( that._inputValidator[ key ] )\n });\n\n if(!valid){\n console.warn(\"The input is not valid.\");\n }\n\n return valid;\n }\n\n\n /**\n * Check if all input image have the same size.\n * @return {Boolean} true is same size, false if not.\n */\n hasSameSizeInput(){\n var that = this;\n var inputCategories = Object.keys( this._inputValidator );\n var sameSize = true;\n\n var widths = [];\n var heights = [];\n\n inputCategories.forEach( function(key){\n widths.push( that._getInput( key ).getWidth() );\n heights.push( that._getInput( key ).getHeight() );\n });\n\n // if all input have the same size\n if(widths.length){\n widths.sort();\n heights.sort();\n sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) &&\n (heights[ 0 ] == heights[ heights.length -1 ] );\n\n if( !sameSize ){\n console.warn(\"Input image do not all have the same size. Filter not valid\");\n }\n }\n\n return sameSize;\n }\n\n\n /**\n * MUST be implemented by the class that inherit this.\n * Launch the process.\n */\n update(){\n console.error(\"The update() method has not been written, this filter is not valid.\");\n }\n\n\n /**\n * Defines a callback. By defautl, no callback is called.\n */\n on(eventId, callback){\n this._events[ eventId ] = callback;\n }\n\n\n} /* END class Filter */\n\nexport { Filter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n/**\n* Image2D class is one of the few base element of Pixpipejs.\n* It is always considered to be 4 channels (RGBA) and stored as a Float32Array\n* typed array.\n*/\nclass Image2D extends PixpipeObject{\n\n\n /**\n * Constructor of an Image2D instance. If no options, no array is allocated.\n * @param {Object} options - if present, must have options.width, options.height. Also options.color = [r, g, b, a] is possible but not mandatory, this sets the default color.\n */\n constructor( options=null ){\n super();\n this._type = Image2D.TYPE();\n\n // a rgba stored in a Float32Array (typed array)\n this._data = null;\n this._width = -1;\n this._height = -1;\n this._componentsPerPixel = 4; // RGBA, by default\n\n // allocate the array if size is specified\n if(options && \"width\" in options && \"height\" in options){\n\n if( options.width > 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p 1) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = binaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value));\n nstack.push(item);\n } else if (type === IOP3 && nstack.length > 2) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(n1.value ? n2.value : n3.value);\n } else {\n f = ternaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value));\n nstack.push(item);\n }\n } else if (type === IOP1 && nstack.length > 0) {\n n1 = nstack.pop();\n f = unaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value));\n nstack.push(item);\n } else if (type === IEXPR) {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values)));\n } else if (type === IMEMBER && nstack.length > 0) {\n n1 = nstack.pop();\n nstack.push(new Instruction(INUMBER, n1.value[item.value]));\n } else {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(item);\n }\n }\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n return newexpression;\n}\n\nExpression.prototype.simplify = function (values) {\n values = values || {};\n return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser);\n};\n\nfunction substitute(tokens, variable, expr) {\n var newexpression = [];\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === IVAR && item.value === variable) {\n for (var j = 0; j < expr.tokens.length; j++) {\n var expritem = expr.tokens[j];\n var replitem;\n if (expritem.type === IOP1) {\n replitem = unaryInstruction(expritem.value);\n } else if (expritem.type === IOP2) {\n replitem = binaryInstruction(expritem.value);\n } else if (expritem.type === IOP3) {\n replitem = ternaryInstruction(expritem.value);\n } else {\n replitem = new Instruction(expritem.type, expritem.value);\n }\n newexpression.push(replitem);\n }\n } else if (type === IEXPR) {\n newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr)));\n } else {\n newexpression.push(item);\n }\n }\n return newexpression;\n}\n\nExpression.prototype.substitute = function (variable, expr) {\n if (!(expr instanceof Expression)) {\n expr = this.parser.parse(String(expr));\n }\n\n return new Expression(substitute(this.tokens, variable, expr), this.parser);\n};\n\nfunction evaluate(tokens, expr, values) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n nstack.push(item.value);\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = expr.binaryOps[item.value];\n nstack.push(f(n1, n2));\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(evaluate(n1 ? n2 : n3, expr, values));\n } else {\n f = expr.ternaryOps[item.value];\n nstack.push(f(n1, n2, n3));\n }\n } else if (type === IVAR) {\n if (item.value in expr.functions) {\n nstack.push(expr.functions[item.value]);\n } else {\n var v = values[item.value];\n if (v !== undefined) {\n nstack.push(v);\n } else {\n throw new Error('undefined variable: ' + item.value);\n }\n }\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = expr.unaryOps[item.value];\n nstack.push(f(n1));\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n if (f.apply && f.call) {\n nstack.push(f.apply(undefined, args));\n } else {\n throw new Error(f + ' is not a function');\n }\n } else if (type === IEXPR) {\n nstack.push(item.value);\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1[item.value]);\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.evaluate = function (values) {\n values = values || {};\n return evaluate(this.tokens, this, values);\n};\n\nfunction expressionToString(tokens, toJS) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n if (typeof item.value === 'number' && item.value < 0) {\n nstack.push('(' + item.value + ')');\n } else {\n nstack.push(escapeValue(item.value));\n }\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (toJS) {\n if (f === '^') {\n nstack.push('Math.pow(' + n1 + ', ' + n2 + ')');\n } else if (f === 'and') {\n nstack.push('(!!' + n1 + ' && !!' + n2 + ')');\n } else if (f === 'or') {\n nstack.push('(!!' + n1 + ' || !!' + n2 + ')');\n } else if (f === '||') {\n nstack.push('(String(' + n1 + ') + String(' + n2 + '))');\n } else if (f === '==') {\n nstack.push('(' + n1 + ' === ' + n2 + ')');\n } else if (f === '!=') {\n nstack.push('(' + n1 + ' !== ' + n2 + ')');\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (f === '?') {\n nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');\n } else {\n throw new Error('invalid Expression');\n }\n } else if (type === IVAR) {\n nstack.push(item.value);\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = item.value;\n if (f === '-' || f === '+') {\n nstack.push('(' + f + n1 + ')');\n } else if (toJS) {\n if (f === 'not') {\n nstack.push('(' + '!' + n1 + ')');\n } else if (f === '!') {\n nstack.push('fac(' + n1 + ')');\n } else {\n nstack.push(f + '(' + n1 + ')');\n }\n } else if (f === '!') {\n nstack.push('(' + n1 + '!)');\n } else {\n nstack.push('(' + f + ' ' + n1 + ')');\n }\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n nstack.push(f + '(' + args.join(', ') + ')');\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1 + '.' + item.value);\n } else if (type === IEXPR) {\n nstack.push('(' + expressionToString(item.value, toJS) + ')');\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.toString = function () {\n return expressionToString(this.tokens, false);\n};\n\nfunction getSymbols(tokens, symbols) {\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) {\n symbols.push(item.value);\n } else if (item.type === IEXPR) {\n getSymbols(item.value, symbols);\n }\n }\n}\n\nExpression.prototype.symbols = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n return vars;\n};\n\nExpression.prototype.variables = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n var functions = this.functions;\n return vars.filter(function (name) {\n return !(name in functions);\n });\n};\n\nExpression.prototype.toJSFunction = function (param, variables) {\n var expr = this;\n var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func\n return function () {\n return f.apply(expr, arguments);\n };\n};\n\nfunction add(a, b) {\n return Number(a) + Number(b);\n}\nfunction sub(a, b) {\n return a - b;\n}\nfunction mul(a, b) {\n return a * b;\n}\nfunction div(a, b) {\n return a / b;\n}\nfunction mod(a, b) {\n return a % b;\n}\nfunction concat(a, b) {\n return '' + a + b;\n}\nfunction equal(a, b) {\n return a === b;\n}\nfunction notEqual(a, b) {\n return a !== b;\n}\nfunction greaterThan(a, b) {\n return a > b;\n}\nfunction lessThan(a, b) {\n return a < b;\n}\nfunction greaterThanEqual(a, b) {\n return a >= b;\n}\nfunction lessThanEqual(a, b) {\n return a <= b;\n}\nfunction andOperator(a, b) {\n return Boolean(a && b);\n}\nfunction orOperator(a, b) {\n return Boolean(a || b);\n}\nfunction sinh(a) {\n return ((Math.exp(a) - Math.exp(-a)) / 2);\n}\nfunction cosh(a) {\n return ((Math.exp(a) + Math.exp(-a)) / 2);\n}\nfunction tanh(a) {\n if (a === Infinity) return 1;\n if (a === -Infinity) return -1;\n return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a));\n}\nfunction asinh(a) {\n if (a === -Infinity) return a;\n return Math.log(a + Math.sqrt(a * a + 1));\n}\nfunction acosh(a) {\n return Math.log(a + Math.sqrt(a * a - 1));\n}\nfunction atanh(a) {\n return (Math.log((1 + a) / (1 - a)) / 2);\n}\nfunction log10(a) {\n return Math.log(a) * Math.LOG10E;\n}\nfunction neg(a) {\n return -a;\n}\nfunction not(a) {\n return !a;\n}\nfunction trunc(a) {\n return a < 0 ? Math.ceil(a) : Math.floor(a);\n}\nfunction random(a) {\n return Math.random() * (a || 1);\n}\nfunction factorial(a) { // a!\n return gamma(a + 1);\n}\nfunction stringLength(s) {\n return String(s).length;\n}\n\nfunction hypot() {\n var sum = 0;\n var larg = 0;\n for (var i = 0, L = arguments.length; i < L; i++) {\n var arg = Math.abs(arguments[i]);\n var div;\n if (larg < arg) {\n div = larg / arg;\n sum = sum * div * div + 1;\n larg = arg;\n } else if (arg > 0) {\n div = arg / larg;\n sum += div * div;\n } else {\n sum += arg;\n }\n }\n return larg === Infinity ? Infinity : larg * Math.sqrt(sum);\n}\n\nfunction condition(cond, yep, nope) {\n return cond ? yep : nope;\n}\n\nfunction isInteger(value) {\n return isFinite(value) && (value === Math.round(value));\n}\n\nvar GAMMA_G = 4.7421875;\nvar GAMMA_P = [\n 0.99999999999999709182,\n 57.156235665862923517, -59.597960355475491248,\n 14.136097974741747174, -0.49191381609762019978,\n 0.33994649984811888699e-4,\n 0.46523628927048575665e-4, -0.98374475304879564677e-4,\n 0.15808870322491248884e-3, -0.21026444172410488319e-3,\n 0.21743961811521264320e-3, -0.16431810653676389022e-3,\n 0.84418223983852743293e-4, -0.26190838401581408670e-4,\n 0.36899182659531622704e-5\n];\n\n// Gamma function from math.js\nfunction gamma(n) {\n var t, x;\n\n if (isInteger(n)) {\n if (n <= 0) {\n return isFinite(n) ? Infinity : NaN;\n }\n\n if (n > 171) {\n return Infinity; // Will overflow\n }\n\n var value = n - 2;\n var res = n - 1;\n while (value > 1) {\n res *= value;\n value--;\n }\n\n if (res === 0) {\n res = 1; // 0! is per definition 1\n }\n\n return res;\n }\n\n if (n < 0.5) {\n return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));\n }\n\n if (n >= 171.35) {\n return Infinity; // will overflow\n }\n\n if (n > 85.0) { // Extended Stirling Approx\n var twoN = n * n;\n var threeN = twoN * n;\n var fourN = threeN * n;\n var fiveN = fourN * n;\n return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) *\n (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) -\n 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) +\n 5246819 / (75246796800 * fiveN * n));\n }\n\n --n;\n x = GAMMA_P[0];\n for (var i = 1; i < GAMMA_P.length; ++i) {\n x += GAMMA_P[i] / (n + i);\n }\n\n t = n + GAMMA_G + 0.5;\n return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;\n}\n\nvar TEOF = 'TEOF';\nvar TOP = 'TOP';\nvar TNUMBER = 'TNUMBER';\nvar TSTRING = 'TSTRING';\nvar TPAREN = 'TPAREN';\nvar TCOMMA = 'TCOMMA';\nvar TNAME = 'TNAME';\n\nfunction Token(type, value, line, column) {\n this.type = type;\n this.value = value;\n this.line = line;\n this.column = column;\n}\n\nToken.prototype.toString = function () {\n return this.type + ': ' + this.value;\n};\n\nfunction TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) {\n this.pos = 0;\n this.line = 0;\n this.column = 0;\n this.current = null;\n this.unaryOps = unaryOps;\n this.binaryOps = binaryOps;\n this.ternaryOps = ternaryOps;\n this.consts = consts;\n this.expression = expression;\n this.savedPosition = 0;\n this.savedCurrent = null;\n this.savedLine = 0;\n this.savedColumn = 0;\n}\n\nTokenStream.prototype.newToken = function (type, value, line, column) {\n return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column);\n};\n\nTokenStream.prototype.save = function () {\n this.savedPosition = this.pos;\n this.savedCurrent = this.current;\n this.savedLine = this.line;\n this.savedColumn = this.column;\n};\n\nTokenStream.prototype.restore = function () {\n this.pos = this.savedPosition;\n this.current = this.savedCurrent;\n this.line = this.savedLine;\n this.column = this.savedColumn;\n};\n\nTokenStream.prototype.next = function () {\n if (this.pos >= this.expression.length) {\n return this.newToken(TEOF, 'EOF');\n }\n\n if (this.isWhitespace() || this.isComment()) {\n return this.next();\n } else if (this.isNumber() ||\n this.isOperator() ||\n this.isString() ||\n this.isParen() ||\n this.isComma() ||\n this.isNamedOp() ||\n this.isConst() ||\n this.isName()) {\n return this.current;\n } else {\n this.parseError('Unknown character \"' + this.expression.charAt(this.pos) + '\"');\n }\n};\n\nTokenStream.prototype.isString = function () {\n var r = false;\n var startLine = this.line;\n var startColumn = this.column;\n var startPos = this.pos;\n var quote = this.expression.charAt(startPos);\n\n if (quote === '\\'' || quote === '\"') {\n this.pos++;\n this.column++;\n var index = this.expression.indexOf(quote, startPos + 1);\n while (index >= 0 && this.pos < this.expression.length) {\n this.pos = index + 1;\n if (this.expression.charAt(index - 1) !== '\\\\') {\n var rawString = this.expression.substring(startPos + 1, index);\n this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn);\n var newLine = rawString.indexOf('\\n');\n var lastNewline = -1;\n while (newLine >= 0) {\n this.line++;\n this.column = 0;\n lastNewline = newLine;\n newLine = rawString.indexOf('\\n', newLine + 1);\n }\n this.column += rawString.length - lastNewline;\n r = true;\n break;\n }\n index = this.expression.indexOf(quote, index + 1);\n }\n }\n return r;\n};\n\nTokenStream.prototype.isParen = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '(' || char === ')') {\n this.current = this.newToken(TPAREN, char);\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isComma = function () {\n var char = this.expression.charAt(this.pos);\n if (char === ',') {\n this.current = this.newToken(TCOMMA, ',');\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isConst = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.consts) {\n this.current = this.newToken(TNUMBER, this.consts[str]);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isNamedOp = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) {\n this.current = this.newToken(TOP, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isName = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n this.current = this.newToken(TNAME, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isWhitespace = function () {\n var r = false;\n var char = this.expression.charAt(this.pos);\n while (char === ' ' || char === '\\t' || char === '\\n' || char === '\\r') {\n r = true;\n this.pos++;\n this.column++;\n if (char === '\\n') {\n this.line++;\n this.column = 0;\n }\n if (this.pos >= this.expression.length) {\n break;\n }\n char = this.expression.charAt(this.pos);\n }\n return r;\n};\n\nvar codePointPattern = /^[0-9a-f]{4}$/i;\n\nTokenStream.prototype.unescape = function (v) {\n var index = v.indexOf('\\\\');\n if (index < 0) {\n return v;\n }\n\n var buffer = v.substring(0, index);\n while (index >= 0) {\n var c = v.charAt(++index);\n switch (c) {\n case '\\'':\n buffer += '\\'';\n break;\n case '\"':\n buffer += '\"';\n break;\n case '\\\\':\n buffer += '\\\\';\n break;\n case '/':\n buffer += '/';\n break;\n case 'b':\n buffer += '\\b';\n break;\n case 'f':\n buffer += '\\f';\n break;\n case 'n':\n buffer += '\\n';\n break;\n case 'r':\n buffer += '\\r';\n break;\n case 't':\n buffer += '\\t';\n break;\n case 'u':\n // interpret the following 4 characters as the hex of the unicode code point\n var codePoint = v.substring(index + 1, index + 5);\n if (!codePointPattern.test(codePoint)) {\n this.parseError('Illegal escape sequence: \\\\u' + codePoint);\n }\n buffer += String.fromCharCode(parseInt(codePoint, 16));\n index += 4;\n break;\n default:\n throw this.parseError('Illegal escape sequence: \"\\\\' + c + '\"');\n }\n ++index;\n var backslash = v.indexOf('\\\\', index);\n buffer += v.substring(index, backslash < 0 ? v.length : backslash);\n index = backslash;\n }\n\n return buffer;\n};\n\nTokenStream.prototype.isComment = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '/' && this.expression.charAt(this.pos + 1) === '*') {\n var startPos = this.pos;\n this.pos = this.expression.indexOf('*/', this.pos) + 2;\n if (this.pos === 1) {\n this.pos = this.expression.length;\n }\n var comment = this.expression.substring(startPos, this.pos);\n var newline = comment.indexOf('\\n');\n while (newline >= 0) {\n this.line++;\n this.column = comment.length - newline;\n newline = comment.indexOf('\\n', newline + 1);\n }\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isNumber = function () {\n var valid = false;\n var pos = this.pos;\n var startPos = pos;\n var resetPos = pos;\n var column = this.column;\n var resetColumn = column;\n var foundDot = false;\n var foundDigits = false;\n var char;\n\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) {\n if (char === '.') {\n foundDot = true;\n } else {\n foundDigits = true;\n }\n pos++;\n column++;\n valid = foundDigits;\n } else {\n break;\n }\n }\n\n if (valid) {\n resetPos = pos;\n resetColumn = column;\n }\n\n if (char === 'e' || char === 'E') {\n pos++;\n column++;\n var acceptSign = true;\n var validExponent = false;\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if (acceptSign && (char === '+' || char === '-')) {\n acceptSign = false;\n } else if (char >= '0' && char <= '9') {\n validExponent = true;\n acceptSign = false;\n } else {\n break;\n }\n pos++;\n column++;\n }\n\n if (!validExponent) {\n pos = resetPos;\n column = resetColumn;\n }\n }\n\n if (valid) {\n this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos)));\n this.pos = pos;\n this.column = column;\n } else {\n this.pos = resetPos;\n this.column = resetColumn;\n }\n return valid;\n};\n\nTokenStream.prototype.isOperator = function () {\n var char = this.expression.charAt(this.pos);\n\n if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') {\n this.current = this.newToken(TOP, char);\n } else if (char === '∙' || char === '•') {\n this.current = this.newToken(TOP, '*');\n } else if (char === '>') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '>=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '>');\n }\n } else if (char === '<') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '<=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '<');\n }\n } else if (char === '|') {\n if (this.expression.charAt(this.pos + 1) === '|') {\n this.current = this.newToken(TOP, '||');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '=') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '==');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '!') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '!=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, char);\n }\n } else {\n return false;\n }\n this.pos++;\n this.column++;\n return true;\n};\n\nTokenStream.prototype.parseError = function (msg) {\n throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg);\n};\n\nvar unaryInstructionCache = {};\nfunction unaryInstruction(value) {\n var inst = unaryInstructionCache[value];\n if (!inst) {\n inst = unaryInstructionCache[value] = new Instruction(IOP1, value);\n }\n return inst;\n}\n\nvar binaryInstructionCache = {};\nfunction binaryInstruction(value) {\n var inst = binaryInstructionCache[value];\n if (!inst) {\n inst = binaryInstructionCache[value] = new Instruction(IOP2, value);\n }\n return inst;\n}\n\nvar ternaryInstructionCache = {};\nfunction ternaryInstruction(value) {\n var inst = ternaryInstructionCache[value];\n if (!inst) {\n inst = ternaryInstructionCache[value] = new Instruction(IOP3, value);\n }\n return inst;\n}\n\nfunction ParserState(parser, tokenStream) {\n this.parser = parser;\n this.tokens = tokenStream;\n this.current = null;\n this.nextToken = null;\n this.next();\n this.savedCurrent = null;\n this.savedNextToken = null;\n}\n\nParserState.prototype.next = function () {\n this.current = this.nextToken;\n return (this.nextToken = this.tokens.next());\n};\n\nParserState.prototype.tokenMatches = function (token, value) {\n if (typeof value === 'undefined') {\n return true;\n } else if (Array.isArray(value)) {\n return indexOf(value, token.value) >= 0;\n } else if (typeof value === 'function') {\n return value(token);\n } else {\n return token.value === value;\n }\n};\n\nParserState.prototype.save = function () {\n this.savedCurrent = this.current;\n this.savedNextToken = this.nextToken;\n this.tokens.save();\n};\n\nParserState.prototype.restore = function () {\n this.tokens.restore();\n this.current = this.savedCurrent;\n this.nextToken = this.savedNextToken;\n};\n\nParserState.prototype.accept = function (type, value) {\n if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) {\n this.next();\n return true;\n }\n return false;\n};\n\nParserState.prototype.expect = function (type, value) {\n if (!this.accept(type, value)) {\n throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type));\n }\n};\n\nParserState.prototype.parseAtom = function (instr) {\n if (this.accept(TNAME)) {\n instr.push(new Instruction(IVAR, this.current.value));\n } else if (this.accept(TNUMBER)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TSTRING)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TPAREN, '(')) {\n this.parseExpression(instr);\n this.expect(TPAREN, ')');\n } else {\n throw new Error('unexpected ' + this.nextToken);\n }\n};\n\nParserState.prototype.parseExpression = function (instr) {\n this.parseConditionalExpression(instr);\n};\n\nParserState.prototype.parseConditionalExpression = function (instr) {\n this.parseOrExpression(instr);\n while (this.accept(TOP, '?')) {\n var trueBranch = [];\n var falseBranch = [];\n this.parseConditionalExpression(trueBranch);\n this.expect(TOP, ':');\n this.parseConditionalExpression(falseBranch);\n instr.push(new Instruction(IEXPR, trueBranch));\n instr.push(new Instruction(IEXPR, falseBranch));\n instr.push(ternaryInstruction('?'));\n }\n};\n\nParserState.prototype.parseOrExpression = function (instr) {\n this.parseAndExpression(instr);\n while (this.accept(TOP, 'or')) {\n this.parseAndExpression(instr);\n instr.push(binaryInstruction('or'));\n }\n};\n\nParserState.prototype.parseAndExpression = function (instr) {\n this.parseComparison(instr);\n while (this.accept(TOP, 'and')) {\n this.parseComparison(instr);\n instr.push(binaryInstruction('and'));\n }\n};\n\nParserState.prototype.parseComparison = function (instr) {\n this.parseAddSub(instr);\n while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) {\n var op = this.current;\n this.parseAddSub(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseAddSub = function (instr) {\n this.parseTerm(instr);\n while (this.accept(TOP, ['+', '-', '||'])) {\n var op = this.current;\n this.parseTerm(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseTerm = function (instr) {\n this.parseFactor(instr);\n while (this.accept(TOP, ['*', '/', '%'])) {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseFactor = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n this.save();\n if (this.accept(TOP, isPrefixOperator)) {\n if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) {\n this.restore();\n this.parseExponential(instr);\n } else {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(unaryInstruction(op.value));\n }\n } else {\n this.parseExponential(instr);\n }\n};\n\nParserState.prototype.parseExponential = function (instr) {\n this.parsePostfixExpression(instr);\n while (this.accept(TOP, '^')) {\n this.parseFactor(instr);\n instr.push(binaryInstruction('^'));\n }\n};\n\nParserState.prototype.parsePostfixExpression = function (instr) {\n this.parseFunctionCall(instr);\n while (this.accept(TOP, '!')) {\n instr.push(unaryInstruction('!'));\n }\n};\n\nParserState.prototype.parseFunctionCall = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n if (this.accept(TOP, isPrefixOperator)) {\n var op = this.current;\n this.parseAtom(instr);\n instr.push(unaryInstruction(op.value));\n } else {\n this.parseMemberExpression(instr);\n while (this.accept(TPAREN, '(')) {\n if (this.accept(TPAREN, ')')) {\n instr.push(new Instruction(IFUNCALL, 0));\n } else {\n var argCount = this.parseArgumentList(instr);\n instr.push(new Instruction(IFUNCALL, argCount));\n }\n }\n }\n};\n\nParserState.prototype.parseArgumentList = function (instr) {\n var argCount = 0;\n\n while (!this.accept(TPAREN, ')')) {\n this.parseExpression(instr);\n ++argCount;\n while (this.accept(TCOMMA)) {\n this.parseExpression(instr);\n ++argCount;\n }\n }\n\n return argCount;\n};\n\nParserState.prototype.parseMemberExpression = function (instr) {\n this.parseAtom(instr);\n while (this.accept(TOP, '.')) {\n this.expect(TNAME);\n instr.push(new Instruction(IMEMBER, this.current.value));\n }\n};\n\nfunction Parser() {\n this.unaryOps = {\n sin: Math.sin,\n cos: Math.cos,\n tan: Math.tan,\n asin: Math.asin,\n acos: Math.acos,\n atan: Math.atan,\n sinh: Math.sinh || sinh,\n cosh: Math.cosh || cosh,\n tanh: Math.tanh || tanh,\n asinh: Math.asinh || asinh,\n acosh: Math.acosh || acosh,\n atanh: Math.atanh || atanh,\n sqrt: Math.sqrt,\n log: Math.log,\n ln: Math.log,\n lg: Math.log10 || log10,\n log10: Math.log10 || log10,\n abs: Math.abs,\n ceil: Math.ceil,\n floor: Math.floor,\n round: Math.round,\n trunc: Math.trunc || trunc,\n '-': neg,\n '+': Number,\n exp: Math.exp,\n not: not,\n length: stringLength,\n '!': factorial\n };\n\n this.binaryOps = {\n '+': add,\n '-': sub,\n '*': mul,\n '/': div,\n '%': mod,\n '^': Math.pow,\n '||': concat,\n '==': equal,\n '!=': notEqual,\n '>': greaterThan,\n '<': lessThan,\n '>=': greaterThanEqual,\n '<=': lessThanEqual,\n and: andOperator,\n or: orOperator\n };\n\n this.ternaryOps = {\n '?': condition\n };\n\n this.functions = {\n random: random,\n fac: factorial,\n min: Math.min,\n max: Math.max,\n hypot: Math.hypot || hypot,\n pyt: Math.hypot || hypot, // backward compat\n pow: Math.pow,\n atan2: Math.atan2,\n 'if': condition,\n gamma: gamma\n };\n\n this.consts = {\n E: Math.E,\n PI: Math.PI,\n 'true': true,\n 'false': false\n };\n}\n\nParser.parse = function (expr) {\n return new Parser().parse(expr);\n};\n\nParser.evaluate = function (expr, variables) {\n return Parser.parse(expr).evaluate(variables);\n};\n\nParser.prototype = {\n parse: function (expr) {\n var instr = [];\n var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts));\n parserState.parseExpression(instr);\n parserState.expect(TEOF, 'EOF');\n\n return new Expression(instr, this);\n },\n\n evaluate: function (expr, variables) {\n return this.parse(expr).evaluate(variables);\n }\n};\n\nvar parser = {\n Parser: Parser,\n Expression: Expression\n};\n\nreturn parser;\n\n})));\n","//import mathjs from 'mathjs';\n\nimport Parser from 'expr-eval'\n//var Parser = require('expr-eval').Parser;\n\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\nclass ImageBlendExpressionFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n\n\n var parser = new Parser.Parser();\n var expr = parser.parse('2 * x + 1');\n console.log(expr.evaluate({ x: 3 })); // 7\n\n // or\n //Parser.evaluate('6 * x', { x: 7 }) // 42\n\n }\n\n\n\n} /* END of class ImageBlendExpressionFilter */\n\n\nexport { ImageBlendExpressionFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Image2D } from '../core/Image2D.js';\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\n/**\n* Multiply an image by the other, like a scaling function.\n* The image requires two inputs named \"0\" and \"1\".\n* Simply use `addInput( myImg1, \"0\" )`\n* and `addInput( myImg2, \"1\" )`. The input \"0\" can have 1 or more bands while\n* the input \"1\" can have only one band since the same scale is apply to each band.\n*\n* usage: examples/forEachPixelGadient.html\n*/\nclass SpectralScaleImageFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n\n // both input are images.\n this._inputValidator[ 0 ] = Image2D.TYPE();\n this._inputValidator[ 1 ] = Image2D.TYPE();\n }\n\n\n /**\n * Run the filter\n */\n update(){\n // filter must have valid input of the same size\n if( !this.hasSameSizeInput() || !this.hasValidInput()){\n return;\n }\n\n var dataImg0 = this._getInput(0);\n var dataImg1 = this._getInput(1);\n\n // the input \"1\" (aka. the scaling data) must be single band\n if( dataImg1.getComponentsPerPixel() != 1 ){\n console.warn(\"The scaling image must have one single band.\");\n return;\n }\n\n var nbOfPixels = dataImg0.getWidth() * dataImg0.getHeight();\n var ncpp = dataImg0.getComponentsPerPixel();\n\n var data0 = dataImg0.getDataCopy();\n var data1 = dataImg1.getData();\n\n // scale the spectral info\n for(var p=0; p 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n /**\n * Associate a Pipeline instance to this image. Not supposed to be called manually\n * because it is automatically called-back when adding a filter to a pipeline.\n * @param {Pipeline} p - Pipeline object.\n */\n setPipeline( p ){\n // only if not already set.\n if(!this._pipeline){\n this._pipeline = p;\n }\n }\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p do NOT update the pipeline at every modif because if we change a lot + // of pixel values... (wait to call update() on the pipeline.) + + } /* END of class Image2D */ export { Image2D } diff --git a/src/core/Pipeline.js b/src/core/Pipeline.js new file mode 100644 index 0000000..102d69f --- /dev/null +++ b/src/core/Pipeline.js @@ -0,0 +1,72 @@ +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + +import { PixpipeObject } from './PixpipeObject.js'; + +/** +* A Pipeline instance handles a cascade of filter when an input dataset is updated. +* Using a Pipeline object is not mandatory and can be replaced by calling `update()`. +*/ +class Pipeline extends PixpipeObject { + + constructor(){ + super(); + this._type = Filter.TYPE(); + + // a list of filters + this._filters = []; + + this._isUpdated = false; + } + + + /** + * Hardcode the datatype + */ + static TYPE(){ + return "PIPELINE"; + } + + + /** + * Add a filter to the pipeline. + * + */ + addFilter( f ){ + this._filters.push( f ); + } + + + /** + * + */ + update(forceAll = false){ + + if( forceAll ){ + this._forceUpdateAll(); + }else{ + + } + + this._isUpdated = true; + } + + + /** + * Run an update on every single filter + */ + _forceUpdateAll(){ + for(var f=0; f Date: Wed, 15 Mar 2017 11:18:47 -0400 Subject: [PATCH 6/9] ADD new _setOutput logic with singleton --- dist/pixpipe.js | 203 +++++++++++++----- dist/pixpipe.js.map | 2 +- examples/css/style.css | 4 +- ...Gadient.html => forEachPixelGradient.html} | 2 +- src/core/Filter.js | 43 ++-- src/core/Image2D.js | 17 +- src/core/PipelineElement.js | 45 ++++ src/core/PixpipeObject.js | 4 +- src/filter/ForEachPixelImageFilter.js | 20 +- src/filter/SpectralScaleImageFilter.js | 11 +- src/io/UrlImageReader.js | 3 +- src/pixpipe.js | 2 + 12 files changed, 232 insertions(+), 124 deletions(-) rename examples/{forEachPixelGadient.html => forEachPixelGradient.html} (98%) create mode 100644 src/core/PipelineElement.js diff --git a/dist/pixpipe.js b/dist/pixpipe.js index 3c37df6..bbb562c 100644 --- a/dist/pixpipe.js +++ b/dist/pixpipe.js @@ -11,6 +11,7 @@ * Lab MCIN - Montreal Neurological Institute */ + /** * PixpipeObject is the base object of all. It creates a uuid and has few * generic attributes like type, name and description. Not all these attributes @@ -29,6 +30,8 @@ class PixpipeObject { // everything that is not an input but rather a setting this._metadata = {}; + this._pipeline = null; + this._type = PixpipeObject.TYPE(); } @@ -98,7 +101,6 @@ class PixpipeObject { - } /* @@ -108,6 +110,109 @@ class PixpipeObject { * Lab MCIN - Montreal Neurological Institute */ +class PipelineElement extends PixpipeObject { + + constructor(){ + super(); + + this._pipeline = null; + this._type = PipelineElement.TYPE(); + } + + + /** + * Acces it like a static attribute. + * Must be overloaded. + */ + static TYPE(){ + return "PIPELINE_ELEMENT"; + } + + + /** + * Associate a Pipeline instance to this image. Not supposed to be called manually + * because it is automatically called-back when adding a filter to a pipeline. + * @param {Pipeline} p - Pipeline object. + */ + setPipeline( p ){ + // only if not already set. + if(!this._pipeline){ + this._pipeline = p; + } + } + + +} /* ENDS class PipelineElement */ + +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + +/** +* A Pipeline instance handles a cascade of filter when an input dataset is updated. +* Using a Pipeline object is not mandatory and can be replaced by calling `update()`. +*/ +class Pipeline extends PixpipeObject { + + constructor(){ + super(); + this._type = Filter.TYPE(); + + // a list of filters + this._filters = []; + + this._isUpdated = false; + } + + + /** + * Hardcode the datatype + */ + static TYPE(){ + return "PIPELINE"; + } + + + /** + * Add a filter to the pipeline. + * + */ + addFilter( f ){ + this._filters.push( f ); + } + + + /** + * + */ + update(forceAll = false){ + + if( forceAll ){ + this._forceUpdateAll(); + }else{ + + } + + this._isUpdated = true; + } + + + /** + * Run an update on every single filter + */ + _forceUpdateAll(){ + for(var f=0; f do NOT update the pipeline at every modif because if we change a lot @@ -882,9 +976,9 @@ class UrlImageReader extends Filter$1 { try{ var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); var dataArray = imageData.data; - var img2D = new Image2D(); + var img2D = that._setOutput( Image2D ); img2D.setData( dataArray, img.width, img.height); - that._setOutput( img2D ); + if("imageLoaded" in that._events){ that._events.imageLoaded( that ); @@ -1054,24 +1148,10 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { this._forEachPixelOfSuch(firstPixel, lastPixel, increment ); - // TODO : find a way NOT to replace the ouput pointer so that the following - // filter can use the same object when refreshed by the pipeline - /* - // maybe using this kind of thing: - var anObjType = Image2D; - var im = new anObjType(); - console.log(im); - */ + // 1 - init the output + var outputImg = this._setOutput( Image2D ); - /* - // building the output - var img2D = new Image2D(); - img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight(), inputImage2D.getComponentsPerPixel()); - this._setOutput( img2D ); - */ - - var outputImg = this._setOutput2( Image2D ); - console.log(outputImg); + // 2 - tune the output outputImg.setData( this._inputBuffer, inputImage2D.getWidth(), @@ -1142,10 +1222,13 @@ class SpectralScaleImageFilter extends ImageToImageFilter { } // building the output - var img2D = new Image2D(); - img2D.setData( data0, dataImg0.getWidth(), dataImg0.getHeight()); - this._setOutput( img2D ); - + var img2D = this._setOutput( Image2D ); + img2D.setData( + data0, + dataImg0.getWidth(), + dataImg0.getHeight() + ); + } @@ -1158,6 +1241,8 @@ class SpectralScaleImageFilter extends ImageToImageFilter { // filters - processing of Image3D exports.PixpipeObject = PixpipeObject; +exports.PipelineElement = PipelineElement; +exports.Pipeline = Pipeline; exports.Filter = Filter$1; exports.Image2D = Image2D; exports.ImageToImageFilter = ImageToImageFilter; diff --git a/dist/pixpipe.js.map b/dist/pixpipe.js.map index c3381da..b16d93f 100644 --- a/dist/pixpipe.js.map +++ b/dist/pixpipe.js.map @@ -1 +1 @@ -{"version":3,"file":"pixpipe.js","sources":["../src/core/PixpipeObject.js","../src/core/Pipeline.js","../src/core/Filter.js","../src/core/Image2D.js","../src/core/ImageToImageFilter.js","../src/core/PixelWiseImageFilter.js","../src/io/CanvasImageWriter.js","../src/io/UrlImageReader.js","../src/io/FileImageReader.js","../src/filter/ForEachPixelImageFilter.js","../src/filter/SpectralScaleImageFilter.js","../src/pixpipe.js"],"sourcesContent":["/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n/**\n* PixpipeObject is the base object of all. It creates a uuid and has few\n* generic attributes like type, name and description. Not all these attributes\n* always useful;\n*/\nclass PixpipeObject {\n\n constructor(){\n // unique identifier\n this._uuid = 'xxxxxxxx-xxxx-4xxx-yxxx-xxxxxxxxxxxx'.replace(/[xy]/g, function(c) {\n var r = Math.random()*16|0, v = c == 'x' ? r : (r&0x3|0x8);\n return v.toString(16);\n });\n\n // Metadata can be anything, a name, an ID, a description, a DOM element.\n // everything that is not an input but rather a setting\n this._metadata = {};\n\n this._type = PixpipeObject.TYPE();\n }\n\n\n /**\n * Acces it like a static attribute.\n * Must be overloaded.\n */\n static TYPE(){\n return \"GENERIC\";\n }\n\n\n /**\n * Compare a give type to the type of this object.\n * @param {String} t - a type, better to call the static method of each object, like Image.TYPE()\n */\n isOfType( t ){\n return !(this._type.localeCompare(t))\n }\n\n\n /**\n * Get type of object.\n * @return {String} the type\n */\n getType(){\n this._type;\n }\n\n /**\n * Return a copy of the uuid\n */\n get uuid(){\n return this._uuid.slice();\n }\n\n\n /**\n * Set a metadata using a pair of key and value.\n * @param {String} key - the ID of the metadata\n * @param {Object} value - can be a string, Number or Object\n */\n setMetadata( key, value ){\n if(typeof key === 'string' || key instanceof String){\n this._metadata[ key ] = value;\n }else{\n console.warn(\"The given key must be a String Object.\");\n }\n\n }\n\n\n /**\n * Retrieve a metadata using a key.\n * @param {String} key - the ID of the metadata\n * @return {Object} the metadata object - or null if non existent\n */\n getMetadata( key ){\n if( key in this._metadata){\n return this._metadata[ key ];\n }else{\n console.warn(\"The metadata with key: \" + key + \" doe not exist.\");\n return null;\n }\n }\n\n\n\n\n}\n\nexport { PixpipeObject }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n/**\n* A Pipeline instance handles a cascade of filter when an input dataset is updated.\n* Using a Pipeline object is not mandatory and can be replaced by calling `update()`.\n*/\nclass Pipeline extends PixpipeObject {\n\n constructor(){\n super();\n this._type = Filter.TYPE();\n\n // a list of filters\n this._filters = [];\n\n this._isUpdated = false;\n }\n\n\n /**\n * Hardcode the datatype\n */\n static TYPE(){\n return \"PIPELINE\";\n }\n\n\n /**\n * Add a filter to the pipeline.\n *\n */\n addFilter( f ){\n this._filters.push( f );\n }\n\n\n /**\n *\n */\n update(forceAll = false){\n\n if( forceAll ){\n this._forceUpdateAll();\n }else{\n\n }\n\n this._isUpdated = true;\n }\n\n\n /**\n * Run an update on every single filter\n */\n _forceUpdateAll(){\n for(var f=0; f 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n /**\n * Associate a Pipeline instance to this image. Not supposed to be called manually\n * because it is automatically called-back when adding a filter to a pipeline.\n * @param {Pipeline} p - Pipeline object.\n */\n setPipeline( p ){\n // only if not already set.\n if(!this._pipeline){\n this._pipeline = p;\n }\n }\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p - FroEqch pixel, gradient + For each pixel gradient diff --git a/src/core/Filter.js b/src/core/Filter.js index 50512fd..7ea8817 100644 --- a/src/core/Filter.js +++ b/src/core/Filter.js @@ -5,8 +5,8 @@ * Lab MCIN - Montreal Neurological Institute */ -import { PixpipeObject } from './PixpipeObject.js'; -import { Pipeline } from './Pipeline.js'; +import { PipelineElement } from './PipelineElement.js'; +//import { Pipeline } from './Pipeline.js'; /** @@ -17,7 +17,7 @@ import { Pipeline } from './Pipeline.js'; * Every input and output can be arranged by category, so that internaly, a filter * can use and output diferent kind of data. */ -class Filter extends PixpipeObject { +class Filter extends PipelineElement { constructor(){ super(); @@ -37,7 +37,7 @@ class Filter extends PixpipeObject { }; // pipeline associated with this filter. Not mandatory. - this._pipeline = null; + //this._pipeline = null; } @@ -91,25 +91,15 @@ class Filter extends PixpipeObject { /** * [PRIVATE] - * should noly be used by the class that inherit Filter. - * This is just a wraper to not access the raw _output object. - * @param {Image2D} imageObject - instance of an image + * Internal way to setup an output for this filter. Acts like a singleton in a sens + * that if an output of a given category was already Initialized, it returns it. + * If no input was Initialized, it creates one. Then we are sure the pointer of the + * output remain the same and does not break the pipeline. + * @param {type} dataType - type of object, i.e. Image2D (this is NOT a String!) * @param {Number} category - in case we want to get data from different categories. + * @returns {Object} of given type. */ - _setOutput( data, category=0 ){ - // the category may not exist, we create it - if( !(category in this._output) ){ - this._output[category] = null; - } - - this._output[category] = data ; - } - - - /** - * Workaround to - */ - _setOutput2( dataType, category=0 ){ + _setOutput( dataType, category=0 ){ var outputObject = null; // the category may not exist, we create it @@ -121,8 +111,6 @@ class Filter extends PixpipeObject { outputObject = this._output[category]; } - - return outputObject; } @@ -220,6 +208,7 @@ class Filter extends PixpipeObject { * @param {Pipeline} p - Pipeline object. */ setPipeline( p ){ + /* // only if not already set. if(!this._pipeline){ this._pipeline = p; @@ -232,6 +221,14 @@ class Filter extends PixpipeObject { }); } + */ + super.setPipeline( p ); + + var inputCategories = Object.keys( this._inputValidator ); + inputCategories.forEach( function(key){ + widths.push( that._getInput( key ).setPipeline( p ) ); + }); + } diff --git a/src/core/Image2D.js b/src/core/Image2D.js index a81b024..b0e0a64 100644 --- a/src/core/Image2D.js +++ b/src/core/Image2D.js @@ -5,15 +5,14 @@ * Lab MCIN - Montreal Neurological Institute */ -import { PixpipeObject } from './PixpipeObject.js'; -import { Pipeline } from './Pipeline.js'; +import { PipelineElement } from './PipelineElement.js'; /** * Image2D class is one of the few base element of Pixpipejs. * It is always considered to be 4 channels (RGBA) and stored as a Float32Array * typed array. */ -class Image2D extends PixpipeObject{ +class Image2D extends PipelineElement{ /** @@ -218,17 +217,7 @@ class Image2D extends PixpipeObject{ } - /** - * Associate a Pipeline instance to this image. Not supposed to be called manually - * because it is automatically called-back when adding a filter to a pipeline. - * @param {Pipeline} p - Pipeline object. - */ - setPipeline( p ){ - // only if not already set. - if(!this._pipeline){ - this._pipeline = p; - } - } + // TODO: warn the pipeline if metadata changed or pixel value changed // --> do NOT update the pipeline at every modif because if we change a lot diff --git a/src/core/PipelineElement.js b/src/core/PipelineElement.js new file mode 100644 index 0000000..96cdf22 --- /dev/null +++ b/src/core/PipelineElement.js @@ -0,0 +1,45 @@ +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + +import { PixpipeObject } from './PixpipeObject.js'; + + +class PipelineElement extends PixpipeObject { + + constructor(){ + super(); + + this._pipeline = null; + this._type = PipelineElement.TYPE(); + } + + + /** + * Acces it like a static attribute. + * Must be overloaded. + */ + static TYPE(){ + return "PIPELINE_ELEMENT"; + } + + + /** + * Associate a Pipeline instance to this image. Not supposed to be called manually + * because it is automatically called-back when adding a filter to a pipeline. + * @param {Pipeline} p - Pipeline object. + */ + setPipeline( p ){ + // only if not already set. + if(!this._pipeline){ + this._pipeline = p; + } + } + + +} /* ENDS class PipelineElement */ + +export { PipelineElement } diff --git a/src/core/PixpipeObject.js b/src/core/PixpipeObject.js index 8510e35..b0394cb 100644 --- a/src/core/PixpipeObject.js +++ b/src/core/PixpipeObject.js @@ -5,6 +5,7 @@ * Lab MCIN - Montreal Neurological Institute */ + /** * PixpipeObject is the base object of all. It creates a uuid and has few * generic attributes like type, name and description. Not all these attributes @@ -23,6 +24,8 @@ class PixpipeObject { // everything that is not an input but rather a setting this._metadata = {}; + this._pipeline = null; + this._type = PixpipeObject.TYPE(); } @@ -92,7 +95,6 @@ class PixpipeObject { - } export { PixpipeObject } diff --git a/src/filter/ForEachPixelImageFilter.js b/src/filter/ForEachPixelImageFilter.js index 68cf2f6..1a02874 100644 --- a/src/filter/ForEachPixelImageFilter.js +++ b/src/filter/ForEachPixelImageFilter.js @@ -58,24 +58,10 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { this._forEachPixelOfSuch(firstPixel, lastPixel, increment ); - // TODO : find a way NOT to replace the ouput pointer so that the following - // filter can use the same object when refreshed by the pipeline - /* - // maybe using this kind of thing: - var anObjType = Image2D; - var im = new anObjType(); - console.log(im); - */ + // 1 - init the output + var outputImg = this._setOutput( Image2D ); - /* - // building the output - var img2D = new Image2D(); - img2D.setData( this._inputBuffer, inputImage2D.getWidth(), inputImage2D.getHeight(), inputImage2D.getComponentsPerPixel()); - this._setOutput( img2D ); - */ - - var outputImg = this._setOutput2( Image2D ); - console.log(outputImg); + // 2 - tune the output outputImg.setData( this._inputBuffer, inputImage2D.getWidth(), diff --git a/src/filter/SpectralScaleImageFilter.js b/src/filter/SpectralScaleImageFilter.js index 2e7c95e..f3a7418 100644 --- a/src/filter/SpectralScaleImageFilter.js +++ b/src/filter/SpectralScaleImageFilter.js @@ -60,10 +60,13 @@ class SpectralScaleImageFilter extends ImageToImageFilter { } // building the output - var img2D = new Image2D(); - img2D.setData( data0, dataImg0.getWidth(), dataImg0.getHeight()); - this._setOutput( img2D ); - + var img2D = this._setOutput( Image2D ); + img2D.setData( + data0, + dataImg0.getWidth(), + dataImg0.getHeight() + ); + } diff --git a/src/io/UrlImageReader.js b/src/io/UrlImageReader.js index f0cfec1..9893850 100644 --- a/src/io/UrlImageReader.js +++ b/src/io/UrlImageReader.js @@ -56,9 +56,8 @@ class UrlImageReader extends Filter { try{ var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); var dataArray = imageData.data; - var img2D = new Image2D(); + var img2D = that._setOutput( Image2D ); img2D.setData( dataArray, img.width, img.height); - that._setOutput( img2D ); if("imageLoaded" in that._events){ that._events.imageLoaded( that ) diff --git a/src/pixpipe.js b/src/pixpipe.js index 66b0565..480be4b 100644 --- a/src/pixpipe.js +++ b/src/pixpipe.js @@ -4,6 +4,8 @@ // core classes export { PixpipeObject } from './core/PixpipeObject.js'; +export { PipelineElement } from './core/PipelineElement.js'; +export { Pipeline } from './core/Pipeline.js'; export { Filter } from './core/Filter.js'; export { Image2D } from './core/Image2D.js'; export { ImageToImageFilter } from './core/ImageToImageFilter.js'; From 7b5c431551401e37314710d5e41ab3ced7390d99 Mon Sep 17 00:00:00 2001 From: Jonathan Lurie Date: Wed, 15 Mar 2017 17:23:38 -0400 Subject: [PATCH 7/9] ADD the blending filter --- dist/pixpipe.js | 1630 ++++++++++++++++++- dist/pixpipe.js.map | 2 +- examples/forEachPixelGradientBlend.html | 103 ++ examples/forEachPixelGradient_pipeline.html | 110 ++ src/core/Filter.js | 95 +- src/core/ImageToImageFilter.js | 59 + src/core/Pipeline.js | 21 +- src/core/PixpipeObject.js | 9 + src/filter/ForEachPixelImageFilter.js | 4 +- src/filter/ImageBlendExpressionFilter.js | 70 +- src/filter/SpectralScaleImageFilter.js | 6 +- src/io/CanvasImageWriter.js | 1 + src/io/UrlImageReader.js | 5 +- src/pixpipe.js | 3 +- 14 files changed, 1995 insertions(+), 123 deletions(-) create mode 100644 examples/forEachPixelGradientBlend.html create mode 100644 examples/forEachPixelGradient_pipeline.html diff --git a/dist/pixpipe.js b/dist/pixpipe.js index bbb562c..3e954d2 100644 --- a/dist/pixpipe.js +++ b/dist/pixpipe.js @@ -100,6 +100,15 @@ class PixpipeObject { } + /** + * Check if the metadata with the given key exists. + * @param {String} key - the key to look up in the metadata collection + * @return {Boolean} true if the metadata with the given is present, false if not. + */ + hasMetadata( key ){ + return (key in this._metadata); + } + } @@ -159,7 +168,7 @@ class Pipeline extends PixpipeObject { constructor(){ super(); - this._type = Filter.TYPE(); + this._type = Pipeline.TYPE(); // a list of filters this._filters = []; @@ -182,13 +191,14 @@ class Pipeline extends PixpipeObject { */ addFilter( f ){ this._filters.push( f ); + console.log("Filter " + f.constructor.name + " added to the pipeline."); } /** * */ - update(forceAll = false){ + update(forceAll = true){ if( forceAll ){ this._forceUpdateAll(); @@ -204,13 +214,25 @@ class Pipeline extends PixpipeObject { * Run an update on every single filter */ _forceUpdateAll(){ + console.log(this._filters); for(var f=0; f 1) { + n2 = nstack.pop(); + n1 = nstack.pop(); + f = binaryOps[item.value]; + item = new Instruction(INUMBER, f(n1.value, n2.value)); + nstack.push(item); + } else if (type === IOP3 && nstack.length > 2) { + n3 = nstack.pop(); + n2 = nstack.pop(); + n1 = nstack.pop(); + if (item.value === '?') { + nstack.push(n1.value ? n2.value : n3.value); + } else { + f = ternaryOps[item.value]; + item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value)); + nstack.push(item); + } + } else if (type === IOP1 && nstack.length > 0) { + n1 = nstack.pop(); + f = unaryOps[item.value]; + item = new Instruction(INUMBER, f(n1.value)); + nstack.push(item); + } else if (type === IEXPR) { + while (nstack.length > 0) { + newexpression.push(nstack.shift()); + } + newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values))); + } else if (type === IMEMBER && nstack.length > 0) { + n1 = nstack.pop(); + nstack.push(new Instruction(INUMBER, n1.value[item.value])); + } else { + while (nstack.length > 0) { + newexpression.push(nstack.shift()); + } + newexpression.push(item); + } + } + while (nstack.length > 0) { + newexpression.push(nstack.shift()); + } + return newexpression; +} + +Expression.prototype.simplify = function (values) { + values = values || {}; + return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser); +}; + +function substitute(tokens, variable, expr) { + var newexpression = []; + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + var type = item.type; + if (type === IVAR && item.value === variable) { + for (var j = 0; j < expr.tokens.length; j++) { + var expritem = expr.tokens[j]; + var replitem; + if (expritem.type === IOP1) { + replitem = unaryInstruction(expritem.value); + } else if (expritem.type === IOP2) { + replitem = binaryInstruction(expritem.value); + } else if (expritem.type === IOP3) { + replitem = ternaryInstruction(expritem.value); + } else { + replitem = new Instruction(expritem.type, expritem.value); + } + newexpression.push(replitem); + } + } else if (type === IEXPR) { + newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr))); + } else { + newexpression.push(item); + } + } + return newexpression; +} + +Expression.prototype.substitute = function (variable, expr) { + if (!(expr instanceof Expression)) { + expr = this.parser.parse(String(expr)); + } + + return new Expression(substitute(this.tokens, variable, expr), this.parser); +}; + +function evaluate(tokens, expr, values) { + var nstack = []; + var n1, n2, n3; + var f; + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + var type = item.type; + if (type === INUMBER) { + nstack.push(item.value); + } else if (type === IOP2) { + n2 = nstack.pop(); + n1 = nstack.pop(); + f = expr.binaryOps[item.value]; + nstack.push(f(n1, n2)); + } else if (type === IOP3) { + n3 = nstack.pop(); + n2 = nstack.pop(); + n1 = nstack.pop(); + if (item.value === '?') { + nstack.push(evaluate(n1 ? n2 : n3, expr, values)); + } else { + f = expr.ternaryOps[item.value]; + nstack.push(f(n1, n2, n3)); + } + } else if (type === IVAR) { + if (item.value in expr.functions) { + nstack.push(expr.functions[item.value]); + } else { + var v = values[item.value]; + if (v !== undefined) { + nstack.push(v); + } else { + throw new Error('undefined variable: ' + item.value); + } + } + } else if (type === IOP1) { + n1 = nstack.pop(); + f = expr.unaryOps[item.value]; + nstack.push(f(n1)); + } else if (type === IFUNCALL) { + var argCount = item.value; + var args = []; + while (argCount-- > 0) { + args.unshift(nstack.pop()); + } + f = nstack.pop(); + if (f.apply && f.call) { + nstack.push(f.apply(undefined, args)); + } else { + throw new Error(f + ' is not a function'); + } + } else if (type === IEXPR) { + nstack.push(item.value); + } else if (type === IMEMBER) { + n1 = nstack.pop(); + nstack.push(n1[item.value]); + } else { + throw new Error('invalid Expression'); + } + } + if (nstack.length > 1) { + throw new Error('invalid Expression (parity)'); + } + return nstack[0]; +} + +Expression.prototype.evaluate = function (values) { + values = values || {}; + return evaluate(this.tokens, this, values); +}; + +function expressionToString(tokens, toJS) { + var nstack = []; + var n1, n2, n3; + var f; + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + var type = item.type; + if (type === INUMBER) { + if (typeof item.value === 'number' && item.value < 0) { + nstack.push('(' + item.value + ')'); + } else { + nstack.push(escapeValue(item.value)); + } + } else if (type === IOP2) { + n2 = nstack.pop(); + n1 = nstack.pop(); + f = item.value; + if (toJS) { + if (f === '^') { + nstack.push('Math.pow(' + n1 + ', ' + n2 + ')'); + } else if (f === 'and') { + nstack.push('(!!' + n1 + ' && !!' + n2 + ')'); + } else if (f === 'or') { + nstack.push('(!!' + n1 + ' || !!' + n2 + ')'); + } else if (f === '||') { + nstack.push('(String(' + n1 + ') + String(' + n2 + '))'); + } else if (f === '==') { + nstack.push('(' + n1 + ' === ' + n2 + ')'); + } else if (f === '!=') { + nstack.push('(' + n1 + ' !