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Added test cases

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Gahjouyooj 2023-04-19 19:47:59 +08:00
parent 685469d2c4
commit a1433a9318
1 changed files with 8 additions and 8 deletions
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16
math/quadratic_equations_complex_numbers.cpp
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@ -52,20 +52,20 @@ std::array<std::complex<long double>, 2> quadraticEquation(long double a,
long double discriminant = b * b - 4 * a * c; long double discriminant = b * b - 4 * a * c;
std::array<std::complex<long double>, 2> solutions{0, 0}; std::array<std::complex<long double>, 2> solutions{0, 0};
// Complex root (discriminant < 0) /// Complex root (discriminant < 0)
// Note that the left term (-b / 2a) is always real. The imaginary part /// Note that the left term (-b / 2a) is always real. The imaginary part
// appears when b^2 - 4ac < 0, so sqrt(b^2 - 4ac) has no real roots. So, the /// appears when b^2 - 4ac < 0, so sqrt(b^2 - 4ac) has no real roots. So,
// imaginary component is i * (+/-)sqrt(abs(b^2 - 4ac)) / 2a. /// the imaginary component is i * (+/-)sqrt(abs(b^2 - 4ac)) / 2a.
if (discriminant < 0) { if (discriminant < 0) {
// Since b^2 - 4ac is < 0, for faster computation, -discriminant is /// Since b^2 - 4ac is < 0, for faster computation, -discriminant is
// enough to make it positive. /// enough to make it positive.
solutions[0] = std::complex<long double>{ solutions[0] = std::complex<long double>{
-b * 0.5 / a, -std::sqrt(-discriminant) * 0.5 / a}; -b * 0.5 / a, -std::sqrt(-discriminant) * 0.5 / a};
solutions[1] = std::complex<long double>{ solutions[1] = std::complex<long double>{
-b * 0.5 / a, std::sqrt(-discriminant) * 0.5 / a}; -b * 0.5 / a, std::sqrt(-discriminant) * 0.5 / a};
} else { } else {
// Since discriminant > 0, there are only real roots. Therefore, /// Since discriminant > 0, there are only real roots. Therefore,
// imaginary component = 0. /// imaginary component = 0.
solutions[0] = std::complex<long double>{ solutions[0] = std::complex<long double>{
(-b - std::sqrt(discriminant)) * 0.5 / a, 0}; (-b - std::sqrt(discriminant)) * 0.5 / a, 0};
solutions[1] = std::complex<long double>{ solutions[1] = std::complex<long double>{