/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│ │vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi│ ╞══════════════════════════════════════════════════════════════════════════════╡ │ Copyright 2021 Justine Alexandra Roberts Tunney │ │ │ │ Permission to use, copy, modify, and/or distribute this software for │ │ any purpose with or without fee is hereby granted, provided that the │ │ above copyright notice and this permission notice appear in all copies. │ │ │ │ THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL │ │ WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED │ │ WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE │ │ AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL │ │ DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR │ │ PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER │ │ TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR │ │ PERFORMANCE OF THIS SOFTWARE. │ ╚─────────────────────────────────────────────────────────────────────────────*/ #include "libc/math.h" #include "libc/mem/gc.h" #include "libc/testlib/ezbench.h" #include "libc/testlib/testlib.h" #include "libc/x/xasprintf.h" double _atan2(double, double) asm("atan2"); float _atan2f(float, float) asm("atan2f"); long double _atan2l(long double, long double) asm("atan2l"); TEST(atan2, yx) { EXPECT_STREQ("-0.321750554396642", _gc(xasprintf("%.15g", atan(-.5 / 1.5)))); EXPECT_STREQ("-0.321750554396642", _gc(xasprintf("%.15g", _atan2(-.5, 1.5)))); } TEST(atan2, test) { EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(0., 0.)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(0., -0.)))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(0., .5)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(0., -.5)))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(0., 1.)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(0., -1.)))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(0., 1.5)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(0., -1.5)))); EXPECT_TRUE(isnan(_atan2(0., NAN))); EXPECT_TRUE(isnan(_atan2(0., -NAN))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(0., INFINITY)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(0., -INFINITY)))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(0., __DBL_MIN__)))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(0., __DBL_MAX__)))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-0., 0.)))); EXPECT_STREQ("-3.14159265358979", _gc(xasprintf("%.15g", _atan2(-0., -0.)))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-0., .5)))); EXPECT_STREQ("-3.14159265358979", _gc(xasprintf("%.15g", _atan2(-0., -.5)))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-0., 1.)))); EXPECT_STREQ("-3.14159265358979", _gc(xasprintf("%.15g", _atan2(-0., -1.)))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-0., 1.5)))); EXPECT_STREQ("-3.14159265358979", _gc(xasprintf("%.15g", _atan2(-0., -1.5)))); EXPECT_TRUE(isnan(_atan2(-0., NAN))); EXPECT_TRUE(isnan(_atan2(-0., -NAN))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-0., INFINITY)))); EXPECT_STREQ("-3.14159265358979", _gc(xasprintf("%.15g", _atan2(-0., -INFINITY)))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-0., __DBL_MIN__)))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-0., __DBL_MAX__)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(.5, 0.