== ' + n2 + ')'); + } else { + nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')'); + } + } else { + nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')'); + } + } else if (type === IOP3) { + n3 = nstack.pop(); + n2 = nstack.pop(); + n1 = nstack.pop(); + f = item.value; + if (f === '?') { + nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')'); + } else { + throw new Error('invalid Expression'); + } + } else if (type === IVAR) { + nstack.push(item.value); + } else if (type === IOP1) { + n1 = nstack.pop(); + f = item.value; + if (f === '-' || f === '+') { + nstack.push('(' + f + n1 + ')'); + } else if (toJS) { + if (f === 'not') { + nstack.push('(' + '!' + n1 + ')'); + } else if (f === '!') { + nstack.push('fac(' + n1 + ')'); + } else { + nstack.push(f + '(' + n1 + ')'); + } + } else if (f === '!') { + nstack.push('(' + n1 + '!)'); + } else { + nstack.push('(' + f + ' ' + n1 + ')'); + } + } else if (type === IFUNCALL) { + var argCount = item.value; + var args = []; + while (argCount-- > 0) { + args.unshift(nstack.pop()); + } + f = nstack.pop(); + nstack.push(f + '(' + args.join(', ') + ')'); + } else if (type === IMEMBER) { + n1 = nstack.pop(); + nstack.push(n1 + '.' + item.value); + } else if (type === IEXPR) { + nstack.push('(' + expressionToString(item.value, toJS) + ')'); + } else { + throw new Error('invalid Expression'); + } + } + if (nstack.length > 1) { + throw new Error('invalid Expression (parity)'); + } + return nstack[0]; +} + +Expression.prototype.toString = function () { + return expressionToString(this.tokens, false); +}; + +function getSymbols(tokens, symbols) { + for (var i = 0, L = tokens.length; i < L; i++) { + var item = tokens[i]; + if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) { + symbols.push(item.value); + } else if (item.type === IEXPR) { + getSymbols(item.value, symbols); + } + } +} + +Expression.prototype.symbols = function () { + var vars = []; + getSymbols(this.tokens, vars); + return vars; +}; + +Expression.prototype.variables = function () { + var vars = []; + getSymbols(this.tokens, vars); + var functions = this.functions; + return vars.filter(function (name) { + return !(name in functions); + }); +}; + +Expression.prototype.toJSFunction = function (param, variables) { + var expr = this; + var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func + return function () { + return f.apply(expr, arguments); + }; +}; + +function add(a, b) { + return Number(a) + Number(b); +} +function sub(a, b) { + return a - b; +} +function mul(a, b) { + return a * b; +} +function div(a, b) { + return a / b; +} +function mod(a, b) { + return a % b; +} +function concat(a, b) { + return '' + a + b; +} +function equal(a, b) { + return a === b; +} +function notEqual(a, b) { + return a !== b; +} +function greaterThan(a, b) { + return a > b; +} +function lessThan(a, b) { + return a < b; +} +function greaterThanEqual(a, b) { + return a >= b; +} +function lessThanEqual(a, b) { + return a <= b; +} +function andOperator(a, b) { + return Boolean(a && b); +} +function orOperator(a, b) { + return Boolean(a || b); +} +function sinh(a) { + return ((Math.exp(a) - Math.exp(-a)) / 2); +} +function cosh(a) { + return ((Math.exp(a) + Math.exp(-a)) / 2); +} +function tanh(a) { + if (a === Infinity) return 1; + if (a === -Infinity) return -1; + return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a)); +} +function asinh(a) { + if (a === -Infinity) return a; + return Math.log(a + Math.sqrt(a * a + 1)); +} +function acosh(a) { + return Math.log(a + Math.sqrt(a * a - 1)); +} +function atanh(a) { + return (Math.log((1 + a) / (1 - a)) / 2); +} +function log10(a) { + return Math.log(a) * Math.LOG10E; +} +function neg(a) { + return -a; +} +function not(a) { + return !a; +} +function trunc(a) { + return a < 0 ? Math.ceil(a) : Math.floor(a); +} +function random(a) { + return Math.random() * (a || 1); +} +function factorial(a) { // a! + return gamma(a + 1); +} +function stringLength(s) { + return String(s).length; +} + +function hypot() { + var sum = 0; + var larg = 0; + for (var i = 0, L = arguments.length; i < L; i++) { + var arg = Math.abs(arguments[i]); + var div; + if (larg < arg) { + div = larg / arg; + sum = sum * div * div + 1; + larg = arg; + } else if (arg > 0) { + div = arg / larg; + sum += div * div; + } else { + sum += arg; + } + } + return larg === Infinity ? Infinity : larg * Math.sqrt(sum); +} + +function condition(cond, yep, nope) { + return cond ? yep : nope; +} + +function isInteger(value) { + return isFinite(value) && (value === Math.round(value)); +} + +var GAMMA_G = 4.7421875; +var GAMMA_P = [ + 0.99999999999999709182, + 57.156235665862923517, -59.597960355475491248, + 14.136097974741747174, -0.49191381609762019978, + 0.33994649984811888699e-4, + 0.46523628927048575665e-4, -0.98374475304879564677e-4, + 0.15808870322491248884e-3, -0.21026444172410488319e-3, + 0.21743961811521264320e-3, -0.16431810653676389022e-3, + 0.84418223983852743293e-4, -0.26190838401581408670e-4, + 0.36899182659531622704e-5 +]; + +// Gamma function from math.js +function gamma(n) { + var t, x; + + if (isInteger(n)) { + if (n <= 0) { + return isFinite(n) ? Infinity : NaN; + } + + if (n > 171) { + return Infinity; // Will overflow + } + + var value = n - 2; + var res = n - 1; + while (value > 1) { + res *= value; + value--; + } + + if (res === 0) { + res = 1; // 0! is per definition 1 + } + + return res; + } + + if (n < 0.5) { + return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n)); + } + + if (n >= 171.35) { + return Infinity; // will overflow + } + + if (n > 85.0) { // Extended Stirling Approx + var twoN = n * n; + var threeN = twoN * n; + var fourN = threeN * n; + var fiveN = fourN * n; + return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) * + (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) - + 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) + + 5246819 / (75246796800 * fiveN * n)); + } + + --n; + x = GAMMA_P[0]; + for (var i = 1; i < GAMMA_P.length; ++i) { + x += GAMMA_P[i] / (n + i); + } + + t = n + GAMMA_G + 0.5; + return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x; +} + +var TEOF = 'TEOF'; +var TOP = 'TOP'; +var TNUMBER = 'TNUMBER'; +var TSTRING = 'TSTRING'; +var TPAREN = 'TPAREN'; +var TCOMMA = 'TCOMMA'; +var TNAME = 'TNAME'; + +function Token(type, value, line, column) { + this.type = type; + this.value = value; + this.line = line; + this.column = column; +} + +Token.prototype.toString = function () { + return this.type + ': ' + this.value; +}; + +function TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) { + this.pos = 0; + this.line = 0; + this.column = 0; + this.current = null; + this.unaryOps = unaryOps; + this.binaryOps = binaryOps; + this.ternaryOps = ternaryOps; + this.consts = consts; + this.expression = expression; + this.savedPosition = 0; + this.savedCurrent = null; + this.savedLine = 0; + this.savedColumn = 0; +} + +TokenStream.prototype.newToken = function (type, value, line, column) { + return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column); +}; + +TokenStream.prototype.save = function () { + this.savedPosition = this.pos; + this.savedCurrent = this.current; + this.savedLine = this.line; + this.savedColumn = this.column; +}; + +TokenStream.prototype.restore = function () { + this.pos = this.savedPosition; + this.current = this.savedCurrent; + this.line = this.savedLine; + this.column = this.savedColumn; +}; + +TokenStream.prototype.next = function () { + if (this.pos >= this.expression.length) { + return this.newToken(TEOF, 'EOF'); + } + + if (this.isWhitespace() || this.isComment()) { + return this.next(); + } else if (this.isNumber() || + this.isOperator() || + this.isString() || + this.isParen() || + this.isComma() || + this.isNamedOp() || + this.isConst() || + this.isName()) { + return this.current; + } else { + this.parseError('Unknown character "' + this.expression.charAt(this.pos) + '"'); + } +}; + +TokenStream.prototype.isString = function () { + var r = false; + var startLine = this.line; + var startColumn = this.column; + var startPos = this.pos; + var quote = this.expression.charAt(startPos); + + if (quote === '\'' || quote === '"') { + this.pos++; + this.column++; + var index = this.expression.indexOf(quote, startPos + 1); + while (index >= 0 && this.pos < this.expression.length) { + this.pos = index + 1; + if (this.expression.charAt(index - 1) !== '\\') { + var rawString = this.expression.substring(startPos + 1, index); + this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn); + var newLine = rawString.indexOf('\n'); + var lastNewline = -1; + while (newLine >= 0) { + this.line++; + this.column = 0; + lastNewline = newLine; + newLine = rawString.indexOf('\n', newLine + 1); + } + this.column += rawString.length - lastNewline; + r = true; + break; + } + index = this.expression.indexOf(quote, index + 1); + } + } + return r; +}; + +TokenStream.prototype.isParen = function () { + var char = this.expression.charAt(this.pos); + if (char === '(' || char === ')') { + this.current = this.newToken(TPAREN, char); + this.pos++; + this.column++; + return true; + } + return false; +}; + +TokenStream.prototype.isComma = function () { + var char = this.expression.charAt(this.pos); + if (char === ',') { + this.current = this.newToken(TCOMMA, ','); + this.pos++; + this.column++; + return true; + } + return false; +}; + +TokenStream.prototype.isConst = function () { + var startPos = this.pos; + var i = startPos; + for (; i < this.expression.length; i++) { + var c = this.expression.charAt(i); + if (c.toUpperCase() === c.toLowerCase()) { + if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) { + break; + } + } + } + if (i > startPos) { + var str = this.expression.substring(startPos, i); + if (str in this.consts) { + this.current = this.newToken(TNUMBER, this.consts[str]); + this.pos += str.length; + this.column += str.length; + return true; + } + } + return false; +}; + +TokenStream.prototype.isNamedOp = function () { + var startPos = this.pos; + var i = startPos; + for (; i < this.expression.length; i++) { + var c = this.expression.charAt(i); + if (c.toUpperCase() === c.toLowerCase()) { + if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) { + break; + } + } + } + if (i > startPos) { + var str = this.expression.substring(startPos, i); + if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) { + this.current = this.newToken(TOP, str); + this.pos += str.length; + this.column += str.length; + return true; + } + } + return false; +}; + +TokenStream.prototype.isName = function () { + var startPos = this.pos; + var i = startPos; + for (; i < this.expression.length; i++) { + var c = this.expression.charAt(i); + if (c.toUpperCase() === c.toLowerCase()) { + if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) { + break; + } + } + } + if (i > startPos) { + var str = this.expression.substring(startPos, i); + this.current = this.newToken(TNAME, str); + this.pos += str.length; + this.column += str.length; + return true; + } + return false; +}; + +TokenStream.prototype.isWhitespace = function () { + var r = false; + var char = this.expression.charAt(this.pos); + while (char === ' ' || char === '\t' || char === '\n' || char === '\r') { + r = true; + this.pos++; + this.column++; + if (char === '\n') { + this.line++; + this.column = 0; + } + if (this.pos >= this.expression.length) { + break; + } + char = this.expression.charAt(this.pos); + } + return r; +}; + +var codePointPattern = /^[0-9a-f]{4}$/i; + +TokenStream.prototype.unescape = function (v) { + var index = v.indexOf('\\'); + if (index < 0) { + return v; + } + + var buffer = v.substring(0, index); + while (index >= 0) { + var c = v.charAt(++index); + switch (c) { + case '\'': + buffer += '\''; + break; + case '"': + buffer += '"'; + break; + case '\\': + buffer += '\\'; + break; + case '/': + buffer += '/'; + break; + case 'b': + buffer += '\b'; + break; + case 'f': + buffer += '\f'; + break; + case 'n': + buffer += '\n'; + break; + case 'r': + buffer += '\r'; + break; + case 't': + buffer += '\t'; + break; + case 'u': + // interpret the following 4 characters as the hex of the unicode code point + var codePoint = v.substring(index + 1, index + 5); + if (!codePointPattern.test(codePoint)) { + this.parseError('Illegal escape sequence: \\u' + codePoint); + } + buffer += String.fromCharCode(parseInt(codePoint, 16)); + index += 4; + break; + default: + throw this.parseError('Illegal escape sequence: "\\' + c + '"'); + } + ++index; + var backslash = v.indexOf('\\', index); + buffer += v.substring(index, backslash < 0 ? v.length : backslash); + index = backslash; + } + + return buffer; +}; + +TokenStream.prototype.isComment = function () { + var char = this.expression.charAt(this.pos); + if (char === '/' && this.expression.charAt(this.pos + 1) === '*') { + var startPos = this.pos; + this.pos = this.expression.indexOf('*/', this.pos) + 2; + if (this.pos === 1) { + this.pos = this.expression.length; + } + var comment = this.expression.substring(startPos, this.pos); + var newline = comment.indexOf('\n'); + while (newline >= 0) { + this.line++; + this.column = comment.length - newline; + newline = comment.indexOf('\n', newline + 1); + } + return true; + } + return false; +}; + +TokenStream.prototype.isNumber = function () { + var valid = false; + var pos = this.pos; + var startPos = pos; + var resetPos = pos; + var column = this.column; + var resetColumn = column; + var foundDot = false; + var foundDigits = false; + var char; + + while (pos < this.expression.length) { + char = this.expression.charAt(pos); + if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) { + if (char === '.') { + foundDot = true; + } else { + foundDigits = true; + } + pos++; + column++; + valid = foundDigits; + } else { + break; + } + } + + if (valid) { + resetPos = pos; + resetColumn = column; + } + + if (char === 'e' || char === 'E') { + pos++; + column++; + var acceptSign = true; + var validExponent = false; + while (pos < this.expression.length) { + char = this.expression.charAt(pos); + if (acceptSign && (char === '+' || char === '-')) { + acceptSign = false; + } else if (char >= '0' && char <= '9') { + validExponent = true; + acceptSign = false; + } else { + break; + } + pos++; + column++; + } + + if (!validExponent) { + pos = resetPos; + column = resetColumn; + } + } + + if (valid) { + this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos))); + this.pos = pos; + this.column = column; + } else { + this.pos = resetPos; + this.column = resetColumn; + } + return valid; +}; + +TokenStream.prototype.isOperator = function () { + var char = this.expression.charAt(this.pos); + + if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') { + this.current = this.newToken(TOP, char); + } else if (char === '∙' || char === '•') { + this.current = this.newToken(TOP, '*'); + } else if (char === '>') { + if (this.expression.charAt(this.pos + 1) === '=') { + this.current = this.newToken(TOP, '>='); + this.pos++; + this.column++; + } else { + this.current = this.newToken(TOP, '>'); + } + } else if (char === '<') { + if (this.expression.charAt(this.pos + 1) === '=') { + this.current = this.newToken(TOP, '<='); + this.pos++; + this.column++; + } else { + this.current = this.newToken(TOP, '<'); + } + } else if (char === '|') { + if (this.expression.charAt(this.pos + 1) === '|') { + this.current = this.newToken(TOP, '||'); + this.pos++; + this.column++; + } else { + return false; + } + } else if (char === '=') { + if (this.expression.charAt(this.pos + 1) === '=') { + this.current = this.newToken(TOP, '=='); + this.pos++; + this.column++; + } else { + return false; + } + } else if (char === '!') { + if (this.expression.charAt(this.pos + 1) === '=') { + this.current = this.newToken(TOP, '!='); + this.pos++; + this.column++; + } else { + this.current = this.newToken(TOP, char); + } + } else { + return false; + } + this.pos++; + this.column++; + return true; +}; + +TokenStream.prototype.parseError = function (msg) { + throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg); +}; + +var unaryInstructionCache = {}; +function unaryInstruction(value) { + var inst = unaryInstructionCache[value]; + if (!inst) { + inst = unaryInstructionCache[value] = new Instruction(IOP1, value); + } + return inst; +} + +var binaryInstructionCache = {}; +function binaryInstruction(value) { + var inst = binaryInstructionCache[value]; + if (!inst) { + inst = binaryInstructionCache[value] = new Instruction(IOP2, value); + } + return inst; +} + +var ternaryInstructionCache = {}; +function ternaryInstruction(value) { + var inst = ternaryInstructionCache[value]; + if (!inst) { + inst = ternaryInstructionCache[value] = new Instruction(IOP3, value); + } + return inst; +} + +function ParserState(parser, tokenStream) { + this.parser = parser; + this.tokens = tokenStream; + this.current = null; + this.nextToken = null; + this.next(); + this.savedCurrent = null; + this.savedNextToken = null; +} + +ParserState.prototype.next = function () { + this.current = this.nextToken; + return (this.nextToken = this.tokens.next()); +}; + +ParserState.prototype.tokenMatches = function (token, value) { + if (typeof value === 'undefined') { + return true; + } else if (Array.isArray(value)) { + return indexOf(value, token.value) >= 0; + } else if (typeof value === 'function') { + return value(token); + } else { + return token.value === value; + } +}; + +ParserState.prototype.save = function () { + this.savedCurrent = this.current; + this.savedNextToken = this.nextToken; + this.tokens.save(); +}; + +ParserState.prototype.restore = function () { + this.tokens.restore(); + this.current = this.savedCurrent; + this.nextToken = this.savedNextToken; +}; + +ParserState.prototype.accept = function (type, value) { + if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) { + this.next(); + return true; + } + return false; +}; + +ParserState.prototype.expect = function (type, value) { + if (!this.accept(type, value)) { + throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type)); + } +}; + +ParserState.prototype.parseAtom = function (instr) { + if (this.accept(TNAME)) { + instr.push(new Instruction(IVAR, this.current.value)); + } else if (this.accept(TNUMBER)) { + instr.push(new Instruction(INUMBER, this.current.value)); + } else if (this.accept(TSTRING)) { + instr.push(new Instruction(INUMBER, this.current.value)); + } else if (this.accept(TPAREN, '(')) { + this.parseExpression(instr); + this.expect(TPAREN, ')'); + } else { + throw new Error('unexpected ' + this.nextToken); + } +}; + +ParserState.prototype.parseExpression = function (instr) { + this.parseConditionalExpression(instr); +}; + +ParserState.prototype.parseConditionalExpression = function (instr) { + this.parseOrExpression(instr); + while (this.accept(TOP, '?')) { + var trueBranch = []; + var falseBranch = []; + this.parseConditionalExpression(trueBranch); + this.expect(TOP, ':'); + this.parseConditionalExpression(falseBranch); + instr.push(new Instruction(IEXPR, trueBranch)); + instr.push(new Instruction(IEXPR, falseBranch)); + instr.push(ternaryInstruction('?')); + } +}; + +ParserState.prototype.parseOrExpression = function (instr) { + this.parseAndExpression(instr); + while (this.accept(TOP, 'or')) { + this.parseAndExpression(instr); + instr.push(binaryInstruction('or')); + } +}; + +ParserState.prototype.parseAndExpression = function (instr) { + this.parseComparison(instr); + while (this.accept(TOP, 'and')) { + this.parseComparison(instr); + instr.push(binaryInstruction('and')); + } +}; + +ParserState.prototype.parseComparison = function (instr) { + this.parseAddSub(instr); + while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) { + var op = this.current; + this.parseAddSub(instr); + instr.push(binaryInstruction(op.value)); + } +}; + +ParserState.prototype.parseAddSub = function (instr) { + this.parseTerm(instr); + while (this.accept(TOP, ['+', '-', '||'])) { + var op = this.current; + this.parseTerm(instr); + instr.push(binaryInstruction(op.value)); + } +}; + +ParserState.prototype.parseTerm = function (instr) { + this.parseFactor(instr); + while (this.accept(TOP, ['*', '/', '%'])) { + var op = this.current; + this.parseFactor(instr); + instr.push(binaryInstruction(op.value)); + } +}; + +ParserState.prototype.parseFactor = function (instr) { + var unaryOps = this.tokens.unaryOps; + function isPrefixOperator(token) { + return token.value in unaryOps; + } + + this.save(); + if (this.accept(TOP, isPrefixOperator)) { + if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) { + this.restore(); + this.parseExponential(instr); + } else { + var op = this.current; + this.parseFactor(instr); + instr.push(unaryInstruction(op.value)); + } + } else { + this.parseExponential(instr); + } +}; + +ParserState.prototype.parseExponential = function (instr) { + this.parsePostfixExpression(instr); + while (this.accept(TOP, '^')) { + this.parseFactor(instr); + instr.push(binaryInstruction('^')); + } +}; + +ParserState.prototype.parsePostfixExpression = function (instr) { + this.parseFunctionCall(instr); + while (this.accept(TOP, '!')) { + instr.push(unaryInstruction('!')); + } +}; + +ParserState.prototype.parseFunctionCall = function (instr) { + var unaryOps = this.tokens.unaryOps; + function isPrefixOperator(token) { + return token.value in unaryOps; + } + + if (this.accept(TOP, isPrefixOperator)) { + var op = this.current; + this.parseAtom(instr); + instr.push(unaryInstruction(op.value)); + } else { + this.parseMemberExpression(instr); + while (this.accept(TPAREN, '(')) { + if (this.accept(TPAREN, ')')) { + instr.push(new Instruction(IFUNCALL, 0)); + } else { + var argCount = this.parseArgumentList(instr); + instr.push(new Instruction(IFUNCALL, argCount)); + } + } + } +}; + +ParserState.prototype.parseArgumentList = function (instr) { + var argCount = 0; + + while (!this.accept(TPAREN, ')')) { + this.parseExpression(instr); + ++argCount; + while (this.accept(TCOMMA)) { + this.parseExpression(instr); + ++argCount; + } + } + + return argCount; +}; + +ParserState.prototype.parseMemberExpression = function (instr) { + this.parseAtom(instr); + while (this.accept(TOP, '.')) { + this.expect(TNAME); + instr.push(new Instruction(IMEMBER, this.current.value)); + } +}; + +function Parser() { + this.unaryOps = { + sin: Math.sin, + cos: Math.cos, + tan: Math.tan, + asin: Math.asin, + acos: Math.acos, + atan: Math.atan, + sinh: Math.sinh || sinh, + cosh: Math.cosh || cosh, + tanh: Math.tanh || tanh, + asinh: Math.asinh || asinh, + acosh: Math.acosh || acosh, + atanh: Math.atanh || atanh, + sqrt: Math.sqrt, + log: Math.log, + ln: Math.log, + lg: Math.log10 || log10, + log10: Math.log10 || log10, + abs: Math.abs, + ceil: Math.ceil, + floor: Math.floor, + round: Math.round, + trunc: Math.trunc || trunc, + '-': neg, + '+': Number, + exp: Math.exp, + not: not, + length: stringLength, + '!': factorial + }; + + this.binaryOps = { + '+': add, + '-': sub, + '*': mul, + '/': div, + '%': mod, + '^': Math.pow, + '||': concat, + '==': equal, + '!=': notEqual, + '>': greaterThan, + '<': lessThan, + '>=': greaterThanEqual, + '<=': lessThanEqual, + and: andOperator, + or: orOperator + }; + + this.ternaryOps = { + '?': condition + }; + + this.functions = { + random: random, + fac: factorial, + min: Math.min, + max: Math.max, + hypot: Math.hypot || hypot, + pyt: Math.hypot || hypot, // backward compat + pow: Math.pow, + atan2: Math.atan2, + 'if': condition, + gamma: gamma + }; + + this.consts = { + E: Math.E, + PI: Math.PI, + 'true': true, + 'false': false + }; +} + +Parser.parse = function (expr) { + return new Parser().parse(expr); +}; + +Parser.evaluate = function (expr, variables) { + return Parser.parse(expr).evaluate(variables); +}; + +Parser.prototype = { + parse: function (expr) { + var instr = []; + var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts)); + parserState.parseExpression(instr); + parserState.expect(TEOF, 'EOF'); + + return new Expression(instr, this); + }, + + evaluate: function (expr, variables) { + return this.parse(expr).evaluate(variables); + } +}; + +var parser = { + Parser: Parser, + Expression: Expression +}; + +return parser; + +}))); +}); + +/* +* Author Jonathan Lurie - http://me.jonahanlurie.fr +* License MIT +* Link https://github.com/jonathanlurie/pixpipejs +* Lab MCIN - Montreal Neurological Institute +*/ + + +/** +* An instance of ImageBlendExpressionFilter takes Image2D inputs, as many as +* we need as long as they have the same size and the same number of components +* per pixel. +* This filter blends images pixel values using a literal expression. This expression +* should be set using `setMetadata( "expresssion", "A * B" )` , where `A` and `B` +* are the categories set in input. +* +*/ +class ImageBlendExpressionFilter extends ImageToImageFilter { + + constructor(){ + super(); + this._addOutput( Image2D ); + + var parser = new bundle.Parser(); + var expr = parser.parse('2 * x + 1'); + console.log(expr.evaluate({ x: 3 })); // 7 + + // or + //Parser.evaluate('6 * x', { x: 7 }) // 42 + + } + + + + update(){ + + // the metadata was not set + if(!this.hasMetadata("expression")){ + console.warn("A filter of type ImageBlendExpressionFilter requires a blending expression.\nUse 'setMetadata(\"expression\", \"...\")' to set it." ); + return; + } + + if( !this.hasSameNcppInput() || !this.hasSameSizeInput() ){ + return; + } + + if(!this.getNumberOfInputs()){ + console.warn("A filter of type ImageBlendExpressionFilter requires at least one inpupt."); + return; + } + + var inputCategories = Object.keys( this._input ); + var firstInput = this._getInput( inputCategories[0] ); + var outputBuffer = firstInput.getDataCopy(); + var parser = new bundle.Parser(); + var expr = parser.parse( this.getMetadata("expression") ); + + for(var i=0; i 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n} /* END class ImageToImageFilter */\n\nexport { ImageToImageFilter }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { ImageToImageFilter } from './ImageToImageFilter.js';\n\n/**\n* PixelWiseImageFilter is not supposed to be use as is and is just to\n* be inherited by other filters.\n* This class does not overload the update() method.\n*/\nclass PixelWiseImageFilter extends ImageToImageFilter{\n\n constructor(){\n super();\n }\n\n\n /**\n * [PRIVATE]\n * generic function for painting row, colum or whole\n * @param {Number} firstPixel - Index of the first pixel in 1D array\n * @param {Number} lastPixel - Index of the last pixel in 1D array\n * @param {Number} increment - jump gap from a pixel to another (in a 1D style)\n */\n _forEachPixelOfSuch(firstPixel, lastPixel, increment ){\n // abort if no callback per pixel\n if( ! \"pixel\" in this._events){\n console.warn(\"No function to apply per pixel was specified.\");\n return;\n }\n\n var inputImage2D = this._getInput();\n var inputBuffer = this._inputBuffer;\n var componentPerPixel = inputImage2D.getComponentsPerPixel();\n\n var currentColor = null;\n\n for(var p=firstPixel; p 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n\n /**\n * Check if all input image have the same size.\n * @return {Boolean} true is same size, false if not.\n */\n hasSameSizeInput(){\n var that = this;\n var inputCategories = Object.keys( this._input );\n var sameSize = true;\n\n var widths = [];\n var heights = [];\n\n inputCategories.forEach( function(key){\n widths.push( that._getInput( key ).getWidth() );\n heights.push( that._getInput( key ).getHeight() );\n });\n\n // if all input have the same size\n if(widths.length){\n widths.sort();\n heights.sort();\n sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) &&\n (heights[ 0 ] == heights[ heights.length -1 ] );\n\n if( !sameSize ){\n console.warn(\"Input image do not all have the same size. Filter not valid\");\n }\n }\n\n return sameSize;\n }\n\n\n /**\n * Check if all the inputs have the same number of component per pixel.\n * @return {Boolean} true if the ncpp are the same for all input image\n */\n hasSameNcppInput(){\n var inputCategories = Object.keys( this._input );\n\n // if no input, return false\n if(!inputCategories.length)\n return false;\n\n var ncpp = this._getInput( inputCategories[0] ).getComponentsPerPixel();\n\n for(var i=0; i 1) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = binaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value));\n nstack.push(item);\n } else if (type === IOP3 && nstack.length > 2) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(n1.value ? n2.value : n3.value);\n } else {\n f = ternaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value));\n nstack.push(item);\n }\n } else if (type === IOP1 && nstack.length > 0) {\n n1 = nstack.pop();\n f = unaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value));\n nstack.push(item);\n } else if (type === IEXPR) {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values)));\n } else if (type === IMEMBER && nstack.length > 0) {\n n1 = nstack.pop();\n nstack.push(new Instruction(INUMBER, n1.value[item.value]));\n } else {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(item);\n }\n }\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n return newexpression;\n}\n\nExpression.prototype.simplify = function (values) {\n values = values || {};\n return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser);\n};\n\nfunction substitute(tokens, variable, expr) {\n var newexpression = [];\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === IVAR && item.value === variable) {\n for (var j = 0; j < expr.tokens.length; j++) {\n var expritem = expr.tokens[j];\n var replitem;\n if (expritem.type === IOP1) {\n replitem = unaryInstruction(expritem.value);\n } else if (expritem.type === IOP2) {\n replitem = binaryInstruction(expritem.value);\n } else if (expritem.type === IOP3) {\n replitem = ternaryInstruction(expritem.value);\n } else {\n replitem = new Instruction(expritem.type, expritem.value);\n }\n newexpression.push(replitem);\n }\n } else if (type === IEXPR) {\n newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr)));\n } else {\n newexpression.push(item);\n }\n }\n return newexpression;\n}\n\nExpression.prototype.substitute = function (variable, expr) {\n if (!(expr instanceof Expression)) {\n expr = this.parser.parse(String(expr));\n }\n\n return new Expression(substitute(this.tokens, variable, expr), this.parser);\n};\n\nfunction evaluate(tokens, expr, values) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n nstack.push(item.value);\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = expr.binaryOps[item.value];\n nstack.push(f(n1, n2));\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(evaluate(n1 ? n2 : n3, expr, values));\n } else {\n f = expr.ternaryOps[item.value];\n nstack.push(f(n1, n2, n3));\n }\n } else if (type === IVAR) {\n if (item.value in expr.functions) {\n nstack.push(expr.functions[item.value]);\n } else {\n var v = values[item.value];\n if (v !== undefined) {\n nstack.push(v);\n } else {\n throw new Error('undefined variable: ' + item.value);\n }\n }\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = expr.unaryOps[item.value];\n nstack.push(f(n1));\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n if (f.apply && f.call) {\n nstack.push(f.apply(undefined, args));\n } else {\n throw new Error(f + ' is not a function');\n }\n } else if (type === IEXPR) {\n nstack.push(item.value);\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1[item.value]);\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.evaluate = function (values) {\n values = values || {};\n return evaluate(this.tokens, this, values);\n};\n\nfunction expressionToString(tokens, toJS) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n if (typeof item.value === 'number' && item.value < 0) {\n nstack.push('(' + item.value + ')');\n } else {\n nstack.push(escapeValue(item.value));\n }\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (toJS) {\n if (f === '^') {\n nstack.push('Math.pow(' + n1 + ', ' + n2 + ')');\n } else if (f === 'and') {\n nstack.push('(!!' + n1 + ' && !!' + n2 + ')');\n } else if (f === 'or') {\n nstack.push('(!!' + n1 + ' || !!' + n2 + ')');\n } else if (f === '||') {\n nstack.push('(String(' + n1 + ') + String(' + n2 + '))');\n } else if (f === '==') {\n nstack.push('(' + n1 + ' === ' + n2 + ')');\n } else if (f === '!=') {\n nstack.push('(' + n1 + ' !== ' + n2 + ')');\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (f === '?') {\n nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');\n } else {\n throw new Error('invalid Expression');\n }\n } else if (type === IVAR) {\n nstack.push(item.value);\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = item.value;\n if (f === '-' || f === '+') {\n nstack.push('(' + f + n1 + ')');\n } else if (toJS) {\n if (f === 'not') {\n nstack.push('(' + '!' + n1 + ')');\n } else if (f === '!') {\n nstack.push('fac(' + n1 + ')');\n } else {\n nstack.push(f + '(' + n1 + ')');\n }\n } else if (f === '!') {\n nstack.push('(' + n1 + '!)');\n } else {\n nstack.push('(' + f + ' ' + n1 + ')');\n }\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n nstack.push(f + '(' + args.join(', ') + ')');\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1 + '.' + item.value);\n } else if (type === IEXPR) {\n nstack.push('(' + expressionToString(item.value, toJS) + ')');\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.toString = function () {\n return expressionToString(this.tokens, false);\n};\n\nfunction getSymbols(tokens, symbols) {\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) {\n symbols.push(item.value);\n } else if (item.type === IEXPR) {\n getSymbols(item.value, symbols);\n }\n }\n}\n\nExpression.prototype.symbols = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n return vars;\n};\n\nExpression.prototype.variables = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n var functions = this.functions;\n return vars.filter(function (name) {\n return !(name in functions);\n });\n};\n\nExpression.prototype.toJSFunction = function (param, variables) {\n var expr = this;\n var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func\n return function () {\n return f.apply(expr, arguments);\n };\n};\n\nfunction add(a, b) {\n return Number(a) + Number(b);\n}\nfunction sub(a, b) {\n return a - b;\n}\nfunction mul(a, b) {\n return a * b;\n}\nfunction div(a, b) {\n return a / b;\n}\nfunction mod(a, b) {\n return a % b;\n}\nfunction concat(a, b) {\n return '' + a + b;\n}\nfunction equal(a, b) {\n return a === b;\n}\nfunction notEqual(a, b) {\n return a !== b;\n}\nfunction greaterThan(a, b) {\n return a > b;\n}\nfunction lessThan(a, b) {\n return a < b;\n}\nfunction greaterThanEqual(a, b) {\n return a >= b;\n}\nfunction lessThanEqual(a, b) {\n return a <= b;\n}\nfunction andOperator(a, b) {\n return Boolean(a && b);\n}\nfunction orOperator(a, b) {\n return Boolean(a || b);\n}\nfunction sinh(a) {\n return ((Math.exp(a) - Math.exp(-a)) / 2);\n}\nfunction cosh(a) {\n return ((Math.exp(a) + Math.exp(-a)) / 2);\n}\nfunction tanh(a) {\n if (a === Infinity) return 1;\n if (a === -Infinity) return -1;\n return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a));\n}\nfunction asinh(a) {\n if (a === -Infinity) return a;\n return Math.log(a + Math.sqrt(a * a + 1));\n}\nfunction acosh(a) {\n return Math.log(a + Math.sqrt(a * a - 1));\n}\nfunction atanh(a) {\n return (Math.log((1 + a) / (1 - a)) / 2);\n}\nfunction log10(a) {\n return Math.log(a) * Math.LOG10E;\n}\nfunction neg(a) {\n return -a;\n}\nfunction not(a) {\n return !a;\n}\nfunction trunc(a) {\n return a < 0 ? Math.ceil(a) : Math.floor(a);\n}\nfunction random(a) {\n return Math.random() * (a || 1);\n}\nfunction factorial(a) { // a!\n return gamma(a + 1);\n}\nfunction stringLength(s) {\n return String(s).length;\n}\n\nfunction hypot() {\n var sum = 0;\n var larg = 0;\n for (var i = 0, L = arguments.length; i < L; i++) {\n var arg = Math.abs(arguments[i]);\n var div;\n if (larg < arg) {\n div = larg / arg;\n sum = sum * div * div + 1;\n larg = arg;\n } else if (arg > 0) {\n div = arg / larg;\n sum += div * div;\n } else {\n sum += arg;\n }\n }\n return larg === Infinity ? Infinity : larg * Math.sqrt(sum);\n}\n\nfunction condition(cond, yep, nope) {\n return cond ? yep : nope;\n}\n\nfunction isInteger(value) {\n return isFinite(value) && (value === Math.round(value));\n}\n\nvar GAMMA_G = 4.7421875;\nvar GAMMA_P = [\n 0.99999999999999709182,\n 57.156235665862923517, -59.597960355475491248,\n 14.136097974741747174, -0.49191381609762019978,\n 0.33994649984811888699e-4,\n 0.46523628927048575665e-4, -0.98374475304879564677e-4,\n 0.15808870322491248884e-3, -0.21026444172410488319e-3,\n 0.21743961811521264320e-3, -0.16431810653676389022e-3,\n 0.84418223983852743293e-4, -0.26190838401581408670e-4,\n 0.36899182659531622704e-5\n];\n\n// Gamma function from math.js\nfunction gamma(n) {\n var t, x;\n\n if (isInteger(n)) {\n if (n <= 0) {\n return isFinite(n) ? Infinity : NaN;\n }\n\n if (n > 171) {\n return Infinity; // Will overflow\n }\n\n var value = n - 2;\n var res = n - 1;\n while (value > 1) {\n res *= value;\n value--;\n }\n\n if (res === 0) {\n res = 1; // 0! is per definition 1\n }\n\n return res;\n }\n\n if (n < 0.5) {\n return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));\n }\n\n if (n >= 171.35) {\n return Infinity; // will overflow\n }\n\n if (n > 85.0) { // Extended Stirling Approx\n var twoN = n * n;\n var threeN = twoN * n;\n var fourN = threeN * n;\n var fiveN = fourN * n;\n return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) *\n (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) -\n 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) +\n 5246819 / (75246796800 * fiveN * n));\n }\n\n --n;\n x = GAMMA_P[0];\n for (var i = 1; i < GAMMA_P.length; ++i) {\n x += GAMMA_P[i] / (n + i);\n }\n\n t = n + GAMMA_G + 0.5;\n return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;\n}\n\nvar TEOF = 'TEOF';\nvar TOP = 'TOP';\nvar TNUMBER = 'TNUMBER';\nvar TSTRING = 'TSTRING';\nvar TPAREN = 'TPAREN';\nvar TCOMMA = 'TCOMMA';\nvar TNAME = 'TNAME';\n\nfunction Token(type, value, line, column) {\n this.type = type;\n this.value = value;\n this.line = line;\n this.column = column;\n}\n\nToken.prototype.toString = function () {\n return this.type + ': ' + this.value;\n};\n\nfunction TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) {\n this.pos = 0;\n this.line = 0;\n this.column = 0;\n this.current = null;\n this.unaryOps = unaryOps;\n this.binaryOps = binaryOps;\n this.ternaryOps = ternaryOps;\n this.consts = consts;\n this.expression = expression;\n this.savedPosition = 0;\n this.savedCurrent = null;\n this.savedLine = 0;\n this.savedColumn = 0;\n}\n\nTokenStream.prototype.newToken = function (type, value, line, column) {\n return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column);\n};\n\nTokenStream.prototype.save = function () {\n this.savedPosition = this.pos;\n this.savedCurrent = this.current;\n this.savedLine = this.line;\n this.savedColumn = this.column;\n};\n\nTokenStream.prototype.restore = function () {\n this.pos = this.savedPosition;\n this.current = this.savedCurrent;\n this.line = this.savedLine;\n this.column = this.savedColumn;\n};\n\nTokenStream.prototype.next = function () {\n if (this.pos >= this.expression.length) {\n return this.newToken(TEOF, 'EOF');\n }\n\n if (this.isWhitespace() || this.isComment()) {\n return this.next();\n } else if (this.isNumber() ||\n this.isOperator() ||\n this.isString() ||\n this.isParen() ||\n this.isComma() ||\n this.isNamedOp() ||\n this.isConst() ||\n this.isName()) {\n return this.current;\n } else {\n this.parseError('Unknown character \"' + this.expression.charAt(this.pos) + '\"');\n }\n};\n\nTokenStream.prototype.isString = function () {\n var r = false;\n var startLine = this.line;\n var startColumn = this.column;\n var startPos = this.pos;\n var quote = this.expression.charAt(startPos);\n\n if (quote === '\\'' || quote === '\"') {\n this.pos++;\n this.column++;\n var index = this.expression.indexOf(quote, startPos + 1);\n while (index >= 0 && this.pos < this.expression.length) {\n this.pos = index + 1;\n if (this.expression.charAt(index - 1) !== '\\\\') {\n var rawString = this.expression.substring(startPos + 1, index);\n this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn);\n var newLine = rawString.indexOf('\\n');\n var lastNewline = -1;\n while (newLine >= 0) {\n this.line++;\n this.column = 0;\n lastNewline = newLine;\n newLine = rawString.indexOf('\\n', newLine + 1);\n }\n this.column += rawString.length - lastNewline;\n r = true;\n break;\n }\n index = this.expression.indexOf(quote, index + 1);\n }\n }\n return r;\n};\n\nTokenStream.prototype.isParen = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '(' || char === ')') {\n this.current = this.newToken(TPAREN, char);\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isComma = function () {\n var char = this.expression.charAt(this.pos);\n if (char === ',') {\n this.current = this.newToken(TCOMMA, ',');\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isConst = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.consts) {\n this.current = this.newToken(TNUMBER, this.consts[str]);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isNamedOp = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) {\n this.current = this.newToken(TOP, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isName = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n this.current = this.newToken(TNAME, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isWhitespace = function () {\n var r = false;\n var char = this.expression.charAt(this.pos);\n while (char === ' ' || char === '\\t' || char === '\\n' || char === '\\r') {\n r = true;\n this.pos++;\n this.column++;\n if (char === '\\n') {\n this.line++;\n this.column = 0;\n }\n if (this.pos >= this.expression.length) {\n break;\n }\n char = this.expression.charAt(this.pos);\n }\n return r;\n};\n\nvar codePointPattern = /^[0-9a-f]{4}$/i;\n\nTokenStream.prototype.unescape = function (v) {\n var index = v.indexOf('\\\\');\n if (index < 0) {\n return v;\n }\n\n var buffer = v.substring(0, index);\n while (index >= 0) {\n var c = v.charAt(++index);\n switch (c) {\n case '\\'':\n buffer += '\\'';\n break;\n case '\"':\n buffer += '\"';\n break;\n case '\\\\':\n buffer += '\\\\';\n break;\n case '/':\n buffer += '/';\n break;\n case 'b':\n buffer += '\\b';\n break;\n case 'f':\n buffer += '\\f';\n break;\n case 'n':\n buffer += '\\n';\n break;\n case 'r':\n buffer += '\\r';\n break;\n case 't':\n buffer += '\\t';\n break;\n case 'u':\n // interpret the following 4 characters as the hex of the unicode code point\n var codePoint = v.substring(index + 1, index + 5);\n if (!codePointPattern.test(codePoint)) {\n this.parseError('Illegal escape sequence: \\\\u' + codePoint);\n }\n buffer += String.fromCharCode(parseInt(codePoint, 16));\n index += 4;\n break;\n default:\n throw this.parseError('Illegal escape sequence: \"\\\\' + c + '\"');\n }\n ++index;\n var backslash = v.indexOf('\\\\', index);\n buffer += v.substring(index, backslash < 0 ? v.length : backslash);\n index = backslash;\n }\n\n return buffer;\n};\n\nTokenStream.prototype.isComment = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '/' && this.expression.charAt(this.pos + 1) === '*') {\n var startPos = this.pos;\n this.pos = this.expression.indexOf('*/', this.pos) + 2;\n if (this.pos === 1) {\n this.pos = this.expression.length;\n }\n var comment = this.expression.substring(startPos, this.pos);\n var newline = comment.indexOf('\\n');\n while (newline >= 0) {\n this.line++;\n this.column = comment.length - newline;\n newline = comment.indexOf('\\n', newline + 1);\n }\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isNumber = function () {\n var valid = false;\n var pos = this.pos;\n var startPos = pos;\n var resetPos = pos;\n var column = this.column;\n var resetColumn = column;\n var foundDot = false;\n var foundDigits = false;\n var char;\n\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) {\n if (char === '.') {\n foundDot = true;\n } else {\n foundDigits = true;\n }\n pos++;\n column++;\n valid = foundDigits;\n } else {\n break;\n }\n }\n\n if (valid) {\n resetPos = pos;\n resetColumn = column;\n }\n\n if (char === 'e' || char === 'E') {\n pos++;\n column++;\n var acceptSign = true;\n var validExponent = false;\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if (acceptSign && (char === '+' || char === '-')) {\n acceptSign = false;\n } else if (char >= '0' && char <= '9') {\n validExponent = true;\n acceptSign = false;\n } else {\n break;\n }\n pos++;\n column++;\n }\n\n if (!validExponent) {\n pos = resetPos;\n column = resetColumn;\n }\n }\n\n if (valid) {\n this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos)));\n this.pos = pos;\n this.column = column;\n } else {\n this.pos = resetPos;\n this.column = resetColumn;\n }\n return valid;\n};\n\nTokenStream.prototype.isOperator = function () {\n var char = this.expression.charAt(this.pos);\n\n if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') {\n this.current = this.newToken(TOP, char);\n } else if (char === '∙' || char === '•') {\n this.current = this.newToken(TOP, '*');\n } else if (char === '>') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '>=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '>');\n }\n } else if (char === '<') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '<=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '<');\n }\n } else if (char === '|') {\n if (this.expression.charAt(this.pos + 1) === '|') {\n this.current = this.newToken(TOP, '||');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '=') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '==');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '!') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '!=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, char);\n }\n } else {\n return false;\n }\n this.pos++;\n this.column++;\n return true;\n};\n\nTokenStream.prototype.parseError = function (msg) {\n throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg);\n};\n\nvar unaryInstructionCache = {};\nfunction unaryInstruction(value) {\n var inst = unaryInstructionCache[value];\n if (!inst) {\n inst = unaryInstructionCache[value] = new Instruction(IOP1, value);\n }\n return inst;\n}\n\nvar binaryInstructionCache = {};\nfunction binaryInstruction(value) {\n var inst = binaryInstructionCache[value];\n if (!inst) {\n inst = binaryInstructionCache[value] = new Instruction(IOP2, value);\n }\n return inst;\n}\n\nvar ternaryInstructionCache = {};\nfunction ternaryInstruction(value) {\n var inst = ternaryInstructionCache[value];\n if (!inst) {\n inst = ternaryInstructionCache[value] = new Instruction(IOP3, value);\n }\n return inst;\n}\n\nfunction ParserState(parser, tokenStream) {\n this.parser = parser;\n this.tokens = tokenStream;\n this.current = null;\n this.nextToken = null;\n this.next();\n this.savedCurrent = null;\n this.savedNextToken = null;\n}\n\nParserState.prototype.next = function () {\n this.current = this.nextToken;\n return (this.nextToken = this.tokens.next());\n};\n\nParserState.prototype.tokenMatches = function (token, value) {\n if (typeof value === 'undefined') {\n return true;\n } else if (Array.isArray(value)) {\n return indexOf(value, token.value) >= 0;\n } else if (typeof value === 'function') {\n return value(token);\n } else {\n return token.value === value;\n }\n};\n\nParserState.prototype.save = function () {\n this.savedCurrent = this.current;\n this.savedNextToken = this.nextToken;\n this.tokens.save();\n};\n\nParserState.prototype.restore = function () {\n this.tokens.restore();\n this.current = this.savedCurrent;\n this.nextToken = this.savedNextToken;\n};\n\nParserState.prototype.accept = function (type, value) {\n if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) {\n this.next();\n return true;\n }\n return false;\n};\n\nParserState.prototype.expect = function (type, value) {\n if (!this.accept(type, value)) {\n throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type));\n }\n};\n\nParserState.prototype.parseAtom = function (instr) {\n if (this.accept(TNAME)) {\n instr.push(new Instruction(IVAR, this.current.value));\n } else if (this.accept(TNUMBER)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TSTRING)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TPAREN, '(')) {\n this.parseExpression(instr);\n this.expect(TPAREN, ')');\n } else {\n throw new Error('unexpected ' + this.nextToken);\n }\n};\n\nParserState.prototype.parseExpression = function (instr) {\n this.parseConditionalExpression(instr);\n};\n\nParserState.prototype.parseConditionalExpression = function (instr) {\n this.parseOrExpression(instr);\n while (this.accept(TOP, '?')) {\n var trueBranch = [];\n var falseBranch = [];\n this.parseConditionalExpression(trueBranch);\n this.expect(TOP, ':');\n this.parseConditionalExpression(falseBranch);\n instr.push(new Instruction(IEXPR, trueBranch));\n instr.push(new Instruction(IEXPR, falseBranch));\n instr.push(ternaryInstruction('?'));\n }\n};\n\nParserState.prototype.parseOrExpression = function (instr) {\n this.parseAndExpression(instr);\n while (this.accept(TOP, 'or')) {\n this.parseAndExpression(instr);\n instr.push(binaryInstruction('or'));\n }\n};\n\nParserState.prototype.parseAndExpression = function (instr) {\n this.parseComparison(instr);\n while (this.accept(TOP, 'and')) {\n this.parseComparison(instr);\n instr.push(binaryInstruction('and'));\n }\n};\n\nParserState.prototype.parseComparison = function (instr) {\n this.parseAddSub(instr);\n while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) {\n var op = this.current;\n this.parseAddSub(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseAddSub = function (instr) {\n this.parseTerm(instr);\n while (this.accept(TOP, ['+', '-', '||'])) {\n var op = this.current;\n this.parseTerm(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseTerm = function (instr) {\n this.parseFactor(instr);\n while (this.accept(TOP, ['*', '/', '%'])) {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseFactor = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n this.save();\n if (this.accept(TOP, isPrefixOperator)) {\n if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) {\n this.restore();\n this.parseExponential(instr);\n } else {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(unaryInstruction(op.value));\n }\n } else {\n this.parseExponential(instr);\n }\n};\n\nParserState.prototype.parseExponential = function (instr) {\n this.parsePostfixExpression(instr);\n while (this.accept(TOP, '^')) {\n this.parseFactor(instr);\n instr.push(binaryInstruction('^'));\n }\n};\n\nParserState.prototype.parsePostfixExpression = function (instr) {\n this.parseFunctionCall(instr);\n while (this.accept(TOP, '!')) {\n instr.push(unaryInstruction('!'));\n }\n};\n\nParserState.prototype.parseFunctionCall = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n if (this.accept(TOP, isPrefixOperator)) {\n var op = this.current;\n this.parseAtom(instr);\n instr.push(unaryInstruction(op.value));\n } else {\n this.parseMemberExpression(instr);\n while (this.accept(TPAREN, '(')) {\n if (this.accept(TPAREN, ')')) {\n instr.push(new Instruction(IFUNCALL, 0));\n } else {\n var argCount = this.parseArgumentList(instr);\n instr.push(new Instruction(IFUNCALL, argCount));\n }\n }\n }\n};\n\nParserState.prototype.parseArgumentList = function (instr) {\n var argCount = 0;\n\n while (!this.accept(TPAREN, ')')) {\n this.parseExpression(instr);\n ++argCount;\n while (this.accept(TCOMMA)) {\n this.parseExpression(instr);\n ++argCount;\n }\n }\n\n return argCount;\n};\n\nParserState.prototype.parseMemberExpression = function (instr) {\n this.parseAtom(instr);\n while (this.accept(TOP, '.')) {\n this.expect(TNAME);\n instr.push(new Instruction(IMEMBER, this.current.value));\n }\n};\n\nfunction Parser() {\n this.unaryOps = {\n sin: Math.sin,\n cos: Math.cos,\n tan: Math.tan,\n asin: Math.asin,\n acos: Math.acos,\n atan: Math.atan,\n sinh: Math.sinh || sinh,\n cosh: Math.cosh || cosh,\n tanh: Math.tanh || tanh,\n asinh: Math.asinh || asinh,\n acosh: Math.acosh || acosh,\n atanh: Math.atanh || atanh,\n sqrt: Math.sqrt,\n log: Math.log,\n ln: Math.log,\n lg: Math.log10 || log10,\n log10: Math.log10 || log10,\n abs: Math.abs,\n ceil: Math.ceil,\n floor: Math.floor,\n round: Math.round,\n trunc: Math.trunc || trunc,\n '-': neg,\n '+': Number,\n exp: Math.exp,\n not: not,\n length: stringLength,\n '!': factorial\n };\n\n this.binaryOps = {\n '+': add,\n '-': sub,\n '*': mul,\n '/': div,\n '%': mod,\n '^': Math.pow,\n '||': concat,\n '==': equal,\n '!=': notEqual,\n '>': greaterThan,\n '<': lessThan,\n '>=': greaterThanEqual,\n '<=': lessThanEqual,\n and: andOperator,\n or: orOperator\n };\n\n this.ternaryOps = {\n '?': condition\n };\n\n this.functions = {\n random: random,\n fac: factorial,\n min: Math.min,\n max: Math.max,\n hypot: Math.hypot || hypot,\n pyt: Math.hypot || hypot, // backward compat\n pow: Math.pow,\n atan2: Math.atan2,\n 'if': condition,\n gamma: gamma\n };\n\n this.consts = {\n E: Math.E,\n PI: Math.PI,\n 'true': true,\n 'false': false\n };\n}\n\nParser.parse = function (expr) {\n return new Parser().parse(expr);\n};\n\nParser.evaluate = function (expr, variables) {\n return Parser.parse(expr).evaluate(variables);\n};\n\nParser.prototype = {\n parse: function (expr) {\n var instr = [];\n var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts));\n parserState.parseExpression(instr);\n parserState.expect(TEOF, 'EOF');\n\n return new Expression(instr, this);\n },\n\n evaluate: function (expr, variables) {\n return this.parse(expr).evaluate(variables);\n }\n};\n\nvar parser = {\n Parser: Parser,\n Expression: Expression\n};\n\nreturn parser;\n\n})));\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n\nimport Parser from 'expr-eval'\nimport { Image2D } from '../core/Image2D.js';\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\n\n/**\n* An instance of ImageBlendExpressionFilter takes Image2D inputs, as many as\n* we need as long as they have the same size and the same number of components\n* per pixel.\n* This filter blends images pixel values using a literal expression. This expression\n* should be set using `setMetadata( \"expresssion\", \"A * B\" )` , where `A` and `B`\n* are the categories set in input.\n*\n*/\nclass ImageBlendExpressionFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n this._addOutput( Image2D );\n\n var parser = new Parser.Parser();\n var expr = parser.parse('2 * x + 1');\n console.log(expr.evaluate({ x: 3 })); // 7\n\n // or\n //Parser.evaluate('6 * x', { x: 7 }) // 42\n\n }\n\n\n\n update(){\n\n // the metadata was not set\n if(!this.hasMetadata(\"expression\")){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires a blending expression.\\nUse 'setMetadata(\\\"expression\\\", \\\"...\\\")' to set it.\" );\n return;\n }\n\n if( !this.hasSameNcppInput() || !this.hasSameSizeInput() ){\n return;\n }\n\n if(!this.getNumberOfInputs()){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires at least one inpupt.\");\n return;\n }\n\n var inputCategories = Object.keys( this._input );\n var firstInput = this._getInput( inputCategories[0] );\n var outputBuffer = firstInput.getDataCopy();\n var parser = new Parser.Parser();\n var expr = parser.parse( this.getMetadata(\"expression\") );\n\n for(var i=0; i + + For each pixel gradient blend + + + + + + + + +

