cesium-native/CesiumUtility/test/TestMath.cpp

151 lines
5.5 KiB
C++

#include <CesiumNativeTests/RandomVector.h>
#include <CesiumUtility/Math.h>
#include <doctest/doctest.h>
#include <glm/ext/vector_float3.hpp>
#include <glm/fwd.hpp>
#include <glm/geometric.hpp>
using namespace CesiumUtility;
TEST_CASE("Math::lerp") {
CHECK(Math::lerp(1.0, 2.0, 0.0) == 1.0);
CHECK(Math::lerp(1.0, 2.0, 0.5) == 1.5);
CHECK(Math::lerp(1.0, 2.0, 1.0) == 2.0);
}
TEST_CASE("Math::lerp example") {
//! [lerp]
double n = CesiumUtility::Math::lerp(0.0, 2.0, 0.5); // returns 1.0
//! [lerp]
(void)n;
}
TEST_CASE("Math::equalsEpsilon example") {
//! [equalsEpsilon]
bool a = CesiumUtility::Math::equalsEpsilon(
0.0,
0.01,
CesiumUtility::Math::Epsilon2); // true
bool b = CesiumUtility::Math::equalsEpsilon(
0.0,
0.1,
CesiumUtility::Math::Epsilon2); // false
bool c = CesiumUtility::Math::equalsEpsilon(
3699175.1634344,
3699175.2,
CesiumUtility::Math::Epsilon7); // true
bool d = CesiumUtility::Math::equalsEpsilon(
3699175.1634344,
3699175.2,
CesiumUtility::Math::Epsilon9); // false
//! [equalsEpsilon]
CHECK(a == true);
CHECK(b == false);
CHECK(c == true);
CHECK(d == false);
}
TEST_CASE("Math::convertLongitudeRange example") {
//! [convertLongitudeRange]
// Convert 270 degrees to -90 degrees longitude
double longitude = CesiumUtility::Math::convertLongitudeRange(
CesiumUtility::Math::degreesToRadians(270.0));
//! [convertLongitudeRange]
CHECK(longitude == CesiumUtility::Math::degreesToRadians(-90.0));
}
TEST_CASE("Math::roundUp and roundDown") {
CHECK(Math::roundUp(1.0, 0.01) == 1.0);
CHECK(Math::roundDown(1.0, 0.01) == 1.0);
CHECK(Math::roundUp(1.01, 0.01) == 2.0);
CHECK(Math::roundDown(1.99, 0.01) == 1.0);
CHECK(Math::roundUp(1.005, 0.01) == 1.0);
CHECK(Math::roundDown(1.995, 0.01) == 2.0);
CHECK(Math::roundUp(-1.0, 0.01) == -1.0);
CHECK(Math::roundDown(-1.0, 0.01) == -1.0);
CHECK(Math::roundUp(-1.99, 0.01) == -1.0);
CHECK(Math::roundDown(-1.01, 0.01) == -2.0);
CHECK(Math::roundUp(-1.995, 0.01) == -2.0);
CHECK(Math::roundDown(-1.005, 0.01) == -1.0);
}
TEST_CASE("Math::negativePitoPi") {
CHECK(Math::negativePiToPi(0.0) == 0.0);
CHECK(Math::negativePiToPi(+Math::OnePi) == +Math::OnePi);
CHECK(Math::negativePiToPi(-Math::OnePi) == -Math::OnePi);
CHECK(Math::negativePiToPi(+Math::OnePi - 1.0) == (+Math::OnePi - 1.0));
CHECK(Math::negativePiToPi(-Math::OnePi + 1.0) == (-Math::OnePi + 1.0));
CHECK(Math::negativePiToPi(+Math::OnePi - 0.1) == (+Math::OnePi - 0.1));
CHECK(Math::negativePiToPi(-Math::OnePi + 0.1) == (-Math::OnePi + 0.1));
CHECK(Math::equalsEpsilon(
Math::negativePiToPi(+Math::OnePi + 0.1),
-Math::OnePi + 0.1,
Math::Epsilon15));
