Spectral Amplitude Dynamic Range in Decibels positive smallest resolved amplitude Solver

            from math import *

def spectral_amplitude_dynamic_range_solve_b(c, a) -> float:
    return (a / pow(10.0, (c / 20.0)))

assert abs(spectral_amplitude_dynamic_range_solve_b(59.99999999999999, 1000) - 1.000000000000001) < 1e-6 * max(1.0, abs(1.000000000000001))
          

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

double spectral_amplitude_dynamic_range_solve_b(double c, double a) {
    return (a / pow(10.0, (c / 20.0)));
}

int main(void) {
    const double expected = 1.000000000000001;
    const double actual = spectral_amplitude_dynamic_range_solve_b(59.99999999999999, 1000);
    assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
          

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

double spectral_amplitude_dynamic_range_solve_b(double c, double a) {
    return (a / std::pow(10.0, (c / 20.0)));
}

int main() {
    constexpr double expected = 1.000000000000001;
    const double actual = spectral_amplitude_dynamic_range_solve_b(59.99999999999999, 1000);
    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 spectral_amplitude_dynamic_range_solve_b(double c, double a)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
extern pow
global spectral_amplitude_dynamic_range_solve_b
section .text

spectral_amplitude_dynamic_range_solve_b:
    push rbp
    mov rbp, rsp
    sub rsp, 64
    movsd [rbp-8], xmm0
    movsd [rbp-16], xmm1
    mov rax, 0x4024000000000000
    movq xmm0, rax
    movsd [rbp-40], xmm0
    mov rax, 0x4034000000000000
    movq xmm0, rax
    movsd [rbp-56], xmm0
    movsd xmm0, [rbp-8]
    divsd xmm0, [rbp-56]
    movsd [rbp-48], xmm0
    movsd xmm0, [rbp-40]
    movsd xmm1, [rbp-48]
    call pow wrt ..plt
    movsd [rbp-32], xmm0
    movsd xmm0, [rbp-16]
    divsd xmm0, [rbp-32]
    movsd [rbp-24], xmm0
    movsd xmm0, [rbp-24]
    leave
    ret
          

            function result = spectral_amplitude_dynamic_range_solve_b(c, a)
    result = (a / (10.0 ^ (c / 20.0)));
end
          

            ClearAll[mwCalculate];
mwCalculate[c_, a_] := (a / (10.0 ^ (c / 20.0)));