Pixpipejs

+

+ This does the following : +

    +
  • opening a distant image file with AJAX request, using pixpipe.UrlImageReader
    • +
  • creating a pixpipe.Image2D with the same size as the first, but monoband.
    • +
  • run a pixpipe.ForEachPixelImageFilter ont the monoband image to create a radial gradient (values in [0, 1])
    • +
  • multiply the loaded image with the gradient image using a pixpipe.SpectralScaleImageFilter
    • +
  • displaying the final output in a canvas using pixpipe.CanvasImageWriter
    • +
+ +

+ +

+

The original image:

+ +

+ +

+

The transformed image, with a radial gradient:

+
+

+ + + + + diff --git a/examples/forEachPixelGradient_pipeline.html b/examples/forEachPixelGradient_pipeline.html new file mode 100644 index 0000000..9873c88 --- /dev/null +++ b/examples/forEachPixelGradient_pipeline.html @@ -0,0 +1,110 @@ + + + pipeline: For each pixel gradient + + + + + + + + +

Pixpipejs

+

+ This does the following : +

    +
  • opening a distant image file with AJAX request, using pixpipe.UrlImageReader
    • +
  • creating a pixpipe.Image2D with the same size as the first, but monoband.
    • +
  • run a pixpipe.ForEachPixelImageFilter ont the monoband image to create a radial gradient (values in [0, 1])
    • +
  • multiply the loaded image with the gradient image using a pixpipe.SpectralScaleImageFilter
    • +
  • displaying the final output in a canvas using pixpipe.CanvasImageWriter
    • +
+ +

+ +

+

The original image:

+ +

+ +

+

The transformed image, with a radial gradient:

+
+

+ + + + + diff --git a/src/core/Filter.js b/src/core/Filter.js index 7ea8817..2af95a0 100644 --- a/src/core/Filter.js +++ b/src/core/Filter.js @@ -36,8 +36,8 @@ class Filter extends PipelineElement { //"0" : [] }; - // pipeline associated with this filter. Not mandatory. - //this._pipeline = null; + this._isOutputReady = false; + } @@ -56,11 +56,6 @@ class Filter extends PipelineElement { */ addInput( inputObject, category=0){ - if(category < 0 ){ - console.warn("A input cannot be of category inferior to zero"); - return; - } - // the category may not exist, we create it if( !(category in this._input) ){ this._input[category] = null; @@ -72,6 +67,8 @@ class Filter extends PipelineElement { if( this._pipeline ){ inputObject.setPipeline( this._pipeline ); } + + this._isOutputReady = false; } @@ -99,19 +96,29 @@ class Filter extends PipelineElement { * @param {Number} category - in case we want to get data from different categories. * @returns {Object} of given type. */ - _setOutput( dataType, category=0 ){ + _addOutput( dataType, category=0 ){ var outputObject = null; // the category may not exist, we create it if( !(category in this._output) ){ var outputObject = new dataType(); this._output[category] = outputObject; + + //console.log(this._output); + console.log("filter " + this.constructor.name + " creates a new output."); + /* + if(this._pipeline){ + outputObject.setPipeline( p ); + } + */ + }else{ // TODO: if output object exists but is not from dataType: error! - outputObject = this._output[category]; + //outputObject = this._output[category]; + console.warn("An output of category " + category + " was already defined."); } - return outputObject; + //return outputObject; } @@ -130,6 +137,25 @@ class Filter extends PipelineElement { } + /** + * Same as PixpipeObject.setMetadata but add the _isOutputReady to false. + */ + setMetadata( key, value ){ + super.setMetadata( key, value ); + this._isOutputReady = false; + } + + + + hasOutputReady(){ + return this._isOutputReady; + } + + + setOutputAsReady(){ + this._isOutputReady = true; + } + /** * Validate the input data using a model defined in _inputValidator. * Every class that implement Filter must implement their own _inputValidator. @@ -152,39 +178,6 @@ class Filter extends PipelineElement { } - /** - * Check if all input image have the same size. - * @return {Boolean} true is same size, false if not. - */ - hasSameSizeInput(){ - var that = this; - var inputCategories = Object.keys( this._inputValidator ); - var sameSize = true; - - var widths = []; - var heights = []; - - inputCategories.forEach( function(key){ - widths.push( that._getInput( key ).getWidth() ); - heights.push( that._getInput( key ).getHeight() ); - }); - - // if all input have the same size - if(widths.length){ - widths.sort(); - heights.sort(); - sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) && - (heights[ 0 ] == heights[ heights.length -1 ] ); - - if( !sameSize ){ - console.warn("Input image do not all have the same size. Filter not valid"); - } - } - - return sameSize; - } - - /** * MUST be implemented by the class that inherit this. * Launch the process. @@ -224,9 +217,15 @@ class Filter extends PipelineElement { */ super.setPipeline( p ); - var inputCategories = Object.keys( this._inputValidator ); + var inputCategories = Object.keys( this._input ); inputCategories.forEach( function(key){ - widths.push( that._getInput( key ).setPipeline( p ) ); + that._getInput( key ).setPipeline( p ); + }); + + + var outputCategories = Object.keys( this._output ); + outputCategories.forEach( function(key){ + hat.getOutput( key ).setPipeline( p ); }); } @@ -259,6 +258,12 @@ class Filter extends PipelineElement { } + /** + * @return {Number} the number of inputs + */ + getNumberOfInputs(){ + return Object.keys( this._inputValidator ).length; + } } /* END class Filter */ diff --git a/src/core/ImageToImageFilter.js b/src/core/ImageToImageFilter.js index 97e5998..49d6734 100644 --- a/src/core/ImageToImageFilter.js +++ b/src/core/ImageToImageFilter.js @@ -23,6 +23,65 @@ class ImageToImageFilter extends Filter { this._inputBuffer = null; } + + /** + * Check if all input image have the same size. + * @return {Boolean} true is same size, false if not. + */ + hasSameSizeInput(){ + var that = this; + var inputCategories = Object.keys( this._input ); + var sameSize = true; + + var widths = []; + var heights = []; + + inputCategories.forEach( function(key){ + widths.push( that._getInput( key ).getWidth() ); + heights.push( that._getInput( key ).getHeight() ); + }); + + // if all input have the same size + if(widths.length){ + widths.sort(); + heights.sort(); + sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) && + (heights[ 0 ] == heights[ heights.length -1 ] ); + + if( !sameSize ){ + console.warn("Input image do not all have the same size. Filter not valid"); + } + } + + return sameSize; + } + + + /** + * Check if all the inputs have the same number of component per pixel. + * @return {Boolean} true if the ncpp are the same for all input image + */ + hasSameNcppInput(){ + var inputCategories = Object.keys( this._input ); + + // if no input, return false + if(!inputCategories.length) + return false; + + var ncpp = this._getInput( inputCategories[0] ).getComponentsPerPixel(); + + for(var i=0; i Date: Mon, 20 Mar 2017 14:59:25 -0400 Subject: [PATCH 8/9] ADD multi file loading over ajax --- dist/pixpipe.js | 105 +++++++++++++++++++---- dist/pixpipe.js.map | 2 +- examples/forEachPixelGradientBlend.html | 7 +- examples/imageBlending.html | 83 ++++++++++++++++++ examples/imageBlending2.html | 80 +++++++++++++++++ examples/images/mask.png | Bin 0 -> 25748 bytes examples/images/ny1.jpg | Bin 0 -> 528553 bytes examples/images/ny2.jpg | Bin 0 -> 447874 bytes examples/urlToImage2D_multiple.html | 66 ++++++++++++++ package.json | 1 + src/core/Filter.js | 29 ++++++- src/filter/ImageBlendExpressionFilter.js | 21 ++--- src/io/CanvasImageWriter.js | 1 - src/io/UrlImageReader.js | 63 ++++++++++++-- 14 files changed, 419 insertions(+), 39 deletions(-) create mode 100644 examples/imageBlending.html create mode 100644 examples/imageBlending2.html create mode 100644 examples/images/mask.png create mode 100644 examples/images/ny1.jpg create mode 100644 examples/images/ny2.jpg create mode 100644 examples/urlToImage2D_multiple.html diff --git a/dist/pixpipe.js b/dist/pixpipe.js index 3e954d2..bd9b54c 100644 --- a/dist/pixpipe.js +++ b/dist/pixpipe.js @@ -351,7 +351,7 @@ class Filter extends PipelineElement { }else{ // TODO: if output object exists but is not from dataType: error! //outputObject = this._output[category]; - console.warn("An output of category " + category + " was already defined."); + console.warn("An output of category " + category + " was already defined. Nothing to be done."); } //return outputObject; @@ -373,6 +373,21 @@ class Filter extends PipelineElement { } + /** + * @return {Array} all the input categories as an array of string + */ + getInputCategories(){ + return Object.keys( this._input ); + } + + + /** + * @return {Array} all the output categories as an array of string + */ + getOutputCategories(){ + return Object.keys( this._output ); + } + /** * Same as PixpipeObject.setMetadata but add the _isOutputReady to false. */ @@ -498,9 +513,19 @@ class Filter extends PipelineElement { * @return {Number} the number of inputs */ getNumberOfInputs(){ - return Object.keys( this._inputValidator ).length; + return Object.keys( this._input ).length; } + + /** + * @return {Number} the number of outputs + */ + getNumberOfOutputs(){ + return Object.keys( this._output ).length; + } + + + } /* END class Filter */ /* @@ -949,7 +974,6 @@ class CanvasImageWriter extends Filter{ return; var image = this._input[0]; - console.log(image); var ncppSrc = image.getComponentsPerPixel(); // only Image2d with 1 or 4 bands can be displayed @@ -1023,9 +1047,13 @@ class CanvasImageWriter extends Filter{ * Reading a file from URL takes an AJAX request, which is asynchronous. For this * reason, what happens next, once the Image2D is created must take place in the * callback defined by the event .on("imageLoaded", function(){ ... }). -* * Usage: examples/urlToImage2D.html * +* UrlImageReader can also load multiple images and call the "imageLoaded" event +* only when all of them are loaded. +* Usage: examples/urlToImage2D_multiple.html +* +* * @example * var url2ImgFilter = new pixpipe.UrlImageReader( ... ); * url2ImgFilter.addInput( "images/sd.jpg" ); @@ -1039,15 +1067,16 @@ class UrlImageReader extends Filter { */ constructor( callback ){ super(); + this._loadedCounter = 0; + this._addOutput( Image2D, 0 ); - this._addOutput( Image2D ); } /** * Run the reading */ - update(){ + update_ORIG(){ var that = this; var img = new Image(); @@ -1064,12 +1093,14 @@ class UrlImageReader extends Filter { var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); var dataArray = imageData.data; - var img2D = that.getOutput(); + var img2D = that.getOutput( category ); img2D.setData( dataArray, img.width, img.height); - if("imageLoaded" in that._events){ + // call the loaded callback only when all images are loaded + if( "imageLoaded" in that._events){ that._events.imageLoaded( that ); } + }catch(e){ console.error(e); } @@ -1080,6 +1111,52 @@ class UrlImageReader extends Filter { } + update(){ + var that = this; + var inputCategories = this.getInputCategories(); + + inputCategories.forEach( function(category){ + that._addOutput( Image2D, category ); + that._loadImage( category ); + }); + } + + + _loadImage( inputCategory ){ + var that = this; + + var img = new Image(); + img.src = this._getInput(inputCategory); + + img.onload = function() { + var tmpCanvas = document.createElement("canvas"); + tmpCanvas.width = img.width; + tmpCanvas.height = img.height; + var canvasContext = tmpCanvas.getContext('2d'); + canvasContext.drawImage(img, 0, 0); + + try{ + var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); + var dataArray = imageData.data; + var img2D = that.getOutput( inputCategory ); + img2D.setData( dataArray, img.width, img.height); + + that._loadedCounter ++; + + // call the loaded callback only when all images are loaded + if(that._loadedCounter == that.getNumberOfInputs() && "imageLoaded" in that._events){ + that._events.imageLoaded( that ); + } + + }catch(e){ + console.error(e); + } + + }; + + } + + } /* END of class UrlImageReader */ /* @@ -2676,14 +2753,6 @@ class ImageBlendExpressionFilter extends ImageToImageFilter { constructor(){ super(); this._addOutput( Image2D ); - - var parser = new bundle.Parser(); - var expr = parser.parse('2 * x + 1'); - console.log(expr.evaluate({ x: 3 })); // 7 - - // or - //Parser.evaluate('6 * x', { x: 7 }) // 42 - } @@ -2705,7 +2774,7 @@ class ImageBlendExpressionFilter extends ImageToImageFilter { return; } - var inputCategories = Object.keys( this._input ); + var inputCategories = this.getInputCategories(); var firstInput = this._getInput( inputCategories[0] ); var outputBuffer = firstInput.getDataCopy(); var parser = new bundle.Parser(); @@ -2730,11 +2799,11 @@ class ImageBlendExpressionFilter extends ImageToImageFilter { firstInput.getHeight() ); - } + } /* END of class ImageBlendExpressionFilter */ //export { SpatialConvolutionFilter } from './filter/SpatialConvolutionFilter.js'; diff --git a/dist/pixpipe.js.map b/dist/pixpipe.js.map index 31b7c97..6052e9d 100644 --- a/dist/pixpipe.js.map +++ b/dist/pixpipe.js.map @@ -1 +1 @@ -{"version":3,"file":"pixpipe.js","sources":["../src/core/PixpipeObject.js","../src/core/PipelineElement.js","../src/core/Pipeline.js","../src/core/Filter.js","../src/core/Image2D.js","../src/core/ImageToImageFilter.js","../src/core/PixelWiseImageFilter.js","../src/io/CanvasImageWriter.js","../src/io/UrlImageReader.js","../src/io/FileImageReader.js","../src/filter/ForEachPixelImageFilter.js","../src/filter/SpectralScaleImageFilter.js","../node_modules/expr-eval/dist/bundle.js","../src/filter/ImageBlendExpressionFilter.js","../src/pixpipe.js"],"sourcesContent":["/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n\n/**\n* PixpipeObject is the base object of all. It creates a uuid and has few\n* generic attributes like type, name and description. Not all these attributes\n* always useful;\n*/\nclass PixpipeObject {\n\n constructor(){\n // unique identifier\n this._uuid = 'xxxxxxxx-xxxx-4xxx-yxxx-xxxxxxxxxxxx'.replace(/[xy]/g, function(c) {\n var r = Math.random()*16|0, v = c == 'x' ? r : (r&0x3|0x8);\n return v.toString(16);\n });\n\n // Metadata can be anything, a name, an ID, a description, a DOM element.\n // everything that is not an input but rather a setting\n this._metadata = {};\n\n this._pipeline = null;\n\n this._type = PixpipeObject.TYPE();\n }\n\n\n /**\n * Acces it like a static attribute.\n * Must be overloaded.\n */\n static TYPE(){\n return \"GENERIC\";\n }\n\n\n /**\n * Compare a give type to the type of this object.\n * @param {String} t - a type, better to call the static method of each object, like Image.TYPE()\n */\n isOfType( t ){\n return !(this._type.localeCompare(t))\n }\n\n\n /**\n * Get type of object.\n * @return {String} the type\n */\n getType(){\n this._type;\n }\n\n /**\n * Return a copy of the uuid\n */\n get uuid(){\n return this._uuid.slice();\n }\n\n\n /**\n * Set a metadata using a pair of key and value.\n * @param {String} key - the ID of the metadata\n * @param {Object} value - can be a string, Number or Object\n */\n setMetadata( key, value ){\n if(typeof key === 'string' || key instanceof String){\n this._metadata[ key ] = value;\n }else{\n console.warn(\"The given key must be a String Object.\");\n }\n\n }\n\n\n /**\n * Retrieve a metadata using a key.\n * @param {String} key - the ID of the metadata\n * @return {Object} the metadata object - or null if non existent\n */\n getMetadata( key ){\n if( key in this._metadata){\n return this._metadata[ key ];\n }else{\n console.warn(\"The metadata with key: \" + key + \" doe not exist.\");\n return null;\n }\n }\n\n\n /**\n * Check if the metadata with the given key exists.\n * @param {String} key - the key to look up in the metadata collection\n * @return {Boolean} true if the metadata with the given is present, false if not.\n */\n hasMetadata( key ){\n return (key in this._metadata);\n }\n\n\n}\n\nexport { PixpipeObject }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n\nclass PipelineElement extends PixpipeObject {\n\n constructor(){\n super();\n\n this._pipeline = null;\n this._type = PipelineElement.TYPE();\n }\n\n\n /**\n * Acces it like a static attribute.\n * Must be overloaded.\n */\n static TYPE(){\n return \"PIPELINE_ELEMENT\";\n }\n\n\n /**\n * Associate a Pipeline instance to this image. Not supposed to be called manually\n * because it is automatically called-back when adding a filter to a pipeline.\n * @param {Pipeline} p - Pipeline object.\n */\n setPipeline( p ){\n // only if not already set.\n if(!this._pipeline){\n this._pipeline = p;\n }\n }\n\n\n} /* ENDS class PipelineElement */\n\nexport { PipelineElement }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n/**\n* A Pipeline instance handles a cascade of filter when an input dataset is updated.\n* Using a Pipeline object is not mandatory and can be replaced by calling `update()`.\n*/\nclass Pipeline extends PixpipeObject {\n\n constructor(){\n super();\n this._type = Pipeline.TYPE();\n\n // a list of filters\n this._filters = [];\n\n this._isUpdated = false;\n }\n\n\n /**\n * Hardcode the datatype\n */\n static TYPE(){\n return \"PIPELINE\";\n }\n\n\n /**\n * Add a filter to the pipeline.\n *\n */\n addFilter( f ){\n this._filters.push( f );\n console.log(\"Filter \" + f.constructor.name + \" added to the pipeline.\");\n }\n\n\n /**\n *\n */\n update(forceAll = true){\n\n if( forceAll ){\n this._forceUpdateAll();\n }else{\n\n }\n\n this._isUpdated = true;\n }\n\n\n /**\n * Run an update on every single filter\n */\n _forceUpdateAll(){\n console.log(this._filters);\n for(var f=0; f 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n\n /**\n * Check if all input image have the same size.\n * @return {Boolean} true is same size, false if not.\n */\n hasSameSizeInput(){\n var that = this;\n var inputCategories = Object.keys( this._input );\n var sameSize = true;\n\n var widths = [];\n var heights = [];\n\n inputCategories.forEach( function(key){\n widths.push( that._getInput( key ).getWidth() );\n heights.push( that._getInput( key ).getHeight() );\n });\n\n // if all input have the same size\n if(widths.length){\n widths.sort();\n heights.sort();\n sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) &&\n (heights[ 0 ] == heights[ heights.length -1 ] );\n\n if( !sameSize ){\n console.warn(\"Input image do not all have the same size. Filter not valid\");\n }\n }\n\n return sameSize;\n }\n\n\n /**\n * Check if all the inputs have the same number of component per pixel.\n * @return {Boolean} true if the ncpp are the same for all input image\n */\n hasSameNcppInput(){\n var inputCategories = Object.keys( this._input );\n\n // if no input, return false\n if(!inputCategories.length)\n return false;\n\n var ncpp = this._getInput( inputCategories[0] ).getComponentsPerPixel();\n\n for(var i=0; i 1) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = binaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value));\n nstack.push(item);\n } else if (type === IOP3 && nstack.length > 2) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(n1.value ? n2.value : n3.value);\n } else {\n f = ternaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value));\n nstack.push(item);\n }\n } else if (type === IOP1 && nstack.length > 0) {\n n1 = nstack.pop();\n f = unaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value));\n nstack.push(item);\n } else if (type === IEXPR) {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values)));\n } else if (type === IMEMBER && nstack.length > 0) {\n n1 = nstack.pop();\n nstack.push(new Instruction(INUMBER, n1.value[item.value]));\n } else {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(item);\n }\n }\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n return newexpression;\n}\n\nExpression.prototype.simplify = function (values) {\n values = values || {};\n return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser);\n};\n\nfunction substitute(tokens, variable, expr) {\n var newexpression = [];\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === IVAR && item.value === variable) {\n for (var j = 0; j < expr.tokens.length; j++) {\n var expritem = expr.tokens[j];\n var replitem;\n if (expritem.type === IOP1) {\n replitem = unaryInstruction(expritem.value);\n } else if (expritem.type === IOP2) {\n replitem = binaryInstruction(expritem.value);\n } else if (expritem.type === IOP3) {\n replitem = ternaryInstruction(expritem.value);\n } else {\n replitem = new Instruction(expritem.type, expritem.value);\n }\n newexpression.push(replitem);\n }\n } else if (type === IEXPR) {\n newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr)));\n } else {\n newexpression.push(item);\n }\n }\n return newexpression;\n}\n\nExpression.prototype.substitute = function (variable, expr) {\n if (!(expr instanceof Expression)) {\n expr = this.parser.parse(String(expr));\n }\n\n return new Expression(substitute(this.tokens, variable, expr), this.parser);\n};\n\nfunction evaluate(tokens, expr, values) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n nstack.push(item.value);\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = expr.binaryOps[item.value];\n nstack.push(f(n1, n2));\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(evaluate(n1 ? n2 : n3, expr, values));\n } else {\n f = expr.ternaryOps[item.value];\n nstack.push(f(n1, n2, n3));\n }\n } else if (type === IVAR) {\n if (item.value in expr.functions) {\n nstack.push(expr.functions[item.value]);\n } else {\n var v = values[item.value];\n if (v !== undefined) {\n nstack.push(v);\n } else {\n throw new Error('undefined variable: ' + item.value);\n }\n }\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = expr.unaryOps[item.value];\n nstack.push(f(n1));\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n if (f.apply && f.call) {\n nstack.push(f.apply(undefined, args));\n } else {\n throw new Error(f + ' is not a function');\n }\n } else if (type === IEXPR) {\n nstack.push(item.value);\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1[item.value]);\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.evaluate = function (values) {\n values = values || {};\n return evaluate(this.tokens, this, values);\n};\n\nfunction expressionToString(tokens, toJS) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n if (typeof item.value === 'number' && item.value < 0) {\n nstack.push('(' + item.value + ')');\n } else {\n nstack.push(escapeValue(item.value));\n }\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (toJS) {\n if (f === '^') {\n nstack.push('Math.pow(' + n1 + ', ' + n2 + ')');\n } else if (f === 'and') {\n nstack.push('(!!' + n1 + ' && !!' + n2 + ')');\n } else if (f === 'or') {\n nstack.push('(!!' + n1 + ' || !!' + n2 + ')');\n } else if (f === '||') {\n nstack.push('(String(' + n1 + ') + String(' + n2 + '))');\n } else if (f === '==') {\n nstack.push('(' + n1 + ' === ' + n2 + ')');\n } else if (f === '!=') {\n nstack.push('(' + n1 + ' !== ' + n2 + ')');\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (f === '?') {\n nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');\n } else {\n throw new Error('invalid Expression');\n }\n } else if (type === IVAR) {\n nstack.push(item.value);\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = item.value;\n if (f === '-' || f === '+') {\n nstack.push('(' + f + n1 + ')');\n } else if (toJS) {\n if (f === 'not') {\n nstack.push('(' + '!' + n1 + ')');\n } else if (f === '!') {\n nstack.push('fac(' + n1 + ')');\n } else {\n nstack.push(f + '(' + n1 + ')');\n }\n } else if (f === '!') {\n nstack.push('(' + n1 + '!)');\n } else {\n nstack.push('(' + f + ' ' + n1 + ')');\n }\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n nstack.push(f + '(' + args.join(', ') + ')');\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1 + '.' + item.value);\n } else if (type === IEXPR) {\n nstack.push('(' + expressionToString(item.value, toJS) + ')');\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.toString = function () {\n return expressionToString(this.tokens, false);\n};\n\nfunction getSymbols(tokens, symbols) {\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) {\n symbols.push(item.value);\n } else if (item.type === IEXPR) {\n getSymbols(item.value, symbols);\n }\n }\n}\n\nExpression.prototype.symbols = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n return vars;\n};\n\nExpression.prototype.variables = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n var functions = this.functions;\n return vars.filter(function (name) {\n return !(name in functions);\n });\n};\n\nExpression.prototype.toJSFunction = function (param, variables) {\n var expr = this;\n var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func\n return function () {\n return f.apply(expr, arguments);\n };\n};\n\nfunction add(a, b) {\n return Number(a) + Number(b);\n}\nfunction sub(a, b) {\n return a - b;\n}\nfunction mul(a, b) {\n return a * b;\n}\nfunction div(a, b) {\n return a / b;\n}\nfunction mod(a, b) {\n return a % b;\n}\nfunction concat(a, b) {\n return '' + a + b;\n}\nfunction equal(a, b) {\n return a === b;\n}\nfunction notEqual(a, b) {\n return a !== b;\n}\nfunction greaterThan(a, b) {\n return a > b;\n}\nfunction lessThan(a, b) {\n return a < b;\n}\nfunction greaterThanEqual(a, b) {\n return a >= b;\n}\nfunction lessThanEqual(a, b) {\n return a <= b;\n}\nfunction andOperator(a, b) {\n return Boolean(a && b);\n}\nfunction orOperator(a, b) {\n return Boolean(a || b);\n}\nfunction sinh(a) {\n return ((Math.exp(a) - Math.exp(-a)) / 2);\n}\nfunction cosh(a) {\n return ((Math.exp(a) + Math.exp(-a)) / 2);\n}\nfunction tanh(a) {\n if (a === Infinity) return 1;\n if (a === -Infinity) return -1;\n return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a));\n}\nfunction asinh(a) {\n if (a === -Infinity) return a;\n return Math.log(a + Math.sqrt(a * a + 1));\n}\nfunction acosh(a) {\n return Math.log(a + Math.sqrt(a * a - 1));\n}\nfunction atanh(a) {\n return (Math.log((1 + a) / (1 - a)) / 2);\n}\nfunction log10(a) {\n return Math.log(a) * Math.LOG10E;\n}\nfunction neg(a) {\n return -a;\n}\nfunction not(a) {\n return !a;\n}\nfunction trunc(a) {\n return a < 0 ? Math.ceil(a) : Math.floor(a);\n}\nfunction random(a) {\n return Math.random() * (a || 1);\n}\nfunction factorial(a) { // a!\n return gamma(a + 1);\n}\nfunction stringLength(s) {\n return String(s).length;\n}\n\nfunction hypot() {\n var sum = 0;\n var larg = 0;\n for (var i = 0, L = arguments.length; i < L; i++) {\n var arg = Math.abs(arguments[i]);\n var div;\n if (larg < arg) {\n div = larg / arg;\n sum = sum * div * div + 1;\n larg = arg;\n } else if (arg > 0) {\n div = arg / larg;\n sum += div * div;\n } else {\n sum += arg;\n }\n }\n return larg === Infinity ? Infinity : larg * Math.sqrt(sum);\n}\n\nfunction condition(cond, yep, nope) {\n return cond ? yep : nope;\n}\n\nfunction isInteger(value) {\n return isFinite(value) && (value === Math.round(value));\n}\n\nvar GAMMA_G = 4.7421875;\nvar GAMMA_P = [\n 0.99999999999999709182,\n 57.156235665862923517, -59.597960355475491248,\n 14.136097974741747174, -0.49191381609762019978,\n 0.33994649984811888699e-4,\n 0.46523628927048575665e-4, -0.98374475304879564677e-4,\n 0.15808870322491248884e-3, -0.21026444172410488319e-3,\n 0.21743961811521264320e-3, -0.16431810653676389022e-3,\n 0.84418223983852743293e-4, -0.26190838401581408670e-4,\n 0.36899182659531622704e-5\n];\n\n// Gamma function from math.js\nfunction gamma(n) {\n var t, x;\n\n if (isInteger(n)) {\n if (n <= 0) {\n return isFinite(n) ? Infinity : NaN;\n }\n\n if (n > 171) {\n return Infinity; // Will overflow\n }\n\n var value = n - 2;\n var res = n - 1;\n while (value > 1) {\n res *= value;\n value--;\n }\n\n if (res === 0) {\n res = 1; // 0! is per definition 1\n }\n\n return res;\n }\n\n if (n < 0.5) {\n return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));\n }\n\n if (n >= 171.35) {\n return Infinity; // will overflow\n }\n\n if (n > 85.0) { // Extended Stirling Approx\n var twoN = n * n;\n var threeN = twoN * n;\n var fourN = threeN * n;\n var fiveN = fourN * n;\n return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) *\n (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) -\n 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) +\n 5246819 / (75246796800 * fiveN * n));\n }\n\n --n;\n x = GAMMA_P[0];\n for (var i = 1; i < GAMMA_P.length; ++i) {\n x += GAMMA_P[i] / (n + i);\n }\n\n t = n + GAMMA_G + 0.5;\n return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;\n}\n\nvar TEOF = 'TEOF';\nvar TOP = 'TOP';\nvar TNUMBER = 'TNUMBER';\nvar TSTRING = 'TSTRING';\nvar TPAREN = 'TPAREN';\nvar TCOMMA = 'TCOMMA';\nvar TNAME = 'TNAME';\n\nfunction Token(type, value, line, column) {\n this.type = type;\n this.value = value;\n this.line = line;\n this.column = column;\n}\n\nToken.prototype.toString = function () {\n return this.type + ': ' + this.value;\n};\n\nfunction TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) {\n this.pos = 0;\n this.line = 0;\n this.column = 0;\n this.current = null;\n this.unaryOps = unaryOps;\n this.binaryOps = binaryOps;\n this.ternaryOps = ternaryOps;\n this.consts = consts;\n this.expression = expression;\n this.savedPosition = 0;\n this.savedCurrent = null;\n this.savedLine = 0;\n this.savedColumn = 0;\n}\n\nTokenStream.prototype.newToken = function (type, value, line, column) {\n return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column);\n};\n\nTokenStream.prototype.save = function () {\n this.savedPosition = this.pos;\n this.savedCurrent = this.current;\n this.savedLine = this.line;\n this.savedColumn = this.column;\n};\n\nTokenStream.prototype.restore = function () {\n this.pos = this.savedPosition;\n this.current = this.savedCurrent;\n this.line = this.savedLine;\n this.column = this.savedColumn;\n};\n\nTokenStream.prototype.next = function () {\n if (this.pos >= this.expression.length) {\n return this.newToken(TEOF, 'EOF');\n }\n\n if (this.isWhitespace() || this.isComment()) {\n return this.next();\n } else if (this.isNumber() ||\n this.isOperator() ||\n this.isString() ||\n this.isParen() ||\n this.isComma() ||\n this.isNamedOp() ||\n this.isConst() ||\n this.isName()) {\n return this.current;\n } else {\n this.parseError('Unknown character \"' + this.expression.charAt(this.pos) + '\"');\n }\n};\n\nTokenStream.prototype.isString = function () {\n var r = false;\n var startLine = this.line;\n var startColumn = this.column;\n var startPos = this.pos;\n var quote = this.expression.charAt(startPos);\n\n if (quote === '\\'' || quote === '\"') {\n this.pos++;\n this.column++;\n var index = this.expression.indexOf(quote, startPos + 1);\n while (index >= 0 && this.pos < this.expression.length) {\n this.pos = index + 1;\n if (this.expression.charAt(index - 1) !== '\\\\') {\n var rawString = this.expression.substring(startPos + 1, index);\n this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn);\n var newLine = rawString.indexOf('\\n');\n var lastNewline = -1;\n while (newLine >= 0) {\n this.line++;\n this.column = 0;\n lastNewline = newLine;\n newLine = rawString.indexOf('\\n', newLine + 1);\n }\n this.column += rawString.length - lastNewline;\n r = true;\n break;\n }\n index = this.expression.indexOf(quote, index + 1);\n }\n }\n return r;\n};\n\nTokenStream.prototype.isParen = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '(' || char === ')') {\n this.current = this.newToken(TPAREN, char);\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isComma = function () {\n var char = this.expression.charAt(this.pos);\n if (char === ',') {\n this.current = this.newToken(TCOMMA, ',');\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isConst = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.consts) {\n this.current = this.newToken(TNUMBER, this.consts[str]);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isNamedOp = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) {\n this.current = this.newToken(TOP, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isName = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n this.current = this.newToken(TNAME, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isWhitespace = function () {\n var r = false;\n var char = this.expression.charAt(this.pos);\n while (char === ' ' || char === '\\t' || char === '\\n' || char === '\\r') {\n r = true;\n this.pos++;\n this.column++;\n if (char === '\\n') {\n this.line++;\n this.column = 0;\n }\n if (this.pos >= this.expression.length) {\n break;\n }\n char = this.expression.charAt(this.pos);\n }\n return r;\n};\n\nvar codePointPattern = /^[0-9a-f]{4}$/i;\n\nTokenStream.prototype.unescape = function (v) {\n var index = v.indexOf('\\\\');\n if (index < 0) {\n return v;\n }\n\n var buffer = v.substring(0, index);\n while (index >= 0) {\n var c = v.charAt(++index);\n switch (c) {\n case '\\'':\n buffer += '\\'';\n break;\n case '\"':\n buffer += '\"';\n break;\n case '\\\\':\n buffer += '\\\\';\n break;\n case '/':\n buffer += '/';\n break;\n case 'b':\n buffer += '\\b';\n break;\n case 'f':\n buffer += '\\f';\n break;\n case 'n':\n buffer += '\\n';\n break;\n case 'r':\n buffer += '\\r';\n break;\n case 't':\n buffer += '\\t';\n break;\n case 'u':\n // interpret the following 4 characters as the hex of the unicode code point\n var codePoint = v.substring(index + 1, index + 5);\n if (!codePointPattern.test(codePoint)) {\n this.parseError('Illegal escape sequence: \\\\u' + codePoint);\n }\n buffer += String.fromCharCode(parseInt(codePoint, 16));\n index += 4;\n break;\n default:\n throw this.parseError('Illegal escape sequence: \"\\\\' + c + '\"');\n }\n ++index;\n var backslash = v.indexOf('\\\\', index);\n buffer += v.substring(index, backslash < 0 ? v.length : backslash);\n index = backslash;\n }\n\n return buffer;\n};\n\nTokenStream.prototype.isComment = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '/' && this.expression.charAt(this.pos + 1) === '*') {\n var startPos = this.pos;\n this.pos = this.expression.indexOf('*/', this.pos) + 2;\n if (this.pos === 1) {\n this.pos = this.expression.length;\n }\n var comment = this.expression.substring(startPos, this.pos);\n var newline = comment.indexOf('\\n');\n while (newline >= 0) {\n this.line++;\n this.column = comment.length - newline;\n newline = comment.indexOf('\\n', newline + 1);\n }\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isNumber = function () {\n var valid = false;\n var pos = this.pos;\n var startPos = pos;\n var resetPos = pos;\n var column = this.column;\n var resetColumn = column;\n var foundDot = false;\n var foundDigits = false;\n var char;\n\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) {\n if (char === '.') {\n foundDot = true;\n } else {\n foundDigits = true;\n }\n pos++;\n column++;\n valid = foundDigits;\n } else {\n break;\n }\n }\n\n if (valid) {\n resetPos = pos;\n resetColumn = column;\n }\n\n if (char === 'e' || char === 'E') {\n pos++;\n column++;\n var acceptSign = true;\n var validExponent = false;\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if (acceptSign && (char === '+' || char === '-')) {\n acceptSign = false;\n } else if (char >= '0' && char <= '9') {\n validExponent = true;\n acceptSign = false;\n } else {\n break;\n }\n pos++;\n column++;\n }\n\n if (!validExponent) {\n pos = resetPos;\n column = resetColumn;\n }\n }\n\n if (valid) {\n this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos)));\n this.pos = pos;\n this.column = column;\n } else {\n this.pos = resetPos;\n this.column = resetColumn;\n }\n return valid;\n};\n\nTokenStream.prototype.isOperator = function () {\n var char = this.expression.charAt(this.pos);\n\n if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') {\n this.current = this.newToken(TOP, char);\n } else if (char === '∙' || char === '•') {\n this.current = this.newToken(TOP, '*');\n } else if (char === '>') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '>=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '>');\n }\n } else if (char === '<') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '<=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '<');\n }\n } else if (char === '|') {\n if (this.expression.charAt(this.pos + 1) === '|') {\n this.current = this.newToken(TOP, '||');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '=') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '==');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '!') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '!=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, char);\n }\n } else {\n return false;\n }\n this.pos++;\n this.column++;\n return true;\n};\n\nTokenStream.prototype.parseError = function (msg) {\n throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg);\n};\n\nvar unaryInstructionCache = {};\nfunction unaryInstruction(value) {\n var inst = unaryInstructionCache[value];\n if (!inst) {\n inst = unaryInstructionCache[value] = new Instruction(IOP1, value);\n }\n return inst;\n}\n\nvar binaryInstructionCache = {};\nfunction binaryInstruction(value) {\n var inst = binaryInstructionCache[value];\n if (!inst) {\n inst = binaryInstructionCache[value] = new Instruction(IOP2, value);\n }\n return inst;\n}\n\nvar ternaryInstructionCache = {};\nfunction ternaryInstruction(value) {\n var inst = ternaryInstructionCache[value];\n if (!inst) {\n inst = ternaryInstructionCache[value] = new Instruction(IOP3, value);\n }\n return inst;\n}\n\nfunction ParserState(parser, tokenStream) {\n this.parser = parser;\n this.tokens = tokenStream;\n this.current = null;\n this.nextToken = null;\n this.next();\n this.savedCurrent = null;\n this.savedNextToken = null;\n}\n\nParserState.prototype.next = function () {\n this.current = this.nextToken;\n return (this.nextToken = this.tokens.next());\n};\n\nParserState.prototype.tokenMatches = function (token, value) {\n if (typeof value === 'undefined') {\n return true;\n } else if (Array.isArray(value)) {\n return indexOf(value, token.value) >= 0;\n } else if (typeof value === 'function') {\n return value(token);\n } else {\n return token.value === value;\n }\n};\n\nParserState.prototype.save = function () {\n this.savedCurrent = this.current;\n this.savedNextToken = this.nextToken;\n this.tokens.save();\n};\n\nParserState.prototype.restore = function () {\n this.tokens.restore();\n this.current = this.savedCurrent;\n this.nextToken = this.savedNextToken;\n};\n\nParserState.prototype.accept = function (type, value) {\n if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) {\n this.next();\n return true;\n }\n return false;\n};\n\nParserState.prototype.expect = function (type, value) {\n if (!this.accept(type, value)) {\n throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type));\n }\n};\n\nParserState.prototype.parseAtom = function (instr) {\n if (this.accept(TNAME)) {\n instr.push(new Instruction(IVAR, this.current.value));\n } else if (this.accept(TNUMBER)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TSTRING)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TPAREN, '(')) {\n this.parseExpression(instr);\n this.expect(TPAREN, ')');\n } else {\n throw new Error('unexpected ' + this.nextToken);\n }\n};\n\nParserState.prototype.parseExpression = function (instr) {\n this.parseConditionalExpression(instr);\n};\n\nParserState.prototype.parseConditionalExpression = function (instr) {\n this.parseOrExpression(instr);\n while (this.accept(TOP, '?')) {\n var trueBranch = [];\n var falseBranch = [];\n this.parseConditionalExpression(trueBranch);\n this.expect(TOP, ':');\n this.parseConditionalExpression(falseBranch);\n instr.push(new Instruction(IEXPR, trueBranch));\n instr.push(new Instruction(IEXPR, falseBranch));\n instr.push(ternaryInstruction('?'));\n }\n};\n\nParserState.prototype.parseOrExpression = function (instr) {\n this.parseAndExpression(instr);\n while (this.accept(TOP, 'or')) {\n this.parseAndExpression(instr);\n instr.push(binaryInstruction('or'));\n }\n};\n\nParserState.prototype.parseAndExpression = function (instr) {\n this.parseComparison(instr);\n while (this.accept(TOP, 'and')) {\n this.parseComparison(instr);\n instr.push(binaryInstruction('and'));\n }\n};\n\nParserState.prototype.parseComparison = function (instr) {\n this.parseAddSub(instr);\n while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) {\n var op = this.current;\n this.parseAddSub(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseAddSub = function (instr) {\n this.parseTerm(instr);\n while (this.accept(TOP, ['+', '-', '||'])) {\n var op = this.current;\n this.parseTerm(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseTerm = function (instr) {\n this.parseFactor(instr);\n while (this.accept(TOP, ['*', '/', '%'])) {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseFactor = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n this.save();\n if (this.accept(TOP, isPrefixOperator)) {\n if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) {\n this.restore();\n this.parseExponential(instr);\n } else {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(unaryInstruction(op.value));\n }\n } else {\n this.parseExponential(instr);\n }\n};\n\nParserState.prototype.parseExponential = function (instr) {\n this.parsePostfixExpression(instr);\n while (this.accept(TOP, '^')) {\n this.parseFactor(instr);\n instr.push(binaryInstruction('^'));\n }\n};\n\nParserState.prototype.parsePostfixExpression = function (instr) {\n this.parseFunctionCall(instr);\n while (this.accept(TOP, '!')) {\n instr.push(unaryInstruction('!'));\n }\n};\n\nParserState.prototype.parseFunctionCall = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n if (this.accept(TOP, isPrefixOperator)) {\n var op = this.current;\n this.parseAtom(instr);\n instr.push(unaryInstruction(op.value));\n } else {\n this.parseMemberExpression(instr);\n while (this.accept(TPAREN, '(')) {\n if (this.accept(TPAREN, ')')) {\n instr.push(new Instruction(IFUNCALL, 0));\n } else {\n var argCount = this.parseArgumentList(instr);\n instr.push(new Instruction(IFUNCALL, argCount));\n }\n }\n }\n};\n\nParserState.prototype.parseArgumentList = function (instr) {\n var argCount = 0;\n\n while (!this.accept(TPAREN, ')')) {\n this.parseExpression(instr);\n ++argCount;\n while (this.accept(TCOMMA)) {\n this.parseExpression(instr);\n ++argCount;\n }\n }\n\n return argCount;\n};\n\nParserState.prototype.parseMemberExpression = function (instr) {\n this.parseAtom(instr);\n while (this.accept(TOP, '.')) {\n this.expect(TNAME);\n instr.push(new Instruction(IMEMBER, this.current.value));\n }\n};\n\nfunction Parser() {\n this.unaryOps = {\n sin: Math.sin,\n cos: Math.cos,\n tan: Math.tan,\n asin: Math.asin,\n acos: Math.acos,\n atan: Math.atan,\n sinh: Math.sinh || sinh,\n cosh: Math.cosh || cosh,\n tanh: Math.tanh || tanh,\n asinh: Math.asinh || asinh,\n acosh: Math.acosh || acosh,\n atanh: Math.atanh || atanh,\n sqrt: Math.sqrt,\n log: Math.log,\n ln: Math.log,\n lg: Math.log10 || log10,\n log10: Math.log10 || log10,\n abs: Math.abs,\n ceil: Math.ceil,\n floor: Math.floor,\n round: Math.round,\n trunc: Math.trunc || trunc,\n '-': neg,\n '+': Number,\n exp: Math.exp,\n not: not,\n length: stringLength,\n '!': factorial\n };\n\n this.binaryOps = {\n '+': add,\n '-': sub,\n '*': mul,\n '/': div,\n '%': mod,\n '^': Math.pow,\n '||': concat,\n '==': equal,\n '!=': notEqual,\n '>': greaterThan,\n '<': lessThan,\n '>=': greaterThanEqual,\n '<=': lessThanEqual,\n and: andOperator,\n or: orOperator\n };\n\n this.ternaryOps = {\n '?': condition\n };\n\n this.functions = {\n random: random,\n fac: factorial,\n min: Math.min,\n max: Math.max,\n hypot: Math.hypot || hypot,\n pyt: Math.hypot || hypot, // backward compat\n pow: Math.pow,\n atan2: Math.atan2,\n 'if': condition,\n gamma: gamma\n };\n\n this.consts = {\n E: Math.E,\n PI: Math.PI,\n 'true': true,\n 'false': false\n };\n}\n\nParser.parse = function (expr) {\n return new Parser().parse(expr);\n};\n\nParser.evaluate = function (expr, variables) {\n return Parser.parse(expr).evaluate(variables);\n};\n\nParser.prototype = {\n parse: function (expr) {\n var instr = [];\n var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts));\n parserState.parseExpression(instr);\n parserState.expect(TEOF, 'EOF');\n\n return new Expression(instr, this);\n },\n\n evaluate: function (expr, variables) {\n return this.parse(expr).evaluate(variables);\n }\n};\n\nvar parser = {\n Parser: Parser,\n Expression: Expression\n};\n\nreturn parser;\n\n})));\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n\nimport Parser from 'expr-eval'\nimport { Image2D } from '../core/Image2D.js';\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\n\n/**\n* An instance of ImageBlendExpressionFilter takes Image2D inputs, as many as\n* we need as long as they have the same size and the same number of components\n* per pixel.\n* This filter blends images pixel values using a literal expression. This expression\n* should be set using `setMetadata( \"expresssion\", \"A * B\" )` , where `A` and `B`\n* are the categories set in input.\n*\n*/\nclass ImageBlendExpressionFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n this._addOutput( Image2D );\n\n var parser = new Parser.Parser();\n var expr = parser.parse('2 * x + 1');\n console.log(expr.evaluate({ x: 3 })); // 7\n\n // or\n //Parser.evaluate('6 * x', { x: 7 }) // 42\n\n }\n\n\n\n update(){\n\n // the metadata was not set\n if(!this.hasMetadata(\"expression\")){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires a blending expression.\\nUse 'setMetadata(\\\"expression\\\", \\\"...\\\")' to set it.\" );\n return;\n }\n\n if( !this.hasSameNcppInput() || !this.hasSameSizeInput() ){\n return;\n }\n\n if(!this.getNumberOfInputs()){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires at least one inpupt.\");\n return;\n }\n\n var inputCategories = Object.keys( this._input );\n var firstInput = this._getInput( inputCategories[0] );\n var outputBuffer = firstInput.getDataCopy();\n var parser = new Parser.Parser();\n var expr = parser.parse( this.getMetadata(\"expression\") );\n\n for(var i=0; i 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n\n /**\n * Check if all input image have the same size.\n * @return {Boolean} true is same size, false if not.\n */\n hasSameSizeInput(){\n var that = this;\n var inputCategories = Object.keys( this._input );\n var sameSize = true;\n\n var widths = [];\n var heights = [];\n\n inputCategories.forEach( function(key){\n widths.push( that._getInput( key ).getWidth() );\n heights.push( that._getInput( key ).getHeight() );\n });\n\n // if all input have the same size\n if(widths.length){\n widths.sort();\n heights.sort();\n sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) &&\n (heights[ 0 ] == heights[ heights.length -1 ] );\n\n if( !sameSize ){\n console.warn(\"Input image do not all have the same size. Filter not valid\");\n }\n }\n\n return sameSize;\n }\n\n\n /**\n * Check if all the inputs have the same number of component per pixel.\n * @return {Boolean} true if the ncpp are the same for all input image\n */\n hasSameNcppInput(){\n var inputCategories = Object.keys( this._input );\n\n // if no input, return false\n if(!inputCategories.length)\n return false;\n\n var ncpp = this._getInput( inputCategories[0] ).getComponentsPerPixel();\n\n for(var i=0; i 1) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = binaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value));\n nstack.push(item);\n } else if (type === IOP3 && nstack.length > 2) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(n1.value ? n2.value : n3.value);\n } else {\n f = ternaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value));\n nstack.push(item);\n }\n } else if (type === IOP1 && nstack.length > 0) {\n n1 = nstack.pop();\n f = unaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value));\n nstack.push(item);\n } else if (type === IEXPR) {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values)));\n } else if (type === IMEMBER && nstack.length > 0) {\n n1 = nstack.pop();\n nstack.push(new Instruction(INUMBER, n1.value[item.value]));\n } else {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(item);\n }\n }\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n return newexpression;\n}\n\nExpression.prototype.simplify = function (values) {\n values = values || {};\n return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser);\n};\n\nfunction substitute(tokens, variable, expr) {\n var newexpression = [];\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === IVAR && item.value === variable) {\n for (var j = 0; j < expr.tokens.length; j++) {\n var expritem = expr.tokens[j];\n var replitem;\n if (expritem.type === IOP1) {\n replitem = unaryInstruction(expritem.value);\n } else if (expritem.type === IOP2) {\n replitem = binaryInstruction(expritem.value);\n } else if (expritem.type === IOP3) {\n replitem = ternaryInstruction(expritem.value);\n } else {\n replitem = new Instruction(expritem.type, expritem.value);\n }\n newexpression.push(replitem);\n }\n } else if (type === IEXPR) {\n newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr)));\n } else {\n newexpression.push(item);\n }\n }\n return newexpression;\n}\n\nExpression.prototype.substitute = function (variable, expr) {\n if (!(expr instanceof Expression)) {\n expr = this.parser.parse(String(expr));\n }\n\n return new Expression(substitute(this.tokens, variable, expr), this.parser);\n};\n\nfunction evaluate(tokens, expr, values) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n nstack.push(item.value);\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = expr.binaryOps[item.value];\n nstack.push(f(n1, n2));\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(evaluate(n1 ? n2 : n3, expr, values));\n } else {\n f = expr.ternaryOps[item.value];\n nstack.push(f(n1, n2, n3));\n }\n } else if (type === IVAR) {\n if (item.value in expr.functions) {\n nstack.push(expr.functions[item.value]);\n } else {\n var v = values[item.value];\n if (v !== undefined) {\n nstack.push(v);\n } else {\n throw new Error('undefined variable: ' + item.value);\n }\n }\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = expr.unaryOps[item.value];\n nstack.push(f(n1));\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n if (f.apply && f.call) {\n nstack.push(f.apply(undefined, args));\n } else {\n throw new Error(f + ' is not a function');\n }\n } else if (type === IEXPR) {\n nstack.push(item.value);\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1[item.value]);\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.evaluate = function (values) {\n values = values || {};\n return evaluate(this.tokens, this, values);\n};\n\nfunction expressionToString(tokens, toJS) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n if (typeof item.value === 'number' && item.value < 0) {\n nstack.push('(' + item.value + ')');\n } else {\n nstack.push(escapeValue(item.value));\n }\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (toJS) {\n if (f === '^') {\n nstack.push('Math.pow(' + n1 + ', ' + n2 + ')');\n } else if (f === 'and') {\n nstack.push('(!!' + n1 + ' && !!' + n2 + ')');\n } else if (f === 'or') {\n nstack.push('(!!' + n1 + ' || !!' + n2 + ')');\n } else if (f === '||') {\n nstack.push('(String(' + n1 + ') + String(' + n2 + '))');\n } else if (f === '==') {\n nstack.push('(' + n1 + ' === ' + n2 + ')');\n } else if (f === '!=') {\n nstack.push('(' + n1 + ' !== ' + n2 + ')');\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (f === '?') {\n nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');\n } else {\n throw new Error('invalid Expression');\n }\n } else if (type === IVAR) {\n nstack.push(item.value);\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = item.value;\n if (f === '-' || f === '+') {\n nstack.push('(' + f + n1 + ')');\n } else if (toJS) {\n if (f === 'not') {\n nstack.push('(' + '!' + n1 + ')');\n } else if (f === '!') {\n nstack.push('fac(' + n1 + ')');\n } else {\n nstack.push(f + '(' + n1 + ')');\n }\n } else if (f === '!') {\n nstack.push('(' + n1 + '!)');\n } else {\n nstack.push('(' + f + ' ' + n1 + ')');\n }\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n nstack.push(f + '(' + args.join(', ') + ')');\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1 + '.' + item.value);\n } else if (type === IEXPR) {\n nstack.push('(' + expressionToString(item.value, toJS) + ')');\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.toString = function () {\n return expressionToString(this.tokens, false);\n};\n\nfunction getSymbols(tokens, symbols) {\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) {\n symbols.push(item.value);\n } else if (item.type === IEXPR) {\n getSymbols(item.value, symbols);\n }\n }\n}\n\nExpression.prototype.symbols = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n return vars;\n};\n\nExpression.prototype.variables = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n var functions = this.functions;\n return vars.filter(function (name) {\n return !(name in functions);\n });\n};\n\nExpression.prototype.toJSFunction = function (param, variables) {\n var expr = this;\n var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func\n return function () {\n return f.apply(expr, arguments);\n };\n};\n\nfunction add(a, b) {\n return Number(a) + Number(b);\n}\nfunction sub(a, b) {\n return a - b;\n}\nfunction mul(a, b) {\n return a * b;\n}\nfunction div(a, b) {\n return a / b;\n}\nfunction mod(a, b) {\n return a % b;\n}\nfunction concat(a, b) {\n return '' + a + b;\n}\nfunction equal(a, b) {\n return a === b;\n}\nfunction notEqual(a, b) {\n return a !== b;\n}\nfunction greaterThan(a, b) {\n return a > b;\n}\nfunction lessThan(a, b) {\n return a < b;\n}\nfunction greaterThanEqual(a, b) {\n return a >= b;\n}\nfunction lessThanEqual(a, b) {\n return a <= b;\n}\nfunction andOperator(a, b) {\n return Boolean(a && b);\n}\nfunction orOperator(a, b) {\n return Boolean(a || b);\n}\nfunction sinh(a) {\n return ((Math.exp(a) - Math.exp(-a)) / 2);\n}\nfunction cosh(a) {\n return ((Math.exp(a) + Math.exp(-a)) / 2);\n}\nfunction tanh(a) {\n if (a === Infinity) return 1;\n if (a === -Infinity) return -1;\n return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a));\n}\nfunction asinh(a) {\n if (a === -Infinity) return a;\n return Math.log(a + Math.sqrt(a * a + 1));\n}\nfunction acosh(a) {\n return Math.log(a + Math.sqrt(a * a - 1));\n}\nfunction atanh(a) {\n return (Math.log((1 + a) / (1 - a)) / 2);\n}\nfunction log10(a) {\n return Math.log(a) * Math.LOG10E;\n}\nfunction neg(a) {\n return -a;\n}\nfunction not(a) {\n return !a;\n}\nfunction trunc(a) {\n return a < 0 ? Math.ceil(a) : Math.floor(a);\n}\nfunction random(a) {\n return Math.random() * (a || 1);\n}\nfunction factorial(a) { // a!\n return gamma(a + 1);\n}\nfunction stringLength(s) {\n return String(s).length;\n}\n\nfunction hypot() {\n var sum = 0;\n var larg = 0;\n for (var i = 0, L = arguments.length; i < L; i++) {\n var arg = Math.abs(arguments[i]);\n var div;\n if (larg < arg) {\n div = larg / arg;\n sum = sum * div * div + 1;\n larg = arg;\n } else if (arg > 0) {\n div = arg / larg;\n sum += div * div;\n } else {\n sum += arg;\n }\n }\n return larg === Infinity ? Infinity : larg * Math.sqrt(sum);\n}\n\nfunction condition(cond, yep, nope) {\n return cond ? yep : nope;\n}\n\nfunction isInteger(value) {\n return isFinite(value) && (value === Math.round(value));\n}\n\nvar GAMMA_G = 4.7421875;\nvar GAMMA_P = [\n 0.99999999999999709182,\n 57.156235665862923517, -59.597960355475491248,\n 14.136097974741747174, -0.49191381609762019978,\n 0.33994649984811888699e-4,\n 0.46523628927048575665e-4, -0.98374475304879564677e-4,\n 0.15808870322491248884e-3, -0.21026444172410488319e-3,\n 0.21743961811521264320e-3, -0.16431810653676389022e-3,\n 0.84418223983852743293e-4, -0.26190838401581408670e-4,\n 0.36899182659531622704e-5\n];\n\n// Gamma function from math.js\nfunction gamma(n) {\n var t, x;\n\n if (isInteger(n)) {\n if (n <= 0) {\n return isFinite(n) ? Infinity : NaN;\n }\n\n if (n > 171) {\n return Infinity; // Will overflow\n }\n\n var value = n - 2;\n var res = n - 1;\n while (value > 1) {\n res *= value;\n value--;\n }\n\n if (res === 0) {\n res = 1; // 0! is per definition 1\n }\n\n return res;\n }\n\n if (n < 0.5) {\n return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));\n }\n\n if (n >= 171.35) {\n return Infinity; // will overflow\n }\n\n if (n > 85.0) { // Extended Stirling Approx\n var twoN = n * n;\n var threeN = twoN * n;\n var fourN = threeN * n;\n var fiveN = fourN * n;\n return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) *\n (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) -\n 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) +\n 5246819 / (75246796800 * fiveN * n));\n }\n\n --n;\n x = GAMMA_P[0];\n for (var i = 1; i < GAMMA_P.length; ++i) {\n x += GAMMA_P[i] / (n + i);\n }\n\n t = n + GAMMA_G + 0.5;\n return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;\n}\n\nvar TEOF = 'TEOF';\nvar TOP = 'TOP';\nvar TNUMBER = 'TNUMBER';\nvar TSTRING = 'TSTRING';\nvar TPAREN = 'TPAREN';\nvar TCOMMA = 'TCOMMA';\nvar TNAME = 'TNAME';\n\nfunction Token(type, value, line, column) {\n this.type = type;\n this.value = value;\n this.line = line;\n this.column = column;\n}\n\nToken.prototype.toString = function () {\n return this.type + ': ' + this.value;\n};\n\nfunction TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) {\n this.pos = 0;\n this.line = 0;\n this.column = 0;\n this.current = null;\n this.unaryOps = unaryOps;\n this.binaryOps = binaryOps;\n this.ternaryOps = ternaryOps;\n this.consts = consts;\n this.expression = expression;\n this.savedPosition = 0;\n this.savedCurrent = null;\n this.savedLine = 0;\n this.savedColumn = 0;\n}\n\nTokenStream.prototype.newToken = function (type, value, line, column) {\n return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column);\n};\n\nTokenStream.prototype.save = function () {\n this.savedPosition = this.pos;\n this.savedCurrent = this.current;\n this.savedLine = this.line;\n this.savedColumn = this.column;\n};\n\nTokenStream.prototype.restore = function () {\n this.pos = this.savedPosition;\n this.current = this.savedCurrent;\n this.line = this.savedLine;\n this.column = this.savedColumn;\n};\n\nTokenStream.prototype.next = function () {\n if (this.pos >= this.expression.length) {\n return this.newToken(TEOF, 'EOF');\n }\n\n if (this.isWhitespace() || this.isComment()) {\n return this.next();\n } else if (this.isNumber() ||\n this.isOperator() ||\n this.isString() ||\n this.isParen() ||\n this.isComma() ||\n this.isNamedOp() ||\n this.isConst() ||\n this.isName()) {\n return this.current;\n } else {\n this.parseError('Unknown character \"' + this.expression.charAt(this.pos) + '\"');\n }\n};\n\nTokenStream.prototype.isString = function () {\n var r = false;\n var startLine = this.line;\n var startColumn = this.column;\n var startPos = this.pos;\n var quote = this.expression.charAt(startPos);\n\n if (quote === '\\'' || quote === '\"') {\n this.pos++;\n this.column++;\n var index = this.expression.indexOf(quote, startPos + 1);\n while (index >= 0 && this.pos < this.expression.length) {\n this.pos = index + 1;\n if (this.expression.charAt(index - 1) !== '\\\\') {\n var rawString = this.expression.substring(startPos + 1, index);\n this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn);\n var newLine = rawString.indexOf('\\n');\n var lastNewline = -1;\n while (newLine >= 0) {\n this.line++;\n this.column = 0;\n lastNewline = newLine;\n newLine = rawString.indexOf('\\n', newLine + 1);\n }\n this.column += rawString.length - lastNewline;\n r = true;\n break;\n }\n index = this.expression.indexOf(quote, index + 1);\n }\n }\n return r;\n};\n\nTokenStream.prototype.isParen = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '(' || char === ')') {\n this.current = this.newToken(TPAREN, char);\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isComma = function () {\n var char = this.expression.charAt(this.pos);\n if (char === ',') {\n this.current = this.newToken(TCOMMA, ',');\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isConst = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.consts) {\n this.current = this.newToken(TNUMBER, this.consts[str]);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isNamedOp = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) {\n this.current = this.newToken(TOP, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isName = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n this.current = this.newToken(TNAME, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isWhitespace = function () {\n var r = false;\n var char = this.expression.charAt(this.pos);\n while (char === ' ' || char === '\\t' || char === '\\n' || char === '\\r') {\n r = true;\n this.pos++;\n this.column++;\n if (char === '\\n') {\n this.line++;\n this.column = 0;\n }\n if (this.pos >= this.expression.length) {\n break;\n }\n char = this.expression.charAt(this.pos);\n }\n return r;\n};\n\nvar codePointPattern = /^[0-9a-f]{4}$/i;\n\nTokenStream.prototype.unescape = function (v) {\n var index = v.indexOf('\\\\');\n if (index < 0) {\n return v;\n }\n\n var buffer = v.substring(0, index);\n while (index >= 0) {\n var c = v.charAt(++index);\n switch (c) {\n case '\\'':\n buffer += '\\'';\n break;\n case '\"':\n buffer += '\"';\n break;\n case '\\\\':\n buffer += '\\\\';\n break;\n case '/':\n buffer += '/';\n break;\n case 'b':\n buffer += '\\b';\n break;\n case 'f':\n buffer += '\\f';\n break;\n case 'n':\n buffer += '\\n';\n break;\n case 'r':\n buffer += '\\r';\n break;\n case 't':\n buffer += '\\t';\n break;\n case 'u':\n // interpret the following 4 characters as the hex of the unicode code point\n var codePoint = v.substring(index + 1, index + 5);\n if (!codePointPattern.test(codePoint)) {\n this.parseError('Illegal escape sequence: \\\\u' + codePoint);\n }\n buffer += String.fromCharCode(parseInt(codePoint, 16));\n index += 4;\n break;\n default:\n throw this.parseError('Illegal escape sequence: \"\\\\' + c + '\"');\n }\n ++index;\n var backslash = v.indexOf('\\\\', index);\n buffer += v.substring(index, backslash < 0 ? v.length : backslash);\n index = backslash;\n }\n\n return buffer;\n};\n\nTokenStream.prototype.isComment = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '/' && this.expression.charAt(this.pos + 1) === '*') {\n var startPos = this.pos;\n this.pos = this.expression.indexOf('*/', this.pos) + 2;\n if (this.pos === 1) {\n this.pos = this.expression.length;\n }\n var comment = this.expression.substring(startPos, this.pos);\n var newline = comment.indexOf('\\n');\n while (newline >= 0) {\n this.line++;\n this.column = comment.length - newline;\n newline = comment.indexOf('\\n', newline + 1);\n }\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isNumber = function () {\n var valid = false;\n var pos = this.pos;\n var startPos = pos;\n var resetPos = pos;\n var column = this.column;\n var resetColumn = column;\n var foundDot = false;\n var foundDigits = false;\n var char;\n\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) {\n if (char === '.') {\n foundDot = true;\n } else {\n foundDigits = true;\n }\n pos++;\n column++;\n valid = foundDigits;\n } else {\n break;\n }\n }\n\n if (valid) {\n resetPos = pos;\n resetColumn = column;\n }\n\n if (char === 'e' || char === 'E') {\n pos++;\n column++;\n var acceptSign = true;\n var validExponent = false;\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if (acceptSign && (char === '+' || char === '-')) {\n acceptSign = false;\n } else if (char >= '0' && char <= '9') {\n validExponent = true;\n acceptSign = false;\n } else {\n break;\n }\n pos++;\n column++;\n }\n\n if (!validExponent) {\n pos = resetPos;\n column = resetColumn;\n }\n }\n\n if (valid) {\n this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos)));\n this.pos = pos;\n this.column = column;\n } else {\n this.pos = resetPos;\n this.column = resetColumn;\n }\n return valid;\n};\n\nTokenStream.prototype.isOperator = function () {\n var char = this.expression.charAt(this.pos);\n\n if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') {\n this.current = this.newToken(TOP, char);\n } else if (char === '∙' || char === '•') {\n this.current = this.newToken(TOP, '*');\n } else if (char === '>') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '>=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '>');\n }\n } else if (char === '<') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '<=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '<');\n }\n } else if (char === '|') {\n if (this.expression.charAt(this.pos + 1) === '|') {\n this.current = this.newToken(TOP, '||');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '=') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '==');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '!') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '!=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, char);\n }\n } else {\n return false;\n }\n this.pos++;\n this.column++;\n return true;\n};\n\nTokenStream.prototype.parseError = function (msg) {\n throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg);\n};\n\nvar unaryInstructionCache = {};\nfunction unaryInstruction(value) {\n var inst = unaryInstructionCache[value];\n if (!inst) {\n inst = unaryInstructionCache[value] = new Instruction(IOP1, value);\n }\n return inst;\n}\n\nvar binaryInstructionCache = {};\nfunction binaryInstruction(value) {\n var inst = binaryInstructionCache[value];\n if (!inst) {\n inst = binaryInstructionCache[value] = new Instruction(IOP2, value);\n }\n return inst;\n}\n\nvar ternaryInstructionCache = {};\nfunction ternaryInstruction(value) {\n var inst = ternaryInstructionCache[value];\n if (!inst) {\n inst = ternaryInstructionCache[value] = new Instruction(IOP3, value);\n }\n return inst;\n}\n\nfunction ParserState(parser, tokenStream) {\n this.parser = parser;\n this.tokens = tokenStream;\n this.current = null;\n this.nextToken = null;\n this.next();\n this.savedCurrent = null;\n this.savedNextToken = null;\n}\n\nParserState.prototype.next = function () {\n this.current = this.nextToken;\n return (this.nextToken = this.tokens.next());\n};\n\nParserState.prototype.tokenMatches = function (token, value) {\n if (typeof value === 'undefined') {\n return true;\n } else if (Array.isArray(value)) {\n return indexOf(value, token.value) >= 0;\n } else if (typeof value === 'function') {\n return value(token);\n } else {\n return token.value === value;\n }\n};\n\nParserState.prototype.save = function () {\n this.savedCurrent = this.current;\n this.savedNextToken = this.nextToken;\n this.tokens.save();\n};\n\nParserState.prototype.restore = function () {\n this.tokens.restore();\n this.current = this.savedCurrent;\n this.nextToken = this.savedNextToken;\n};\n\nParserState.prototype.accept = function (type, value) {\n if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) {\n this.next();\n return true;\n }\n return false;\n};\n\nParserState.prototype.expect = function (type, value) {\n if (!this.accept(type, value)) {\n throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type));\n }\n};\n\nParserState.prototype.parseAtom = function (instr) {\n if (this.accept(TNAME)) {\n instr.push(new Instruction(IVAR, this.current.value));\n } else if (this.accept(TNUMBER)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TSTRING)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TPAREN, '(')) {\n this.parseExpression(instr);\n this.expect(TPAREN, ')');\n } else {\n throw new Error('unexpected ' + this.nextToken);\n }\n};\n\nParserState.prototype.parseExpression = function (instr) {\n this.parseConditionalExpression(instr);\n};\n\nParserState.prototype.parseConditionalExpression = function (instr) {\n this.parseOrExpression(instr);\n while (this.accept(TOP, '?')) {\n var trueBranch = [];\n var falseBranch = [];\n this.parseConditionalExpression(trueBranch);\n this.expect(TOP, ':');\n this.parseConditionalExpression(falseBranch);\n instr.push(new Instruction(IEXPR, trueBranch));\n instr.push(new Instruction(IEXPR, falseBranch));\n instr.push(ternaryInstruction('?'));\n }\n};\n\nParserState.prototype.parseOrExpression = function (instr) {\n this.parseAndExpression(instr);\n while (this.accept(TOP, 'or')) {\n this.parseAndExpression(instr);\n instr.push(binaryInstruction('or'));\n }\n};\n\nParserState.prototype.parseAndExpression = function (instr) {\n this.parseComparison(instr);\n while (this.accept(TOP, 'and')) {\n this.parseComparison(instr);\n instr.push(binaryInstruction('and'));\n }\n};\n\nParserState.prototype.parseComparison = function (instr) {\n this.parseAddSub(instr);\n while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) {\n var op = this.current;\n this.parseAddSub(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseAddSub = function (instr) {\n this.parseTerm(instr);\n while (this.accept(TOP, ['+', '-', '||'])) {\n var op = this.current;\n this.parseTerm(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseTerm = function (instr) {\n this.parseFactor(instr);\n while (this.accept(TOP, ['*', '/', '%'])) {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseFactor = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n this.save();\n if (this.accept(TOP, isPrefixOperator)) {\n if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) {\n this.restore();\n this.parseExponential(instr);\n } else {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(unaryInstruction(op.value));\n }\n } else {\n this.parseExponential(instr);\n }\n};\n\nParserState.prototype.parseExponential = function (instr) {\n this.parsePostfixExpression(instr);\n while (this.accept(TOP, '^')) {\n this.parseFactor(instr);\n instr.push(binaryInstruction('^'));\n }\n};\n\nParserState.prototype.parsePostfixExpression = function (instr) {\n this.parseFunctionCall(instr);\n while (this.accept(TOP, '!')) {\n instr.push(unaryInstruction('!'));\n }\n};\n\nParserState.prototype.parseFunctionCall = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n if (this.accept(TOP, isPrefixOperator)) {\n var op = this.current;\n this.parseAtom(instr);\n instr.push(unaryInstruction(op.value));\n } else {\n this.parseMemberExpression(instr);\n while (this.accept(TPAREN, '(')) {\n if (this.accept(TPAREN, ')')) {\n instr.push(new Instruction(IFUNCALL, 0));\n } else {\n var argCount = this.parseArgumentList(instr);\n instr.push(new Instruction(IFUNCALL, argCount));\n }\n }\n }\n};\n\nParserState.prototype.parseArgumentList = function (instr) {\n var argCount = 0;\n\n while (!this.accept(TPAREN, ')')) {\n this.parseExpression(instr);\n ++argCount;\n while (this.accept(TCOMMA)) {\n this.parseExpression(instr);\n ++argCount;\n }\n }\n\n return argCount;\n};\n\nParserState.prototype.parseMemberExpression = function (instr) {\n this.parseAtom(instr);\n while (this.accept(TOP, '.')) {\n this.expect(TNAME);\n instr.push(new Instruction(IMEMBER, this.current.value));\n }\n};\n\nfunction Parser() {\n this.unaryOps = {\n sin: Math.sin,\n cos: Math.cos,\n tan: Math.tan,\n asin: Math.asin,\n acos: Math.acos,\n atan: Math.atan,\n sinh: Math.sinh || sinh,\n cosh: Math.cosh || cosh,\n tanh: Math.tanh || tanh,\n asinh: Math.asinh || asinh,\n acosh: Math.acosh || acosh,\n atanh: Math.atanh || atanh,\n sqrt: Math.sqrt,\n log: Math.log,\n ln: Math.log,\n lg: Math.log10 || log10,\n log10: Math.log10 || log10,\n abs: Math.abs,\n ceil: Math.ceil,\n floor: Math.floor,\n round: Math.round,\n trunc: Math.trunc || trunc,\n '-': neg,\n '+': Number,\n exp: Math.exp,\n not: not,\n length: stringLength,\n '!': factorial\n };\n\n this.binaryOps = {\n '+': add,\n '-': sub,\n '*': mul,\n '/': div,\n '%': mod,\n '^': Math.pow,\n '||': concat,\n '==': equal,\n '!=': notEqual,\n '>': greaterThan,\n '<': lessThan,\n '>=': greaterThanEqual,\n '<=': lessThanEqual,\n and: andOperator,\n or: orOperator\n };\n\n this.ternaryOps = {\n '?': condition\n };\n\n this.functions = {\n random: random,\n fac: factorial,\n min: Math.min,\n max: Math.max,\n hypot: Math.hypot || hypot,\n pyt: Math.hypot || hypot, // backward compat\n pow: Math.pow,\n atan2: Math.atan2,\n 'if': condition,\n gamma: gamma\n };\n\n this.consts = {\n E: Math.E,\n PI: Math.PI,\n 'true': true,\n 'false': false\n };\n}\n\nParser.parse = function (expr) {\n return new Parser().parse(expr);\n};\n\nParser.evaluate = function (expr, variables) {\n return Parser.parse(expr).evaluate(variables);\n};\n\nParser.prototype = {\n parse: function (expr) {\n var instr = [];\n var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts));\n parserState.parseExpression(instr);\n parserState.expect(TEOF, 'EOF');\n\n return new Expression(instr, this);\n },\n\n evaluate: function (expr, variables) {\n return this.parse(expr).evaluate(variables);\n }\n};\n\nvar parser = {\n Parser: Parser,\n Expression: Expression\n};\n\nreturn parser;\n\n})));\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n\nimport Parser from 'expr-eval'\nimport { Image2D } from '../core/Image2D.js';\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\n\n/**\n* An instance of ImageBlendExpressionFilter takes Image2D inputs, as many as\n* we need as long as they have the same size and the same number of components\n* per pixel.\n* This filter blends images pixel values using a literal expression. This expression\n* should be set using `setMetadata( \"expresssion\", \"A * B\" )` , where `A` and `B`\n* are the categories set in input.\n*\n*/\nclass ImageBlendExpressionFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n this._addOutput( Image2D );\n }\n\n\n\n update(){\n\n // the metadata was not set\n if(!this.hasMetadata(\"expression\")){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires a blending expression.\\nUse 'setMetadata(\\\"expression\\\", \\\"...\\\")' to set it.\" );\n return;\n }\n\n if( !this.hasSameNcppInput() || !this.hasSameSizeInput() ){\n return;\n }\n\n if(!this.getNumberOfInputs()){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires at least one inpupt.\");\n return;\n }\n\n var inputCategories = this.getInputCategories();\n var firstInput = this._getInput( inputCategories[0] );\n var outputBuffer = firstInput.getDataCopy();\n var parser = new Parser.Parser();\n var expr = parser.parse( this.getMetadata(\"expression\") );\n\n for(var i=0; iPixpipejs
  • opening a distant image file with AJAX request, using pixpipe.UrlImageReader
  • creating a pixpipe.Image2D with the same size as the first, but monoband.
    • -
  • run a pixpipe.ForEachPixelImageFilter ont the monoband image to create a radial gradient (values in [0, 1])
    • -
  • multiply the loaded image with the gradient image using a pixpipe.SpectralScaleImageFilter
    • +
  • run a pixpipe.ForEachPixelImageFilter on the monoband image to create a radial gradient (values in [0, 1])
    • +
  • blend the loaded image and the gradient using a pixpipe.ImageBlendExpressionFilter
  • displaying the final output in a canvas using pixpipe.CanvasImageWriter
@@ -82,8 +82,11 @@