CHECK(Math::negativePiToPi(+2.0 * Math::OnePi) == 0.0);
CHECK(Math::negativePiToPi(-2.0 * Math::OnePi) == 0.0);
CHECK(Math::negativePiToPi(+3.0 * Math::OnePi) == Math::OnePi);
CHECK(Math::negativePiToPi(-3.0 * Math::OnePi) == Math::OnePi);
CHECK(Math::negativePiToPi(+4.0 * Math::OnePi) == 0.0);
CHECK(Math::negativePiToPi(-4.0 * Math::OnePi) == 0.0);
CHECK(Math::negativePiToPi(+5.0 * Math::OnePi) == Math::OnePi);
CHECK(Math::negativePiToPi(-5.0 * Math::OnePi) == Math::OnePi);
CHECK(Math::negativePiToPi(+6.0 * Math::OnePi) == 0.0);
CHECK(Math::negativePiToPi(-6.0 * Math::OnePi) == 0.0);
}
TEST_CASE("Math::zeroToTwoPi") {
CHECK(Math::zeroToTwoPi(0.0) == 0.0);
CHECK(Math::zeroToTwoPi(+Math::OnePi) == +Math::OnePi);
CHECK(Math::zeroToTwoPi(-Math::OnePi) == +Math::OnePi);
CHECK(Math::zeroToTwoPi(+Math::OnePi - 1.0) == (+Math::OnePi - 1.0));
CHECK(Math::equalsEpsilon(
Math::zeroToTwoPi(-Math::OnePi + 1.0),
+Math::OnePi + 1.0,
Math::Epsilon15));
CHECK(Math::zeroToTwoPi(+Math::OnePi - 0.1) == (+Math::OnePi - 0.1));
CHECK(Math::equalsEpsilon(
Math::zeroToTwoPi(-Math::OnePi + 0.1),
+Math::OnePi + 0.1,
Math::Epsilon15));
CHECK(Math::zeroToTwoPi(+2.0 * Math::OnePi) == (2.0 * Math::OnePi));
CHECK(Math::zeroToTwoPi(-2.0 * Math::OnePi) == (2.0 * Math::OnePi));
CHECK(Math::zeroToTwoPi(+3.0 * Math::OnePi) == Math::OnePi);
CHECK(Math::zeroToTwoPi(-3.0 * Math::OnePi) == Math::OnePi);
CHECK(Math::zeroToTwoPi(+4.0 * Math::OnePi) == (2.0 * Math::OnePi));
CHECK(Math::zeroToTwoPi(-4.0 * Math::OnePi) == (2.0 * Math::OnePi));
CHECK(Math::zeroToTwoPi(+5.0 * Math::OnePi) == Math::OnePi);
CHECK(Math::zeroToTwoPi(-5.0 * Math::OnePi) == Math::OnePi);
CHECK(Math::zeroToTwoPi(+6.0 * Math::OnePi) == (2.0 * Math::OnePi));
CHECK(Math::zeroToTwoPi(-6.0 * Math::OnePi) == (2.0 * Math::OnePi));
}
TEST_CASE("Math::mod") {
CHECK(Math::mod(0.0, 1.0) == 0.0);
CHECK(Math::mod(0.1, 1.0) == 0.1);
CHECK(Math::mod(0.5, 1.0) == 0.5);
CHECK(Math::mod(1.0, 1.0) == 0.0);
CHECK(Math::equalsEpsilon(Math::mod(1.1, 1.0), 0.1, Math::Epsilon15));
CHECK(Math::mod(-0.0, 1.0) == 0.0);
CHECK(Math::mod(-0.1, 1.0) == 0.9);
CHECK(Math::mod(-0.5, 1.0) == 0.5);
CHECK(Math::mod(-1.0, 1.0) == 0.0);
CHECK(Math::equalsEpsilon(Math::mod(-1.1, 1.0), 0.9, Math::Epsilon15));
CHECK(Math::mod(0.0, -1.0) == -0.0);
CHECK(Math::mod(0.1, -1.0) == -0.9);
CHECK(Math::mod(0.5, -1.0) == -0.5);
CHECK(Math::mod(1.0, -1.0) == -0.0);
CHECK(Math::equalsEpsilon(Math::mod(1.1, -1.0), -0.9, Math::Epsilon15));
CHECK(Math::mod(-0.0, -1.0) == -0.0);
CHECK(Math::mod(-0.1, -1.0) == -0.1);
CHECK(Math::mod(-0.5, -1.0) == -0.5);
CHECK(Math::mod(-1.0, -1.0) == -0.0);
CHECK(Math::equalsEpsilon(Math::mod(-1.1, -1.0), -0.1, Math::Epsilon15));
}