math.pat

#pragma once

#include <std/mem.pat>

/*!
	Library containing more advanced mathematical operations.
*/

namespace std::math {

	/**
		Compares the values `a` and `b` with each other and returns the smaller of the two
		@param a First value
		@param b Second value
		@return `a` if `a` is smaller than `b`, otherwise `b`
	*/
	fn min(auto a, auto b) {
		if (a < b)
			return a;
		else
			return b;
	};
	
	/**
		Compares the values `a` and `b` with each other and returns the bigger of the two
		@param a First value
		@param b Second value
		@return `a` if `a` is bigger than `b`, otherwise `b`
	*/
	fn max(auto a, auto b) {
		if (a > b)
			return a;
		else
			return b;
	};

	/**
		Clamps the value of `x` between `min` and `max`.
		@param x Value
		@param min Minimum value
		@param max Maximum value
		@return `min` if `x` is smaller than `min`, `max` if `x` is bigger than `max`, `x` otherwise
	*/
	fn clamp(auto x, auto min, auto max) {
		if (x < min)
			return min;
		else if (x > max)
			return max;
		else
			return x;
	};

	/**
		Returns the absolute value of `x`.
		@param x Value
		@return `x` if `x` is positive, `-x` otherwise
	*/
	fn abs(auto x) {
		if (x < 0) 
			return -x;
		else 
			return x;
	};

	/**
		Returns the sign of `x`.
		@param x Value
		@return `1` if `x` is positive, `-1` if `x` is negative, `0` if `x` is zero
	*/
	fn sign(auto x) {
		if (x > 0)
			return 1;
		else if (x < 0)
			return -1;
		else
			return 0;
	};

	/**
		Copies the sign of `y` to `x`.
		@param x Value
		@param y Value
		@return `x` if `y` is positive, `-x` if `y` is negative
	*/
	fn copy_sign(auto x, auto y) {
		if (y >= 0)
			return std::math::abs(x);
		else
			return -std::math::abs(x);
	};

	/**
		Calculates the factorial of `x`.
		@param x Value
		@return Factorial of `x`
	*/
	fn factorial(u128 x) {
		u128 result;
		
		result = x;
		while (x > 1) {
			x = x - 1;
			result = result * x;
		}
		
		return result;
	};

	/**
		Calculates the binomial coefficient of `n` and `k`.
		@param n Value
		@param k Value
		@return Binomial coefficient of `n` and `k`
	*/
	fn comb(u128 n, u128 k) {
		if (k > n)
			return 0;
		else
			return std::math::factorial(n) / (std::math::factorial(k) * std::math::factorial(n - k));
	};

	/**
		Calculates the permutation of `n` and `k`.
		@param n Value
		@param k Value
		@return Permutation of `n` and `k`
	*/
	fn perm(u128 n, u128 k) {
		if (k > n)
			return 0;
		else
			return std::math::factorial(n) / std::math::factorial(n - k);
	};

	/**
		Floors the value of `value`.
		@param value Value
		@return `value` floored
	*/
	fn floor(auto value) { return builtin::std::math::floor(value); };

	/**
		Ceils the value of `value`.
		@param value Value
		@return `value` ceiled
	*/
	fn ceil(auto value) { return builtin::std::math::ceil(value); };

	/**
		Rounds the value of `value`.
		@param value Value
		@return `value` rounded
	*/
	fn round(auto value) { return builtin::std::math::round(value); };

	/**
		Truncates the value of `value`.
		@param value Value
		@return `value` truncated
	*/
	fn trunc(auto value) { return builtin::std::math::trunc(value); };


	/**
		Calculates the logarithm of `value` with base 10.
		@param value Value
		@return Logarithm of `value` with base 10
	*/
	fn log10(auto value) { return builtin::std::math::log10(value); };

	/**
		Calculates the logarithm of `value` with base 2.
		@param value Value
		@return Logarithm of `value` with base 2
	*/
	fn log2(auto value) { return builtin::std::math::log2(value); };

	/**
		Calculates the natural logarithm of `value`.
		@param value Value
		@return Logarithm of `value` with base `e`
	*/
	fn ln(auto value) { return builtin::std::math::ln(value); };

	/**
		Calculates the floating point modulus of `value`.
		@param value Value
		@return Floating point modulus of `value`
	*/
	fn fmod(auto value) { return builtin::std::math::fmod(value); };