Pixpipejs

blendingFilter.setMetadata("expression", "A*B"); + var t0 = performance.now(); // apply the gradient on the loaded image blendingFilter.update(); + var t1 = performance.now(); + console.log("Call to doSomething took " + (t1 - t0) + " milliseconds."); // create a filter to write the image into a canvas var imageToCanvasFilter = new pixpipe.CanvasImageWriter( ); diff --git a/examples/imageBlending.html b/examples/imageBlending.html new file mode 100644 index 0000000..c660f34 --- /dev/null +++ b/examples/imageBlending.html @@ -0,0 +1,83 @@ + + + Mask and blending + + + + + + + + +

Pixpipejs

+

+ This does the following : +

    +
  • opening a distant image (1) file with AJAX request, using pixpipe.UrlImageReader
    • +
  • opening another distant image (2) file with AJAX request, using pixpipe.UrlImageReader
    • +
  • (image 1 and image 2 have the same size and same number of band)
    • +
  • use image 2 as a mask and blend both using a pixpipe.ImageBlendExpressionFilter
    • +
  • displaying the final output in a canvas using pixpipe.CanvasImageWriter
    • +
+ +

+ +

+

The original image and the mask:

+ + +

+ +

+

The masked image:

+
+

+ + + + + diff --git a/examples/imageBlending2.html b/examples/imageBlending2.html new file mode 100644 index 0000000..cb5d1c3 --- /dev/null +++ b/examples/imageBlending2.html @@ -0,0 +1,80 @@ + + + Mask and blending + + + + + + + + +

Pixpipejs

+

+ This does the following : +

    +
  • opening a distant image (1) file with AJAX request, using pixpipe.UrlImageReader
    • +
  • opening another distant image (2) file with AJAX request, using pixpipe.UrlImageReader
    • +
  • (image 1 and image 2 have the same size and same number of band)
    • +
  • use image 2 as a mask and blend both using a pixpipe.ImageBlendExpressionFilter
    • +
  • displaying the final output in a canvas using pixpipe.CanvasImageWriter
    • +
+ +

+ +

+

The original image and the mask:

+ + +

+ +

+

The blended image, only the lighter parts of the second images are visible:

+
+

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Pixpipejs

+

+ This does the following : +

    +
  • opening several distant image files with AJAX request, using a single pixpipe.UrlImageReader instance
    • +
  • displaying them in a canvas using pixpipe.CanvasImageWriter
    • +
+

