diff options
Diffstat (limited to 'tests')
| -rw-r--r-- | tests/core/math/test_math_funcs.h | 659 |
1 files changed, 326 insertions, 333 deletions
diff --git a/tests/core/math/test_math_funcs.h b/tests/core/math/test_math_funcs.h index c468e73b74..c9d14bbd21 100644 --- a/tests/core/math/test_math_funcs.h +++ b/tests/core/math/test_math_funcs.h @@ -88,290 +88,280 @@ TEST_CASE("[Math] Power of two functions") { CHECK(nearest_shift(65535) == 16); } -TEST_CASE("[Math] abs") { - // int - CHECK(Math::abs(-1) == 1); - CHECK(Math::abs(0) == 0); - CHECK(Math::abs(1) == 1); - - // double - CHECK(Math::abs(-0.1) == 0.1); - CHECK(Math::abs(0.0) == 0.0); - CHECK(Math::abs(0.1) == 0.1); - - // float - CHECK(Math::abs(-0.1f) == 0.1f); - CHECK(Math::abs(0.0f) == 0.0f); - CHECK(Math::abs(0.1f) == 0.1f); -} - -TEST_CASE("[Math] round/floor/ceil") { - CHECK(Math::round(1.5) == 2.0); - CHECK(Math::round(1.6) == 2.0); - CHECK(Math::round(-1.5) == -2.0); - CHECK(Math::round(-1.1) == -1.0); - - CHECK(Math::floor(1.5) == 1.0); - CHECK(Math::floor(-1.5) == -2.0); - - CHECK(Math::ceil(1.5) == 2.0); - CHECK(Math::ceil(-1.9) == -1.0); -} - -TEST_CASE("[Math] sin/cos/tan") { - CHECK(Math::sin(-0.1) == doctest::Approx(-0.0998334166)); - CHECK(Math::sin(0.1) == doctest::Approx(0.0998334166)); - CHECK(Math::sin(0.5) == doctest::Approx(0.4794255386)); - CHECK(Math::sin(1.0) == doctest::Approx(0.8414709848)); - CHECK(Math::sin(1.5) == doctest::Approx(0.9974949866)); - CHECK(Math::sin(450.0) == doctest::Approx(-0.683283725)); - - CHECK(Math::cos(-0.1) == doctest::Approx(0.99500416530)); - CHECK(Math::cos(0.1) == doctest::Approx(0.9950041653)); - CHECK(Math::cos(0.5) == doctest::Approx(0.8775825619)); - CHECK(Math::cos(1.0) == doctest::Approx(0.5403023059)); - CHECK(Math::cos(1.5) == doctest::Approx(0.0707372017)); - CHECK(Math::cos(450.0) == doctest::Approx(-0.7301529642)); - - CHECK(Math::tan(-0.1) == doctest::Approx(-0.1003346721)); - CHECK(Math::tan(0.1) == doctest::Approx(0.1003346721)); - CHECK(Math::tan(0.5) == doctest::Approx(0.5463024898)); - CHECK(Math::tan(1.0) == doctest::Approx(1.5574077247)); - CHECK(Math::tan(1.5) == doctest::Approx(14.1014199472)); - CHECK(Math::tan(450.0) == doctest::Approx(0.9358090134)); -} - -TEST_CASE("[Math] sinh/cosh/tanh") { - CHECK(Math::sinh(-0.1) == doctest::Approx(-0.10016675)); - CHECK(Math::sinh(0.1) == doctest::Approx(0.10016675)); - CHECK(Math::sinh(0.5) == doctest::Approx(0.5210953055)); - CHECK(Math::sinh(1.0) == doctest::Approx(1.1752011936)); - CHECK(Math::sinh(1.5) == doctest::Approx(2.1292794551)); - - CHECK(Math::cosh(-0.1) == doctest::Approx(1.0050041681)); - CHECK(Math::cosh(0.1) == doctest::Approx(1.0050041681)); - CHECK(Math::cosh(0.5) == doctest::Approx(1.1276259652)); - CHECK(Math::cosh(1.0) == doctest::Approx(1.5430806348)); - CHECK(Math::cosh(1.5) == doctest::Approx(2.3524096152)); - - CHECK(Math::tanh(-0.1) == doctest::Approx(-0.0996679946)); - CHECK(Math::tanh(0.1) == doctest::Approx(0.0996679946)); - CHECK(Math::tanh(0.5) == doctest::Approx(0.4621171573)); - CHECK(Math::tanh(1.0) == doctest::Approx(0.761594156)); - CHECK(Math::tanh(1.5) == doctest::Approx(0.9051482536)); - CHECK(Math::tanh(450.0) == doctest::Approx(1.0)); -} - -TEST_CASE("[Math] asin/acos/atan") { - CHECK(Math::asin(-0.1) == doctest::Approx(-0.1001674212)); - CHECK(Math::asin(0.1) == doctest::Approx(0.1001674212)); - CHECK(Math::asin(0.5) == doctest::Approx(0.5235987756)); - CHECK(Math::asin(1.0) == doctest::Approx(1.5707963268)); - CHECK(Math::is_nan(Math::asin(1.5))); - CHECK(Math::is_nan(Math::asin(450.0))); - - CHECK(Math::acos(-0.1) == doctest::Approx(1.670963748)); - CHECK(Math::acos(0.1) == doctest::Approx(1.4706289056)); - CHECK(Math::acos(0.5) == doctest::Approx(1.0471975512)); - CHECK(Math::acos(1.0) == doctest::Approx(0.0)); - CHECK(Math::is_nan(Math::acos(1.5))); - CHECK(Math::is_nan(Math::acos(450.0))); - - CHECK(Math::atan(-0.1) == doctest::Approx(-0.0996686525)); - CHECK(Math::atan(0.1) == doctest::Approx(0.0996686525)); - CHECK(Math::atan(0.5) == doctest::Approx(0.463647609)); - CHECK(Math::atan(1.0) == doctest::Approx(0.7853981634)); - CHECK(Math::atan(1.5) == doctest::Approx(0.9827937232)); - CHECK(Math::atan(450.0) == doctest::Approx(1.5685741082)); -} - -TEST_CASE("[Math] sinc/sincn/atan2") { - CHECK(Math::sinc(-0.1) == doctest::Approx(0.9983341665)); - CHECK(Math::sinc(0.1) == doctest::Approx(0.9983341665)); - CHECK(Math::sinc(0.5) == doctest::Approx(0.9588510772)); - CHECK(Math::sinc(1.0) == doctest::Approx(0.8414709848)); - CHECK(Math::sinc(1.5) == doctest::Approx(0.6649966577)); - CHECK(Math::sinc(450.0) == doctest::Approx(-0.0015184083)); - - CHECK(Math::sincn(-0.1) == doctest::Approx(0.9836316431)); - CHECK(Math::sincn(0.1) == doctest::Approx(0.9836316431)); - CHECK(Math::sincn(0.5) == doctest::Approx(0.6366197724)); - CHECK(Math::sincn(1.0) == doctest::Approx(0.0)); - CHECK(Math::sincn(1.5) == doctest::Approx(-0.2122065908)); - CHECK(Math::sincn(450.0) == doctest::Approx(0.0)); - - CHECK(Math::atan2(-0.1, 