diff options
| -rw-r--r-- | ChangeLog | 10 | ||||
| -rw-r--r-- | sysdeps/ieee754/flt-32/s_sincosf.h | 71 | ||||
| -rw-r--r-- | sysdeps/ieee754/flt-32/sincosf_poly.h | 87 | ||||
| -rw-r--r-- | sysdeps/x86/fpu/s_sincosf_data.c | 68 | ||||
| -rw-r--r-- | sysdeps/x86/fpu/sincosf_poly.h | 111 | ||||
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/s_sincosf-fma.c | 271 |
6 files changed, 278 insertions, 340 deletions
@@ -1,3 +1,13 @@ +2018-12-26 H.J. Lu <hongjiu.lu@intel.com> + + * sysdeps/ieee754/flt-32/s_sincosf.h: Include <sincosf_poly.h>. + (sincos_t, sincosf_poly, sinf_poly): Moved to ... + * sysdeps/ieee754/flt-32/sincosf_poly.h: Here. New file. + * sysdeps/x86/fpu/s_sincosf_data.c: New file. + * sysdeps/x86/fpu/sincosf_poly.h: Likewise. + * sysdeps/x86_64/fpu/multiarch/s_sincosf-fma.c: Just include + <sysdeps/ieee754/flt-32/s_sincosf.c>. + 2018-12-21 Joseph Myers <joseph@codesourcery.com> [BZ #24023] diff --git a/sysdeps/ieee754/flt-32/s_sincosf.h b/sysdeps/ieee754/flt-32/s_sincosf.h index 1dcb04f235..54a9da543b 100644 --- a/sysdeps/ieee754/flt-32/s_sincosf.h +++ b/sysdeps/ieee754/flt-32/s_sincosf.h @@ -19,22 +19,13 @@ #include <stdint.h> #include <math.h> #include "math_config.h" +#include <sincosf_poly.h> /* 2PI * 2^-64. */ static const double pi63 = 0x1.921FB54442D18p-62; /* PI / 4. */ static const double pio4 = 0x1.921FB54442D18p-1; -/* The constants and polynomials for sine and cosine. */ -typedef struct -{ - double sign[4]; /* Sign of sine in quadrants 0..3. */ - double hpi_inv; /* 2 / PI ( * 2^24 if !TOINT_INTRINSICS). */ - double hpi; /* PI / 2. */ - double c0, c1, c2, c3, c4; /* Cosine polynomial. */ - double s1, s2, s3; /* Sine polynomial. */ -} sincos_t; - /* Polynomial data (the cosine polynomial is negated in the 2nd entry). */ extern const sincos_t __sincosf_table[2] attribute_hidden; @@ -48,66 +39,6 @@ abstop12 (float x) return (asuint (x) >> 20) & 0x7ff; } -/* Compute the sine and cosine of inputs X and X2 (X squared), using the - polynomial P and store the results in SINP and COSP. N is the quadrant, - if odd the cosine and sine polynomials are swapped. */ -static inline void -sincosf_poly (double x, double x2, const sincos_t *p, int n, float *sinp, - float *cosp) -{ - double x3, x4, x5, x6, s, c, c1, c2, s1; - - x4 = x2 * x2; - x3 = x2 * x; - c2 = p->c3 + x2 * p->c4; - s1 = p->s2 + x2 * p->s3; - - /* Swap sin/cos result based on quadrant. */ - float *tmp = (n & 1 ? cosp : sinp); - cosp = (n & 1 ? sinp : cosp); - sinp = tmp; - - c1 = p->c0 + x2 * p->c1; - x5 = x3 * x2; - x6 = x4 * x2; - - s = x + x3 * p->s1; - c = c1 + x4 * p->c2; - - *sinp = s + x5 * s1; - *cosp = c + x6 * c2; -} - -/* Return the sine of inputs X and X2 (X squared) using the polynomial P. - N is the quadrant, and if odd the cosine