diff --git a/lib/msun/src/s_ccoshf.c b/lib/msun/src/s_ccoshf.c index 5d7a09ba5f8d..e72395c277d5 100644 --- a/lib/msun/src/s_ccoshf.c +++ b/lib/msun/src/s_ccoshf.c @@ -1,104 +1,104 @@ /*- * SPDX-License-Identifier: BSD-2-Clause-FreeBSD * * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl * 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 unmodified, 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 AUTHOR ``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 AUTHOR 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. */ /* * Float version of ccosh(). See s_ccosh.c for details. */ #include __FBSDID("$FreeBSD$"); #include #include #include "math_private.h" static const float huge = 0x1p127; float complex ccoshf(float complex z) { - float x, y, h; + volatile float x, y, h; int32_t hx, hy, ix, iy; x = crealf(z); y = cimagf(z); GET_FLOAT_WORD(hx, x); GET_FLOAT_WORD(hy, y); ix = 0x7fffffff & hx; iy = 0x7fffffff & hy; if (ix < 0x7f800000 && iy < 0x7f800000) { if (iy == 0) return (CMPLXF(coshf(x), x * y)); if (ix < 0x41100000) /* |x| < 9: normal case */ return (CMPLXF(coshf(x) * cosf(y), sinhf(x) * sinf(y))); /* |x| >= 9, so cosh(x) ~= exp(|x|) */ if (ix < 0x42b17218) { /* x < 88.7: expf(|x|) won't overflow */ h = expf(fabsf(x)) * 0.5F; return (CMPLXF(h * cosf(y), copysignf(h, x) * sinf(y))); } else if (ix < 0x4340b1e7) { /* x < 192.7: scale to avoid overflow */ z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1); return (CMPLXF(crealf(z), cimagf(z) * copysignf(1, x))); } else { /* x >= 192.7: the result always overflows */ h = huge * x; return (CMPLXF(h * h * cosf(y), h * sinf(y))); } } if (ix == 0) /* && iy >= 0x7f800000 */ return (CMPLXF(y - y, x * copysignf(0, y))); if (iy == 0) /* && ix >= 0x7f800000 */ return (CMPLXF(x * x, copysignf(0, x) * y)); if (ix < 0x7f800000) /* && iy >= 0x7f800000 */ return (CMPLXF(y - y, x * (y - y))); if (ix == 0x7f800000) { if (iy >= 0x7f800000) return (CMPLXF(INFINITY, x * (y - y))); return (CMPLXF(INFINITY * cosf(y), x * sinf(y))); } return (CMPLXF(((long double)x * x) * (y - y), ((long double)x + x) * (y - y))); } float complex ccosf(float complex z) { return (ccoshf(CMPLXF(-cimagf(z), crealf(z)))); } diff --git a/lib/msun/src/s_ctanh.c b/lib/msun/src/s_ctanh.c index 88afeb50e26e..13eb9d40b678 100644 --- a/lib/msun/src/s_ctanh.c +++ b/lib/msun/src/s_ctanh.c @@ -1,147 +1,147 @@ /*- * SPDX-License-Identifier: BSD-2-Clause-FreeBSD * * Copyright (c) 2011 David Schultz * 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 unmodified, 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 AUTHOR ``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 AUTHOR 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. */ /* * Hyperbolic tangent of a complex argument z = x + I y. * * The algorithm is from: * * W. Kahan. Branch Cuts for Complex Elementary Functions or Much * Ado About Nothing's Sign Bit. In The State of the Art in * Numerical Analysis, pp. 165 ff. Iserles and Powell, eds., 1987. * * Method: * * Let t = tan(x) * beta = 1/cos^2(y) * s = sinh(x) * rho = cosh(x) * * We have: * * tanh(z) = sinh(z) / cosh(z) * * sinh(x) cos(y) + I cosh(x) sin(y) * = --------------------------------- * cosh(x) cos(y) + I sinh(x) sin(y) * * cosh(x) sinh(x) / cos^2(y) + I tan(y) * = ------------------------------------- * 1 + sinh^2(x) / cos^2(y) * * beta rho s + I t * = ---------------- * 1 + beta s^2 * * Modifications: * * I omitted the original algorithm's handling of overflow in tan(x) after * verifying with nearpi.c that this can't happen in IEEE single or double * precision. I also handle large x differently. */ #include __FBSDID("$FreeBSD$"); #include #include #include "math_private.h" double