diff options
| -rw-r--r-- | ChangeLog | 7 | ||||
| -rw-r--r-- | math/s_catan_template.c | 143 | ||||
| -rw-r--r-- | math/s_catanh_template.c | 137 | ||||
| -rw-r--r-- | math/s_ctan_template.c | 129 | ||||
| -rw-r--r-- | math/s_ctanh_template.c | 129 |
5 files changed, 545 insertions, 0 deletions
diff --git a/ChangeLog b/ChangeLog index 18ae1c3dda..4ae38e36f6 100644 --- a/ChangeLog +++ b/ChangeLog @@ -1,5 +1,12 @@ 2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com> + * s_catan_template.c: Copy of s_catan.c. + * s_catanh_template.c: Copy of s_catanh.c. + * s_ctan_template.c: Copy of s_ctan.c. + * s_ctanh_template.c: Copy of s_ctanh.c. + +2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com> + * math/Makefile (gen-libm-calls): Move casin, casinh, csin, csinh here. (libm-calls): Remove the above. diff --git a/math/s_catan_template.c b/math/s_catan_template.c new file mode 100644 index 0000000000..5ab4c0d635 --- /dev/null +++ b/math/s_catan_template.c @@ -0,0 +1,143 @@ +/* Return arc tangent 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> +#include <math_private.h> +#include <float.h> + +__complex__ double +__catan (__complex__ double x) +{ + __complex__ double res; + int rcls = fpclassify (__real__ x); + int icls = fpclassify (__imag__ x); + + if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE)) + { + if (rcls == FP_INFINITE) + { + __real__ res = __copysign (M_PI_2, __real__ x); + __imag__ res = __copysign (0.0, __imag__ x); + } + else if (icls == FP_INFINITE) + { + if (rcls >= FP_ZERO) + __real__ res = __copysign (M_PI_2, __real__ x); + else + __real__ res = __nan (""); + __imag__ res = __copysign (0.0, __imag__ x); + } + else if (icls == FP_ZERO || icls == FP_INFINITE) + { + __real__ res = __nan (""); + __imag__ res = __copysign (0.0, __imag__ x); + } + else + { + __real__ res = __nan (""); + __imag__ res = __nan (""); + } + } + else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO)) + { + res = x; + } + else + { + if (fabs (__real__ x) >= 16.0 / DBL_EPSILON + || fabs (__imag__ x) >= 16.0 / DBL_EPSILON) + { + __real__ res = __copysign (M_PI_2, __real__ x); + if (fabs (__real__ x) <= 1.0) + __imag__ res = 1.0 / __imag__ x; + else if (fabs (__imag__ x) <= 1.0) + __imag__ res = __imag__ x / __real__ x / __real__ x; + else + { + double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0); + __imag__ res = __imag__ x / h / h / 4.0; + } + } + else + { + double den, absx, absy; + + absx = fabs (__real__ x); + absy = fabs (__imag__ x); + if (absx < absy) + { + double t = absx; + absx = absy; + absy = t; + } + + if (absy < DBL_EPSILON / 2.0) + { + den = (1.0 - absx) * (1.0 + absx); + if (den == -0.0) + den = 0.0; + } + else if (absx >= 1.0) + den = (1.0 - absx) * (1.0 + absx) - absy * absy; + else if (absx >= 0.75 || absy >= 0.5) + den = -__x2y2m1 (absx, absy); + else + den = (1.0 - absx) * (1.0 + absx) - absy * absy; + + __real__ res = 0.5 * __ieee754_atan2 (2.0 * __real__ x, den); + + if (fabs (__imag__ x) == 1.0 + && fabs (__real__ x) < DBL_EPSILON * DBL_EPSILON) + __imag__ res = (__copysign (0.5, __imag__ x) + * (M_LN2 - __ieee754_log (fabs (__real__ x)))); + else + { + double r2 = 0.0, num, f; + + if (fabs (__real__ x) >= DBL_EPSILON * DBL_EPSILON) + r2 = __real__ x * __real__ x; + + num = __imag__ x + 1.0; + num = r2 + num * num; + + den = __imag__ x - 1.0; + den = r2 + den * den; + + f = num / den; + if (f < 0.5) + __imag__ res = 0.25 * __ieee754_log (f); + else + { + num = 4.0 * __imag__ x; + __imag__ res = 0.25 * __log1p (num / den); + } + } + } + + math_check_force_underflow_complex (res); + } + + return res; +} +weak_alias (__catan, catan) +#ifdef NO_LONG_DOUBLE +strong_alias (__catan, __catanl) +weak_alias (__catan, catanl) +#endif diff --git a/math/s_catanh_template.c b/math/s_catanh_template.c new file mode 100644 index 