polynomial is used. */ -static inline float -sinf_poly (double x, double x2, const sincos_t *p, int n) -{ - double x3, x4, x6, x7, s, c, c1, c2, s1; - - if ((n & 1) == 0) - { - x3 = x * x2; - s1 = p->s2 + x2 * p->s3; - - x7 = x3 * x2; - s = x + x3 * p->s1; - - return s + x7 * s1; - } - else - { - x4 = x2 * x2; - c2 = p->c3 + x2 * p->c4; - c1 = p->c0 + x2 * p->c1; - - x6 = x4 * x2; - c = c1 + x4 * p->c2; - - return c + x6 * c2; - } -} - /* Fast range reduction using single multiply-subtract. Return the modulo of X as a value between -PI/4 and PI/4 and store the quadrant in NP. The values for PI/2 and 2/PI are accessed via P. Since PI/2 as a double diff --git a/sysdeps/ieee754/flt-32/sincosf_poly.h b/sysdeps/ieee754/flt-32/sincosf_poly.h new file mode 100644 index 0000000000..f49c75ad78 --- /dev/null +++ b/sysdeps/ieee754/flt-32/sincosf_poly.h @@ -0,0 +1,87 @@ +/* Used by sinf, cosf and sincosf functions. + Copyright (C) 2018 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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/>. */ + +/* The constants and polynomials for sine and cosine. */ +typedef struct +{ + double sign[4]; /* Sign of sine in quadrants 0..3. */ + double hpi_inv; /* 2 / PI ( * 2^24 if !TOINT_INTRINSICS). */ + double hpi; /* PI / 2. */ + double c0, c1, c2, c3, c4; /* Cosine polynomial. */ + double s1, s2, s3; /* Sine polynomial. */ +} sincos_t; + +/* Compute the sine and cosine of inputs X and X2 (X squared), using the + polynomial P and store the results in SINP and COSP. N is the quadrant, + if odd the cosine and sine polynomials are swapped. */ +static inline void +sincosf_poly (double x, double x2, const sincos_t *p, int n, float *sinp, + float *cosp) +{ + double x3, x4, x5, x6, s, c, c1, c2, s1; + + x4 = x2 * x2; + x3 = x2 * x; + c2 = p->c3 + x2 * p->c4; + s1 = p->s2 + x2 * p->s3; + + /* Swap sin/cos result based on quadrant. */ + float *tmp = (n & 1 ? cosp : sinp); + cosp = (n & 1 ? sinp : cosp); + sinp = tmp; + + c1 = p->c0 + x2 * p->c1; + x5 = x3 * x2; + x6 = x4 * x2; + + s = x + x3 * p->s1; + c = c1 + x4 * p->c2; + + *sinp = s + x5 * s1; + *cosp = c + x6 * c2; +} + +/* Return the sine of inputs X and X2 (X squared) using the polynomial P. + N is the quadrant, and if odd the cosine polynomial is used. */ +static inline float +sinf_poly (double x, double x2, const sincos_t *p, int n) +{ + double x3, x4, x6, x7, s, c, c1, c2, s1; + + if ((n & 1) == 0) + { + x3 = x * x2; + s1 = p->s2 + x2 * p->s3; + + x7 = x3 * x2; + s = x + x3 * p->s1; + + return s + x7 * s1; + } + else + { + x4 = x2 * x2; + c2 = p->c3 + x2 * p->c4; + c1 = p->c0 + x2 * p->c1; + + x6 = x4 * x2; + c = c1 + x4 * p->c2; + + return c + x6 * c2; + } +} diff --git a/sysdeps/x86/fpu/s_sincosf_data.c b/sysdeps/x86/fpu/s_sincosf_data.c new file