complex ctanh(double complex z) { - double x, y; + volatile double x, y; double t, beta, s, rho, denom; uint32_t hx, ix, lx; x = creal(z); y = cimag(z); EXTRACT_WORDS(hx, lx, x); ix = hx & 0x7fffffff; /* * ctanh(NaN +- I 0) = d(NaN) +- I 0 * * ctanh(NaN + I y) = d(NaN,y) + I d(NaN,y) for y != 0 * * The imaginary part has the sign of x*sin(2*y), but there's no * special effort to get this right. * * ctanh(+-Inf +- I Inf) = +-1 +- I 0 * * ctanh(+-Inf + I y) = +-1 + I 0 sin(2y) for y finite * * The imaginary part of the sign is unspecified. This special * case is only needed to avoid a spurious invalid exception when * y is infinite. */ if (ix >= 0x7ff00000) { if ((ix & 0xfffff) | lx) /* x is NaN */ return (CMPLX(nan_mix(x, y), y == 0 ? y : nan_mix(x, y))); SET_HIGH_WORD(x, hx - 0x40000000); /* x = copysign(1, x) */ return (CMPLX(x, copysign(0, isinf(y) ? y : sin(y) * cos(y)))); } /* * ctanh(x + I NaN) = d(NaN) + I d(NaN) * ctanh(x +- I Inf) = dNaN + I dNaN */ if (!isfinite(y)) return (CMPLX(y - y, y - y)); /* * ctanh(+-huge +- I y) ~= +-1 +- I 2sin(2y)/exp(2x), using the * approximation sinh^2(huge) ~= exp(2*huge) / 4. * We use a modified formula to avoid spurious overflow. */ if (ix >= 0x40360000) { /* |x| >= 22 */ double exp_mx = exp(-fabs(x)); return (CMPLX(copysign(1, x), 4 * sin(y) * cos(y) * exp_mx * exp_mx)); } /* Kahan's algorithm */ t = tan(y); beta = 1.0 + t * t; /* = 1 / cos^2(y) */ s = sinh(x); rho = sqrt(1 + s * s); /* = cosh(x) */ denom = 1 + beta * s * s; return (CMPLX((beta * rho * s) / denom, t / denom)); } double complex ctan(double complex z) { /* ctan(z) = -I * ctanh(I * z) = I * conj(ctanh(I * conj(z))) */ z = ctanh(CMPLX(cimag(z), creal(z))); return (CMPLX(cimag(z), creal(z))); } diff --git a/lib/msun/src/s_ctanhf.c b/lib/msun/src/s_ctanhf.c index d2bd0b6786f0..7d375eafd2ae 100644 --- a/lib/msun/src/s_ctanhf.c +++ b/lib/msun/src/s_ctanhf.c @@ -1,87 +1,87 @@ /*- * SPDX-License-Identifier: BSD-2-Clause-FreeBSD * * Copyright (c) 2011 David Schultz * 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 unmodified, 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 AUTHOR ``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 AUTHOR 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. */ /* * Hyperbolic tangent of a complex argument z. See s_ctanh.c for details. */ #include __FBSDID("$FreeBSD$"); #include #include #include "math_private.h" float complex ctanhf(float complex z) { - float x, y; + volatile float x, y; float t, beta, s, rho, denom; uint32_t hx, ix; x = crealf(z); y = cimagf(z); GET_FLOAT_WORD(hx, x); ix = hx & 0x7fffffff; if (ix >= 0x7f800000) { if (ix & 0x7fffff) return (CMPLXF(nan_mix(x, y), y == 0 ? y : nan_mix(x, y))); SET_FLOAT_WORD(x, hx - 0x40000000); return (CMPLXF(x, copysignf(0, isinf(y) ? y : sinf(y) * cosf(y)))); } if (!isfinite(y)) return (CMPLXF(y - y, y - y)); if (ix >= 0x41300000) { /* |x| >= 11 */ float exp_mx = expf(-fabsf(x)); return (CMPLXF(copysignf(1, x), 4 * sinf(y) * cosf(y) * exp_mx * exp_mx)); } t = tanf(y); beta = 1.0 + t * t; s = sinhf(x); rho = sqrtf(1 + s * s); denom = 1 + beta * s * s; return (CMPLXF((beta * rho * s) / denom, t / denom)); } float complex ctanf(float complex z) { z = ctanhf(CMPLXF(cimagf(z), crealf(z))); return (CMPLXF(cimagf(z), crealf(z))); } diff --git a/lib/msun/tests/ctrig_test.c b/lib/msun/tests/ctrig_test.c index effc4cfce281..45b2b78b0416 100644 --- a/lib/msun/tests/ctrig_test.c +++ b/lib/msun/tests/ctrig_test.c @@ -1,497 +1,494 @@ /*- * Copyright (c) 2008-2011 David Schultz * 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 AUTHOR 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 AUTHOR 