+ +
+
+ + + + + diff --git a/package.json b/package.json index 1bddef0..2eb3726 100644 --- a/package.json +++ b/package.json @@ -32,6 +32,7 @@ "expr-eval": "^1.0.0" }, "devDependencies": { + "documentation": "^3.0.4", "gulp": "^3.9.1", "gulp-rollup": "^2.11.0", "gulp-util": "^3.0.8", diff --git a/src/core/Filter.js b/src/core/Filter.js index 2af95a0..7c96101 100644 --- a/src/core/Filter.js +++ b/src/core/Filter.js @@ -115,7 +115,7 @@ class Filter extends PipelineElement { }else{ // TODO: if output object exists but is not from dataType: error! //outputObject = this._output[category]; - console.warn("An output of category " + category + " was already defined."); + console.warn("An output of category " + category + " was already defined. Nothing to be done."); } //return outputObject; @@ -137,6 +137,21 @@ class Filter extends PipelineElement { } + /** + * @return {Array} all the input categories as an array of string + */ + getInputCategories(){ + return Object.keys( this._input ); + } + + + /** + * @return {Array} all the output categories as an array of string + */ + getOutputCategories(){ + return Object.keys( this._output ); + } + /** * Same as PixpipeObject.setMetadata but add the _isOutputReady to false. */ @@ -262,9 +277,19 @@ class Filter extends PipelineElement { * @return {Number} the number of inputs */ getNumberOfInputs(){ - return Object.keys( this._inputValidator ).length; + return Object.keys( this._input ).length; + } + + + /** + * @return {Number} the number of outputs + */ + getNumberOfOutputs(){ + return Object.keys( this._output ).length; } + + } /* END class Filter */ export { Filter } diff --git a/src/filter/ImageBlendExpressionFilter.js b/src/filter/ImageBlendExpressionFilter.js index 4c01952..b34f19b 100644 --- a/src/filter/ImageBlendExpressionFilter.js +++ b/src/filter/ImageBlendExpressionFilter.js @@ -19,20 +19,21 @@ import { ImageToImageFilter } from '../core/ImageToImageFilter.js'; * should be set using `setMetadata( "expresssion", "A * B" )` , where `A` and `B` * are the categories set in input. * +* Using a blending expression is the aesiest way to test a blending but it is a +* pretty slow process since the expresion has to be evaluated for every process. +* To speed-up your process, it is recomended to develop a new filter that does +* exactly (and only) the blending method you want. +* +* usage: examples/imageBlending.html +* usage: examples/imageBlending2.html +* usage: examples/forEachPixelGradientBlend.html +* */ class ImageBlendExpressionFilter extends ImageToImageFilter { constructor(){ super(); this._addOutput( Image2D ); - - var parser = new Parser.Parser(); - var expr = parser.parse('2 * x + 1'); - console.log(expr.evaluate({ x: 3 })); // 7 - - // or - //Parser.evaluate('6 * x', { x: 7 }) // 42 - } @@ -54,7 +55,7 @@ class ImageBlendExpressionFilter extends ImageToImageFilter { return; } - var inputCategories = Object.keys( this._input ); + var inputCategories = this.getInputCategories(); var firstInput = this._getInput( inputCategories[0] ); var outputBuffer = firstInput.getDataCopy(); var parser = new Parser.Parser(); @@ -79,11 +80,11 @@ class ImageBlendExpressionFilter extends ImageToImageFilter { firstInput.getHeight() ); - } + } /* END of class ImageBlendExpressionFilter */ diff --git a/src/io/CanvasImageWriter.js b/src/io/CanvasImageWriter.js index 1781a58..64a8cbb 100644 --- a/src/io/CanvasImageWriter.js +++ b/src/io/CanvasImageWriter.js @@ -80,7 +80,6 @@ class CanvasImageWriter extends Filter{ return; var image = this._input[0]; - console.log(image); var ncppSrc = image.getComponentsPerPixel(); // only Image2d with 1 or 4 bands can be displayed diff --git a/src/io/UrlImageReader.js b/src/io/UrlImageReader.js index d8b51d2..180d7a9 100644 --- a/src/io/UrlImageReader.js +++ b/src/io/UrlImageReader.js @@ -16,9 +16,13 @@ import { Filter } from '../core/Filter.js'; * Reading a file from URL takes an AJAX request, which is asynchronous. For this * reason, what happens next, once the Image2D is created must take place in the * callback defined by the event .on("imageLoaded", function(){ ... }). -* * Usage: examples/urlToImage2D.html * +* UrlImageReader can also load multiple images and call the "imageLoaded" event +* only when all of them are loaded. +* Usage: examples/urlToImage2D_multiple.html +* +* * @example * var url2ImgFilter = new pixpipe.UrlImageReader( ... ); * url2ImgFilter.addInput( "images/sd.jpg" ); @@ -32,15 +36,16 @@ class UrlImageReader extends Filter { */ constructor( callback ){ super(); + this._loadedCounter = 0; + this._addOutput( Image2D, 0 ); - this._addOutput( Image2D ); } /** * Run the reading */ - update(){ + update_ORIG(){ var that = this; var img = new Image(); @@ -57,12 +62,14 @@ class UrlImageReader extends Filter { var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); var dataArray = imageData.data; - var img2D = that.getOutput(); + var img2D = that.getOutput( category ); img2D.setData( dataArray, img.width, img.height); - if("imageLoaded" in that._events){ + // call the loaded callback only when all images are loaded + if( "imageLoaded" in that._events){ that._events.imageLoaded( that ) } + }catch(e){ console.error(e); } @@ -73,6 +80,52 @@ class UrlImageReader extends Filter { } + update(){ + var that = this; + var inputCategories = this.getInputCategories(); + + inputCategories.forEach( function(category){ + that._addOutput( Image2D, category ); + that._loadImage( category ); + }) + } + + + _loadImage( inputCategory ){ + var that = this; + + var img = new Image(); + img.src = this._getInput(inputCategory); + + img.onload = function() { + var tmpCanvas = document.createElement("canvas"); + tmpCanvas.width = img.width; + tmpCanvas.height = img.height; + var canvasContext = tmpCanvas.getContext('2d'); + canvasContext.drawImage(img, 0, 0); + + try{ + var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); + var dataArray = imageData.data; + var img2D = that.getOutput( inputCategory ); + img2D.setData( dataArray, img.width, img.height); + + that._loadedCounter ++; + + // call the loaded callback only when all images are loaded + if(that._loadedCounter == that.getNumberOfInputs() && "imageLoaded" in that._events){ + that._events.imageLoaded( that ) + } + + }catch(e){ + console.error(e); + } + + }; + + } + + } /* END of class UrlImageReader */ export { UrlImageReader } From e03eef293481c5d50345bd431f69fc0499649ddd Mon Sep 17 00:00:00 2001 From: Jonathan Lurie Date: Mon, 20 Mar 2017 16:35:27 -0400 Subject: [PATCH 9/9] ADD the _run method to measure time --- dist/pixpipe.js | 113 ++++++++++++----------- dist/pixpipe.js.map | 2 +- examples/imageBlending2.html | 3 - examples/mathExpressionImage2D.html | 55 ----------- package.json | 1 + readme.md | 7 +- rollup.config.js | 4 +- src/core/Filter.js | 38 ++++++++ src/filter/ForEachPixelImageFilter.js | 2 +- src/filter/ImageBlendExpressionFilter.js | 2 +- src/filter/SpectralScaleImageFilter.js | 2 +- src/io/CanvasImageWriter.js | 8 +- src/io/FileImageReader.js | 8 +- src/io/UrlImageReader.js | 44 ++------- 14 files changed, 121 insertions(+), 168 deletions(-) delete mode 100644 examples/mathExpressionImage2D.html diff --git a/dist/pixpipe.js b/dist/pixpipe.js index bd9b54c..7cdce1a 100644 --- a/dist/pixpipe.js +++ b/dist/pixpipe.js @@ -272,6 +272,10 @@ class Filter extends PipelineElement { //"0" : [] }; + // to leasure time. The 2 default values are added by _beforeRun and _afterRun + // under the name of "begin" and "end" + this._timer = {}; + this._isOutputReady = false; } @@ -434,10 +438,44 @@ class Filter extends PipelineElement { * Launch the process. */ update(){ + this.addTimeRecord("begin"); + this._run(); + this.addTimeRecord("end"); + console.log("Running time for filter " + this.constructor.name + ": " + this.getTime("begin", "end") + "ms."); + } + + + /** + * + */ + _run(){ console.error("The update() method has not been written, this filter is not valid."); } + /** + * Set a time measurement (from an arbitrary starting point) + * @param {String} recordName - name of the record + */ + addTimeRecord( recordName ){ + this._timer[ recordName ] = performance.now(); + } + + + /** + * @return {Number} the elapsed time in ms between fromRecord and toRecord. + * Return -1 if one or both time record + */ + getTime(fromRecord, toRecord){ + if( fromRecord in this._timer && toRecord in this._timer ){ + return Math.abs(this._timer[toRecord] - this._timer[fromRecord]) + }else{ + console.warn("The two given record name must exist in the time record table."); + return -1; + } + } + + /** * Defines a callback. By defautl, no callback is called. */ @@ -967,7 +1005,7 @@ class CanvasImageWriter extends Filter{ /** * Overwrite the generic (empty) method. */ - update(){ + _run(){ // abort if invalid input if(!this.hasValidInput() ) @@ -1021,14 +1059,8 @@ class CanvasImageWriter extends Filter{ } - - - - this._ctx.putImageData(canvasImageData, 0, 0); - - } } @@ -1069,49 +1101,13 @@ class UrlImageReader extends Filter { super(); this._loadedCounter = 0; this._addOutput( Image2D, 0 ); - } /** - * Run the reading + * Overload the function */ - update_ORIG(){ - var that = this; - - var img = new Image(); - img.src = this._getInput(); - - img.onload = function() { - var tmpCanvas = document.createElement("canvas"); - tmpCanvas.width = img.width; - tmpCanvas.height = img.height; - var canvasContext = tmpCanvas.getContext('2d'); - canvasContext.drawImage(img, 0, 0); - - try{ - var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); - var dataArray = imageData.data; - - var img2D = that.getOutput( category ); - img2D.setData( dataArray, img.width, img.height); - - // call the loaded callback only when all images are loaded - if( "imageLoaded" in that._events){ - that._events.imageLoaded( that ); - } - - }catch(e){ - console.error(e); - } - - }; - - - } - - - update(){ + _run(){ var that = this; var inputCategories = this.getInputCategories(); @@ -1122,6 +1118,10 @@ class UrlImageReader extends Filter { } + /** + * [PRIVATE] + * Loading task for a single category (aka file, in this case) + */ _loadImage( inputCategory ){ var that = this; @@ -1193,7 +1193,7 @@ class FileImageReader extends Filter { super(); this._allowedTypes = /image.*/; - this._onReadCallback = callback; + this._addOutput( Image2D, 0 ); } @@ -1217,7 +1217,7 @@ class FileImageReader extends Filter { /** * Run the reading */ - update(){ + _run(){ if(! this.hasValidInput) return @@ -1238,10 +1238,8 @@ class FileImageReader extends Filter { var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); var dataArray = imageData.data; - var img2D = new Image2D(); + var img2D = that.getOutput(); img2D.setData( dataArray, img.width, img.height); - console.log(img2D); - that._setOutput( img2D ); if("imageLoaded" in that._events){ that._events.imageLoaded( that ); @@ -1300,7 +1298,7 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { /** * Run the filter */ - update(){ + _run(){ if( ! this.hasValidInput()) return; @@ -1361,7 +1359,7 @@ class SpectralScaleImageFilter extends ImageToImageFilter { /** * Run the filter */ - update(){ + _run(){ // filter must have valid input of the same size if( !this.hasSameSizeInput() || !this.hasValidInput()){ return; @@ -2747,6 +2745,15 @@ return parser; * should be set using `setMetadata( "expresssion", "A * B" )` , where `A` and `B` * are the categories set in input. * +* Using a blending expression is the aesiest way to test a blending but it is a +* pretty slow process since the expresion has to be evaluated for every process. +* To speed-up your process, it is recomended to develop a new filter that does +* exactly (and only) the blending method you want. +* +* usage: examples/imageBlending.html +* usage: examples/imageBlending2.html +* usage: examples/forEachPixelGradientBlend.html +* */ class ImageBlendExpressionFilter extends ImageToImageFilter { @@ -2757,7 +2764,7 @@ class ImageBlendExpressionFilter extends ImageToImageFilter { - update(){ + _run(){ // the metadata was not set if(!this.hasMetadata("expression")){ diff --git a/dist/pixpipe.js.map b/dist/pixpipe.js.map index 6052e9d..6ec1f56 100644 --- a/dist/pixpipe.js.map +++ b/dist/pixpipe.js.map @@ -1 +1 @@ -{"version":3,"file":"pixpipe.js","sources":["../src/core/PixpipeObject.js","../src/core/PipelineElement.js","../src/core/Pipeline.js","../src/core/Filter.js","../src/core/Image2D.js","../src/core/ImageToImageFilter.js","../src/core/PixelWiseImageFilter.js","../src/io/CanvasImageWriter.js","../src/io/UrlImageReader.js","../src/io/FileImageReader.js","../src/filter/ForEachPixelImageFilter.js","../src/filter/SpectralScaleImageFilter.js","../node_modules/expr-eval/dist/bundle.js","../src/filter/ImageBlendExpressionFilter.js","../src/pixpipe.js"],"sourcesContent":["/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n\n/**\n* PixpipeObject is the base object of all. It creates a uuid and has few\n* generic attributes like type, name and description. Not all these attributes\n* always useful;\n*/\nclass PixpipeObject {\n\n constructor(){\n // unique identifier\n this._uuid = 'xxxxxxxx-xxxx-4xxx-yxxx-xxxxxxxxxxxx'.replace(/[xy]/g, function(c) {\n var r = Math.random()*16|0, v = c == 'x' ? r : (r&0x3|0x8);\n return v.toString(16);\n });\n\n // Metadata can be anything, a name, an ID, a description, a DOM element.\n // everything that is not an input but rather a setting\n this._metadata = {};\n\n this._pipeline = null;\n\n this._type = PixpipeObject.TYPE();\n }\n\n\n /**\n * Acces it like a static attribute.\n * Must be overloaded.\n */\n static TYPE(){\n return \"GENERIC\";\n }\n\n\n /**\n * Compare a give type to the type of this object.\n * @param {String} t - a type, better to call the static method of each object, like Image.TYPE()\n */\n isOfType( t ){\n return !(this._type.localeCompare(t))\n }\n\n\n /**\n * Get type of object.\n * @return {String} the type\n */\n getType(){\n this._type;\n }\n\n /**\n * Return a copy of the uuid\n */\n get uuid(){\n return this._uuid.slice();\n }\n\n\n /**\n * Set a metadata using a pair of key and value.\n * @param {String} key - the ID of the metadata\n * @param {Object} value - can be a string, Number or Object\n */\n setMetadata( key, value ){\n if(typeof key === 'string' || key instanceof String){\n this._metadata[ key ] = value;\n }else{\n console.warn(\"The given key must be a String Object.\");\n }\n\n }\n\n\n /**\n * Retrieve a metadata using a key.\n * @param {String} key - the ID of the metadata\n * @return {Object} the metadata object - or null if non existent\n */\n getMetadata( key ){\n if( key in this._metadata){\n return this._metadata[ key ];\n }else{\n console.warn(\"The metadata with key: \" + key + \" doe not exist.\");\n return null;\n }\n }\n\n\n /**\n * Check if the metadata with the given key exists.\n * @param {String} key - the key to look up in the metadata collection\n * @return {Boolean} true if the metadata with the given is present, false if not.\n */\n hasMetadata( key ){\n return (key in this._metadata);\n }\n\n\n}\n\nexport { PixpipeObject }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n\nclass PipelineElement extends PixpipeObject {\n\n constructor(){\n super();\n\n this._pipeline = null;\n this._type = PipelineElement.TYPE();\n }\n\n\n /**\n * Acces it like a static attribute.\n * Must be overloaded.\n */\n static TYPE(){\n return \"PIPELINE_ELEMENT\";\n }\n\n\n /**\n * Associate a Pipeline instance to this image. Not supposed to be called manually\n * because it is automatically called-back when adding a filter to a pipeline.\n * @param {Pipeline} p - Pipeline object.\n */\n setPipeline( p ){\n // only if not already set.\n if(!this._pipeline){\n this._pipeline = p;\n }\n }\n\n\n} /* ENDS class PipelineElement */\n\nexport { PipelineElement }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { PixpipeObject } from './PixpipeObject.js';\n\n/**\n* A Pipeline instance handles a cascade of filter when an input dataset is updated.\n* Using a Pipeline object is not mandatory and can be replaced by calling `update()`.\n*/\nclass Pipeline extends PixpipeObject {\n\n constructor(){\n super();\n this._type = Pipeline.TYPE();\n\n // a list of filters\n this._filters = [];\n\n this._isUpdated = false;\n }\n\n\n /**\n * Hardcode the datatype\n */\n static TYPE(){\n return \"PIPELINE\";\n }\n\n\n /**\n * Add a filter to the pipeline.\n *\n */\n addFilter( f ){\n this._filters.push( f );\n console.log(\"Filter \" + f.constructor.name + \" added to the pipeline.\");\n }\n\n\n /**\n *\n */\n update(forceAll = true){\n\n if( forceAll ){\n this._forceUpdateAll();\n }else{\n\n }\n\n this._isUpdated = true;\n }\n\n\n /**\n * Run an update on every single filter\n */\n _forceUpdateAll(){\n console.log(this._filters);\n for(var f=0; f 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n\n /**\n * Check if all input image have the same size.\n * @return {Boolean} true is same size, false if not.\n */\n hasSameSizeInput(){\n var that = this;\n var inputCategories = Object.keys( this._input );\n var sameSize = true;\n\n var widths = [];\n var heights = [];\n\n inputCategories.forEach( function(key){\n widths.push( that._getInput( key ).getWidth() );\n heights.push( that._getInput( key ).getHeight() );\n });\n\n // if all input have the same size\n if(widths.length){\n widths.sort();\n heights.sort();\n sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) &&\n (heights[ 0 ] == heights[ heights.length -1 ] );\n\n if( !sameSize ){\n console.warn(\"Input image do not all have the same size. Filter not valid\");\n }\n }\n\n return sameSize;\n }\n\n\n /**\n * Check if all the inputs have the same number of component per pixel.\n * @return {Boolean} true if the ncpp are the same for all input image\n */\n hasSameNcppInput(){\n var inputCategories = Object.keys( this._input );\n\n // if no input, return false\n if(!inputCategories.length)\n return false;\n\n var ncpp = this._getInput( inputCategories[0] ).getComponentsPerPixel();\n\n for(var i=0; i 1) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = binaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value));\n nstack.push(item);\n } else if (type === IOP3 && nstack.length > 2) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(n1.value ? n2.value : n3.value);\n } else {\n f = ternaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value));\n nstack.push(item);\n }\n } else if (type === IOP1 && nstack.length > 0) {\n n1 = nstack.pop();\n f = unaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value));\n nstack.push(item);\n } else if (type === IEXPR) {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values)));\n } else if (type === IMEMBER && nstack.length > 0) {\n n1 = nstack.pop();\n nstack.push(new Instruction(INUMBER, n1.value[item.value]));\n } else {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(item);\n }\n }\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n return newexpression;\n}\n\nExpression.prototype.simplify = function (values) {\n values = values || {};\n return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser);\n};\n\nfunction substitute(tokens, variable, expr) {\n var newexpression = [];\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === IVAR && item.value === variable) {\n for (var j = 0; j < expr.tokens.length; j++) {\n var expritem = expr.tokens[j];\n var replitem;\n if (expritem.type === IOP1) {\n replitem = unaryInstruction(expritem.value);\n } else if (expritem.type === IOP2) {\n replitem = binaryInstruction(expritem.value);\n } else if (expritem.type === IOP3) {\n replitem = ternaryInstruction(expritem.value);\n } else {\n replitem = new Instruction(expritem.type, expritem.value);\n }\n newexpression.push(replitem);\n }\n } else if (type === IEXPR) {\n newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr)));\n } else {\n newexpression.push(item);\n }\n }\n return newexpression;\n}\n\nExpression.prototype.substitute = function (variable, expr) {\n if (!(expr instanceof Expression)) {\n expr = this.parser.parse(String(expr));\n }\n\n return new Expression(substitute(this.tokens, variable, expr), this.parser);\n};\n\nfunction evaluate(tokens, expr, values) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n nstack.push(item.value);\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = expr.binaryOps[item.value];\n nstack.push(f(n1, n2));\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(evaluate(n1 ? n2 : n3, expr, values));\n } else {\n f = expr.ternaryOps[item.value];\n nstack.push(f(n1, n2, n3));\n }\n } else if (type === IVAR) {\n if (item.value in expr.functions) {\n nstack.push(expr.functions[item.value]);\n } else {\n var v = values[item.value];\n if (v !== undefined) {\n nstack.push(v);\n } else {\n throw new Error('undefined variable: ' + item.value);\n }\n }\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = expr.unaryOps[item.value];\n nstack.push(f(n1));\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n if (f.apply && f.call) {\n nstack.push(f.apply(undefined, args));\n } else {\n throw new Error(f + ' is not a function');\n }\n } else if (type === IEXPR) {\n nstack.push(item.value);\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1[item.value]);\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.evaluate = function (values) {\n values = values || {};\n return evaluate(this.tokens, this, values);\n};\n\nfunction expressionToString(tokens, toJS) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n if (typeof item.value === 'number' && item.value < 0) {\n nstack.push('(' + item.value + ')');\n } else {\n nstack.push(escapeValue(item.value));\n }\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (toJS) {\n if (f === '^') {\n nstack.push('Math.pow(' + n1 + ', ' + n2 + ')');\n } else if (f === 'and') {\n nstack.push('(!!' + n1 + ' && !!' + n2 + ')');\n } else if (f === 'or') {\n nstack.push('(!!' + n1 + ' || !!' + n2 + ')');\n } else if (f === '||') {\n nstack.push('(String(' + n1 + ') + String(' + n2 + '))');\n } else if (f === '==') {\n nstack.push('(' + n1 + ' === ' + n2 + ')');\n } else if (f === '!=') {\n nstack.push('(' + n1 + ' !== ' + n2 + ')');\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (f === '?') {\n nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');\n } else {\n throw new Error('invalid Expression');\n }\n } else if (type === IVAR) {\n nstack.push(item.value);\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = item.value;\n if (f === '-' || f === '+') {\n nstack.push('(' + f + n1 + ')');\n } else if (toJS) {\n if (f === 'not') {\n nstack.push('(' + '!' + n1 + ')');\n } else if (f === '!') {\n nstack.push('fac(' + n1 + ')');\n } else {\n nstack.push(f + '(' + n1 + ')');\n }\n } else if (f === '!') {\n nstack.push('(' + n1 + '!)');\n } else {\n nstack.push('(' + f + ' ' + n1 + ')');\n }\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n nstack.push(f + '(' + args.join(', ') + ')');\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1 + '.' + item.value);\n } else if (type === IEXPR) {\n nstack.push('(' + expressionToString(item.value, toJS) + ')');\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.toString = function () {\n return expressionToString(this.tokens, false);\n};\n\nfunction getSymbols(tokens, symbols) {\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) {\n symbols.push(item.value);\n } else if (item.type === IEXPR) {\n getSymbols(item.value, symbols);\n }\n }\n}\n\nExpression.prototype.symbols = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n return vars;\n};\n\nExpression.prototype.variables = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n var functions = this.functions;\n return vars.filter(function (name) {\n return !(name in functions);\n });\n};\n\nExpression.prototype.toJSFunction = function (param, variables) {\n var expr = this;\n var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func\n return function () {\n return f.apply(expr, arguments);\n };\n};\n\nfunction add(a, b) {\n return Number(a) + Number(b);\n}\nfunction sub(a, b) {\n return a - b;\n}\nfunction mul(a, b) {\n return a * b;\n}\nfunction div(a, b) {\n return a / b;\n}\nfunction mod(a, b) {\n return a % b;\n}\nfunction concat(a, b) {\n return '' + a + b;\n}\nfunction equal(a, b) {\n return a === b;\n}\nfunction notEqual(a, b) {\n return a !== b;\n}\nfunction greaterThan(a, b) {\n return a > b;\n}\nfunction lessThan(a, b) {\n return a < b;\n}\nfunction greaterThanEqual(a, b) {\n return a >= b;\n}\nfunction lessThanEqual(a, b) {\n return a <= b;\n}\nfunction andOperator(a, b) {\n return Boolean(a && b);\n}\nfunction orOperator(a, b) {\n return Boolean(a || b);\n}\nfunction sinh(a) {\n return ((Math.exp(a) - Math.exp(-a)) / 2);\n}\nfunction cosh(a) {\n return ((Math.exp(a) + Math.exp(-a)) / 2);\n}\nfunction tanh(a) {\n if (a === Infinity) return 1;\n if (a === -Infinity) return -1;\n return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a));\n}\nfunction asinh(a) {\n if (a === -Infinity) return a;\n return Math.log(a + Math.sqrt(a * a + 1));\n}\nfunction acosh(a) {\n return Math.log(a + Math.sqrt(a * a - 1));\n}\nfunction atanh(a) {\n return (Math.log((1 + a) / (1 - a)) / 2);\n}\nfunction log10(a) {\n return Math.log(a) * Math.LOG10E;\n}\nfunction neg(a) {\n return -a;\n}\nfunction not(a) {\n return !a;\n}\nfunction trunc(a) {\n return a < 0 ? Math.ceil(a) : Math.floor(a);\n}\nfunction random(a) {\n return Math.random() * (a || 1);\n}\nfunction factorial(a) { // a!\n return gamma(a + 1);\n}\nfunction stringLength(s) {\n return String(s).length;\n}\n\nfunction hypot() {\n var sum = 0;\n var larg = 0;\n for (var i = 0, L = arguments.length; i < L; i++) {\n var arg = Math.abs(arguments[i]);\n var div;\n if (larg < arg) {\n div = larg / arg;\n sum = sum * div * div + 1;\n larg = arg;\n } else if (arg > 0) {\n div = arg / larg;\n sum += div * div;\n } else {\n sum += arg;\n }\n }\n return larg === Infinity ? Infinity : larg * Math.sqrt(sum);\n}\n\nfunction condition(cond, yep, nope) {\n return cond ? yep : nope;\n}\n\nfunction isInteger(value) {\n return isFinite(value) && (value === Math.round(value));\n}\n\nvar GAMMA_G = 4.7421875;\nvar GAMMA_P = [\n 0.99999999999999709182,\n 57.156235665862923517, -59.597960355475491248,\n 14.136097974741747174, -0.49191381609762019978,\n 0.33994649984811888699e-4,\n 0.46523628927048575665e-4, -0.98374475304879564677e-4,\n 0.15808870322491248884e-3, -0.21026444172410488319e-3,\n 0.21743961811521264320e-3, -0.16431810653676389022e-3,\n 0.84418223983852743293e-4, -0.26190838401581408670e-4,\n 0.36899182659531622704e-5\n];\n\n// Gamma function from math.js\nfunction gamma(n) {\n var t, x;\n\n if (isInteger(n)) {\n if (n <= 0) {\n return isFinite(n) ? Infinity : NaN;\n }\n\n if (n > 171) {\n return Infinity; // Will overflow\n }\n\n var value = n - 2;\n var res = n - 1;\n while (value > 1) {\n res *= value;\n value--;\n }\n\n if (res === 0) {\n res = 1; // 0! is per definition 1\n }\n\n return res;\n }\n\n if (n < 0.5) {\n return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));\n }\n\n if (n >= 171.35) {\n return Infinity; // will overflow\n }\n\n if (n > 85.0) { // Extended Stirling Approx\n var twoN = n * n;\n var threeN = twoN * n;\n var fourN = threeN * n;\n var fiveN = fourN * n;\n return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) *\n (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) -\n 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) +\n 5246819 / (75246796800 * fiveN * n));\n }\n\n --n;\n x = GAMMA_P[0];\n for (var i = 1; i < GAMMA_P.length; ++i) {\n x += GAMMA_P[i] / (n + i);\n }\n\n t = n + GAMMA_G + 0.5;\n return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;\n}\n\nvar TEOF = 'TEOF';\nvar TOP = 'TOP';\nvar TNUMBER = 'TNUMBER';\nvar TSTRING = 'TSTRING';\nvar TPAREN = 'TPAREN';\nvar TCOMMA = 'TCOMMA';\nvar TNAME = 'TNAME';\n\nfunction Token(type, value, line, column) {\n this.type = type;\n this.value = value;\n this.line = line;\n this.column = column;\n}\n\nToken.prototype.toString = function () {\n return this.type + ': ' + this.value;\n};\n\nfunction TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) {\n this.pos = 0;\n this.line = 0;\n this.column = 0;\n this.current = null;\n this.unaryOps = unaryOps;\n this.binaryOps = binaryOps;\n this.ternaryOps = ternaryOps;\n this.consts = consts;\n this.expression = expression;\n this.savedPosition = 0;\n this.savedCurrent = null;\n this.savedLine = 0;\n this.savedColumn = 0;\n}\n\nTokenStream.prototype.newToken = function (type, value, line, column) {\n return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column);\n};\n\nTokenStream.prototype.save = function () {\n this.savedPosition = this.pos;\n this.savedCurrent = this.current;\n this.savedLine = this.line;\n this.savedColumn = this.column;\n};\n\nTokenStream.prototype.restore = function () {\n this.pos = this.savedPosition;\n this.current = this.savedCurrent;\n this.line = this.savedLine;\n this.column = this.savedColumn;\n};\n\nTokenStream.prototype.next = function () {\n if (this.pos >= this.expression.length) {\n return this.newToken(TEOF, 'EOF');\n }\n\n if (this.isWhitespace() || this.isComment()) {\n return this.next();\n } else if (this.isNumber() ||\n this.isOperator() ||\n this.isString() ||\n this.isParen() ||\n this.isComma() ||\n this.isNamedOp() ||\n this.isConst() ||\n this.isName()) {\n return this.current;\n } else {\n this.parseError('Unknown character \"' + this.expression.charAt(this.pos) + '\"');\n }\n};\n\nTokenStream.prototype.isString = function () {\n var r = false;\n var startLine = this.line;\n var startColumn = this.column;\n var startPos = this.pos;\n var quote = this.expression.charAt(startPos);\n\n if (quote === '\\'' || quote === '\"') {\n this.pos++;\n this.column++;\n var index = this.expression.indexOf(quote, startPos + 1);\n while (index >= 0 && this.pos < this.expression.length) {\n this.pos = index + 1;\n if (this.expression.charAt(index - 1) !== '\\\\') {\n var rawString = this.expression.substring(startPos + 1, index);\n this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn);\n var newLine = rawString.indexOf('\\n');\n var lastNewline = -1;\n while (newLine >= 0) {\n this.line++;\n this.column = 0;\n lastNewline = newLine;\n newLine = rawString.indexOf('\\n', newLine + 1);\n }\n this.column += rawString.length - lastNewline;\n r = true;\n break;\n }\n index = this.expression.indexOf(quote, index + 1);\n }\n }\n return r;\n};\n\nTokenStream.prototype.isParen = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '(' || char === ')') {\n this.current = this.newToken(TPAREN, char);\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isComma = function () {\n var char = this.expression.charAt(this.pos);\n if (char === ',') {\n this.current = this.newToken(TCOMMA, ',');\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isConst = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.consts) {\n this.current = this.newToken(TNUMBER, this.consts[str]);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isNamedOp = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) {\n this.current = this.newToken(TOP, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isName = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n this.current = this.newToken(TNAME, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isWhitespace = function () {\n var r = false;\n var char = this.expression.charAt(this.pos);\n while (char === ' ' || char === '\\t' || char === '\\n' || char === '\\r') {\n r = true;\n this.pos++;\n this.column++;\n if (char === '\\n') {\n this.line++;\n this.column = 0;\n }\n if (this.pos >= this.expression.length) {\n break;\n }\n char = this.expression.charAt(this.pos);\n }\n return r;\n};\n\nvar codePointPattern = /^[0-9a-f]{4}$/i;\n\nTokenStream.prototype.unescape = function (v) {\n var index = v.indexOf('\\\\');\n if (index < 0) {\n return v;\n }\n\n var buffer = v.substring(0, index);\n while (index >= 0) {\n var c = v.charAt(++index);\n switch (c) {\n case '\\'':\n buffer += '\\'';\n break;\n case '\"':\n buffer += '\"';\n break;\n case '\\\\':\n buffer += '\\\\';\n break;\n case '/':\n buffer += '/';\n break;\n case 'b':\n buffer += '\\b';\n break;\n case 'f':\n buffer += '\\f';\n break;\n case 'n':\n buffer += '\\n';\n break;\n case 'r':\n buffer += '\\r';\n break;\n case 't':\n buffer += '\\t';\n break;\n case 'u':\n // interpret the following 4 characters as the hex of the unicode code point\n var codePoint = v.substring(index + 1, index + 5);\n if (!codePointPattern.test(codePoint)) {\n this.parseError('Illegal escape sequence: \\\\u' + codePoint);\n }\n buffer += String.fromCharCode(parseInt(codePoint, 16));\n index += 4;\n break;\n default:\n throw this.parseError('Illegal escape sequence: \"\\\\' + c + '\"');\n }\n ++index;\n var backslash = v.indexOf('\\\\', index);\n buffer += v.substring(index, backslash < 0 ? v.length : backslash);\n index = backslash;\n }\n\n return buffer;\n};\n\nTokenStream.prototype.isComment = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '/' && this.expression.charAt(this.pos + 1) === '*') {\n var startPos = this.pos;\n this.pos = this.expression.indexOf('*/', this.pos) + 2;\n if (this.pos === 1) {\n this.pos = this.expression.length;\n }\n var comment = this.expression.substring(startPos, this.pos);\n var newline = comment.indexOf('\\n');\n while (newline >= 0) {\n this.line++;\n this.column = comment.length - newline;\n newline = comment.indexOf('\\n', newline + 1);\n }\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isNumber = function () {\n var valid = false;\n var pos = this.pos;\n var startPos = pos;\n var resetPos = pos;\n var column = this.column;\n var resetColumn = column;\n var foundDot = false;\n var foundDigits = false;\n var char;\n\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) {\n if (char === '.') {\n foundDot = true;\n } else {\n foundDigits = true;\n }\n pos++;\n column++;\n valid = foundDigits;\n } else {\n break;\n }\n }\n\n if (valid) {\n resetPos = pos;\n resetColumn = column;\n }\n\n if (char === 'e' || char === 'E') {\n pos++;\n column++;\n var acceptSign = true;\n var validExponent = false;\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if (acceptSign && (char === '+' || char === '-')) {\n acceptSign = false;\n } else if (char >= '0' && char <= '9') {\n validExponent = true;\n acceptSign = false;\n } else {\n break;\n }\n pos++;\n column++;\n }\n\n if (!validExponent) {\n pos = resetPos;\n column = resetColumn;\n }\n }\n\n if (valid) {\n this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos)));\n this.pos = pos;\n this.column = column;\n } else {\n this.pos = resetPos;\n this.column = resetColumn;\n }\n return valid;\n};\n\nTokenStream.prototype.isOperator = function () {\n var char = this.expression.charAt(this.pos);\n\n if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') {\n this.current = this.newToken(TOP, char);\n } else if (char === '∙' || char === '•') {\n this.current = this.newToken(TOP, '*');\n } else if (char === '>') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '>=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '>');\n }\n } else if (char === '<') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '<=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '<');\n }\n } else if (char === '|') {\n if (this.expression.charAt(this.pos + 1) === '|') {\n this.current = this.newToken(TOP, '||');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '=') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '==');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '!') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '!=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, char);\n }\n } else {\n return false;\n }\n this.pos++;\n this.column++;\n return true;\n};\n\nTokenStream.prototype.parseError = function (msg) {\n throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg);\n};\n\nvar unaryInstructionCache = {};\nfunction unaryInstruction(value) {\n var inst = unaryInstructionCache[value];\n if (!inst) {\n inst = unaryInstructionCache[value] = new Instruction(IOP1, value);\n }\n return inst;\n}\n\nvar binaryInstructionCache = {};\nfunction binaryInstruction(value) {\n var inst = binaryInstructionCache[value];\n if (!inst) {\n inst = binaryInstructionCache[value] = new Instruction(IOP2, value);\n }\n return inst;\n}\n\nvar ternaryInstructionCache = {};\nfunction ternaryInstruction(value) {\n var inst = ternaryInstructionCache[value];\n if (!inst) {\n inst = ternaryInstructionCache[value] = new Instruction(IOP3, value);\n }\n return inst;\n}\n\nfunction ParserState(parser, tokenStream) {\n this.parser = parser;\n this.tokens = tokenStream;\n this.current = null;\n this.nextToken = null;\n this.next();\n this.savedCurrent = null;\n this.savedNextToken = null;\n}\n\nParserState.prototype.next = function () {\n this.current = this.nextToken;\n return (this.nextToken = this.tokens.next());\n};\n\nParserState.prototype.tokenMatches = function (token, value) {\n if (typeof value === 'undefined') {\n return true;\n } else if (Array.isArray(value)) {\n return indexOf(value, token.value) >= 0;\n } else if (typeof value === 'function') {\n return value(token);\n } else {\n return token.value === value;\n }\n};\n\nParserState.prototype.save = function () {\n this.savedCurrent = this.current;\n this.savedNextToken = this.nextToken;\n this.tokens.save();\n};\n\nParserState.prototype.restore = function () {\n this.tokens.restore();\n this.current = this.savedCurrent;\n this.nextToken = this.savedNextToken;\n};\n\nParserState.prototype.accept = function (type, value) {\n if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) {\n this.next();\n return true;\n }\n return false;\n};\n\nParserState.prototype.expect = function (type, value) {\n if (!this.accept(type, value)) {\n throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type));\n }\n};\n\nParserState.prototype.parseAtom = function (instr) {\n if (this.accept(TNAME)) {\n instr.push(new Instruction(IVAR, this.current.value));\n } else if (this.accept(TNUMBER)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TSTRING)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TPAREN, '(')) {\n this.parseExpression(instr);\n this.expect(TPAREN, ')');\n } else {\n throw new Error('unexpected ' + this.nextToken);\n }\n};\n\nParserState.prototype.parseExpression = function (instr) {\n this.parseConditionalExpression(instr);\n};\n\nParserState.prototype.parseConditionalExpression = function (instr) {\n this.parseOrExpression(instr);\n while (this.accept(TOP, '?')) {\n var trueBranch = [];\n var falseBranch = [];\n this.parseConditionalExpression(trueBranch);\n this.expect(TOP, ':');\n this.parseConditionalExpression(falseBranch);\n instr.push(new Instruction(IEXPR, trueBranch));\n instr.push(new Instruction(IEXPR, falseBranch));\n instr.push(ternaryInstruction('?'));\n }\n};\n\nParserState.prototype.parseOrExpression = function (instr) {\n this.parseAndExpression(instr);\n while (this.accept(TOP, 'or')) {\n this.parseAndExpression(instr);\n instr.push(binaryInstruction('or'));\n }\n};\n\nParserState.prototype.parseAndExpression = function (instr) {\n this.parseComparison(instr);\n while (this.accept(TOP, 'and')) {\n this.parseComparison(instr);\n instr.push(binaryInstruction('and'));\n }\n};\n\nParserState.prototype.parseComparison = function (instr) {\n this.parseAddSub(instr);\n while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) {\n var op = this.current;\n this.parseAddSub(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseAddSub = function (instr) {\n this.parseTerm(instr);\n while (this.accept(TOP, ['+', '-', '||'])) {\n var op = this.current;\n this.parseTerm(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseTerm = function (instr) {\n this.parseFactor(instr);\n while (this.accept(TOP, ['*', '/', '%'])) {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseFactor = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n this.save();\n if (this.accept(TOP, isPrefixOperator)) {\n if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) {\n this.restore();\n this.parseExponential(instr);\n } else {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(unaryInstruction(op.value));\n }\n } else {\n this.parseExponential(instr);\n }\n};\n\nParserState.prototype.parseExponential = function (instr) {\n this.parsePostfixExpression(instr);\n while (this.accept(TOP, '^')) {\n this.parseFactor(instr);\n instr.push(binaryInstruction('^'));\n }\n};\n\nParserState.prototype.parsePostfixExpression = function (instr) {\n this.parseFunctionCall(instr);\n while (this.accept(TOP, '!')) {\n instr.push(unaryInstruction('!'));\n }\n};\n\nParserState.prototype.parseFunctionCall = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n if (this.accept(TOP, isPrefixOperator)) {\n var op = this.current;\n this.parseAtom(instr);\n instr.push(unaryInstruction(op.value));\n } else {\n this.parseMemberExpression(instr);\n while (this.accept(TPAREN, '(')) {\n if (this.accept(TPAREN, ')')) {\n instr.push(new Instruction(IFUNCALL, 0));\n } else {\n var argCount = this.parseArgumentList(instr);\n instr.push(new Instruction(IFUNCALL, argCount));\n }\n }\n }\n};\n\nParserState.prototype.parseArgumentList = function (instr) {\n var argCount = 0;\n\n while (!this.accept(TPAREN, ')')) {\n this.parseExpression(instr);\n ++argCount;\n while (this.accept(TCOMMA)) {\n this.parseExpression(instr);\n ++argCount;\n }\n }\n\n return argCount;\n};\n\nParserState.prototype.parseMemberExpression = function (instr) {\n this.parseAtom(instr);\n while (this.accept(TOP, '.')) {\n this.expect(TNAME);\n instr.push(new Instruction(IMEMBER, this.current.value));\n }\n};\n\nfunction Parser() {\n this.unaryOps = {\n sin: Math.sin,\n cos: Math.cos,\n tan: Math.tan,\n asin: Math.asin,\n acos: Math.acos,\n atan: Math.atan,\n sinh: Math.sinh || sinh,\n cosh: Math.cosh || cosh,\n tanh: Math.tanh || tanh,\n asinh: Math.asinh || asinh,\n acosh: Math.acosh || acosh,\n atanh: Math.atanh || atanh,\n sqrt: Math.sqrt,\n log: Math.log,\n ln: Math.log,\n lg: Math.log10 || log10,\n log10: Math.log10 || log10,\n abs: Math.abs,\n ceil: Math.ceil,\n floor: Math.floor,\n round: Math.round,\n trunc: Math.trunc || trunc,\n '-': neg,\n '+': Number,\n exp: Math.exp,\n not: not,\n length: stringLength,\n '!': factorial\n };\n\n this.binaryOps = {\n '+': add,\n '-': sub,\n '*': mul,\n '/': div,\n '%': mod,\n '^': Math.pow,\n '||': concat,\n '==': equal,\n '!