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(.5, -0.)))); EXPECT_STREQ("0.785398163397448", _gc(xasprintf("%.15g", _atan2(.5, .5)))); EXPECT_STREQ("2.35619449019234", _gc(xasprintf("%.15g", _atan2(.5, -.5)))); EXPECT_STREQ("0.463647609000806", _gc(xasprintf("%.15g", _atan2(.5, 1.)))); EXPECT_STREQ("2.67794504458899", _gc(xasprintf("%.15g", _atan2(.5, -1.)))); EXPECT_STREQ("0.321750554396642", _gc(xasprintf("%.15g", _atan2(.5, 1.5)))); EXPECT_STREQ("2.81984209919315", _gc(xasprintf("%.15g", _atan2(.5, -1.5)))); EXPECT_TRUE(isnan(_atan2(.5, NAN))); EXPECT_TRUE(isnan(_atan2(.5, -NAN))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(.5, INFINITY)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(.5, -INFINITY)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(.5, __DBL_MIN__)))); EXPECT_STREQ("2.781342323134e-309", _gc(xasprintf("%.15g", _atan2(.5, __DBL_MAX__)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-.5, 0.)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-.5, -0.)))); EXPECT_STREQ("-0.785398163397448", _gc(xasprintf("%.15g", _atan2(-.5, .5)))); EXPECT_STREQ("-2.35619449019234", _gc(xasprintf("%.15g", _atan2(-.5, -.5)))); EXPECT_STREQ("-0.463647609000806", _gc(xasprintf("%.15g", _atan2(-.5, 1.)))); EXPECT_STREQ("-2.67794504458899", _gc(xasprintf("%.15g", _atan2(-.5, -1.)))); EXPECT_STREQ("-0.321750554396642", _gc(xasprintf("%.15g", _atan2(-.5, 1.5)))); EXPECT_STREQ("-2.81984209919315", _gc(xasprintf("%.15g", _atan2(-.5, -1.5)))); EXPECT_TRUE(isnan(_atan2(-.5, NAN))); EXPECT_TRUE(isnan(_atan2(-.5, -NAN))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-.5, INFINITY)))); EXPECT_STREQ("-3.14159265358979", _gc(xasprintf("%.15g", _atan2(-.5, -INFINITY)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-.5, __DBL_MIN__)))); EXPECT_STREQ("-2.781342323134e-309", _gc(xasprintf("%.15g", _atan2(-.5, __DBL_MAX__)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(1., 0.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(1., -0.)))); EXPECT_STREQ("1.10714871779409", _gc(xasprintf("%.15g", _atan2(1., .5)))); EXPECT_STREQ("2.0344439357957", _gc(xasprintf("%.15g", _atan2(1., -.5)))); EXPECT_STREQ("0.785398163397448", _gc(xasprintf("%.15g", _atan2(1., 1.)))); EXPECT_STREQ("2.35619449019234", _gc(xasprintf("%.15g", _atan2(1., -1.)))); EXPECT_STREQ("0.588002603547568", _gc(xasprintf("%.15g", _atan2(1., 1.5)))); EXPECT_STREQ("2.55359005004223", _gc(xasprintf("%.15g", _atan2(1., -1.5)))); EXPECT_TRUE(isnan(_atan2(1., NAN))); EXPECT_TRUE(isnan(_atan2(1., -NAN))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(1., INFINITY)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(1., -INFINITY)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(1., __DBL_MIN__)))); EXPECT_STREQ("5.562684646268e-309", _gc(xasprintf("%.15g", _atan2(1., __DBL_MAX__)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-1., 0.)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-1., -0.)))); EXPECT_STREQ("-1.10714871779409", _gc(xasprintf("%.15g", _atan2(-1., .5)))); EXPECT_STREQ("-2.0344439357957", _gc(xasprintf("%.15g", _atan2(-1., -.5)))); EXPECT_STREQ("-0.785398163397448", _gc(xasprintf("%.15g", _atan2(-1., 1.)))); EXPECT_STREQ("-2.35619449019234", _gc(xasprintf("%.15g", _atan2(-1., -1.)))); EXPECT_STREQ("-0.588002603547568", _gc(xasprintf("%.15g", _atan2(-1., 1.5)))); EXPECT_STREQ("-2.55359005004223", _gc(xasprintf("%.15g", _atan2(-1., -1.5)))); EXPECT_TRUE(isnan(_atan2(-1., NAN))); EXPECT_TRUE(isnan(_atan2(-1., -NAN))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-1., INFINITY)))); EXPECT_STREQ("-3.14159265358979", _gc(xasprintf("%.15g", _atan2(-1., -INFINITY)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-1., __DBL_MIN__)))); EXPECT_STREQ("-5.562684646268e-309", _gc(xasprintf("%.15g", _atan2(-1., __DBL_MAX__)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(1.5, 0.