Lossless-Line Characteristic Impedance Calculator

            from math import *

def characteristic_impedance_root_calculator(a, b) -> float:
    return sqrt((a / b))

assert abs(characteristic_impedance_root_calculator(2.5e-7, 1e-10) - 50) < 1e-6 * max(1.0, abs(50))
          

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

double characteristic_impedance_root_calculator(double a, double b) {
    return sqrt((a / b));
}

int main(void) {
    const double expected = 50;
    const double actual = characteristic_impedance_root_calculator(2.5e-7, 1e-10);
    assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
          

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

double characteristic_impedance_root_calculator(double a, double b) {
    return std::sqrt((a / b));
}

int main() {
    constexpr double expected = 50;
    const double actual = characteristic_impedance_root_calculator(2.5e-7, 1e-10);
    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 characteristic_impedance_root_calculator(double a, double b)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global characteristic_impedance_root_calculator
section .text

characteristic_impedance_root_calculator:
    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
    sqrtsd xmm0, [rbp-32]
    movsd [rbp-24], xmm0
    movsd xmm0, [rbp-24]
    leave
    ret
          

            function result = characteristic_impedance_root_calculator(a, b)
    result = sqrt((a / b));
end
          

            ClearAll[mwCalculate];
mwCalculate[a_, b_] := Sqrt[(a / b)];