0.5) == doctest::Approx(-0.1973955598)); - CHECK(Math::atan2(0.1, -0.5) == doctest::Approx(2.9441970937)); - CHECK(Math::atan2(0.5, 1.5) == doctest::Approx(0.3217505544)); - CHECK(Math::atan2(1.0, 2.5) == doctest::Approx(0.3805063771)); - CHECK(Math::atan2(1.5, 1.0) == doctest::Approx(0.9827937232)); - CHECK(Math::atan2(450.0, 1.0) == doctest::Approx(1.5685741082)); -} - -TEST_CASE("[Math] pow/log/log2/exp/sqrt") { - CHECK(Math::pow(-0.1, 2.0) == doctest::Approx(0.01)); - CHECK(Math::pow(0.1, 2.5) == doctest::Approx(0.0031622777)); - CHECK(Math::pow(0.5, 0.5) == doctest::Approx(0.7071067812)); - CHECK(Math::pow(1.0, 1.0) == doctest::Approx(1.0)); - CHECK(Math::pow(1.5, -1.0) == doctest::Approx(0.6666666667)); - CHECK(Math::pow(450.0, -2.0) == doctest::Approx(0.0000049383)); - CHECK(Math::pow(450.0, 0.0) == doctest::Approx(1.0)); - - CHECK(Math::is_nan(Math::log(-0.1))); - CHECK(Math::log(0.1) == doctest::Approx(-2.302585093)); - CHECK(Math::log(0.5) == doctest::Approx(-0.6931471806)); - CHECK(Math::log(1.0) == doctest::Approx(0.0)); - CHECK(Math::log(1.5) == doctest::Approx(0.4054651081)); - CHECK(Math::log(450.0) == doctest::Approx(6.1092475828)); - - CHECK(Math::is_nan(Math::log2(-0.1))); - CHECK(Math::log2(0.1) == doctest::Approx(-3.3219280949)); - CHECK(Math::log2(0.5) == doctest::Approx(-1.0)); - CHECK(Math::log2(1.0) == doctest::Approx(0.0)); - CHECK(Math::log2(1.5) == doctest::Approx(0.5849625007)); - CHECK(Math::log2(450.0) == doctest::Approx(8.8137811912)); - - CHECK(Math::exp(-0.1) == doctest::Approx(0.904837418)); - CHECK(Math::exp(0.1) == doctest::Approx(1.1051709181)); - CHECK(Math::exp(0.5) == doctest::Approx(1.6487212707)); - CHECK(Math::exp(1.0) == doctest::Approx(2.7182818285)); - CHECK(Math::exp(1.5) == doctest::Approx(4.4816890703)); - - CHECK(Math::is_nan(Math::sqrt(-0.1))); - CHECK(Math::sqrt(0.1) == doctest::Approx(0.316228)); - CHECK(Math::sqrt(0.5) == doctest::Approx(0.707107)); - CHECK(Math::sqrt(1.0) == doctest::Approx(1.0)); - CHECK(Math::sqrt(1.5) == doctest::Approx(1.224745)); -} - -TEST_CASE("[Math] is_nan/is_inf") { - CHECK(!Math::is_nan(0.0)); - CHECK(Math::is_nan(NAN)); - - CHECK(!Math::is_inf(0.0)); - CHECK(Math::is_inf(INFINITY)); -} - -TEST_CASE("[Math] linear_to_db") { - CHECK(Math::linear_to_db(1.0) == doctest::Approx(0.0)); - CHECK(Math::linear_to_db(20.0) == doctest::Approx(26.0206)); - CHECK(Math::is_inf(Math::linear_to_db(0.0))); - CHECK(Math::is_nan(Math::linear_to_db(-20.0))); -} - -TEST_CASE("[Math] db_to_linear") { - CHECK(Math::db_to_linear(0.0) == doctest::Approx(1.0)); - CHECK(Math::db_to_linear(1.0) == doctest::Approx(1.122018)); - CHECK(Math::db_to_linear(20.0) == doctest::Approx(10.0)); - CHECK(Math::db_to_linear(-20.0) == doctest::Approx(0.1)); -} - -TEST_CASE("[Math] step_decimals") { - CHECK(Math::step_decimals(-0.5) == 1); - CHECK(Math::step_decimals(0) == 0); - CHECK(Math::step_decimals(1) == 0); - CHECK(Math::step_decimals(0.1) == 1); - CHECK(Math::step_decimals(0.01) == 2); - CHECK(Math::step_decimals(0.001) == 3); - CHECK(Math::step_decimals(0.0001) == 4); - CHECK(Math::step_decimals(0.00001) == 5); - CHECK(Math::step_decimals(0.000001) == 6); - CHECK(Math::step_decimals(0.0000001) == 7); - CHECK(Math::step_decimals(0.00000001) == 8); - CHECK(Math::step_decimals(0.000000001) == 9); +TEST_CASE_TEMPLATE("[Math] abs", T, int, float, double) { + CHECK(Math::abs((T)-1) == (T)1); + CHECK(Math::abs((T)0) == (T)0); + CHECK(Math::abs((T)1) == (T)1); + CHECK(Math::abs((T)0.1) == (T)0.1); +} + +TEST_CASE_TEMPLATE("[Math] round/floor/ceil", T, float, double) { + CHECK(Math::round((T)1.5) == (T)2.0); + CHECK(Math::round((T)1.6) == (T)2.0); + CHECK(Math::round((T)-1.5) == (T)-2.0); + CHECK(Math::round((T)-1.1) == (T)-1.0); + + CHECK(Math::floor((T)1.5) == (T)1.0); + CHECK(Math::floor((T)-1.5) == (T)-2.0); + + CHECK(Math::ceil((T)1.5) == (T)2.0); + CHECK(Math::ceil((T)-1.9) == (T)-1.0); +} + +TEST_CASE_TEMPLATE("[Math] sin/cos/tan", T, float, double) { + CHECK(Math::sin((T)-0.1) == doctest::Approx((T)-0.0998334166)); + CHECK(Math::sin((T)0.1) == doctest::Approx((T)0.0998334166)); + CHECK(Math::sin((T)0.5) == doctest::Approx((T)0.4794255386)); + CHECK(Math::sin((T)1.0) == doctest::Approx((T)0.8414709848)); + CHECK(Math::sin((T)1.5) == doctest::Approx((T)0.9974949866)); + CHECK(Math::sin((T)450.0) == doctest::Approx((T)-0.683283725)); + + CHECK(Math::cos((T)-0.1) == doctest::Approx((T)0.99500416530)); + CHECK(Math::cos((T)0.1) == doctest::Approx((T)0.9950041653)); + CHECK(Math::cos((T)0.5) == doctest::Approx((T)0.8775825619)); + CHECK(Math::cos((T)1.0) == doctest::Approx((T)0.5403023059)); + CHECK(Math::cos((T)1.5) == doctest::Approx((T)0.0707372017)); + CHECK(Math::cos((T)450.0) == doctest::Approx((T)-0.7301529642)); + + CHECK(Math::tan((T)-0.1) == doctest::Approx((T)-0.1003346721)); + CHECK(Math::tan((T)0.1) == doctest::Approx((T)0.1003346721)); + CHECK(Math::tan((T)0.5) == doctest::Approx((T)0.5463024898)); + CHECK(Math::tan((T)1.0) == doctest::Approx((T)1.5574077247)); + CHECK(Math::tan((T)1.5) == doctest::Approx((T)14.1014199472)); + CHECK(Math::tan((T)450.0) == doctest::Approx((T)0.9358090134)); +} + +TEST_CASE_TEMPLATE("[Math] sinh/cosh/tanh", T, float, double) { + CHECK(Math::sinh((T)-0.1) == doctest::Approx((T)-0.10016675)); + CHECK(Math::sinh((T)0.1) == doctest::Approx((T)0.10016675)); + CHECK(Math::sinh((T)0.5) == doctest::Approx((T)0.5210953055)); + CHECK(Math::sinh((T)1.0) == doctest::Approx((T)1.1752011936)); + CHECK(Math::sinh((T)1.5) == doctest::Approx((T)2.1292794551)); + + CHECK(Math::cosh((T)-0.1) == doctest::Approx((T)1.0050041681)); + CHECK(Math::cosh((T)0.1) == doctest::Approx((T)1.0050041681)); + CHECK(Math::cosh((T)0.5) == doctest::Approx((T)1.1276259652)); + CHECK(Math::cosh((T)1.0) == doctest::Approx((T)1.5430806348)); + CHECK(Math::cosh((T)1.5) == doctest::Approx((T)2.3524096152)); + + CHECK(Math::tanh((T)-0.1) == doctest::Approx((T)-0.0996679946)); + CHECK(Math::tanh((T)0.1) == doctest::Approx((T)0.0996679946)); + CHECK(Math::tanh((T)0.5) == doctest::Approx((T)0.4621171573)); + CHECK(Math::tanh((T)1.0) == doctest::Approx((T)0.761594156)); + CHECK(Math::tanh((T)1.5) == doctest::Approx((T)0.9051482536)); + CHECK(Math::tanh((T)450.0) == doctest::Approx((T)1.0)); +} + +TEST_CASE_TEMPLATE("[Math] asin/acos/atan", T, float, double) { + CHECK(Math::asin((T)-0.1) == doctest::Approx((T)-0.1001674212)); + CHECK(Math::asin((T)0.1) == doctest::Approx((T)0.1001674212)); + CHECK(Math::asin((T)0.5) == doctest::Approx((T)0.5235987756)); + CHECK(Math::asin((T)1.0) == doctest::Approx((T)1.5707963268)); + CHECK(Math::is_nan(Math::asin((T)1.5))); + CHECK(Math::is_nan(Math::asin((T)450.0))); + + CHECK(Math::acos((T)-0.1) == doctest::Approx((T)1.670963748)); + CHECK(Math::acos((T)0.1) == doctest::Approx((T)1.4706289056)); + CHECK(Math::acos((T)0.5) == doctest::Approx((T)1.0471975512)); + CHECK(Math::acos((T)1.0) == doctest::Approx((T)0.0)); + CHECK(Math::is_nan(Math::acos((T)1.5))); + CHECK(Math::is_nan(Math::acos((T)450.0))); + + CHECK(Math::atan((T)-0.1) == doctest::Approx((T)-0.0996686525)); + CHECK(Math::atan((T)0.1) == doctest::Approx((T)0.0996686525)); + CHECK(Math::atan((T)0.5) == doctest::Approx((T)0.463647609)); + CHECK(Math::atan((T)1.0) == doctest::Approx((T)0.7853981634)); + CHECK(Math::atan((T)1.5) == doctest::Approx((T)0.9827937232)); + CHECK(Math::atan((T)450.0) == doctest::Approx((T)1.5685741082)); +} + +TEST_CASE_TEMPLATE("[Math] sinc/sincn/atan2", T, float, double) { + CHECK(Math::sinc((T)-0.1) == doctest::Approx((T)0.9983341665)); + CHECK(Math::sinc((T)0.1) == doctest::Approx((T)0.9983341665)); + CHECK(Math::sinc((T)0.5) == doctest::Approx((T)0.9588510772)); + CHECK(Math::sinc((T)1.0) == doctest::Approx((T)0.8414709848)); + CHECK(Math::sinc((T)1.5) == doctest::Approx((T)0.6649966577)); + CHECK(Math::sinc((T)450.0) == doctest::Approx((T)-0.0015184083)); + + CHECK(Math::sincn((T)-0.1) == doctest::Approx((T)0.9836316431)); + CHECK(Math::sincn((T)0.1) == doctest::Approx((T)0.9836316431)); + CHECK(Math::sincn((T)0.5) == doctest::Approx((T)0.6366197724)); + CHECK(Math::sincn((T)1.0) == doctest::Approx((T)0.0)); + CHECK(Math::sincn((T)1.5) == doctest::Approx((T)-0.2122065908)); + CHECK(Math::sincn((T)450.0) == doctest::Approx((T)0.0)); + + CHECK(Math::atan2((T)-0.1, (T)0.5) == doctest::Approx((T)-0.1973955598)); + CHECK(Math::atan2((T)0.1, (T)-0.5) == doctest::Approx((T)2.9441970937)); + CHECK(Math::atan2((T)0.5, (T)1.5) == doctest::Approx((T)0.3217505544)); + CHECK(Math::atan2((T)1.0, (T)2.5) == doctest::Approx((T)0.3805063771)); + CHECK(Math::atan2((T)1.5, (T)1.0) == doctest::Approx((T)0.9827937232)); + CHECK(Math::atan2((T)450.0, (T)1.0) == doctest::Approx((T)1.5685741082)); +} + +TEST_CASE_TEMPLATE("[Math] pow/log/log2/exp/sqrt", T, float, double) { + CHECK(Math::pow((T)-0.1, (T)2.0) == doctest::Approx((T)0.01)); + CHECK(Math::pow((T)0.1, (T)2.5) == doctest::Approx((T)0.0031622777)); + CHECK(Math::pow((T)0.5, (T)0.5) == doctest::Approx((T)0.7071067812)); + CHECK(Math::pow((T)1.0, (T)1.0) == doctest::Approx((T)1.0)); + CHECK(Math::pow((T)1.5, (T)-1.0) == doctest::Approx((T)0.6666666667)); + CHECK(Math::pow((T)450.0, (T)-2.0) == doctest::Approx((T)0.0000049383)); + CHECK(Math::pow((T)450.0, (T)0.0) == doctest::Approx((T)1.0)); + + CHECK(Math::is_nan(Math::log((T)-0.1))); + CHECK(Math::log((T)0.1) == doctest::Approx((T)-2.302585093)); + CHECK(Math::log((T)0.5) == doctest::Approx((T)-0.6931471806)); + CHECK(Math::log((T)1.0) == doctest::Approx((T)0.0)); + CHECK(Math::log((T)1.5) == doctest::Approx((T)0.4054651081)); + CHECK(Math::log((T)450.0) == doctest::Approx((T)6.1092475828)); + + CHECK(Math::is_nan(Math::log2((T)-0.1))); + CHECK(Math::log2((T)0.1) == doctest::Approx((T)-3.3219280949)); + CHECK(Math::log2((T)0.5) == doctest::Approx((T)-1.0)); + CHECK(Math::log2((T)1.0) == doctest::Approx((T)0.0)); + CHECK(Math::log2((T)1.5) == doctest::Approx((T)0.5849625007)); + CHECK(Math::log2((T)450.0) == doctest::Approx((T)8.8137811912)); + + CHECK(Math::exp((T)-0.1) == doctest::Approx((T)0.904837418)); + CHECK(Math::exp((T)0.1) == doctest::Approx((T)1.1051709181)); + CHECK(Math::exp((T)0.5) == doctest::Approx((T)1.6487212707)); + CHECK(Math::exp((T)1.0) == doctest::Approx