#include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
/*
Compare two float vectors element-by-element using a tolerance.
Floating-point values often differ slightly due to rounding,
so we treat two numbers as "equal" when their absolute difference
is below a chosen threshold.
*/
// Compares two float vectors and returns true if all elements match within tolerance
bool compareFloatVectors(
const std::vector<float>& a,
const std::vector<float>& b,
float tolerance
) {
// If sizes differ, vectors cannot be considered equal
if (a.size() != b.size()) {
return false;
}
// Use std::equal with a custom predicate for expressive comparison
return std::equal(
a.begin(),
a.end(),
b.begin(),
[tolerance](float lhs, float rhs) {
// Compare using absolute difference
return std::fabs(lhs - rhs) <= tolerance;
}
);
}
// Prints the comparison result
void printComparison(bool result) {
if (result) {
std::cout << "Vectors are equal within tolerance.\n";
} else {
std::cout << "Vectors differ.\n";
}
}
int main() {
// Example vectors
std::vector<float> floatVec1{
12314.9872f,
3.14f,
12387.91372f,
8873.579013f
};
std::vector<float> floatVec2{
12314.9872f,
3.14f,
12387.91371f,
8873.579013f
};
// Tolerance chosen for this comparison
float tolerance = 0.001f;
// Perform comparison
bool result = compareFloatVectors(floatVec1, floatVec2, tolerance);
// Output result
printComparison(result);
}
/*
run:
Vectors are equal within tolerance.
*/