mode 100644 index 0000000000..b219644884 --- /dev/null +++ b/sysdeps/x86/fpu/s_sincosf_data.c @@ -0,0 +1,68 @@ +/* Compute sine and cosine of argument. + Copyright (C) 2018 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <stdint.h> +#include <math.h> +#include <sysdeps/ieee754/flt-32/math_config.h> +#include <s_sincosf.h> + +/* The constants and polynomials for sine and cosine. The 2nd entry + computes -cos (x) rather than cos (x) to get negation for free. */ +const sincos_t __sincosf_table[2] = +{ + { + { 1.0, -1.0, -1.0, 1.0 }, +#if TOINT_INTRINSICS + 0x1.45F306DC9C883p-1, +#else + 0x1.45F306DC9C883p+23, +#endif + 0x1.921FB54442D18p0, + 0x1p0, + -0x1.ffffffd0c621cp-2, + { -0x1.555545995a603p-3, 0x1.55553e1068f19p-5 }, + { 0x1.1107605230bc4p-7, -0x1.6c087e89a359dp-10 }, + { -0x1.994eb3774cf24p-13, 0x1.99343027bf8c3p-16 } + }, + { + { 1.0, -1.0, -1.0, 1.0 }, +#if TOINT_INTRINSICS + 0x1.45F306DC9C883p-1, +#else + 0x1.45F306DC9C883p+23, +#endif + 0x1.921FB54442D18p0, + -0x1p0, + 0x1.ffffffd0c621cp-2, + { -0x1.555545995a603p-3, -0x1.55553e1068f19p-5 }, + { 0x1.1107605230bc4p-7, 0x1.6c087e89a359dp-10 }, + { -0x1.994eb3774cf24p-13, -0x1.99343027bf8c3p-16 } + } +}; + +/* Table with 4/PI to 192 bit precision. To avoid unaligned accesses + only 8 new bits are added per entry, making the table 4 times larger. */ +const uint32_t __inv_pio4[24] = +{ + 0xa2, 0xa2f9, 0xa2f983, 0xa2f9836e, + 0xf9836e4e, 0x836e4e44, 0x6e4e4415, 0x4e441529, + 0x441529fc, 0x1529fc27, 0x29fc2757, 0xfc2757d1, + 0x2757d1f5, 0x57d1f534, 0xd1f534dd, 0xf534ddc0, + 0x34ddc0db, 0xddc0db62, 0xc0db6295, 0xdb629599, + 0x6295993c, 0x95993c43, 0x993c4390, 0x3c439041 +}; diff --git a/sysdeps/x86/fpu/sincosf_poly.h b/sysdeps/x86/fpu/sincosf_poly.h new file mode 100644 index 0000000000..396ba8993d --- /dev/null +++ b/sysdeps/x86/fpu/sincosf_poly.h @@ -0,0 +1,111 @@ +/* Used by sinf, cosf and sincosf functions. X86-64 version. + Copyright (C) 2018 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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/>. */ + +typedef double v2df_t __attribute__ ((vector_size (2 * sizeof (double)))); + +#ifdef __SSE2_MATH__ +typedef float v4sf_t __attribute__ ((vector_size (4 * sizeof (float)))); + +static inline void +v2df_to_sf (v2df_t v2df, float *f0p, float *f1p) +{ + v4sf_t v4sf = __builtin_ia32_cvtpd2ps (v2df); + *f0p = v4sf[0]; + *f1p = v4sf[1]; +} +#else +static inline void +v2df_to_sf (v2df_t v2df, float *f0p, float *f1p) +{ + *f0p = (float) v2df[0]; + *f1p = (float) v2df[1]; +} +#endif + +/* The constants and polynomials for sine and cosine. */ +typedef struct +{ + double sign[4]; /* Sign of sine in quadrants 0..3. */ + double hpi_inv; /* 2 / PI ( * 2^24 if !TOINT_INTRINSICS). */ + double hpi; /* PI / 2. */ + /* Cosine