((T)2.7182818285)); + CHECK(Math::exp((T)1.5) == doctest::Approx((T)4.4816890703)); + + CHECK(Math::is_nan(Math::sqrt((T)-0.1))); + CHECK(Math::sqrt((T)0.1) == doctest::Approx((T)0.316228)); + CHECK(Math::sqrt((T)0.5) == doctest::Approx((T)0.707107)); + CHECK(Math::sqrt((T)1.0) == doctest::Approx((T)1.0)); + CHECK(Math::sqrt((T)1.5) == doctest::Approx((T)1.224745)); +} + +TEST_CASE_TEMPLATE("[Math] is_nan/is_inf", T, float, double) { + CHECK(!Math::is_nan((T)0.0)); + CHECK(Math::is_nan((T)NAN)); + + CHECK(!Math::is_inf((T)0.0)); + CHECK(Math::is_inf((T)INFINITY)); +} + +TEST_CASE_TEMPLATE("[Math] linear_to_db", T, float, double) { + CHECK(Math::linear_to_db((T)1.0) == doctest::Approx((T)0.0)); + CHECK(Math::linear_to_db((T)20.0) == doctest::Approx((T)26.0206)); + CHECK(Math::is_inf(Math::linear_to_db((T)0.0))); + CHECK(Math::is_nan(Math::linear_to_db((T)-20.0))); +} + +TEST_CASE_TEMPLATE("[Math] db_to_linear", T, float, double) { + CHECK(Math::db_to_linear((T)0.0) == doctest::Approx((T)1.0)); + CHECK(Math::db_to_linear((T)1.0) == doctest::Approx((T)1.122018)); + CHECK(Math::db_to_linear((T)20.0) == doctest::Approx((T)10.0)); + CHECK(Math::db_to_linear((T)-20.0) == doctest::Approx((T)0.1)); +} + +TEST_CASE_TEMPLATE("[Math] step_decimals", T, float, double) { + CHECK(Math::step_decimals((T)-0.5) == 1); + CHECK(Math::step_decimals((T)0) == 0); + CHECK(Math::step_decimals((T)1) == 0); + CHECK(Math::step_decimals((T)0.1) == 1); + CHECK(Math::step_decimals((T)0.01) == 2); + CHECK(Math::step_decimals((T)0.001) == 3); + CHECK(Math::step_decimals((T)0.0001) == 4); + CHECK(Math::step_decimals((T)0.00001) == 5); + CHECK(Math::step_decimals((T)0.000001) == 6); + CHECK(Math::step_decimals((T)0.0000001) == 7); + CHECK(Math::step_decimals((T)0.00000001) == 8); + CHECK(Math::step_decimals((T)0.000000001) == 9); // Too many decimals to handle. - CHECK(Math::step_decimals(0.0000000001) == 0); + CHECK(Math::step_decimals((T)0.0000000001) == 0); } -TEST_CASE("[Math] range_step_decimals") { - CHECK(Math::range_step_decimals(0.000000001) == 9); +TEST_CASE_TEMPLATE("[Math] range_step_decimals", T, float, double) { + CHECK(Math::range_step_decimals((T)0.000000001) == 9); // Too many decimals to handle. - CHECK(Math::range_step_decimals(0.0000000001) == 0); + CHECK(Math::range_step_decimals((T)0.0000000001) == 0); // Should be treated as a step of 0 for use by the editor. - CHECK(Math::range_step_decimals(0.0) == 16); - CHECK(Math::range_step_decimals(-0.5) == 16); + CHECK(Math::range_step_decimals((T)0.0) == 16); + CHECK(Math::range_step_decimals((T)-0.5) == 16); } -TEST_CASE("[Math] lerp") { - CHECK(Math::lerp(2.0, 5.0, -0.1) == doctest::Approx(1.7)); - CHECK(Math::lerp(2.0, 5.0, 0.0) == doctest::Approx(2.0)); - CHECK(Math::lerp(2.0, 5.0, 0.1) == doctest::Approx(2.3)); - CHECK(Math::lerp(2.0, 5.0, 1.0) == doctest::Approx(5.0)); - CHECK(Math::lerp(2.0, 5.0, 2.0) == doctest::Approx(8.0)); +TEST_CASE_TEMPLATE("[Math] lerp", T, float, double) { + CHECK(Math::lerp((T)2.0, (T)5.0, (T)-0.1) == doctest::Approx((T)1.7)); + CHECK(Math::lerp((T)2.0, (T)5.0, (T)0.0) == doctest::Approx((T)2.0)); + CHECK(Math::lerp((T)2.0, (T)5.0, (T)0.1) == doctest::Approx((T)2.3)); + CHECK(Math::lerp((T)2.0, (T)5.0, (T)1.0) == doctest::Approx((T)5.0)); + CHECK(Math::lerp((T)2.0, (T)5.0, (T)2.0) == doctest::Approx((T)8.0)); - CHECK(Math::lerp(-2.0, -5.0, -0.1) == doctest::Approx(-1.7)); - CHECK(Math::lerp(-2.0, -5.0, 0.0) == doctest::Approx(-2.0)); - CHECK(Math::lerp(-2.0, -5.0, 0.1) == doctest::Approx(-2.3)); - CHECK(Math::lerp(-2.0, -5.0, 1.0) == doctest::Approx(-5.0)); - CHECK(Math::lerp(-2.0, -5.0, 2.0) == doctest::Approx(-8.0)); + CHECK(Math::lerp((T)-2.0, (T)-5.0, (T)-0.1) == doctest::Approx((T)-1.7)); + CHECK(Math::lerp((T)-2.0, (T)-5.0, (T)0.0) == doctest::Approx((T)-2.0)); + CHECK(Math::lerp((T)-2.0, (T)-5.0, (T)0.1) == doctest::Approx((T)-2.3)); + CHECK(Math::lerp((T)-2.0, (T)-5.0, (T)1.0) == doctest::Approx((T)-5.0)); + CHECK(Math::lerp((T)-2.0, (T)-5.0, (T)2.0) == doctest::Approx((T)-8.0)); } -TEST_CASE("[Math] inverse_lerp") { - CHECK(Math::inverse_lerp(2.0, 5.0, 1.7) == doctest::Approx(-0.1)); - CHECK(Math::inverse_lerp(2.0, 5.0, 2.0) == doctest::Approx(0.0)); - CHECK(Math::inverse_lerp(2.0, 5.0, 2.3) == doctest::Approx(0.1)); - CHECK(Math::inverse_lerp(2.0, 5.0, 5.0) == doctest::Approx(1.0)); - CHECK(Math::inverse_lerp(2.0, 5.0, 8.0) == doctest::Approx(2.0)); +TEST_CASE_TEMPLATE("[Math] inverse_lerp", T, float, double) { + CHECK(Math::inverse_lerp((T)2.0, (T)5.0, (T)1.7) == doctest::Approx((T)-0.1)); + CHECK(Math::inverse_lerp((T)2.0, (T)5.0, (T)2.0) == doctest::Approx((T)0.0)); + CHECK(Math::inverse_lerp((T)2.0, (T)5.0, (T)2.3) == doctest::Approx((T)0.1)); + CHECK(Math::inverse_lerp((T)2.0, (T)5.0, (T)5.0) == doctest::Approx((T)1.0)); + CHECK(Math::inverse_lerp((T)2.0, (T)5.0, (T)8.0) == doctest::Approx((T)2.0)); - CHECK(Math::inverse_lerp(-2.0, -5.0, -1.7) == doctest::Approx(-0.1)); - CHECK(Math::inverse_lerp(-2.0, -5.0, -2.0) == doctest::Approx(0.0)); - CHECK(Math::inverse_lerp(-2.0, -5.0, -2.3) == doctest::Approx(0.1)); - CHECK(Math::inverse_lerp(-2.0, -5.0, -5.0) == doctest::Approx(1.0)); - CHECK(Math::inverse_lerp(-2.0, -5.0, -8.0) == doctest::Approx(2.0)); + CHECK(Math::inverse_lerp((T)-2.0, (T)-5.0, (T)-1.7) == doctest::Approx((T)-0.1)); + CHECK(Math::inverse_lerp((T)-2.0, (T)-5.0, (T)-2.0) == doctest::Approx((T)0.0)); + CHECK(Math::inverse_lerp((T)-2.0, (T)-5.0, (T)-2.3) == doctest::Approx((T)0.1)); + CHECK(Math::inverse_lerp((T)-2.0, (T)-5.0, (T)-5.0) == doctest::Approx((T)1.0)); + CHECK(Math::inverse_lerp((T)-2.0, (T)-5.0, (T)-8.0) == doctest::Approx((T)2.0)); } -TEST_CASE("[Math] remap") { - CHECK(Math::remap(50.0, 