Dimensional Volume Scaling linear scale factor Solver

            from math import *

def dimensional_volume_scaling_solve_b(c, a) -> float:
    return cbrt((c / a))

assert abs(dimensional_volume_scaling_solve_b(216, 64) - 1.5) < 1e-6 * max(1.0, abs(1.5))
          

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

double dimensional_volume_scaling_solve_b(double c, double a) {
    return cbrt((c / a));
}

int main(void) {
    const double expected = 1.5;
    const double actual = dimensional_volume_scaling_solve_b(216, 64);
    assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
          

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

double dimensional_volume_scaling_solve_b(double c, double a) {
    return std::cbrt((c / a));
}

int main() {
    constexpr double expected = 1.5;
    const double actual = dimensional_volume_scaling_solve_b(216, 64);
    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 dimensional_volume_scaling_solve_b(double c, double a)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
extern cbrt
global dimensional_volume_scaling_solve_b
section .text

dimensional_volume_scaling_solve_b:
    push rbp
    mov rbp, rsp
    sub rsp, 32
    movsd [rbp-8], xmm0
    movsd [rbp-16], xmm1
    movsd xmm0, [rbp-8]
    divsd xmm0, [rbp-16]
    movsd [rbp-32], xmm0
    movsd xmm0, [rbp-32]
    call cbrt wrt ..plt
    movsd [rbp-24], xmm0
    movsd xmm0, [rbp-24]
    leave
    ret
          

            function result = dimensional_volume_scaling_solve_b(c, a)
    result = nthroot((c / a), 3);
end
          

            ClearAll[mwCalculate];
mwCalculate[c_, a_] := Surd[(c / a), 3];