polynomial: c0, c1, c2, c3, c4. + Sine polynomial: s1, s2, s3. */ + double c0, c1; + v2df_t s1c2, s2c3, s3c4; +} sincos_t; + +/* Compute the sine and cosine of inputs X and X2 (X squared), using the + polynomial P and store the results in SINP and COSP. N is the quadrant, + if odd the cosine and sine polynomials are swapped. */ +static inline void +sincosf_poly (double x, double x2, const sincos_t *p, int n, float *sinp, + float *cosp) +{ + v2df_t vx2x2 = { x2, x2 }; + v2df_t vxx2 = { x, x2 }; + v2df_t vx3x4, vs1c2; + + vx3x4 = vx2x2 * vxx2; + vs1c2 = p->s2c3 + vx2x2 * p->s3c4; + + /* Swap sin/cos result based on quadrant. */ + if (n & 1) + { + float *tmp = cosp; + cosp = sinp; + sinp = tmp; + } + + double c1 = p->c0 + x2 * p->c1; + v2df_t vxc1 = { x, c1 }; + v2df_t vx5x6 = vx3x4 * vx2x2; + + v2df_t vsincos = vxc1 + vx3x4 * p->s1c2; + vsincos = vsincos + vx5x6 * vs1c2; + v2df_to_sf (vsincos, sinp, cosp); +} + +/* Return the sine of inputs X and X2 (X squared) using the polynomial P. + N is the quadrant, and if odd the cosine polynomial is used. */ +static inline float +sinf_poly (double x, double x2, const sincos_t *p, int n) +{ + double x3, x4, x6, x7, s, c, c1, c2, s1; + + if ((n & 1) == 0) + { + x3 = x * x2; + s1 = p->s2c3[0] + x2 * p->s3c4[0]; + + x7 = x3 * x2; + s = x + x3 * p->s1c2[0]; + + return s + x7 * s1; + } + else + { + x4 = x2 * x2; + c2 = p->s2c3[1] + x2 * p->s3c4[1]; + c1 = p->c0 + x2 * p->c1; + + x6 = x4 * x2; + c = c1 + x4 * p->s1c2[1]; + + return c + x6 * c2; + } +} diff --git a/sysdeps/x86_64/fpu/multiarch/s_sincosf-fma.c b/sysdeps/x86_64/fpu/multiarch/s_sincosf-fma.c index 0b80c4fe0d..253dab15d8 100644 --- a/sysdeps/x86_64/fpu/multiarch/s_sincosf-fma.c +++ b/sysdeps/x86_64/fpu/multiarch/s_sincosf-fma.c @@ -1,271 +1,2 @@ -/* Compute sine and cosine of argument optimized with vector. - Copyright (C) 2017 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - 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 <errno.h> -#include <math.h> -#include <math_private.h> -#include <x86intrin.h> -#include <libm-alias-float.h> - #define SINCOSF __sincosf_fma - -#ifndef SINCOSF -# define SINCOSF_FUNC __sincosf -#else -# define SINCOSF_FUNC SINCOSF -#endif - -/* PI/2 with 98 bits of accuracy. */ -static const double PI_2_hi = 0x1.921fb544p+0; -static const double PI_2_lo = 0x1.0b4611a626332p-34; - -static const double SMALL = 0x1p-50; /* 2^-50. */ -static const double inv_PI_4 = 0x1.45f306dc9c883p+0; /* 4/PI. */ - -#define FLOAT_EXPONENT_SHIFT 23 -#define FLOAT_EXPONENT_BIAS 127 - -static const double pio2_table[] = { - 0 * M_PI_2, - 1 * M_PI_2, - 2 * M_PI_2, - 3 * M_PI_2, - 4 * M_PI_2, - 5 * M_PI_2 -}; - -static const double invpio4_table[] = { - 0x0p+0, - 0x1.45f306cp+0, - 0x1.c9c882ap-28, - 0x1.4fe13a8p-58, - 