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. */ /* * Tests for csin[h](), ccos[h](), and ctan[h](). */ #include __FBSDID("$FreeBSD$"); #include #include #include #include #include #include #include #include "test-utils.h" #pragma STDC FENV_ACCESS ON #pragma STDC CX_LIMITED_RANGE OFF /* * Test that a function returns the correct value and sets the * exception flags correctly. The exceptmask specifies which * exceptions we should check. We need to be lenient for several * reasons, but mainly because on some architectures it's impossible * to raise FE_OVERFLOW without raising FE_INEXACT. * * These are macros instead of functions so that assert provides more * meaningful error messages. * * XXX The volatile here is to avoid gcc's bogus constant folding and work * around the lack of support for the FENV_ACCESS pragma. */ #define test_p(func, z, result, exceptmask, excepts, checksign) do { \ volatile long double complex _d = z; \ debug(" testing %s(%Lg + %Lg I) == %Lg + %Lg I\n", #func, \ creall(_d), cimagl(_d), creall(result), cimagl(result)); \ ATF_CHECK(feclearexcept(FE_ALL_EXCEPT) == 0); \ ATF_CHECK(cfpequal_cs((func)(_d), (result), (checksign))); \ ATF_CHECK(((void)(func), fetestexcept(exceptmask) == (excepts))); \ } while (0) /* * Test within a given tolerance. The tolerance indicates relative error * in ulps. If result is 0, however, it measures absolute error in units * of _EPSILON. */ #define test_p_tol(func, z, result, tol) do { \ volatile long double complex _d = z; \ debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \ creall(_d), cimagl(_d), creall(result), cimagl(result)); \ ATF_CHECK(cfpequal_tol((func)(_d), (result), (tol), FPE_ABS_ZERO)); \ } while (0) /* These wrappers apply the identities f(conj(z)) = conj(f(z)). */ #define test(func, z, result, exceptmask, excepts, checksign) do { \ test_p(func, z, result, exceptmask, excepts, checksign); \ test_p(func, conjl(z), conjl(result), exceptmask, excepts, checksign); \ } while (0) #define test_tol(func, z, result, tol) do { \ test_p_tol(func, z, result, tol); \ test_p_tol(func, conjl(z), conjl(result), tol); \ } while (0) #define test_odd_tol(func, z, result, tol) do { \ test_tol(func, z, result, tol); \ test_tol(func, -(z), -(result), tol); \ } while (0) #define test_even_tol(func, z, result, tol) do { \ test_tol(func, z, result, tol); \ test_tol(func, -(z), result, tol); \ } while (0) /* Test the given function in all precisions. */ #define testall(func, x, result, exceptmask, excepts, checksign) do { \ test(func, x, result, exceptmask, excepts, checksign); \ test(func##f, x, result, exceptmask, excepts, checksign); \ } while (0) #define testall_odd(func, x, result, exceptmask, excepts, checksign) do { \ testall(func, x, result, exceptmask, excepts, checksign); \ testall(func, -x, -result, exceptmask, excepts, checksign); \ } while (0) #define testall_even(func, x, result, exceptmask, excepts, checksign) do { \ testall(func, x, result, exceptmask, excepts, checksign); \ testall(func, -x, result, exceptmask, excepts, checksign); \ } while (0) /* * Test the given function in all precisions, within a given tolerance. * The tolerance is specified in ulps. */ #define testall_tol(func, x, result, tol) do { \ test_tol(func, x, result, tol * DBL_ULP()); \ test_tol(func##f, x, result, tol * FLT_ULP()); \ } while (0) #define testall_odd_tol(func, x, result, tol) do { \ test_odd_tol(func, x, result, tol * DBL_ULP()); \ test_odd_tol(func##f, x, result, tol * FLT_ULP()); \ } while (0) #define testall_even_tol(func, x, result, tol) do { \ test_even_tol(func, x, result, tol * DBL_ULP()); \ test_even_tol(func##f, x, result, tol * FLT_ULP()); \ } while (0) ATF_TC(test_zero_input); ATF_TC_HEAD(test_zero_input, tc) { atf_tc_set_md_var(tc, "descr", "test 0 input"); } ATF_TC_BODY(test_zero_input, tc) { long double complex zero = CMPLXL(0.0, 0.0); #if defined(__amd64__) #if defined(__clang__) && \ ((__clang_major__ >= 4)) atf_tc_expect_fail("test fails with clang 4.x+ - bug 217528"); #endif #endif /* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */ testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH); testall_even(ccos, zero, CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH); testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); testall_odd(ctan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); } ATF_TC(test_nan_inputs); ATF_TC_HEAD(test_nan_inputs, tc) { atf_tc_set_md_var(tc, "descr", "test NaN inputs"); } ATF_TC_BODY(test_nan_inputs, tc) { long double complex nan_nan = CMPLXL(NAN, NAN); long double complex z; /* * IN CSINH CCOSH CTANH * NaN,NaN NaN,NaN NaN,NaN NaN,NaN * finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] * NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] * NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] * Inf,NaN +-Inf,NaN Inf,NaN 1,+-0 * 0,NaN +-0,NaN NaN,+-0 NaN,NaN [inval] * NaN,0 NaN,0 NaN,+-0 NaN,0 */ z = nan_nan; testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0); testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0); testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0); z = CMPLXL(42, NAN); testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); /* XXX We allow a spurious inexact exception here. */ testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); z = CMPLXL(NAN, 42); testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); /* XXX We allow a spurious inexact exception here. */ testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); z = CMPLXL(NAN, INFINITY); testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0); testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, CS_IMAG); testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG); z = CMPLXL(INFINITY, NAN); testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0); testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, CS_REAL); testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); z = CMPLXL(0, NAN); testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, 0); testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); testall_odd(csin, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); testall_odd(ctan, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); z = CMPLXL(NAN, 0); testall_odd(csinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); testall_odd(ctanh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); } ATF_TC(test_inf_inputs); ATF_TC_HEAD(test_inf_inputs, tc) { atf_tc_set_md_var(tc, "descr", "test infinity inputs"); } ATF_TC_BODY(test_inf_inputs, tc) { static const long double finites[] = { 0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4, }; long double complex z, c, s; unsigned i; - if (atf_tc_get_config_var_as_bool_wd(tc, "ci", false)) - atf_tc_expect_fail("https://bugs.freebsd.org/244732"); - /* * IN CSINH CCOSH CTANH * Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0 * Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite) * 0,Inf +-0,NaN inval NaN,+-0 inval NaN,NaN inval * finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval */ z = CMPLXL(INFINITY, INFINITY); testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, FE_INVALID, 0); testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_REAL); /* XXX We allow spurious inexact exceptions here (hard to avoid). */ for (i = 0; i < nitems(finites); i++) { z = CMPLXL(INFINITY, finites[i]); c = INFINITY * cosl(finites[i]); s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]); testall_odd(csinh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); testall_even(ccosh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); testall_odd(ctanh, z, CMPLXL(1, 0 * sin(finites[i] * 2)), OPT_INEXACT, 0, CS_BOTH); z = CMPLXL(finites[i], INFINITY); testall_odd(csin, z, CMPLXL(s, c), OPT_INEXACT, 0, CS_BOTH); testall_even(ccos, z, CMPLXL(c, -s), OPT_INEXACT, 0, CS_BOTH); testall_odd(ctan, z, CMPLXL(0 * sin(finites[i] * 2), 1), OPT_INEXACT, 0, CS_BOTH); } z = CMPLXL(0, INFINITY); testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); testall_odd(ctanh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); z = CMPLXL(INFINITY, 0); testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); testall_odd(ctan, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); z = CMPLXL(42, INFINITY); testall_odd(csinh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); testall_even(ccosh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); /* XXX We allow a spurious inexact exception here. */ testall_odd(ctanh, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); z = CMPLXL(INFINITY, 42); testall_odd(csin, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); testall_even(ccos, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); /* XXX We allow a spurious inexact exception here. */ testall_odd(ctan, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); } ATF_TC(test_axes); ATF_TC_HEAD(test_axes, tc) { atf_tc_set_md_var(tc, "descr", "test along the real/imaginary axes"); } ATF_TC_BODY(test_axes, tc) { static const long double nums[] = { M_PI / 4, M_PI / 2, 3 * M_PI / 4, 5 * M_PI / 4, 3 * M_PI / 2, 7 * M_PI / 4, }; long double complex z; unsigned i; for (i = 0; i < nitems(nums); i++) { /* Real axis */ z = CMPLXL(nums[i], 0.0); test_odd_tol(csinh, z, CMPLXL(sinh(nums[i]), 0), DBL_ULP()); test_even_tol(ccosh, z, CMPLXL(cosh(nums[i]), 0), DBL_ULP()); test_odd_tol(ctanh, z, CMPLXL(tanh(nums[i]), 0), DBL_ULP()); test_odd_tol(csin, z, CMPLXL(sin(nums[i]), copysign(0, cos(nums[i]))), DBL_ULP()); test_even_tol(ccos, z, CMPLXL(cos(nums[i]), -copysign(0, sin(nums[i]))), DBL_ULP()); test_odd_tol(ctan, z, CMPLXL(tan(nums[i]), 0), DBL_ULP()); test_odd_tol(csinhf, z, CMPLXL(sinhf(nums[i]), 0), FLT_ULP()); test_even_tol(ccoshf, z, CMPLXL(coshf(nums[i]), 0), FLT_ULP()); printf("%a %a\n", creal(z), cimag(z)); printf("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z))); printf("%a\n", nextafterf(tanhf(nums[i]), INFINITY)); test_odd_tol(ctanhf, z, CMPLXL(tanhf(nums[i]), 0), 1.3 * FLT_ULP()); test_odd_tol(csinf, z, CMPLXL(sinf(nums[i]), copysign(0, cosf(nums[i]))), FLT_ULP()); test_even_tol(ccosf, z, CMPLXL(cosf(nums[i]), -copysign(0, sinf(nums[i]))), 2 * FLT_ULP()); test_odd_tol(ctanf, z, CMPLXL(tanf(nums[i]), 0), FLT_ULP()); /* Imaginary axis */ z = CMPLXL(0.0, nums[i]); test_odd_tol(csinh, z, CMPLXL(copysign(0, cos(nums[i])), sin(nums[i])), DBL_ULP()); test_even_tol(ccosh, z, CMPLXL(cos(nums[i]), copysign(0, sin(nums[i]))), DBL_ULP()); test_odd_tol(ctanh, z, CMPLXL(0, tan(nums[i])), DBL_ULP()); test_odd_tol(csin, z, CMPLXL(0, sinh(nums[i])), DBL_ULP()); test_even_tol(ccos, z, CMPLXL(cosh(nums[i]), -0.0), DBL_ULP()); test_odd_tol(ctan, z, CMPLXL(0, tanh(nums[i])), DBL_ULP()); test_odd_tol(csinhf, z, CMPLXL(copysign(0, cosf(nums[i])), sinf(nums[i])), FLT_ULP()); test_even_tol(ccoshf, z, CMPLXL(cosf(nums[i]), copysign(0, sinf(nums[i]))), FLT_ULP()); test_odd_tol(ctanhf, z, CMPLXL(0, tanf(nums[i])), FLT_ULP()); test_odd_tol(csinf, z, CMPLXL(0, sinhf(nums[i])), FLT_ULP()); test_even_tol(ccosf, z, CMPLXL(coshf(nums[i]), -0.0), FLT_ULP()); test_odd_tol(ctanf, z, CMPLXL(0, tanhf(nums[i])), 