diff options
Diffstat (limited to 'math')
-rw-r--r-- | math/s_cacos_template.c | 58 | ||||
-rw-r--r-- | math/s_cacosh_template.c | 94 | ||||
-rw-r--r-- | math/s_ccos_template.c | 40 | ||||
-rw-r--r-- | math/s_ccosh_template.c | 147 |
4 files changed, 339 insertions, 0 deletions
diff --git a/math/s_cacos_template.c b/math/s_cacos_template.c new file mode 100644 index 0000000..234b122 --- /dev/null +++ b/math/s_cacos_template.c @@ -0,0 +1,58 @@ +/* Return cosine of complex double value. + Copyright (C) 1997-2016 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include <complex.h> +#include <math.h> + +__complex__ double +__cacos (__complex__ double x) +{ + __complex__ double y; + __complex__ double res; + int rcls = fpclassify (__real__ x); + int icls = fpclassify (__imag__ x); + + if (rcls <= FP_INFINITE || icls <= FP_INFINITE + || (rcls == FP_ZERO && icls == FP_ZERO)) + { + y = __casin (x); + + __real__ res = (double) M_PI_2 - __real__ y; + if (__real__ res == 0.0) + __real__ res = 0.0; + __imag__ res = -__imag__ y; + } + else + { + __real__ y = -__imag__ x; + __imag__ y = __real__ x; + + y = __kernel_casinh (y, 1); + + __real__ res = __imag__ y; + __imag__ res = __real__ y; + } + + return res; +} +weak_alias (__cacos, cacos) +#ifdef NO_LONG_DOUBLE +strong_alias (__cacos, __cacosl) +weak_alias (__cacos, cacosl) +#endif diff --git a/math/s_cacosh_template.c b/math/s_cacosh_template.c new file mode 100644 index 0000000..20bf215 --- /dev/null +++ b/math/s_cacosh_template.c @@ -0,0 +1,94 @@ +/* Return arc hyperbole cosine for double value. + Copyright (C) 1997-2016 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include <complex.h> +#include <math.h> +#include <math_private.h> + + +__complex__ double +__cacosh (__complex__ double x) +{ + __complex__ double res; + int rcls = fpclassify (__real__ x); + int icls = fpclassify (__imag__ x); + + if (rcls <= FP_INFINITE || icls <= FP_INFINITE) + { + if (icls == FP_INFINITE) + { + __real__ res = HUGE_VAL; + + if (rcls == FP_NAN) + __imag__ res = __nan (""); + else + __imag__ res = __copysign ((rcls == FP_INFINITE + ? (__real__ x < 0.0 + ? M_PI - M_PI_4 : M_PI_4) + : M_PI_2), __imag__ x); + } + else if (rcls == FP_INFINITE) + { + __real__ res = HUGE_VAL; + + if (icls >= FP_ZERO) + __imag__ res = __copysign (signbit (__real__ x) ? M_PI : 0.0, + __imag__ x); + else + __imag__ res = __nan (""); + } + else + { + __real__ res = __nan (""); + __imag__ res = __nan (""); + } + } + else if (rcls == FP_ZERO && icls == FP_ZERO) + { + __real__ res = 0.0; + __imag__ res = __copysign (M_PI_2, __imag__ x); + } + else + { + __complex__ double y; + + __real__ y = -__imag__ x; + __imag__ y = __real__ x; + + y = __kernel_casinh (y, 1); + + if (signbit (__imag__ x)) + { + __real__ res = __real__ y; + __imag__ res = -__imag__ y; + } + else + { + __real__ res = -__real__ y; + __imag__ res = __imag__ y; + } + } + + return res; +} +weak_alias (__cacosh, cacosh) +#ifdef NO_LONG_DOUBLE +strong_alias (__cacosh, __cacoshl) +weak_alias (__cacosh, cacoshl) +#endif diff --git a/math/s_ccos_template.c b/math/s_ccos_template.c new file mode 100644 index 0000000..e484551 --- /dev/null +++ b/math/s_ccos_template.c @@ -0,0 +1,40 @@ +/* Return cosine of complex double value. + Copyright (C) 1997-2016 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include <complex.h> +#include <fenv.h> +#include <math.h> +#include <math_private.h> + + +__complex__ double +__ccos (__complex__ double x) +{ + __complex__ double y; + + __real__ y = -__imag__ x; + __imag__ y = __real__ x; + + return __ccosh (y); +} +weak_alias (__ccos, ccos) +#ifdef NO_LONG_DOUBLE +strong_alias (__ccos, __ccosl) +weak_alias (__ccos, ccosl) +#endif diff --git a/math/s_ccosh_template.c b/math/s_ccosh_template.c new file mode 100644 index 0000000..4c2f300 --- /dev/null +++ b/math/s_ccosh_template.c @@ -0,0 +1,147 @@ +/* Complex cosine hyperbole function for double. + Copyright (C) 1997-2016 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include <complex.h> +#include <fenv.h> +#include <math.h> +#include <math_private.h> +#include <float.h> + +__complex__ double +__ccosh (__complex__ double x) +{ + __complex__ double retval; + int rcls = fpclassify (__real__ x); + int icls = fpclassify (__imag__ x); + + if (__glibc_likely (rcls >= FP_ZERO)) + { + /* Real part is finite. */ + if (__glibc_likely (icls >= FP_ZERO)) + { + /* Imaginary part is finite. */ + const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2); + double sinix, cosix; + + if (__glibc_likely (fabs (__imag__ x) > DBL_MIN)) + { + __sincos (__imag__ x, &sinix, &cosix); + } + else + { + sinix = __imag__ x; + cosix = 1.0; + } + + if (fabs (__real__ x) > t) + { + double exp_t = __ieee754_exp (t); + double rx = fabs (__real__ x); + if (signbit (__real__ x)) + sinix = -sinix; + rx -= t; + sinix *= exp_t / 2.0; + cosix *= exp_t / 2.0; + if (rx > t) + { + rx -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (rx > t) + { + /* Overflow (original real part of x > 3t). */ + __real__ retval = DBL_MAX * cosix; + __imag__ retval = DBL_MAX * sinix; + } + else + { + double exp_val = __ieee754_exp (rx); + __real__ retval = exp_val * cosix; + __imag__ retval = exp_val * sinix; + } + } + else + { + __real__ retval = __ieee754_cosh (__real__ x) * cosix; + __imag__ retval = __ieee754_sinh (__real__ x) * sinix; + } + + math_check_force_underflow_complex (retval); + } + else + { + __imag__ retval = __real__ x == 0.0 ? 0.0 : __nan (""); + __real__ retval = __nan ("") + __nan (""); + + if (icls == FP_INFINITE) + feraiseexcept (FE_INVALID); + } + } + else if (rcls == FP_INFINITE) + { + /* Real part is infinite. */ + if (__glibc_likely (icls > FP_ZERO)) + { + /* Imaginary part is finite. */ + double sinix, cosix; + + if (__glibc_likely (fabs (__imag__ x) > DBL_MIN)) + { + __sincos (__imag__ x, &sinix, &cosix); + } + else + { + sinix = __imag__ x; + cosix = 1.0; + } + + __real__ retval = __copysign (HUGE_VAL, cosix); + __imag__ retval = (__copysign (HUGE_VAL, sinix) + * __copysign (1.0, __real__ x)); + } + else if (icls == FP_ZERO) + { + /* Imaginary part is 0.0. */ + __real__ retval = HUGE_VAL; + __imag__ retval = __imag__ x * __copysign (1.0, __real__ x); + } + else + { + /* The addition raises the invalid exception. */ + __real__ retval = HUGE_VAL; + __imag__ retval = __nan ("") + __nan (""); + + if (icls == FP_INFINITE) + feraiseexcept (FE_INVALID); + } + } + else + { + __real__ retval = __nan (""); + __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nan (""); + } + + return retval; +} +weak_alias (__ccosh, ccosh) +#ifdef NO_LONG_DOUBLE +strong_alias (__ccosh, __ccoshl) +weak_alias (__ccosh, ccoshl) +#endif |