100.0, 200.0, 0.0, 1000.0) == doctest::Approx(-500.0)); - CHECK(Math::remap(100.0, 100.0, 200.0, 0.0, 1000.0) == doctest::Approx(0.0)); - CHECK(Math::remap(200.0, 100.0, 200.0, 0.0, 1000.0) == doctest::Approx(1000.0)); - CHECK(Math::remap(250.0, 100.0, 200.0, 0.0, 1000.0) == doctest::Approx(1500.0)); +TEST_CASE_TEMPLATE("[Math] remap", T, float, double) { + CHECK(Math::remap((T)50.0, (T)100.0, (T)200.0, (T)0.0, (T)1000.0) == doctest::Approx((T)-500.0)); + CHECK(Math::remap((T)100.0, (T)100.0, (T)200.0, (T)0.0, (T)1000.0) == doctest::Approx((T)0.0)); + CHECK(Math::remap((T)200.0, (T)100.0, (T)200.0, (T)0.0, (T)1000.0) == doctest::Approx((T)1000.0)); + CHECK(Math::remap((T)250.0, (T)100.0, (T)200.0, (T)0.0, (T)1000.0) == doctest::Approx((T)1500.0)); - CHECK(Math::remap(-50.0, -100.0, -200.0, 0.0, 1000.0) == doctest::Approx(-500.0)); - CHECK(Math::remap(-100.0, -100.0, -200.0, 0.0, 1000.0) == doctest::Approx(0.0)); - CHECK(Math::remap(-200.0, -100.0, -200.0, 0.0, 1000.0) == doctest::Approx(1000.0)); - CHECK(Math::remap(-250.0, -100.0, -200.0, 0.0, 1000.0) == doctest::Approx(1500.0)); + CHECK(Math::remap((T)-50.0, (T)-100.0, (T)-200.0, (T)0.0, (T)1000.0) == doctest::Approx((T)-500.0)); + CHECK(Math::remap((T)-100.0, (T)-100.0, (T)-200.0, (T)0.0, (T)1000.0) == doctest::Approx((T)0.0)); + CHECK(Math::remap((T)-200.0, (T)-100.0, (T)-200.0, (T)0.0, (T)1000.0) == doctest::Approx((T)1000.0)); + CHECK(Math::remap((T)-250.0, (T)-100.0, (T)-200.0, (T)0.0, (T)1000.0) == doctest::Approx((T)1500.0)); - CHECK(Math::remap(-50.0, -100.0, -200.0, 0.0, -1000.0) == doctest::Approx(500.0)); - CHECK(Math::remap(-100.0, -100.0, -200.0, 0.0, -1000.0) == doctest::Approx(0.0)); - CHECK(Math::remap(-200.0, -100.0, -200.0, 0.0, -1000.0) == doctest::Approx(-1000.0)); - CHECK(Math::remap(-250.0, -100.0, -200.0, 0.0, -1000.0) == doctest::Approx(-1500.0)); + CHECK(Math::remap((T)-50.0, (T)-100.0, (T)-200.0, (T)0.0, (T)-1000.0) == doctest::Approx((T)500.0)); + CHECK(Math::remap((T)-100.0, (T)-100.0, (T)-200.0, (T)0.0, (T)-1000.0) == doctest::Approx((T)0.0)); + CHECK(Math::remap((T)-200.0, (T)-100.0, (T)-200.0, (T)0.0, (T)-1000.0) == doctest::Approx((T)-1000.0)); + CHECK(Math::remap((T)-250.0, (T)-100.0, (T)-200.0, (T)0.0, (T)-1000.0) == doctest::Approx((T)-1500.0)); } -TEST_CASE("[Math] lerp_angle") { +TEST_CASE_TEMPLATE("[Math] lerp_angle", T, float, double) { // Counter-clockwise rotation. - CHECK(Math::lerp_angle(0.24 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx(-0.005 * Math_TAU)); + CHECK(Math::lerp_angle((T)0.24 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx((T)-0.005 * Math_TAU)); // Counter-clockwise rotation. - CHECK(Math::lerp_angle(0.25 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx(0.0)); + CHECK(Math::lerp_angle((T)0.25 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx((T)0.0)); // Clockwise rotation. - CHECK(Math::lerp_angle(0.26 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx(0.505 * Math_TAU)); + CHECK(Math::lerp_angle((T)0.26 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx((T)0.505 * Math_TAU)); - CHECK(Math::lerp_angle(-0.25 * Math_TAU, 1.25 * Math_TAU, 0.5) == doctest::Approx(-0.5 * Math_TAU)); - CHECK(Math::lerp_angle(0.72 * Math_TAU, 1.44 * Math_TAU, 0.96) == doctest::Approx(0.4512 * Math_TAU)); - CHECK(Math::lerp_angle(0.72 * Math_TAU, 1.44 * Math_TAU, 1.04) == doctest::Approx(0.4288 * Math_TAU)); + CHECK(Math::lerp_angle((T)-0.25 * Math_TAU, 1.25 * Math_TAU, 0.5) == doctest::Approx((T)-0.5 * Math_TAU)); + CHECK(Math::lerp_angle((T)0.72 * Math_TAU, 1.44 * Math_TAU, 0.96) == doctest::Approx((T)0.4512 * Math_TAU)); + CHECK(Math::lerp_angle((T)0.72 * Math_TAU, 1.44 * Math_TAU, 1.04) == doctest::Approx((T)0.4288 * Math_TAU)); // Initial and final angles are effectively identical, so the value returned // should always be the same regardless of the `weight` parameter. - CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, -1.0) == doctest::Approx(-4.0 * Math_TAU)); - CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, 0.0) == doctest::Approx(-4.0 * Math_TAU)); - CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, 0.5) == doctest::Approx(-4.0 * Math_TAU)); - CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, 1.0) == doctest::Approx(-4.0 * Math_TAU)); - CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, 500.0) == doctest::Approx(-4.0 * Math_TAU)); + CHECK(Math::lerp_angle((T)-4 * Math_TAU, 4 * Math_TAU, -1.0) == doctest::Approx((T)-4.0 * Math_TAU)); + CHECK(Math::lerp_angle((T)-4 * Math_TAU, 4 * Math_TAU, 0.0) == doctest::Approx((T)-4.0 * Math_TAU)); + CHECK(Math::lerp_angle((T)-4 * Math_TAU, 4 * Math_TAU, 0.5) == doctest::Approx((T)-4.0 * Math_TAU)); + CHECK(Math::lerp_angle((T)-4 * Math_TAU, 4 * Math_TAU, 1.0) == doctest::Approx((T)-4.0 * Math_TAU)); + CHECK(Math::lerp_angle((T)-4 * Math_TAU, 4 * Math_TAU, 500.0) == doctest::Approx((T)-4.0 * Math_TAU)); } -TEST_CASE("[Math] move_toward") { - CHECK(Math::move_toward(2.0, 5.0, -1.0) == doctest::Approx(1.0)); - CHECK(Math::move_toward(2.0, 5.0, 2.5) == doctest::Approx(4.5)); - CHECK(Math::move_toward(2.0, 5.0, 4.0) == doctest::Approx(5.0)); - CHECK(Math::move_toward(-2.0, -5.0, -1.0) == doctest::Approx(-1.0)); - CHECK(Math::move_toward(-2.0, -5.0, 2.5) == doctest::Approx(-4.5)); - CHECK(Math::move_toward(-2.0, -5.0, 4.0) == doctest::Approx(-5.0)); +TEST_CASE_TEMPLATE("[Math] move_toward", T, float, double) { + CHECK(Math::move_toward(2.0, 5.0, -1.0) == doctest::Approx((T)1.0)); + CHECK(Math::move_toward(2.0, 5.0, 2.5) == doctest::Approx((T)4.5)); + CHECK(Math::move_toward(2.0, 5.0, 4.0) == doctest::Approx((T)5.0)); + CHECK(Math::move_toward(-2.0, -5.0, -1.0) == doctest::Approx((T)-1.0)); + CHECK(Math::move_toward(-2.0, -5.0, 2.5) == doctest::Approx((T)-4.5)); + CHECK(Math::move_toward(-2.0, -5.0, 4.0) == doctest::Approx((T)-5.0)); } -TEST_CASE("[Math] smoothstep") { - CHECK(Math::smoothstep(0.0, 2.0, -5.0) == doctest::Approx(0.0)); - CHECK(Math::smoothstep(0.0, 2.0, 0.5) == doctest::Approx(0.15625)); - CHECK(Math::smoothstep(0.0, 2.0, 1.0) == doctest::Approx(0.5)); - CHECK(Math::smoothstep(0.0, 2.0, 2.0) == doctest::Approx(1.0)); +TEST_CASE_TEMPLATE("[Math] smoothstep", T, float, double) { + CHECK(Math::smoothstep((T)0.0, (T)2.0, (T)-5.0) == doctest::Approx((T)0.0)); + CHECK(Math::smoothstep((T)0.0, (T)2.0, (T)0.5) == doctest::Approx((T)0.15625)); + CHECK(Math::smoothstep((T)0.0, (T)2.0, (T)1.0) == doctest::Approx((T)0.5)); + CHECK(Math::smoothstep((T)0.0, (T)2.0, (T)2.0) == doctest::Approx((T)1.0)); } TEST_CASE("[Math] ease") { @@ -429,34 +419,34 @@ TEST_CASE("[Math] larger_prime") { ERR_PRINT_ON; } -TEST_CASE("[Math] fmod") { - CHECK(Math::fmod(-2.0, 0.3) == doctest::Approx(-0.2)); - CHECK(Math::fmod(0.0, 0.3) == doctest::Approx(0.0)); - CHECK(Math::fmod(2.0, 0.3) == doctest::Approx(0.2)); +TEST_CASE_TEMPLATE("[Math] fmod", T, float, double) { + CHECK(Math::fmod((T)-2.0, (T)0.3) == doctest::Approx((T)-0.2)); + CHECK(Math::fmod((T)0.0, (T)0.3) == doctest::Approx((T)0.0)); + CHECK(Math::fmod((T)2.0, (T)0.3) == doctest::Approx((T)0.2)); - CHECK(Math::fmod(-2.0, -0.3) == doctest::Approx(-0.2)); - CHECK(Math::fmod(0.0, -0.3) == doctest::Approx(0.0)); - CHECK(Math::fmod(2.0, -0.3) == doctest::Approx(0.2)); + CHECK(Math::fmod((T)-2.0, (T)-0.3) == doctest::Approx((T)-0.2)); + CHECK(Math::fmod((T)0.0, (T)-0.3) == doctest::Approx((T)0.0)); + CHECK(Math::fmod((T)2.0, (T)-0.3) == doctest::Approx((T)0.2)); } -TEST_CASE("[Math] fposmod") { - CHECK(Math::fposmod(-2.0, 0.3) == doctest::Approx(0.1)); - CHECK(Math::fposmod(0.0, 0.3) == doctest::Approx(0.0)); - CHECK(Math::fposmod(2.0, 0.3) == doctest::Approx(0.2)); +TEST_CASE_TEMPLATE("[Math] fposmod", T, float, double) { + CHECK(Math::fposmod((T)-2.0, (T)0.3) == doctest::Approx((T)0.1)); + CHECK(Math::fposmod((T)0.0, (T)0.3) == doctest::Approx((T)0.0)); + CHECK(Math::fposmod((T)2.0, (T)0.3) == doctest::Approx((T)0.2)); - CHECK(Math::fposmod(-2.0, -0.3) == doctest::Approx(-0.2)); - CHECK(Math::fposmod(0.0, -0.3) == doctest::Approx(0.0)); - CHECK(Math::fposmod(2.0, -0.3) == doctest::Approx(-0.1)); + CHECK(Math::fposmod((T)-2.0, (T)-0.3) == doctest::Approx((T)-0.2)); + CHECK(Math::fposmod((T)0.0, (T)-0.3) == doctest::Approx((T)0.0)); + CHECK(Math::fposmod((T)2.0, (T)-0.3) == doctest::Approx((T)-0.1)); } -TEST_CASE("[Math] fposmodp") { - CHECK(Math::fposmodp(-2.0, 0.3) == doctest::Approx(0.1)); - CHECK(Math::fposmodp(0.0, 0.3) == doctest::Approx(0.0)); - CHECK(Math::fposmodp(2.0, 0.3) == doctest::Approx(0.2)); +TEST_CASE_TEMPLATE("[Math] fposmodp", T, float, double) { + CHECK(Math::fposmodp((T)-2.0, (T)0.3) == doctest::Approx((T)0.1)); + CHECK(Math::fposmodp((T)0.0, (T)0.3) == doctest::Approx((T)0.0)); + CHECK(Math::fposmodp((T)2.0, (T)0.3) == doctest::Approx((T)0.2)); - CHECK(Math::fposmodp(-2.0, -0.3) == doctest::Approx(-0.5)); - CHECK(Math::fposmodp(0.0, -0.3) == doctest::Approx(0.0)); - CHECK(Math::fposmodp(2.0, -0.3) == doctest::Approx(0.2)); + CHECK(Math::fposmodp((T)-2.0, (T)-0.3) == doctest::Approx((T)-0.5)); + CHECK(Math::fposmodp((T)0.0, (T)-0.3) == doctest::Approx((T)0.0)); + CHECK(Math::fposmodp((T)2.0, (T)-0.3) == doctest::Approx((T)0.2)); } TEST_CASE("[Math] posmod") { @@ -475,80 +465,83 @@ TEST_CASE("[Math] wrapi") { CHECK(Math::wrapi(300'000'000'000, -20, 160) == 120); } -TEST_CASE("[Math] wrapf") { - CHECK(Math::wrapf(-30.0, -20.0, 160.0) == doctest::Approx(150.0)); - CHECK(Math::wrapf(30.0, -2.0, 160.0) == doctest::Approx(30.0)); - CHECK(Math::wrapf(300.0, -20.0, 160.0) == doctest::Approx(120.0)); - CHECK(Math::wrapf(300'000'000'000.0, -20.0, 