1.3 * FLT_ULP()); } } ATF_TC(test_small_inputs); ATF_TC_HEAD(test_small_inputs, tc) { atf_tc_set_md_var(tc, "descr", "test underflow inputs"); } ATF_TC_BODY(test_small_inputs, tc) { /* * z = 0.5 + i Pi/4 * sinh(z) = (sinh(0.5) + i cosh(0.5)) * sqrt(2)/2 * cosh(z) = (cosh(0.5) + i sinh(0.5)) * sqrt(2)/2 * tanh(z) = (2cosh(0.5)sinh(0.5) + i) / (2 cosh(0.5)**2 - 1) * z = -0.5 + i Pi/2 * sinh(z) = cosh(0.5) * cosh(z) = -i sinh(0.5) * tanh(z) = -coth(0.5) * z = 1.0 + i 3Pi/4 * sinh(z) = (-sinh(1) + i cosh(1)) * sqrt(2)/2 * cosh(z) = (-cosh(1) + i sinh(1)) * sqrt(2)/2 * tanh(z) = (2cosh(1)sinh(1) - i) / (2cosh(1)**2 - 1) */ static const struct { long double a, b; long double sinh_a, sinh_b; long double cosh_a, cosh_b; long double tanh_a, tanh_b; } tests[] = { { 0.5L, 0.78539816339744830961566084581987572L, 0.36847002415910435172083660522240710L, 0.79735196663945774996093142586179334L, 0.79735196663945774996093142586179334L, 0.36847002415910435172083660522240710L, 0.76159415595576488811945828260479359L, 0.64805427366388539957497735322615032L }, { -0.5L, 1.57079632679489661923132169163975144L, 0.0L, 1.12762596520638078522622516140267201L, 0.0L, -0.52109530549374736162242562641149156L, -2.16395341373865284877000401021802312L, 0.0L }, { 1.0L, 2.35619449019234492884698253745962716L, -0.83099273328405698212637979852748608L, 1.09112278079550143030545602018565236L, -1.09112278079550143030545602018565236L, 0.83099273328405698212637979852748609L, 0.96402758007581688394641372410092315L, -0.26580222883407969212086273981988897L } }; long double complex z; unsigned i; for (i = 0; i < nitems(tests); i++) { z = CMPLXL(tests[i].a, tests[i].b); testall_odd_tol(csinh, z, CMPLXL(tests[i].sinh_a, tests[i].sinh_b), 1.1); testall_even_tol(ccosh, z, CMPLXL(tests[i].cosh_a, tests[i].cosh_b), 1.1); testall_odd_tol(ctanh, z, CMPLXL(tests[i].tanh_a, tests[i].tanh_b), 1.4); } } ATF_TC(test_large_inputs); ATF_TC_HEAD(test_large_inputs, tc) { atf_tc_set_md_var(tc, "descr", "Test inputs that might cause overflow in a sloppy implementation"); } ATF_TC_BODY(test_large_inputs, tc) { long double complex z; /* tanh() uses a threshold around x=22, so check both sides. */ z = CMPLXL(21, 0.78539816339744830961566084581987572L); testall_odd_tol(ctanh, z, CMPLXL(1.0, 1.14990445285871196133287617611468468e-18L), 1.2); z++; testall_odd_tol(ctanh, z, CMPLXL(1.0, 1.55622644822675930314266334585597964e-19L), 1); z = CMPLXL(355, 0.78539816339744830961566084581987572L); test_odd_tol(ctanh, z, CMPLXL(1.0, 8.95257245135025991216632140458264468e-309L), DBL_ULP()); z = CMPLXL(30, 0x1p1023L); test_odd_tol(ctanh, z, CMPLXL(1.0, -1.62994325413993477997492170229268382e-26L), DBL_ULP()); z = CMPLXL(1, 0x1p1023L); test_odd_tol(ctanh, z, CMPLXL(0.878606311888306869546254022621986509L, -0.225462792499754505792678258169527424L), DBL_ULP()); z = CMPLXL(710.6, 0.78539816339744830961566084581987572L); test_odd_tol(csinh, z, CMPLXL(1.43917579766621073533185387499658944e308L, 1.43917579766621073533185387499658944e308L), DBL_ULP()); test_even_tol(ccosh, z, CMPLXL(1.43917579766621073533185387499658944e308L, 1.43917579766621073533185387499658944e308L), DBL_ULP()); z = CMPLXL(1500, 0.78539816339744830961566084581987572L); testall_odd(csinh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, FE_OVERFLOW, CS_BOTH); testall_even(ccosh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, FE_OVERFLOW, CS_BOTH); } ATF_TP_ADD_TCS(tp) { ATF_TP_ADD_TC(tp, test_zero_input); ATF_TP_ADD_TC(tp, test_nan_inputs); ATF_TP_ADD_TC(tp, test_inf_inputs); ATF_TP_ADD_TC(tp, test_axes); ATF_TP_ADD_TC(tp, test_small_inputs); ATF_TP_ADD_TC(tp, test_large_inputs); return (atf_no_error()); }