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(1.5, -0.)))); EXPECT_STREQ("1.24904577239825", _gc(xasprintf("%.15g", _atan2(1.5, .5)))); EXPECT_STREQ("1.89254688119154", _gc(xasprintf("%.15g", _atan2(1.5, -.5)))); EXPECT_STREQ("0.982793723247329", _gc(xasprintf("%.15g", _atan2(1.5, 1.)))); EXPECT_STREQ("2.15879893034246", _gc(xasprintf("%.15g", _atan2(1.5, -1.)))); EXPECT_STREQ("0.785398163397448", _gc(xasprintf("%.15g", _atan2(1.5, 1.5)))); EXPECT_STREQ("2.35619449019234", _gc(xasprintf("%.15g", _atan2(1.5, -1.5)))); EXPECT_TRUE(isnan(_atan2(1.5, NAN))); EXPECT_TRUE(isnan(_atan2(1.5, -NAN))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(1.5, INFINITY)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(1.5, -INFINITY)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(1.5, __DBL_MIN__)))); EXPECT_STREQ("8.34402696940201e-309", _gc(xasprintf("%.15g", _atan2(1.5, __DBL_MAX__)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-1.5, 0.)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-1.5, -0.)))); EXPECT_STREQ("-1.24904577239825", _gc(xasprintf("%.15g", _atan2(-1.5, .5)))); EXPECT_STREQ("-1.89254688119154", _gc(xasprintf("%.15g", _atan2(-1.5, -.5)))); EXPECT_STREQ("-0.982793723247329", _gc(xasprintf("%.15g", _atan2(-1.5, 1.)))); EXPECT_STREQ("-2.15879893034246", _gc(xasprintf("%.15g", _atan2(-1.5, -1.)))); EXPECT_STREQ("-0.785398163397448", _gc(xasprintf("%.15g", _atan2(-1.5, 1.5)))); EXPECT_STREQ("-2.35619449019234", _gc(xasprintf("%.15g", _atan2(-1.5, -1.5)))); EXPECT_TRUE(isnan(_atan2(-1.5, NAN))); EXPECT_TRUE(isnan(_atan2(-1.5, -NAN))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-1.5, INFINITY)))); EXPECT_STREQ("-3.14159265358979", _gc(xasprintf("%.15g", _atan2(-1.5, -INFINITY)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-1.5, __DBL_MIN__)))); EXPECT_STREQ("-8.34402696940201e-309", _gc(xasprintf("%.15g", _atan2(-1.5, __DBL_MAX__)))); EXPECT_TRUE(isnan(_atan2(NAN, 0.))); EXPECT_TRUE(isnan(_atan2(NAN, -0.))); EXPECT_TRUE(isnan(_atan2(NAN, .5))); EXPECT_TRUE(isnan(_atan2(NAN, -.5))); EXPECT_TRUE(isnan(_atan2(NAN, 1.))); EXPECT_TRUE(isnan(_atan2(NAN, -1.))); EXPECT_TRUE(isnan(_atan2(NAN, 1.5))); EXPECT_TRUE(isnan(_atan2(NAN, -1.5))); EXPECT_TRUE(isnan(_atan2(NAN, NAN))); EXPECT_TRUE(isnan(_atan2(NAN, -NAN))); EXPECT_TRUE(isnan(_atan2(NAN, INFINITY))); EXPECT_TRUE(isnan(_atan2(NAN, -INFINITY))); EXPECT_TRUE(isnan(_atan2(NAN, __DBL_MIN__))); EXPECT_TRUE(isnan(_atan2(NAN, __DBL_MAX__))); EXPECT_TRUE(isnan(_atan2(-NAN, 0.))); EXPECT_TRUE(isnan(_atan2(-NAN, -0.))); EXPECT_TRUE(isnan(_atan2(-NAN, .5))); EXPECT_TRUE(isnan(_atan2(-NAN, -.5))); EXPECT_TRUE(isnan(_atan2(-NAN, 1.))); EXPECT_TRUE(isnan(_atan2(-NAN, -1.))); EXPECT_TRUE(isnan(_atan2(-NAN, 1.5))); EXPECT_TRUE(isnan(_atan2(-NAN, -1.5))); EXPECT_TRUE(isnan(_atan2(-NAN, NAN))); EXPECT_TRUE(isnan(_atan2(-NAN, -NAN))); EXPECT_TRUE(isnan(_atan2(-NAN, INFINITY))); EXPECT_TRUE(isnan(_atan2(-NAN, -INFINITY))); EXPECT_TRUE(isnan(_atan2(-NAN, __DBL_MIN__))); EXPECT_TRUE(isnan(_atan2(-NAN, __DBL_MAX__))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, 0.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, -0.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, .5)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, -.5)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, 1.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, -1.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, 1.5)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, -1.5)))); EXPECT_TRUE(isnan(_atan2(INFINITY, NAN))); EXPECT_TRUE(isnan(_atan2(INFINITY, -NAN))); EXPECT_STREQ("0.785398163397448", _gc(xasprintf("%.15g", _atan2(INFINITY, INFINITY)))); EXPECT_STREQ("2.35619449019234", _gc(xasprintf("%.15g", _atan2(INFINITY, -INFINITY)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, __DBL_MIN__)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(INFINITY, __DBL_MAX__)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, 0.)