/* * Copyright (c) 2018-2020, Andreas Kling * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * 1. Redistributions of source code must retain the above copyright notice, this * list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include #include #define EXPECT_CLOSE(a, b) { EXPECT(fabs(a - b) < 0.000001); } TEST_CASE(trig) { EXPECT_CLOSE(sin(1234), 0.653316); EXPECT_CLOSE(cos(1234), -0.830914); EXPECT_CLOSE(tan(1234), -0.786262); EXPECT_CLOSE(sqrt(1234), 35.128336) EXPECT_CLOSE(sin(-1), -0.867955); EXPECT_CLOSE(cos(-1), 0.594715); EXPECT_CLOSE(tan(-1), -1.459446); EXPECT(isnan(sqrt(-1))); EXPECT(isnan(asin(1.1))); EXPECT(isnan(asin(-1.1))); EXPECT_CLOSE(asin(0), 0.0); EXPECT_CLOSE(asin(0.01), 0.01); EXPECT_CLOSE(asin(0.1), 0.100167); EXPECT_CLOSE(asin(0.3), 0.304693); EXPECT_CLOSE(asin(0.499), 0.522444); EXPECT_CLOSE(asin(0.5), 0.523599); EXPECT_CLOSE(asin(0.501), 0.524754); EXPECT_CLOSE(asin(0.9), 1.119770); EXPECT_CLOSE(asin(0.99), 1.429246); EXPECT_CLOSE(asin(1.0), 1.570750); EXPECT_CLOSE(atan(0), 0.0) EXPECT_CLOSE(atan(0.5), 0.463648) EXPECT_CLOSE(atan(-0.5), -0.463648) EXPECT_CLOSE(atan(5.5), 1.390943) EXPECT_CLOSE(atan(-5.5), -1.390943) EXPECT_CLOSE(atan(555.5), 1.568996) } TEST_CASE(other) { EXPECT_EQ(trunc(9999999999999.5), 9999999999999.0); EXPECT_EQ(trunc(-9999999999999.5), -9999999999999.0); } TEST_CASE(exponents) { struct values { double x; double exp; double sinh; double cosh; double tanh; }; values values[8] { { 1.500000, 4.481626, 2.129246, 2.352379, 0.905148}, { 20.990000, 1304956710.432035, 652478355.216017, 652478355.216017, 1.000000}, { 20.010000, 490041186.687082, 245020593.343541, 245020593.343541, 1.000000}, { 0.000000, 1.000000, 0.000000, 1.000000, 0.000000}, { 0.010000, 1.010050, 0.010000, 1.000050, 0.010000}, { -0.010000, 0.990050, -0.010000, 1.000050, -0.010000}, { -1.000000, 0.367879, -1.175201, 1.543081, -0.761594}, { -17.000000, 0.000000, -12077476.376788, 12077476.376788, -1.000000}, }; for (auto& v : values) { EXPECT_CLOSE(exp(v.x), v.exp); EXPECT_CLOSE(sinh(v.x), v.sinh); EXPECT_CLOSE(cosh(v.x), v.cosh); EXPECT_CLOSE(tanh(v.x), v.tanh); } EXPECT_EQ(exp(1000), std::numeric_limits::infinity()); } TEST_CASE(logarithms) { EXPECT(isnan(log(-1))); EXPECT(log(0) < -1000000); EXPECT_CLOSE(log(0.5), -0.693233) EXPECT_CLOSE(log(1.1), 0.095310) EXPECT_CLOSE(log(5), 1.609480) EXPECT_CLOSE(log(5.5), 1.704842) EXPECT_CLOSE(log(500), 6.214104) EXPECT_CLOSE(log2(5), 2.321989) EXPECT_CLOSE(log10(5), 0.698988) } TEST_MAIN(Math)