160.0) == doctest::Approx(120.0)); +TEST_CASE_TEMPLATE("[Math] wrapf", T, float, double) { + CHECK(Math::wrapf((T)-30.0, (T)-20.0, (T)160.0) == doctest::Approx((T)150.0)); + CHECK(Math::wrapf((T)30.0, (T)-2.0, (T)160.0) == doctest::Approx((T)30.0)); + CHECK(Math::wrapf((T)300.0, (T)-20.0, (T)160.0) == doctest::Approx((T)120.0)); + + CHECK(Math::wrapf(300'000'000'000.0, -20.0, 160.0) == doctest::Approx((T)120.0)); + // float's precision is too low for 300'000'000'000.0, so we reduce it by a factor of 1000. + CHECK(Math::wrapf((float)300'000'000.0, (float)-20.0, (float)160.0) == doctest::Approx((T)128.0)); } -TEST_CASE("[Math] fract") { - CHECK(Math::fract(1.0) == doctest::Approx(0.0)); - CHECK(Math::fract(77.8) == doctest::Approx(0.8)); - CHECK(Math::fract(-10.1) == doctest::Approx(0.9)); +TEST_CASE_TEMPLATE("[Math] fract", T, float, double) { + CHECK(Math::fract((T)1.0) == doctest::Approx((T)0.0)); + CHECK(Math::fract((T)77.8) == doctest::Approx((T)0.8)); + CHECK(Math::fract((T)-10.1) == doctest::Approx((T)0.9)); } -TEST_CASE("[Math] pingpong") { - CHECK(Math::pingpong(0.0, 0.0) == doctest::Approx(0.0)); - CHECK(Math::pingpong(1.0, 1.0) == doctest::Approx(1.0)); - CHECK(Math::pingpong(0.5, 2.0) == doctest::Approx(0.5)); - CHECK(Math::pingpong(3.5, 2.0) == doctest::Approx(0.5)); - CHECK(Math::pingpong(11.5, 2.0) == doctest::Approx(0.5)); - CHECK(Math::pingpong(-2.5, 2.0) == doctest::Approx(1.5)); +TEST_CASE_TEMPLATE("[Math] pingpong", T, float, double) { + CHECK(Math::pingpong((T)0.0, (T)0.0) == doctest::Approx((T)0.0)); + CHECK(Math::pingpong((T)1.0, (T)1.0) == doctest::Approx((T)1.0)); + CHECK(Math::pingpong((T)0.5, (T)2.0) == doctest::Approx((T)0.5)); + CHECK(Math::pingpong((T)3.5, (T)2.0) == doctest::Approx((T)0.5)); + CHECK(Math::pingpong((T)11.5, (T)2.0) == doctest::Approx((T)0.5)); + CHECK(Math::pingpong((T)-2.5, (T)2.0) == doctest::Approx((T)1.5)); } -TEST_CASE("[Math] deg_to_rad/rad_to_deg") { - CHECK(Math::deg_to_rad(180.0) == doctest::Approx(Math_PI)); - CHECK(Math::deg_to_rad(-27.0) == doctest::Approx(-0.471239)); +TEST_CASE_TEMPLATE("[Math] deg_to_rad/rad_to_deg", T, float, double) { + CHECK(Math::deg_to_rad((T)180.0) == doctest::Approx((T)Math_PI)); + CHECK(Math::deg_to_rad((T)-27.0) == doctest::Approx((T)-0.471239)); - CHECK(Math::rad_to_deg(Math_PI) == doctest::Approx(180.0)); - CHECK(Math::rad_to_deg(-1.5) == doctest::Approx(-85.94366927)); + CHECK(Math::rad_to_deg((T)Math_PI) == doctest::Approx((T)180.0)); + CHECK(Math::rad_to_deg((T)-1.5) == doctest::Approx((T)-85.94366927)); } -TEST_CASE("[Math] cubic_interpolate") { - CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 0.0) == doctest::Approx(0.2)); - CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 0.25) == doctest::Approx(0.33125)); - CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 0.5) == doctest::Approx(0.5)); - CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 0.75) == doctest::Approx(0.66875)); - CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 1.0) == doctest::Approx(0.8)); +TEST_CASE_TEMPLATE("[Math] cubic_interpolate", T, float, double) { + CHECK(Math::cubic_interpolate((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)0.0) == doctest::Approx((T)0.2)); + CHECK(Math::cubic_interpolate((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)0.25) == doctest::Approx((T)0.33125)); + CHECK(Math::cubic_interpolate((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)0.5) == doctest::Approx((T)0.5)); + CHECK(Math::cubic_interpolate((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)0.75) == doctest::Approx((T)0.66875)); + CHECK(Math::cubic_interpolate((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)1.0) == doctest::Approx((T)0.8)); - CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, -50.0) == doctest::Approx(-6662732.3)); - CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, -5.0) == doctest::Approx(-9356.3)); - CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, 0.0) == doctest::Approx(20.2)); - CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, 1.0) == doctest::Approx(30.1)); - CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, 4.0) == doctest::Approx(1853.2)); + CHECK(Math::cubic_interpolate((T)20.2, (T)30.1, (T)-100.0, (T)32.0, (T)-50.0) == doctest::Approx((T)-6662732.3)); + CHECK(Math::cubic_interpolate((T)20.2, (T)30.1, (T)-100.0, (T)32.0, (T)-5.0) == doctest::Approx((T)-9356.3)); + CHECK(Math::cubic_interpolate((T)20.2, (T)30.1, (T)-100.0, (T)32.0, (T)0.0) == doctest::Approx((T)20.2)); + CHECK(Math::cubic_interpolate((T)20.2, (T)30.1, (T)-100.0, (T)32.0, (T)1.0) == doctest::Approx((T)30.1)); + CHECK(Math::cubic_interpolate((T)20.2, (T)30.1, (T)-100.0, (T)32.0, (T)4.0) == doctest::Approx((T)1853.2)); } -TEST_CASE("[Math] cubic_interpolate_angle") { - CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.0) == doctest::Approx(Math_PI * (1.0 / 6.0))); - CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.25) == doctest::Approx(0.973566)); - CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.5) == doctest::Approx(Math_PI / 2.0)); - CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.75) == doctest::Approx(2.16803)); - CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 1.0) == doctest::Approx(Math_PI * (5.0 / 6.0))); +TEST_CASE_TEMPLATE("[Math] cubic_interpolate_angle", T, float, double) { + CHECK(Math::cubic_interpolate_angle((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)0.0) == doctest::Approx((T)Math_PI * (1.0 / 6.0))); + CHECK(Math::cubic_interpolate_angle((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)0.25) == doctest::Approx((T)0.973566)); + CHECK(Math::cubic_interpolate_angle((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)0.5) == doctest::Approx((T)Math_PI / 2.0)); + CHECK(Math::cubic_interpolate_angle((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)0.75) == doctest::Approx((T)2.16803)); + CHECK(Math::cubic_interpolate_angle((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)1.0) == doctest::Approx((T)Math_PI * (5.0 / 6.0))); } -TEST_CASE("[Math] cubic_interpolate_in_time") { - CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 0.0, 0.5, 0.0, 1.0) == doctest::Approx(0.0)); - CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 0.25, 0.5, 0.0, 1.0) == doctest::Approx(0.1625)); - CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 0.5, 0.5, 0.0, 1.0) == doctest::Approx(0.4)); - CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 0.75, 0.5, 0.0, 1.0) == doctest::Approx(0.6375)); - CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 1.0, 0.5, 0.0, 1.0) == doctest::Approx(0.8)); +TEST_CASE_TEMPLATE("[Math] cubic_interpolate_in_time", T, float, double) { + CHECK(Math::cubic_interpolate_in_time((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)0.0, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)0.0)); + CHECK(Math::cubic_interpolate_in_time((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)0.25, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)0.1625)); + CHECK(Math::cubic_interpolate_in_time((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)0.5, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)0.4)); + CHECK(Math::cubic_interpolate_in_time((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)0.75, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)0.6375)); + CHECK(Math::cubic_interpolate_in_time((T)0.2, (T)0.8, (T)0.0, (T)1.0, (T)1.0, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)0.8)); } -TEST_CASE("[Math] cubic_interpolate_angle_in_time") { - CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.0, 0.5, 0.0, 1.0) == doctest::Approx(0.0)); - CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.25, 0.5, 0.0, 1.0) == doctest::Approx(0.494964)); - CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.5, 0.5, 0.0, 1.0) == doctest::Approx(1.27627)); - CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.75, 0.5, 0.0, 1.0) == doctest::Approx(2.07394)); - CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 1.0, 0.5, 0.0, 1.0) == doctest::Approx(Math_PI * (5.0 / 6.0))); +TEST_CASE_TEMPLATE("[Math] cubic_interpolate_angle_in_time", T, float, double) { + CHECK(Math::cubic_interpolate_angle_in_time((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)0.0, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)0.0)); + CHECK(Math::cubic_interpolate_angle_in_time((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)0.25, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)0.494964)); + CHECK(Math::cubic_interpolate_angle_in_time((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)0.5, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)1.27627)); + CHECK(Math::cubic_interpolate_angle_in_time((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)0.75, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)2.07394)); + CHECK(Math::cubic_interpolate_angle_in_time((T)(Math_PI * (1.0 / 6.0)), (T)(Math_PI * (5.0 / 6.0)), (T)0.0, (T)Math_PI, (T)1.0, (T)0.5, (T)0.0, (T)1.0) == doctest::Approx((T)Math_PI * (5.0 / 6.0))); } -TEST_CASE("[Math] bezier_interpolate") { - CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 0.0) == doctest::Approx(0.0)); - CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 0.25) == doctest::Approx(0.2125)); - CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 0.5) == doctest::Approx(0.5)); - CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 0.75) == doctest::Approx(0.7875)); - CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 1.0) == doctest::Approx(1.0)); +TEST_CASE_TEMPLATE("[Math] bezier_interpolate", T, float, double) { + CHECK(Math::bezier_interpolate((T)0.0, (T)0.2, (T)0.8, (T)1.0, (T)0.0) == doctest::Approx((T)0.0)); + CHECK(Math::bezier_interpolate((T)0.0, (T)0.2, (T)0.8, (T)1.0, (T)0.25) == doctest::Approx((T)0.2125)); + CHECK(Math::bezier_interpolate((T)0.0, (T)0.2, (T)0.8, (T)1.0, (T)0.5) == doctest::Approx((T)0.5)); + CHECK(Math::bezier_interpolate((T)0.0, (T)0.2, (T)0.8, (T)1.0, (T)0.75) == doctest::Approx((T)0.7875)); + CHECK(Math::bezier_interpolate((T)0.0, (T)0.2, (T)0.8, (T)1.0, (T)1.0) == doctest::Approx((T)1.0)); } } // namespace TestMath |