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, -0.)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, .5)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, -.5)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, 1.)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, -1.)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, 1.5)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, -1.5)))); EXPECT_TRUE(isnan(_atan2(-INFINITY, NAN))); EXPECT_TRUE(isnan(_atan2(-INFINITY, -NAN))); EXPECT_STREQ("-0.785398163397448", _gc(xasprintf("%.15g", _atan2(-INFINITY, INFINITY)))); EXPECT_STREQ("-2.35619449019234", _gc(xasprintf("%.15g", _atan2(-INFINITY, -INFINITY)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, __DBL_MIN__)))); EXPECT_STREQ("-1.5707963267949", _gc(xasprintf("%.15g", _atan2(-INFINITY, __DBL_MAX__)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, 0.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, -0.)))); EXPECT_STREQ("4.4501477170144e-308", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, .5)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, -.5)))); EXPECT_STREQ("2.2250738585072e-308", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, 1.)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, -1.)))); EXPECT_STREQ("1.48338257233813e-308", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, 1.5)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, -1.5)))); EXPECT_TRUE(isnan(_atan2(__DBL_MIN__, NAN))); EXPECT_TRUE(isnan(_atan2(__DBL_MIN__, -NAN))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, INFINITY)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, -INFINITY)))); EXPECT_STREQ("0.785398163397448", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, __DBL_MIN__)))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(__DBL_MIN__, __DBL_MAX__)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, 0.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, -0.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, .5)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, -.5)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, 1.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, -1.)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, 1.5)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, -1.5)))); EXPECT_TRUE(isnan(_atan2(__DBL_MAX__, NAN))); EXPECT_TRUE(isnan(_atan2(__DBL_MAX__, -NAN))); EXPECT_STREQ("0", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, INFINITY)))); EXPECT_STREQ("3.14159265358979", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, -INFINITY)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, __DBL_MIN__)))); EXPECT_STREQ("0.785398163397448", _gc(xasprintf("%.15g", _atan2(__DBL_MAX__, __DBL_MAX__)))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-0.000000000000001, INFINITY)))); EXPECT_STREQ("-0", _gc(xasprintf("%.15g", _atan2(-1, INFINITY)))); EXPECT_STREQ( "-0", _gc(xasprintf("%.15g", _atan2(-1.7976931348623157e308, INFINITY)))); EXPECT_STREQ("1.5707963267949", _gc(xasprintf("%.15g", _atan2(1.4142135623731, 0)))); } BENCH(atan2, bench) { volatile float f = 3; volatile double d = 3; volatile long double l = 3; EZBENCH2("atan2", donothing, _atan2(d, d)); // ~19ns EZBENCH2("atan2f", donothing, _atan2f(f, f)); // ~12ns EZBENCH2("atan2l", donothing, _atan2l(l, l)); // ~31ns }