What is method g(&self) in calculating?

[qxzhou1010]

In path sdk/lib/spiral-rs/src/params.rs, there is a function g:

    pub fn g(&self) -> usize {
        let num_bits_to_gen = self.t_gsw * self.db_dim_2 + self.num_expanded();
        log2_ceil_usize(num_bits_to_gen)
    }

According to the paper, this most likely corresponds to page-18, $r_1$ in equation (4.1).

In the paper, $r_1 = 1 + v_1$. However, the calculations here in the code look much more complicated: $$ceil( \log_2( t_{GSW} * v_2 + 2^{v_1}))$$.

This is inconsistent with the paper. Please tell me what the function g(&self) here is calculating and which part of the paper it corresponds to.