0000000000..11ea06246e --- /dev/null +++ b/math/s_catanh_template.c @@ -0,0 +1,137 @@ +/* Return arc hyperbole tangent 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> +#include <float.h> + +__complex__ double +__catanh (__complex__ double x) +{ + __complex__ double res; + int rcls = fpclassify (__real__ x); + int icls = fpclassify (__imag__ x); + + if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE)) + { + if (icls == FP_INFINITE) + { + __real__ res = __copysign (0.0, __real__ x); + __imag__ res = __copysign (M_PI_2, __imag__ x); + } + else if (rcls == FP_INFINITE || rcls == FP_ZERO) + { + __real__ res = __copysign (0.0, __real__ x); + if (icls >= FP_ZERO) + __imag__ res = __copysign (M_PI_2, __imag__ x); + else + __imag__ res = __nan (""); + } + else + { + __real__ res = __nan (""); + __imag__ res = __nan (""); + } + } + else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO)) + { + res = x; + } + else + { + if (fabs (__real__ x) >= 16.0 / DBL_EPSILON + || fabs (__imag__ x) >= 16.0 / DBL_EPSILON) + { + __imag__ res = __copysign (M_PI_2, __imag__ x); + if (fabs (__imag__ x) <= 1.0) + __real__ res = 1.0 / __real__ x; + else if (fabs (__real__ x) <= 1.0) + __real__ res = __real__ x / __imag__ x / __imag__ x; + else + { + double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0); + __real__ res = __real__ x / h / h / 4.0; + } + } + else + { + if (fabs (__real__ x) == 1.0 + && fabs (__imag__ x) < DBL_EPSILON * DBL_EPSILON) + __real__ res = (__copysign (0.5, __real__ x) + * (M_LN2 - __ieee754_log (fabs (__imag__ x)))); + else + { + double i2 = 0.0; + if (fabs (__imag__ x) >= DBL_EPSILON * DBL_EPSILON) + i2 = __imag__ x * __imag__ x; + + double num = 1.0 + __real__ x; + num = i2 + num * num; + + double den = 1.0 - __real__ x; + den = i2 + den * den; + + double f = num / den; + if (f < 0.5) + __real__ res = 0.25 * __ieee754_log (f); + else + { + num = 4.0 * __real__ x; + __real__ res = 0.25 * __log1p (num / den); + } + } + + double absx, absy, den; + + absx = fabs (__real__ x); + absy = fabs (__imag__ x); + if (absx < absy) + { + double t = absx; + absx = absy; + absy = t; + } + + if (absy < DBL_EPSILON / 2.0) + { + den = (1.0 - absx) * (1.0 + absx); + if (den == -0.0) + den = 0.0; + } + else if (absx >= 1.0) + den = (1.0 - absx) * (1.0 + absx) - absy * absy; + else if (absx >= 0.75 || absy >= 0.5) + den = -__x2y2m1 (absx, absy); + else + den = (1.0 - absx) * (1.0 + absx) - absy * absy; + + __imag__ res = 0.5 * __ieee754_atan2 (2.0 * __imag__ x, den); + } + + math_check_force_underflow_complex (res); + } + + return res; +} +weak_alias (__catanh, catanh) +#ifdef NO_LONG_DOUBLE +strong_alias (__catanh, __catanhl) +weak_alias (__catanh, catanhl) +#endif diff --git a/math/s_ctan_template.c b/math/s_ctan_template.c new file mode 100644 index 0000000000..8e8bf2ee2b --- /dev/null +++ b/math/s_ctan_template.c @@ -0,0 +1,129 @@ +/* Complex tangent 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 +__ctan (__complex__ double x) +{ + __complex__ double res; + + if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x))) + { + if (isinf (__imag__ x)) + { + if (isfinite (__real__ x) && fabs (__real__ x) > 1.0) + { + double sinrx, cosrx; + __sincos (__real__ x, &sinrx, &cosrx); + __real__ res = __copysign (0.0, sinrx * cosrx); + } + else + __real__ res = __copysign (0.0, __real__ x); + __imag__ res = __copysign (1.0, __imag__ x); + } + else if (__real__ x == 0.0) + { + res = x; + } + else + { + __real__ res = __nan (""); + __imag__ res = __nan (""); + + if (isinf (__real__ x)) + feraiseexcept (FE_INVALID); + } + } + else + { + double sinrx, cosrx; + double den; + const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2); + + /* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y)) + = (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */ + + if (__glibc_likely (fabs (__real__ x) > DBL_MIN)) + { + __sincos (__real__ x, &sinrx, &cosrx); + } + else + { + sinrx = __real__ x; + cosrx = 1.0; + } + + if (fabs (__imag__ x) > t) + { + /* Avoid intermediate overflow when the real part of the + result may be subnormal. Ignoring negligible terms, the + imaginary part is +/- 1, the real part is + sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */ + double exp_2t = __ieee754_exp (2 * t); + + __imag__ res = __copysign (1.0, __imag__ x); + __real__ res = 4 * sinrx * cosrx; + __imag__ x = fabs (__imag__ x); + __imag__ x -= t; + __real__ res /= exp_2t; + if (__imag__ x > t) + { + /* Underflow (original imaginary part of x has absolute + value > 2t). */ + __real__ res /= exp_2t; + } + else + __real__ res /= __ieee754_exp (2 * __imag__ x); + } + else + { + double sinhix, coshix; + if (fabs (__imag__ x) > DBL_MIN) + { + sinhix = __ieee754_sinh (__imag__ x); + coshix = __ieee754_cosh (__imag__ x); + } + else + { + sinhix = __imag__ x; + coshix = 1.0; + } + + if (fabs (sinhix) > fabs (cosrx) * DBL_EPSILON) + den = cosrx * cosrx + sinhix * sinhix; + else + den = cosrx * cosrx; + __real__ res = sinrx * cosrx / den; + __imag__ res = sinhix * coshix / den; + } + math_check_force_underflow_complex (res); + } + + return res; +} +weak_alias (__ctan, ctan) +#ifdef NO_LONG_DOUBLE +strong_alias (__ctan, __ctanl) +weak_alias (__ctan, ctanl) +#endif diff --git a/math/s_ctanh_template.c b/math/s_ctanh_template.c new file mode 100644 index 0000000000..2d18875c70 --- /dev/null +++ b/math/s_ctanh_template.c @@ -0,0 +1,129 @@ +/* Complex hyperbole tangent 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 +__ctanh (__complex__ double x) +{ + __complex__ double res; + + if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x))) + { + if (isinf (__real__ x)) + { + __real__ res = __copysign (1.0, __real__ x); + if (isfinite (__imag__ x) && fabs (__imag__ x) > 1.0) + { + double sinix, cosix; + __sincos (__imag__ x, &sinix, &cosix); + __imag__ res = __copysign (0.0, sinix * cosix); + } + else + __imag__ res = __copysign (0.0, __imag__ x); + } + else if (__imag__ x == 0.0) + { + res = x; + } + else + { + __real__ res = __nan (""); + __imag__ res = __nan (""); + + if (isinf (__imag__ x)) + feraiseexcept (FE_INVALID); + } + } + else + { + double sinix, cosix; + double den; + const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2); + + /* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y)) + = (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */ + + 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) + { + /* Avoid intermediate overflow when the imaginary part of + the result may be subnormal. Ignoring negligible terms, + the real part is +/- 1, the imaginary part is + sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */ + double exp_2t = __ieee754_exp (2 * t); + + __real__ res = __copysign (1.0, __real__ x); + __imag__ res = 4 * sinix * cosix; + __real__ x = fabs (__real__ x); + __real__ x -= t; + __imag__ res /= exp_2t; + if (__real__ x > t) + { + /* Underflow (original real part of x has absolute value + > 2t). */ + __imag__ res /= exp_2t; + } + else + __imag__ res /= __ieee754_exp (2 * __real__ x); + } + else + { + double sinhrx, coshrx; + if (fabs (__real__ x) > DBL_MIN) + { + sinhrx = __ieee754_sinh (__real__ x); + coshrx = __ieee754_cosh (__real__ x); + } + else + { + sinhrx = __real__ x; + coshrx = 1.0; + } + + if (fabs (sinhrx) > fabs (cosix) * DBL_EPSILON) + den = sinhrx * sinhrx + cosix * cosix; + else + den = cosix * cosix; + __real__ res = sinhrx * coshrx / den; + __imag__ res = sinix * cosix / den; + } + math_check_force_underflow_complex (res); + } + + return res; +} +weak_alias (__ctanh, ctanh) +#ifdef NO_LONG_DOUBLE +strong_alias (__ctanh, __ctanhl) +weak_alias (__ctanh, ctanhl) +#endif |