Telescope Light-Gathering Ratio reference telescope aperture Solver

            from math import *

def telescope_light_gathering_ratio_solve_b(c, a) -> float:
    return (a / sqrt(c))

assert abs(telescope_light_gathering_ratio_solve_b(6.25, 250) - 100) < 1e-6 * max(1.0, abs(100))
          

            #include <assert.h>
#include <math.h>

double telescope_light_gathering_ratio_solve_b(double c, double a) {
    return (a / sqrt(c));
}

int main(void) {
    const double expected = 100;
    const double actual = telescope_light_gathering_ratio_solve_b(6.25, 250);
    assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
          

            #include <cassert>
#include <cmath>
#include <numbers>

double telescope_light_gathering_ratio_solve_b(double c, double a) {
    return (a / std::sqrt(c));
}

int main() {
    constexpr double expected = 100;
    const double actual = telescope_light_gathering_ratio_solve_b(6.25, 250);
    assert(std::fabs(actual - expected) < 1e-6 * std::fmax(1.0, std::fabs(expected)));
}
          

x86-64 NASM · System V ABI · Linux · SSE2 with libm where required

            ; double telescope_light_gathering_ratio_solve_b(double c, double a)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global telescope_light_gathering_ratio_solve_b
section .text

telescope_light_gathering_ratio_solve_b:
    push rbp
    mov rbp, rsp
    sub rsp, 32
    movsd [rbp-8], xmm0
    movsd [rbp-16], xmm1
    sqrtsd xmm0, [rbp-8]
    movsd [rbp-32], xmm0
    movsd xmm0, [rbp-16]
    divsd xmm0, [rbp-32]
    movsd [rbp-24], xmm0
    movsd xmm0, [rbp-24]
    leave
    ret
          

            function result = telescope_light_gathering_ratio_solve_b(c, a)
    result = (a / sqrt(c));
end
          

            ClearAll[mwCalculate];
mwCalculate[c_, a_] := (a / Sqrt[c]);