=': notEqual,\n '>': greaterThan,\n '<': lessThan,\n '>=': greaterThanEqual,\n '<=': lessThanEqual,\n and: andOperator,\n or: orOperator\n };\n\n this.ternaryOps = {\n '?': condition\n };\n\n this.functions = {\n random: random,\n fac: factorial,\n min: Math.min,\n max: Math.max,\n hypot: Math.hypot || hypot,\n pyt: Math.hypot || hypot, // backward compat\n pow: Math.pow,\n atan2: Math.atan2,\n 'if': condition,\n gamma: gamma\n };\n\n this.consts = {\n E: Math.E,\n PI: Math.PI,\n 'true': true,\n 'false': false\n };\n}\n\nParser.parse = function (expr) {\n return new Parser().parse(expr);\n};\n\nParser.evaluate = function (expr, variables) {\n return Parser.parse(expr).evaluate(variables);\n};\n\nParser.prototype = {\n parse: function (expr) {\n var instr = [];\n var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts));\n parserState.parseExpression(instr);\n parserState.expect(TEOF, 'EOF');\n\n return new Expression(instr, this);\n },\n\n evaluate: function (expr, variables) {\n return this.parse(expr).evaluate(variables);\n }\n};\n\nvar parser = {\n Parser: Parser,\n Expression: Expression\n};\n\nreturn parser;\n\n})));\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n\nimport Parser from 'expr-eval'\nimport { Image2D } from '../core/Image2D.js';\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\n\n/**\n* An instance of ImageBlendExpressionFilter takes Image2D inputs, as many as\n* we need as long as they have the same size and the same number of components\n* per pixel.\n* This filter blends images pixel values using a literal expression. This expression\n* should be set using `setMetadata( \"expresssion\", \"A * B\" )` , where `A` and `B`\n* are the categories set in input.\n*\n*/\nclass ImageBlendExpressionFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n this._addOutput( Image2D );\n }\n\n\n\n update(){\n\n // the metadata was not set\n if(!this.hasMetadata(\"expression\")){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires a blending expression.\\nUse 'setMetadata(\\\"expression\\\", \\\"...\\\")' to set it.\" );\n return;\n }\n\n if( !this.hasSameNcppInput() || !this.hasSameSizeInput() ){\n return;\n }\n\n if(!this.getNumberOfInputs()){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires at least one inpupt.\");\n return;\n }\n\n var inputCategories = this.getInputCategories();\n var firstInput = this._getInput( inputCategories[0] );\n var outputBuffer = firstInput.getDataCopy();\n var parser = new Parser.Parser();\n var expr = parser.parse( this.getMetadata(\"expression\") );\n\n for(var i=0; i 0 && options.height > 0){\n this._width = options.width;\n this._height = options.height;\n\n if(\"color\" in options){\n this._componentsPerPixel = options.color.length;\n }\n\n this._data = new Float32Array( this._width * this._height * this._componentsPerPixel );\n\n // init with the given color\n if(\"color\" in options){\n var color = options.color;\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height &&\n color.length == this._componentsPerPixel)\n {\n\n var pos1D = this.get1dIndexFrom2dPosition( position );\n\n for(var i=0; i=0 && position.x < this._width &&\n \"y\" in position && position.y >=0 && position.y < this._height)\n {\n var pos1D = this.get1dIndexFrom2dPosition( position );\n var color = this._data.slice(pos1D, pos1D + this._componentsPerPixel);\n return color;\n\n }else{\n console.warn(\"The requested position is outside the image.\");\n return null;\n }\n }\n\n\n /**\n * @return {Number} the width of the Image2D\n */\n getWidth(){\n return this._width;\n }\n\n\n /**\n * @return {Number} the height of the Image2D\n */\n getHeight(){\n return this._height;\n }\n\n\n /**\n * @return {Number} the number of components per pixel\n */\n getComponentsPerPixel(){\n return this._componentsPerPixel;\n }\n\n\n /**\n * @return {Float32Array} the original data, dont mess up with this one.\n * in case of doubt, use getDataCopy()\n */\n getData(){\n //return this._data.slice(); // return a copy\n return this._data; // return the actual array, editable!\n }\n\n\n /**\n * @return {Float32Array} a deep copy of the data\n */\n getDataCopy(){\n return this._data.slice();\n }\n\n\n /**\n * Compute the (x, y) position from a position in a 1D array.\n * This has nothing to do with the number of components per pixel.\n * @param {Number} i - the index of a pixel.\n * @return {Object} coordinate as {x, y}\n */\n get2dPositionFrom1dIndex( i ){\n return {\n x: i % this._width,\n y: Math.floor(i / this._width)\n }\n }\n\n\n /**\n * Compute the 1D index within the data buffer from a 2D position {x, y}.\n * This has nothing to do with the number of components per pixel.\n * @param {Object} position - 2D coord like {x, y}\n * @return {Number} the 1D position within the buffer\n */\n get1dIndexFrom2dPosition( position ){\n return (position.x + position.y*this._width);\n }\n\n\n\n\n // TODO: warn the pipeline if metadata changed or pixel value changed\n // --> do NOT update the pipeline at every modif because if we change a lot\n // of pixel values... (wait to call update() on the pipeline.)\n\n\n} /* END of class Image2D */\n\nexport { Image2D }\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\nimport { Filter } from './Filter.js';\nimport { Image2D } from './Image2D.js';\n\n/**\n* ImageToImageFilter is not to be used as-is but rather as a base class for any\n* filter that input a single Image2D and output a single Image2D.\n* This class does not overload the update() method.\n*/\nclass ImageToImageFilter extends Filter {\n\n constructor(){\n super();\n this._inputValidator[ 0 ] = Image2D.TYPE();\n\n // will be a copy of the input Image2D buffer\n this._inputBuffer = null;\n }\n\n\n /**\n * Check if all input image have the same size.\n * @return {Boolean} true is same size, false if not.\n */\n hasSameSizeInput(){\n var that = this;\n var inputCategories = Object.keys( this._input );\n var sameSize = true;\n\n var widths = [];\n var heights = [];\n\n inputCategories.forEach( function(key){\n widths.push( that._getInput( key ).getWidth() );\n heights.push( that._getInput( key ).getHeight() );\n });\n\n // if all input have the same size\n if(widths.length){\n widths.sort();\n heights.sort();\n sameSize = (widths[ 0 ] == widths[ widths.length -1 ] ) &&\n (heights[ 0 ] == heights[ heights.length -1 ] );\n\n if( !sameSize ){\n console.warn(\"Input image do not all have the same size. Filter not valid\");\n }\n }\n\n return sameSize;\n }\n\n\n /**\n * Check if all the inputs have the same number of component per pixel.\n * @return {Boolean} true if the ncpp are the same for all input image\n */\n hasSameNcppInput(){\n var inputCategories = Object.keys( this._input );\n\n // if no input, return false\n if(!inputCategories.length)\n return false;\n\n var ncpp = this._getInput( inputCategories[0] ).getComponentsPerPixel();\n\n for(var i=0; i 1) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = binaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value));\n nstack.push(item);\n } else if (type === IOP3 && nstack.length > 2) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(n1.value ? n2.value : n3.value);\n } else {\n f = ternaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value));\n nstack.push(item);\n }\n } else if (type === IOP1 && nstack.length > 0) {\n n1 = nstack.pop();\n f = unaryOps[item.value];\n item = new Instruction(INUMBER, f(n1.value));\n nstack.push(item);\n } else if (type === IEXPR) {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values)));\n } else if (type === IMEMBER && nstack.length > 0) {\n n1 = nstack.pop();\n nstack.push(new Instruction(INUMBER, n1.value[item.value]));\n } else {\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n newexpression.push(item);\n }\n }\n while (nstack.length > 0) {\n newexpression.push(nstack.shift());\n }\n return newexpression;\n}\n\nExpression.prototype.simplify = function (values) {\n values = values || {};\n return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser);\n};\n\nfunction substitute(tokens, variable, expr) {\n var newexpression = [];\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === IVAR && item.value === variable) {\n for (var j = 0; j < expr.tokens.length; j++) {\n var expritem = expr.tokens[j];\n var replitem;\n if (expritem.type === IOP1) {\n replitem = unaryInstruction(expritem.value);\n } else if (expritem.type === IOP2) {\n replitem = binaryInstruction(expritem.value);\n } else if (expritem.type === IOP3) {\n replitem = ternaryInstruction(expritem.value);\n } else {\n replitem = new Instruction(expritem.type, expritem.value);\n }\n newexpression.push(replitem);\n }\n } else if (type === IEXPR) {\n newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr)));\n } else {\n newexpression.push(item);\n }\n }\n return newexpression;\n}\n\nExpression.prototype.substitute = function (variable, expr) {\n if (!(expr instanceof Expression)) {\n expr = this.parser.parse(String(expr));\n }\n\n return new Expression(substitute(this.tokens, variable, expr), this.parser);\n};\n\nfunction evaluate(tokens, expr, values) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n nstack.push(item.value);\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = expr.binaryOps[item.value];\n nstack.push(f(n1, n2));\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n if (item.value === '?') {\n nstack.push(evaluate(n1 ? n2 : n3, expr, values));\n } else {\n f = expr.ternaryOps[item.value];\n nstack.push(f(n1, n2, n3));\n }\n } else if (type === IVAR) {\n if (item.value in expr.functions) {\n nstack.push(expr.functions[item.value]);\n } else {\n var v = values[item.value];\n if (v !== undefined) {\n nstack.push(v);\n } else {\n throw new Error('undefined variable: ' + item.value);\n }\n }\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = expr.unaryOps[item.value];\n nstack.push(f(n1));\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n if (f.apply && f.call) {\n nstack.push(f.apply(undefined, args));\n } else {\n throw new Error(f + ' is not a function');\n }\n } else if (type === IEXPR) {\n nstack.push(item.value);\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1[item.value]);\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.evaluate = function (values) {\n values = values || {};\n return evaluate(this.tokens, this, values);\n};\n\nfunction expressionToString(tokens, toJS) {\n var nstack = [];\n var n1, n2, n3;\n var f;\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n var type = item.type;\n if (type === INUMBER) {\n if (typeof item.value === 'number' && item.value < 0) {\n nstack.push('(' + item.value + ')');\n } else {\n nstack.push(escapeValue(item.value));\n }\n } else if (type === IOP2) {\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (toJS) {\n if (f === '^') {\n nstack.push('Math.pow(' + n1 + ', ' + n2 + ')');\n } else if (f === 'and') {\n nstack.push('(!!' + n1 + ' && !!' + n2 + ')');\n } else if (f === 'or') {\n nstack.push('(!!' + n1 + ' || !!' + n2 + ')');\n } else if (f === '||') {\n nstack.push('(String(' + n1 + ') + String(' + n2 + '))');\n } else if (f === '==') {\n nstack.push('(' + n1 + ' === ' + n2 + ')');\n } else if (f === '!=') {\n nstack.push('(' + n1 + ' !== ' + n2 + ')');\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else {\n nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');\n }\n } else if (type === IOP3) {\n n3 = nstack.pop();\n n2 = nstack.pop();\n n1 = nstack.pop();\n f = item.value;\n if (f === '?') {\n nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');\n } else {\n throw new Error('invalid Expression');\n }\n } else if (type === IVAR) {\n nstack.push(item.value);\n } else if (type === IOP1) {\n n1 = nstack.pop();\n f = item.value;\n if (f === '-' || f === '+') {\n nstack.push('(' + f + n1 + ')');\n } else if (toJS) {\n if (f === 'not') {\n nstack.push('(' + '!' + n1 + ')');\n } else if (f === '!') {\n nstack.push('fac(' + n1 + ')');\n } else {\n nstack.push(f + '(' + n1 + ')');\n }\n } else if (f === '!') {\n nstack.push('(' + n1 + '!)');\n } else {\n nstack.push('(' + f + ' ' + n1 + ')');\n }\n } else if (type === IFUNCALL) {\n var argCount = item.value;\n var args = [];\n while (argCount-- > 0) {\n args.unshift(nstack.pop());\n }\n f = nstack.pop();\n nstack.push(f + '(' + args.join(', ') + ')');\n } else if (type === IMEMBER) {\n n1 = nstack.pop();\n nstack.push(n1 + '.' + item.value);\n } else if (type === IEXPR) {\n nstack.push('(' + expressionToString(item.value, toJS) + ')');\n } else {\n throw new Error('invalid Expression');\n }\n }\n if (nstack.length > 1) {\n throw new Error('invalid Expression (parity)');\n }\n return nstack[0];\n}\n\nExpression.prototype.toString = function () {\n return expressionToString(this.tokens, false);\n};\n\nfunction getSymbols(tokens, symbols) {\n for (var i = 0, L = tokens.length; i < L; i++) {\n var item = tokens[i];\n if (item.type === IVAR && (indexOf(symbols, item.value) === -1)) {\n symbols.push(item.value);\n } else if (item.type === IEXPR) {\n getSymbols(item.value, symbols);\n }\n }\n}\n\nExpression.prototype.symbols = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n return vars;\n};\n\nExpression.prototype.variables = function () {\n var vars = [];\n getSymbols(this.tokens, vars);\n var functions = this.functions;\n return vars.filter(function (name) {\n return !(name in functions);\n });\n};\n\nExpression.prototype.toJSFunction = function (param, variables) {\n var expr = this;\n var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func\n return function () {\n return f.apply(expr, arguments);\n };\n};\n\nfunction add(a, b) {\n return Number(a) + Number(b);\n}\nfunction sub(a, b) {\n return a - b;\n}\nfunction mul(a, b) {\n return a * b;\n}\nfunction div(a, b) {\n return a / b;\n}\nfunction mod(a, b) {\n return a % b;\n}\nfunction concat(a, b) {\n return '' + a + b;\n}\nfunction equal(a, b) {\n return a === b;\n}\nfunction notEqual(a, b) {\n return a !== b;\n}\nfunction greaterThan(a, b) {\n return a > b;\n}\nfunction lessThan(a, b) {\n return a < b;\n}\nfunction greaterThanEqual(a, b) {\n return a >= b;\n}\nfunction lessThanEqual(a, b) {\n return a <= b;\n}\nfunction andOperator(a, b) {\n return Boolean(a && b);\n}\nfunction orOperator(a, b) {\n return Boolean(a || b);\n}\nfunction sinh(a) {\n return ((Math.exp(a) - Math.exp(-a)) / 2);\n}\nfunction cosh(a) {\n return ((Math.exp(a) + Math.exp(-a)) / 2);\n}\nfunction tanh(a) {\n if (a === Infinity) return 1;\n if (a === -Infinity) return -1;\n return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a));\n}\nfunction asinh(a) {\n if (a === -Infinity) return a;\n return Math.log(a + Math.sqrt(a * a + 1));\n}\nfunction acosh(a) {\n return Math.log(a + Math.sqrt(a * a - 1));\n}\nfunction atanh(a) {\n return (Math.log((1 + a) / (1 - a)) / 2);\n}\nfunction log10(a) {\n return Math.log(a) * Math.LOG10E;\n}\nfunction neg(a) {\n return -a;\n}\nfunction not(a) {\n return !a;\n}\nfunction trunc(a) {\n return a < 0 ? Math.ceil(a) : Math.floor(a);\n}\nfunction random(a) {\n return Math.random() * (a || 1);\n}\nfunction factorial(a) { // a!\n return gamma(a + 1);\n}\nfunction stringLength(s) {\n return String(s).length;\n}\n\nfunction hypot() {\n var sum = 0;\n var larg = 0;\n for (var i = 0, L = arguments.length; i < L; i++) {\n var arg = Math.abs(arguments[i]);\n var div;\n if (larg < arg) {\n div = larg / arg;\n sum = sum * div * div + 1;\n larg = arg;\n } else if (arg > 0) {\n div = arg / larg;\n sum += div * div;\n } else {\n sum += arg;\n }\n }\n return larg === Infinity ? Infinity : larg * Math.sqrt(sum);\n}\n\nfunction condition(cond, yep, nope) {\n return cond ? yep : nope;\n}\n\nfunction isInteger(value) {\n return isFinite(value) && (value === Math.round(value));\n}\n\nvar GAMMA_G = 4.7421875;\nvar GAMMA_P = [\n 0.99999999999999709182,\n 57.156235665862923517, -59.597960355475491248,\n 14.136097974741747174, -0.49191381609762019978,\n 0.33994649984811888699e-4,\n 0.46523628927048575665e-4, -0.98374475304879564677e-4,\n 0.15808870322491248884e-3, -0.21026444172410488319e-3,\n 0.21743961811521264320e-3, -0.16431810653676389022e-3,\n 0.84418223983852743293e-4, -0.26190838401581408670e-4,\n 0.36899182659531622704e-5\n];\n\n// Gamma function from math.js\nfunction gamma(n) {\n var t, x;\n\n if (isInteger(n)) {\n if (n <= 0) {\n return isFinite(n) ? Infinity : NaN;\n }\n\n if (n > 171) {\n return Infinity; // Will overflow\n }\n\n var value = n - 2;\n var res = n - 1;\n while (value > 1) {\n res *= value;\n value--;\n }\n\n if (res === 0) {\n res = 1; // 0! is per definition 1\n }\n\n return res;\n }\n\n if (n < 0.5) {\n return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));\n }\n\n if (n >= 171.35) {\n return Infinity; // will overflow\n }\n\n if (n > 85.0) { // Extended Stirling Approx\n var twoN = n * n;\n var threeN = twoN * n;\n var fourN = threeN * n;\n var fiveN = fourN * n;\n return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) *\n (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) -\n 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) +\n 5246819 / (75246796800 * fiveN * n));\n }\n\n --n;\n x = GAMMA_P[0];\n for (var i = 1; i < GAMMA_P.length; ++i) {\n x += GAMMA_P[i] / (n + i);\n }\n\n t = n + GAMMA_G + 0.5;\n return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;\n}\n\nvar TEOF = 'TEOF';\nvar TOP = 'TOP';\nvar TNUMBER = 'TNUMBER';\nvar TSTRING = 'TSTRING';\nvar TPAREN = 'TPAREN';\nvar TCOMMA = 'TCOMMA';\nvar TNAME = 'TNAME';\n\nfunction Token(type, value, line, column) {\n this.type = type;\n this.value = value;\n this.line = line;\n this.column = column;\n}\n\nToken.prototype.toString = function () {\n return this.type + ': ' + this.value;\n};\n\nfunction TokenStream(expression, unaryOps, binaryOps, ternaryOps, consts) {\n this.pos = 0;\n this.line = 0;\n this.column = 0;\n this.current = null;\n this.unaryOps = unaryOps;\n this.binaryOps = binaryOps;\n this.ternaryOps = ternaryOps;\n this.consts = consts;\n this.expression = expression;\n this.savedPosition = 0;\n this.savedCurrent = null;\n this.savedLine = 0;\n this.savedColumn = 0;\n}\n\nTokenStream.prototype.newToken = function (type, value, line, column) {\n return new Token(type, value, line != null ? line : this.line, column != null ? column : this.column);\n};\n\nTokenStream.prototype.save = function () {\n this.savedPosition = this.pos;\n this.savedCurrent = this.current;\n this.savedLine = this.line;\n this.savedColumn = this.column;\n};\n\nTokenStream.prototype.restore = function () {\n this.pos = this.savedPosition;\n this.current = this.savedCurrent;\n this.line = this.savedLine;\n this.column = this.savedColumn;\n};\n\nTokenStream.prototype.next = function () {\n if (this.pos >= this.expression.length) {\n return this.newToken(TEOF, 'EOF');\n }\n\n if (this.isWhitespace() || this.isComment()) {\n return this.next();\n } else if (this.isNumber() ||\n this.isOperator() ||\n this.isString() ||\n this.isParen() ||\n this.isComma() ||\n this.isNamedOp() ||\n this.isConst() ||\n this.isName()) {\n return this.current;\n } else {\n this.parseError('Unknown character \"' + this.expression.charAt(this.pos) + '\"');\n }\n};\n\nTokenStream.prototype.isString = function () {\n var r = false;\n var startLine = this.line;\n var startColumn = this.column;\n var startPos = this.pos;\n var quote = this.expression.charAt(startPos);\n\n if (quote === '\\'' || quote === '\"') {\n this.pos++;\n this.column++;\n var index = this.expression.indexOf(quote, startPos + 1);\n while (index >= 0 && this.pos < this.expression.length) {\n this.pos = index + 1;\n if (this.expression.charAt(index - 1) !== '\\\\') {\n var rawString = this.expression.substring(startPos + 1, index);\n this.current = this.newToken(TSTRING, this.unescape(rawString), startLine, startColumn);\n var newLine = rawString.indexOf('\\n');\n var lastNewline = -1;\n while (newLine >= 0) {\n this.line++;\n this.column = 0;\n lastNewline = newLine;\n newLine = rawString.indexOf('\\n', newLine + 1);\n }\n this.column += rawString.length - lastNewline;\n r = true;\n break;\n }\n index = this.expression.indexOf(quote, index + 1);\n }\n }\n return r;\n};\n\nTokenStream.prototype.isParen = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '(' || char === ')') {\n this.current = this.newToken(TPAREN, char);\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isComma = function () {\n var char = this.expression.charAt(this.pos);\n if (char === ',') {\n this.current = this.newToken(TCOMMA, ',');\n this.pos++;\n this.column++;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isConst = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.consts) {\n this.current = this.newToken(TNUMBER, this.consts[str]);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isNamedOp = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n if (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps) {\n this.current = this.newToken(TOP, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n }\n return false;\n};\n\nTokenStream.prototype.isName = function () {\n var startPos = this.pos;\n var i = startPos;\n for (; i < this.expression.length; i++) {\n var c = this.expression.charAt(i);\n if (c.toUpperCase() === c.toLowerCase()) {\n if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {\n break;\n }\n }\n }\n if (i > startPos) {\n var str = this.expression.substring(startPos, i);\n this.current = this.newToken(TNAME, str);\n this.pos += str.length;\n this.column += str.length;\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isWhitespace = function () {\n var r = false;\n var char = this.expression.charAt(this.pos);\n while (char === ' ' || char === '\\t' || char === '\\n' || char === '\\r') {\n r = true;\n this.pos++;\n this.column++;\n if (char === '\\n') {\n this.line++;\n this.column = 0;\n }\n if (this.pos >= this.expression.length) {\n break;\n }\n char = this.expression.charAt(this.pos);\n }\n return r;\n};\n\nvar codePointPattern = /^[0-9a-f]{4}$/i;\n\nTokenStream.prototype.unescape = function (v) {\n var index = v.indexOf('\\\\');\n if (index < 0) {\n return v;\n }\n\n var buffer = v.substring(0, index);\n while (index >= 0) {\n var c = v.charAt(++index);\n switch (c) {\n case '\\'':\n buffer += '\\'';\n break;\n case '\"':\n buffer += '\"';\n break;\n case '\\\\':\n buffer += '\\\\';\n break;\n case '/':\n buffer += '/';\n break;\n case 'b':\n buffer += '\\b';\n break;\n case 'f':\n buffer += '\\f';\n break;\n case 'n':\n buffer += '\\n';\n break;\n case 'r':\n buffer += '\\r';\n break;\n case 't':\n buffer += '\\t';\n break;\n case 'u':\n // interpret the following 4 characters as the hex of the unicode code point\n var codePoint = v.substring(index + 1, index + 5);\n if (!codePointPattern.test(codePoint)) {\n this.parseError('Illegal escape sequence: \\\\u' + codePoint);\n }\n buffer += String.fromCharCode(parseInt(codePoint, 16));\n index += 4;\n break;\n default:\n throw this.parseError('Illegal escape sequence: \"\\\\' + c + '\"');\n }\n ++index;\n var backslash = v.indexOf('\\\\', index);\n buffer += v.substring(index, backslash < 0 ? v.length : backslash);\n index = backslash;\n }\n\n return buffer;\n};\n\nTokenStream.prototype.isComment = function () {\n var char = this.expression.charAt(this.pos);\n if (char === '/' && this.expression.charAt(this.pos + 1) === '*') {\n var startPos = this.pos;\n this.pos = this.expression.indexOf('*/', this.pos) + 2;\n if (this.pos === 1) {\n this.pos = this.expression.length;\n }\n var comment = this.expression.substring(startPos, this.pos);\n var newline = comment.indexOf('\\n');\n while (newline >= 0) {\n this.line++;\n this.column = comment.length - newline;\n newline = comment.indexOf('\\n', newline + 1);\n }\n return true;\n }\n return false;\n};\n\nTokenStream.prototype.isNumber = function () {\n var valid = false;\n var pos = this.pos;\n var startPos = pos;\n var resetPos = pos;\n var column = this.column;\n var resetColumn = column;\n var foundDot = false;\n var foundDigits = false;\n var char;\n\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if ((char >= '0' && char <= '9') || (!foundDot && char === '.')) {\n if (char === '.') {\n foundDot = true;\n } else {\n foundDigits = true;\n }\n pos++;\n column++;\n valid = foundDigits;\n } else {\n break;\n }\n }\n\n if (valid) {\n resetPos = pos;\n resetColumn = column;\n }\n\n if (char === 'e' || char === 'E') {\n pos++;\n column++;\n var acceptSign = true;\n var validExponent = false;\n while (pos < this.expression.length) {\n char = this.expression.charAt(pos);\n if (acceptSign && (char === '+' || char === '-')) {\n acceptSign = false;\n } else if (char >= '0' && char <= '9') {\n validExponent = true;\n acceptSign = false;\n } else {\n break;\n }\n pos++;\n column++;\n }\n\n if (!validExponent) {\n pos = resetPos;\n column = resetColumn;\n }\n }\n\n if (valid) {\n this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos)));\n this.pos = pos;\n this.column = column;\n } else {\n this.pos = resetPos;\n this.column = resetColumn;\n }\n return valid;\n};\n\nTokenStream.prototype.isOperator = function () {\n var char = this.expression.charAt(this.pos);\n\n if (char === '+' || char === '-' || char === '*' || char === '/' || char === '%' || char === '^' || char === '?' || char === ':' || char === '.') {\n this.current = this.newToken(TOP, char);\n } else if (char === '∙' || char === '•') {\n this.current = this.newToken(TOP, '*');\n } else if (char === '>') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '>=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '>');\n }\n } else if (char === '<') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '<=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, '<');\n }\n } else if (char === '|') {\n if (this.expression.charAt(this.pos + 1) === '|') {\n this.current = this.newToken(TOP, '||');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '=') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '==');\n this.pos++;\n this.column++;\n } else {\n return false;\n }\n } else if (char === '!') {\n if (this.expression.charAt(this.pos + 1) === '=') {\n this.current = this.newToken(TOP, '!=');\n this.pos++;\n this.column++;\n } else {\n this.current = this.newToken(TOP, char);\n }\n } else {\n return false;\n }\n this.pos++;\n this.column++;\n return true;\n};\n\nTokenStream.prototype.parseError = function (msg) {\n throw new Error('parse error [' + (this.line + 1) + ':' + (this.column + 1) + ']: ' + msg);\n};\n\nvar unaryInstructionCache = {};\nfunction unaryInstruction(value) {\n var inst = unaryInstructionCache[value];\n if (!inst) {\n inst = unaryInstructionCache[value] = new Instruction(IOP1, value);\n }\n return inst;\n}\n\nvar binaryInstructionCache = {};\nfunction binaryInstruction(value) {\n var inst = binaryInstructionCache[value];\n if (!inst) {\n inst = binaryInstructionCache[value] = new Instruction(IOP2, value);\n }\n return inst;\n}\n\nvar ternaryInstructionCache = {};\nfunction ternaryInstruction(value) {\n var inst = ternaryInstructionCache[value];\n if (!inst) {\n inst = ternaryInstructionCache[value] = new Instruction(IOP3, value);\n }\n return inst;\n}\n\nfunction ParserState(parser, tokenStream) {\n this.parser = parser;\n this.tokens = tokenStream;\n this.current = null;\n this.nextToken = null;\n this.next();\n this.savedCurrent = null;\n this.savedNextToken = null;\n}\n\nParserState.prototype.next = function () {\n this.current = this.nextToken;\n return (this.nextToken = this.tokens.next());\n};\n\nParserState.prototype.tokenMatches = function (token, value) {\n if (typeof value === 'undefined') {\n return true;\n } else if (Array.isArray(value)) {\n return indexOf(value, token.value) >= 0;\n } else if (typeof value === 'function') {\n return value(token);\n } else {\n return token.value === value;\n }\n};\n\nParserState.prototype.save = function () {\n this.savedCurrent = this.current;\n this.savedNextToken = this.nextToken;\n this.tokens.save();\n};\n\nParserState.prototype.restore = function () {\n this.tokens.restore();\n this.current = this.savedCurrent;\n this.nextToken = this.savedNextToken;\n};\n\nParserState.prototype.accept = function (type, value) {\n if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) {\n this.next();\n return true;\n }\n return false;\n};\n\nParserState.prototype.expect = function (type, value) {\n if (!this.accept(type, value)) {\n throw new Error('parse error [' + this.tokens.line + ':' + this.tokens.column + ']: Expected ' + (value || type));\n }\n};\n\nParserState.prototype.parseAtom = function (instr) {\n if (this.accept(TNAME)) {\n instr.push(new Instruction(IVAR, this.current.value));\n } else if (this.accept(TNUMBER)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TSTRING)) {\n instr.push(new Instruction(INUMBER, this.current.value));\n } else if (this.accept(TPAREN, '(')) {\n this.parseExpression(instr);\n this.expect(TPAREN, ')');\n } else {\n throw new Error('unexpected ' + this.nextToken);\n }\n};\n\nParserState.prototype.parseExpression = function (instr) {\n this.parseConditionalExpression(instr);\n};\n\nParserState.prototype.parseConditionalExpression = function (instr) {\n this.parseOrExpression(instr);\n while (this.accept(TOP, '?')) {\n var trueBranch = [];\n var falseBranch = [];\n this.parseConditionalExpression(trueBranch);\n this.expect(TOP, ':');\n this.parseConditionalExpression(falseBranch);\n instr.push(new Instruction(IEXPR, trueBranch));\n instr.push(new Instruction(IEXPR, falseBranch));\n instr.push(ternaryInstruction('?'));\n }\n};\n\nParserState.prototype.parseOrExpression = function (instr) {\n this.parseAndExpression(instr);\n while (this.accept(TOP, 'or')) {\n this.parseAndExpression(instr);\n instr.push(binaryInstruction('or'));\n }\n};\n\nParserState.prototype.parseAndExpression = function (instr) {\n this.parseComparison(instr);\n while (this.accept(TOP, 'and')) {\n this.parseComparison(instr);\n instr.push(binaryInstruction('and'));\n }\n};\n\nParserState.prototype.parseComparison = function (instr) {\n this.parseAddSub(instr);\n while (this.accept(TOP, ['==', '!=', '<', '<=', '>=', '>'])) {\n var op = this.current;\n this.parseAddSub(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseAddSub = function (instr) {\n this.parseTerm(instr);\n while (this.accept(TOP, ['+', '-', '||'])) {\n var op = this.current;\n this.parseTerm(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseTerm = function (instr) {\n this.parseFactor(instr);\n while (this.accept(TOP, ['*', '/', '%'])) {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(binaryInstruction(op.value));\n }\n};\n\nParserState.prototype.parseFactor = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n this.save();\n if (this.accept(TOP, isPrefixOperator)) {\n if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) {\n this.restore();\n this.parseExponential(instr);\n } else {\n var op = this.current;\n this.parseFactor(instr);\n instr.push(unaryInstruction(op.value));\n }\n } else {\n this.parseExponential(instr);\n }\n};\n\nParserState.prototype.parseExponential = function (instr) {\n this.parsePostfixExpression(instr);\n while (this.accept(TOP, '^')) {\n this.parseFactor(instr);\n instr.push(binaryInstruction('^'));\n }\n};\n\nParserState.prototype.parsePostfixExpression = function (instr) {\n this.parseFunctionCall(instr);\n while (this.accept(TOP, '!')) {\n instr.push(unaryInstruction('!'));\n }\n};\n\nParserState.prototype.parseFunctionCall = function (instr) {\n var unaryOps = this.tokens.unaryOps;\n function isPrefixOperator(token) {\n return token.value in unaryOps;\n }\n\n if (this.accept(TOP, isPrefixOperator)) {\n var op = this.current;\n this.parseAtom(instr);\n instr.push(unaryInstruction(op.value));\n } else {\n this.parseMemberExpression(instr);\n while (this.accept(TPAREN, '(')) {\n if (this.accept(TPAREN, ')')) {\n instr.push(new Instruction(IFUNCALL, 0));\n } else {\n var argCount = this.parseArgumentList(instr);\n instr.push(new Instruction(IFUNCALL, argCount));\n }\n }\n }\n};\n\nParserState.prototype.parseArgumentList = function (instr) {\n var argCount = 0;\n\n while (!this.accept(TPAREN, ')')) {\n this.parseExpression(instr);\n ++argCount;\n while (this.accept(TCOMMA)) {\n this.parseExpression(instr);\n ++argCount;\n }\n }\n\n return argCount;\n};\n\nParserState.prototype.parseMemberExpression = function (instr) {\n this.parseAtom(instr);\n while (this.accept(TOP, '.')) {\n this.expect(TNAME);\n instr.push(new Instruction(IMEMBER, this.current.value));\n }\n};\n\nfunction Parser() {\n this.unaryOps = {\n sin: Math.sin,\n cos: Math.cos,\n tan: Math.tan,\n asin: Math.asin,\n acos: Math.acos,\n atan: Math.atan,\n sinh: Math.sinh || sinh,\n cosh: Math.cosh || cosh,\n tanh: Math.tanh || tanh,\n asinh: Math.asinh || asinh,\n acosh: Math.acosh || acosh,\n atanh: Math.atanh || atanh,\n sqrt: Math.sqrt,\n log: Math.log,\n ln: Math.log,\n lg: Math.log10 || log10,\n log10: Math.log10 || log10,\n abs: Math.abs,\n ceil: Math.ceil,\n floor: Math.floor,\n round: Math.round,\n trunc: Math.trunc || trunc,\n '-': neg,\n '+': Number,\n exp: Math.exp,\n not: not,\n length: stringLength,\n '!': factorial\n };\n\n this.binaryOps = {\n '+': add,\n '-': sub,\n '*': mul,\n '/': div,\n '%': mod,\n '^': Math.pow,\n '||': concat,\n '==': equal,\n '!=': notEqual,\n '>': greaterThan,\n '<': lessThan,\n '>=': greaterThanEqual,\n '<=': lessThanEqual,\n and: andOperator,\n or: orOperator\n };\n\n this.ternaryOps = {\n '?': condition\n };\n\n this.functions = {\n random: random,\n fac: factorial,\n min: Math.min,\n max: Math.max,\n hypot: Math.hypot || hypot,\n pyt: Math.hypot || hypot, // backward compat\n pow: Math.pow,\n atan2: Math.atan2,\n 'if': condition,\n gamma: gamma\n };\n\n this.consts = {\n E: Math.E,\n PI: Math.PI,\n 'true': true,\n 'false': false\n };\n}\n\nParser.parse = function (expr) {\n return new Parser().parse(expr);\n};\n\nParser.evaluate = function (expr, variables) {\n return Parser.parse(expr).evaluate(variables);\n};\n\nParser.prototype = {\n parse: function (expr) {\n var instr = [];\n var parserState = new ParserState(this, new TokenStream(expr, this.unaryOps, this.binaryOps, this.ternaryOps, this.consts));\n parserState.parseExpression(instr);\n parserState.expect(TEOF, 'EOF');\n\n return new Expression(instr, this);\n },\n\n evaluate: function (expr, variables) {\n return this.parse(expr).evaluate(variables);\n }\n};\n\nvar parser = {\n Parser: Parser,\n Expression: Expression\n};\n\nreturn parser;\n\n})));\n","/*\n* Author Jonathan Lurie - http://me.jonahanlurie.fr\n* License MIT\n* Link https://github.com/jonathanlurie/pixpipejs\n* Lab MCIN - Montreal Neurological Institute\n*/\n\n\nimport Parser from 'expr-eval'\nimport { Image2D } from '../core/Image2D.js';\nimport { ImageToImageFilter } from '../core/ImageToImageFilter.js';\n\n\n/**\n* An instance of ImageBlendExpressionFilter takes Image2D inputs, as many as\n* we need as long as they have the same size and the same number of components\n* per pixel.\n* This filter blends images pixel values using a literal expression. This expression\n* should be set using `setMetadata( \"expresssion\", \"A * B\" )` , where `A` and `B`\n* are the categories set in input.\n*\n* Using a blending expression is the aesiest way to test a blending but it is a\n* pretty slow process since the expresion has to be evaluated for every process.\n* To speed-up your process, it is recomended to develop a new filter that does\n* exactly (and only) the blending method you want.\n*\n* usage: examples/imageBlending.html\n* usage: examples/imageBlending2.html\n* usage: examples/forEachPixelGradientBlend.html\n*\n*/\nclass ImageBlendExpressionFilter extends ImageToImageFilter {\n\n constructor(){\n super();\n this._addOutput( Image2D );\n }\n\n\n\n _run(){\n\n // the metadata was not set\n if(!this.hasMetadata(\"expression\")){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires a blending expression.\\nUse 'setMetadata(\\\"expression\\\", \\\"...\\\")' to set it.\" );\n return;\n }\n\n if( !this.hasSameNcppInput() || !this.hasSameSizeInput() ){\n return;\n }\n\n if(!this.getNumberOfInputs()){\n console.warn(\"A filter of type ImageBlendExpressionFilter requires at least one inpupt.\");\n return;\n }\n\n var inputCategories = this.getInputCategories();\n var firstInput = this._getInput( inputCategories[0] );\n var outputBuffer = firstInput.getDataCopy();\n var parser = new Parser.Parser();\n var expr = parser.parse( this.getMetadata(\"expression\") );\n\n for(var i=0; iPixpipejs // only shows where the mask is white blendingFilter.setMetadata("expression", "B > A ? B : A"); - var t0 = performance.now(); // apply the gradient on the loaded image blendingFilter.update(); - var t1 = performance.now(); - console.log("Performing blending took " + (t1 - t0) + " milliseconds."); // create a filter to write the image into a canvas var imageToCanvasFilter = new pixpipe.CanvasImageWriter( ); diff --git a/examples/mathExpressionImage2D.html b/examples/mathExpressionImage2D.html deleted file mode 100644 index aff0cb6..0000000 --- a/examples/mathExpressionImage2D.html +++ /dev/null @@ -1,55 +0,0 @@ - - - URL to Image2D - - - - - - - - -