	/**
		Calculates the value of `base` raised to the power of `exp`.
		@param base Base
		@param exp Exponent
		@return `base` raised to the power of `exp`
	*/
	fn pow(auto base, auto exp) { return builtin::std::math::pow(base, exp); };

    /**
		Calculates the value of the natural number `e`	raised to the power of `value`.
		@param value Exponent
		@return `e` raised to the power of `value`
	*/
    fn exp(auto value) { return builtin::std::math::exp(value); };

	/**
		Calculates the square root of `value`.
		@param value Value
		@return Square root of `value`
	*/
	fn sqrt(auto value) { return builtin::std::math::sqrt(value); };

	/**
		Calculates the cubic root of `value`.
		@param value Value
		@return Cubic root of `value`
	*/
	fn cbrt(auto value) { return builtin::std::math::cbrt(value); };

	/**
		Calculates the sine of `value`.
		@param value Angle value in radians
		@return Sine of `value`
	*/
	fn sin(auto value) { return builtin::std::math::sin(value); };

	/**
		Calculates the cosine of `value`.
		@param value Angle value in radians
		@return Cosine of `value`
	*/
	fn cos(auto value) { return builtin::std::math::cos(value); };

	/**
		Calculates the tangent of `value`.
		@param value Angle value in radians
		@return Tangent of `value`
	*/
	fn tan(auto value) { return builtin::std::math::tan(value); };

	/**
		Calculates the arc sine of `value`.
		@param value Angle value in radians
		@return Arc sine of `value`
	*/
	fn asin(auto value) { return builtin::std::math::asin(value); };

	/**
		Calculates the arc cosine of `value`.
		@param value Value
		@return Arc cosine of `value` in radians
	*/
	fn acos(auto value) { return builtin::std::math::acos(value); };

	/**
		Calculates the arc tangent of `value`.
		@param value Value
		@return Arc tangent of `value` in radians between `-pi/2` and `pi/2`
	*/
	fn atan(auto value) { return builtin::std::math::atan(value); };

	/**
		Calculates the arc tangent of `value`.
		@param y Value representing the proportion of the y-coordinate
		@param x Value representing the proportion of the x-coordinate.
		@return Arc tangent of `value` in radians between `-pi` and `pi`
	*/
	fn atan2(auto y, auto x) { return builtin::std::math::atan2(y, x); };

	/**
		Calculates the hyperbolic sine of `value`.
		@param value Angle value in radians
		@return Hyperbolic sine of `value`
	*/
	fn sinh(auto value) { return builtin::std::math::sinh(value); };

	/**
		Calculates the hyperbolic cosine of `value`.
		@param value Angle value in radians
		@return Hyperbolic cosine of `value`
	*/
	fn cosh(auto value) { return builtin::std::math::cosh(value); };

	/**
		Calculates the hyperbolic tangent of `value`.
		@param value Angle value in radians
		@return Hyperbolic tangent of `value`
	*/
	fn tanh(auto value) { return builtin::std::math::tanh(value); };


	/**
		Calculates the arc hyperbolic sine of `value`.
		@param value Value
		@return Arc hyperbolic sine of `value`
	*/
	fn asinh(auto value) { return builtin::std::math::asinh(value); };

	/**
		Calculates the arc hyperbolic cosine of `value`.
		@param value Value
		@return Arc hyperbolic cosine of `value`
	*/
	fn acosh(auto value) { return builtin::std::math::acosh(value); };

	/**
		Calculates the arc hyperbolic tangent of `value`.
		@param value Value
		@return Arc hyperbolic tangent of `value`
	*/
	fn atanh(auto value) { return builtin::std::math::atanh(value); };


	/**
		Options to use with the `std::math::accumulate` function.
	*/
	enum AccumulateOperation : u8 {
		Add 		= 0,
		Multiply 	= 1,
		Modulo 		= 2,
		Min 		= 3,
		Max 		= 4
	};

	/**
		Calculates the sum of all values in the specified memory range.
		@param start Start address
		@param end End address
		@param valueSize Size of each value in bytes
		@param section Section to use
		@param operation Operation to use
		@param endian Endianness to use
		@return Sum of all values in the specified memory range
	*/
	fn accumulate(u128 start, u128 end, u128 valueSize, std::mem::Section section = 0, AccumulateOperation operation = AccumulateOperation::Add, std::mem::Endian endian = std::mem::Endian::Native) {
		return builtin::std::math::accumulate(start, end, valueSize, section, u128(operation), u128(endian));
	};
	
}