Pixpipejs

-

- This does the following : -

    -
  • opening a distant image file with AJAX request, using pixpipe.UrlImageReader
    • -
  • displaying it in a canvas using pixpipe.CanvasImageWriter
    • -
-

- -
- - - - - diff --git a/package.json b/package.json index 2eb3726..47a4746 100644 --- a/package.json +++ b/package.json @@ -37,6 +37,7 @@ "gulp-rollup": "^2.11.0", "gulp-util": "^3.0.8", "rollup": "^0.41.4", + "rollup-plugin-bundle-worker": "^0.1.0", "rollup-plugin-commonjs": "^8.0.2", "rollup-plugin-node-resolve": "^2.0.0" } diff --git a/readme.md b/readme.md index 939da00..2a79ae1 100644 --- a/readme.md +++ b/readme.md @@ -24,5 +24,8 @@ MIT - See [LICENSE file](LICENSE). # Todo -## doc for dev -- how to make _inputValidator (Filter) and when to call validateInput +- Doc and tutorials for developers +- Integrate wokers with Rollup +- FFT +- Image3D +- Readers for Minc and NIfTI diff --git a/rollup.config.js b/rollup.config.js index c265c0d..b778c3e 100644 --- a/rollup.config.js +++ b/rollup.config.js @@ -2,6 +2,7 @@ var config = require('./package.json'); import commonjs from 'rollup-plugin-commonjs'; import nodeResolve from 'rollup-plugin-node-resolve'; +import bundleWorker from 'rollup-plugin-bundle-worker'; export default { entry: config.main, @@ -11,6 +12,7 @@ export default { dest: config.moduleBuildDir + '/' + config.moduleName + '.js', plugins: [ nodeResolve(), - commonjs() + commonjs(), + bundleWorker() ] }; diff --git a/src/core/Filter.js b/src/core/Filter.js index 7c96101..a601aaa 100644 --- a/src/core/Filter.js +++ b/src/core/Filter.js @@ -36,6 +36,10 @@ class Filter extends PipelineElement { //"0" : [] }; + // to leasure time. The 2 default values are added by _beforeRun and _afterRun + // under the name of "begin" and "end" + this._timer = {}; + this._isOutputReady = false; } @@ -198,10 +202,44 @@ class Filter extends PipelineElement { * Launch the process. */ update(){ + this.addTimeRecord("begin"); + this._run(); + this.addTimeRecord("end"); + console.log("Running time for filter " + this.constructor.name + ": " + this.getTime("begin", "end") + "ms."); + } + + + /** + * + */ + _run(){ console.error("The update() method has not been written, this filter is not valid."); } + /** + * Set a time measurement (from an arbitrary starting point) + * @param {String} recordName - name of the record + */ + addTimeRecord( recordName ){ + this._timer[ recordName ] = performance.now(); + } + + + /** + * @return {Number} the elapsed time in ms between fromRecord and toRecord. + * Return -1 if one or both time record + */ + getTime(fromRecord, toRecord){ + if( fromRecord in this._timer && toRecord in this._timer ){ + return Math.abs(this._timer[toRecord] - this._timer[fromRecord]) + }else{ + console.warn("The two given record name must exist in the time record table."); + return -1; + } + } + + /** * Defines a callback. By defautl, no callback is called. */ diff --git a/src/filter/ForEachPixelImageFilter.js b/src/filter/ForEachPixelImageFilter.js index e15bb9d..07db8a6 100644 --- a/src/filter/ForEachPixelImageFilter.js +++ b/src/filter/ForEachPixelImageFilter.js @@ -46,7 +46,7 @@ class ForEachPixelImageFilter extends PixelWiseImageFilter { /** * Run the filter */ - update(){ + _run(){ if( ! this.hasValidInput()) return; diff --git a/src/filter/ImageBlendExpressionFilter.js b/src/filter/ImageBlendExpressionFilter.js index b34f19b..0b6ff4c 100644 --- a/src/filter/ImageBlendExpressionFilter.js +++ b/src/filter/ImageBlendExpressionFilter.js @@ -38,7 +38,7 @@ class ImageBlendExpressionFilter extends ImageToImageFilter { - update(){ + _run(){ // the metadata was not set if(!this.hasMetadata("expression")){ diff --git a/src/filter/SpectralScaleImageFilter.js b/src/filter/SpectralScaleImageFilter.js index f640a23..9bcf683 100644 --- a/src/filter/SpectralScaleImageFilter.js +++ b/src/filter/SpectralScaleImageFilter.js @@ -33,7 +33,7 @@ class SpectralScaleImageFilter extends ImageToImageFilter { /** * Run the filter */ - update(){ + _run(){ // filter must have valid input of the same size if( !this.hasSameSizeInput() || !this.hasValidInput()){ return; diff --git a/src/io/CanvasImageWriter.js b/src/io/CanvasImageWriter.js index 64a8cbb..32624f7 100644 --- a/src/io/CanvasImageWriter.js +++ b/src/io/CanvasImageWriter.js @@ -73,7 +73,7 @@ class CanvasImageWriter extends Filter{ /** * Overwrite the generic (empty) method. */ - update(){ + _run(){ // abort if invalid input if(!this.hasValidInput() ) @@ -127,14 +127,8 @@ class CanvasImageWriter extends Filter{ } - - - - this._ctx.putImageData(canvasImageData, 0, 0); - - } } diff --git a/src/io/FileImageReader.js b/src/io/FileImageReader.js index ca2319e..2055447 100644 --- a/src/io/FileImageReader.js +++ b/src/io/FileImageReader.js @@ -35,7 +35,7 @@ class FileImageReader extends Filter { super(); this._allowedTypes = /image.*/; - this._onReadCallback = callback; + this._addOutput( Image2D, 0 ); } @@ -59,7 +59,7 @@ class FileImageReader extends Filter { /** * Run the reading */ - update(){ + _run(){ if(! this.hasValidInput) return @@ -80,10 +80,8 @@ class FileImageReader extends Filter { var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); var dataArray = imageData.data; - var img2D = new Image2D(); + var img2D = that.getOutput(); img2D.setData( dataArray, img.width, img.height); - console.log(img2D); - that._setOutput( img2D ); if("imageLoaded" in that._events){ that._events.imageLoaded( that ) diff --git a/src/io/UrlImageReader.js b/src/io/UrlImageReader.js index 180d7a9..8cfa86c 100644 --- a/src/io/UrlImageReader.js +++ b/src/io/UrlImageReader.js @@ -38,49 +38,13 @@ class UrlImageReader extends Filter { super(); this._loadedCounter = 0; this._addOutput( Image2D, 0 ); - } /** - * Run the reading + * Overload the function */ - update_ORIG(){ - var that = this; - - var img = new Image(); - img.src = this._getInput(); - - img.onload = function() { - var tmpCanvas = document.createElement("canvas"); - tmpCanvas.width = img.width; - tmpCanvas.height = img.height; - var canvasContext = tmpCanvas.getContext('2d'); - canvasContext.drawImage(img, 0, 0); - - try{ - var imageData = canvasContext.getImageData(0, 0, tmpCanvas.width, tmpCanvas.height); - var dataArray = imageData.data; - - var img2D = that.getOutput( category ); - img2D.setData( dataArray, img.width, img.height); - - // call the loaded callback only when all images are loaded - if( "imageLoaded" in that._events){ - that._events.imageLoaded( that ) - } - - }catch(e){ - console.error(e); - } - - }; - - - } - - - update(){ + _run(){ var that = this; var inputCategories = this.getInputCategories(); @@ -91,6 +55,10 @@ class UrlImageReader extends Filter { } + /** + * [PRIVATE] + * Loading task for a single category (aka file, in this case) + */ _loadImage( inputCategory ){ var that = this;