0x1.f47d4dp-85, - 0x1.bb81b6cp-112, - 0x1.4acc9ep-142, - 0x1.0e4107cp-169 -}; - -static const double ones[] = { 1.0, -1.0 }; - -/* Chebyshev constants for sin and cos, range -PI/4 - PI/4. */ -static const __v2df V0 = { -0x1.5555555551cd9p-3, -0x1.ffffffffe98aep-2}; -static const __v2df V1 = { 0x1.1111110c2688bp-7, 0x1.55555545c50c7p-5 }; -static const __v2df V2 = { -0x1.a019f8b4bd1f9p-13, -0x1.6c16b348b6874p-10 }; -static const __v2df V3 = { 0x1.71d7264e6b5b4p-19, 0x1.a00eb9ac43ccp-16 }; -static const __v2df V4 = { -0x1.a947e1674b58ap-26, -0x1.23c97dd8844d7p-22 }; - -/* Chebyshev constants for sin and cos, range 2^-27 - 2^-5. */ -static const __v2df VC0 = { -0x1.555555543d49dp-3, -0x1.fffffff5cc6fdp-2 }; -static const __v2df VC1 = { 0x1.110f475cec8c5p-7, 0x1.55514b178dac5p-5 }; - -static const __v2df v2ones = { 1.0, 1.0 }; - -/* Compute the sine and cosine values using Chebyshev polynomials where - THETA is the range reduced absolute value of the input - and it is less than Pi/4, - N is calculated as trunc(|x|/(Pi/4)) + 1 and it is used to decide - whether a sine or cosine approximation is more accurate and - SIGNBIT is used to add the correct sign after the Chebyshev - polynomial is computed. */ -static void -reduced_sincos (const double theta, const unsigned int n, - const unsigned int signbit, float *sinx, float *cosx) -{ - __v2df v2x, v2sx, v2cx; - const __v2df v2theta = { theta, theta }; - const __v2df v2theta2 = v2theta * v2theta; - /* Here sinf() and cosf() are calculated using sin Chebyshev polynomial: - x+x^3*(S0+x^2*(S1+x^2*(S2+x^2*(S3+x^2*S4)))). */ - v2x = V3 + v2theta2 * V4; /* S3+x^2*S4. */ - v2x = V2 + v2theta2 * v2x; /* S2+x^2*(S3+x^2*S4). */ - v2x = V1 + v2theta2 * v2x; /* S1+x^2*(S2+x^2*(S3+x^2*S4)). */ - v2x = V0 + v2theta2 * v2x; /* S0+x^2*(S1+x^2*(S2+x^2*(S3+x^2*S4))). */ - v2x = v2theta2 * v2x; - v2cx = v2ones + v2x; - v2sx = v2theta + v2theta * v2x; - /* We are operating on |x|, so we need to add back the original - signbit for sinf. */ - /* Determine positive or negative primary interval. */ - /* Are we in the primary interval of sin or cos? */ - if ((n & 2) == 0) - { - const __v2df v2sign = - { - ones[((n >> 2) & 1) ^ signbit], - ones[((n + 2) >> 2) & 1] - }; - v2cx[0] = v2sx[0]; - v2cx *= v2sign; - __v4sf v4sx = _mm_cvtpd_ps (v2cx); - *sinx = v4sx[0]; - *cosx = v4sx[1]; - } - else - { - const __v2df v2sign = - { - ones[((n + 2) >> 2) & 1], - ones[((n >> 2) & 1) ^ signbit] - }; - v2cx[0] = v2sx[0]; - v2cx *= v2sign; - __v4sf v4sx = _mm_cvtpd_ps (v2cx); - *sinx = v4sx[1]; - *cosx = v4sx[0]; - } -} - -void -SINCOSF_FUNC (float x, float *sinx, float *cosx) -{ - double theta = x; - double abstheta = fabs (theta); - uint32_t ix, xi; - GET_FLOAT_WORD (xi, x); - /* |x| */ - ix = xi & 0x7fffffff; - /* If |x|< Pi/4. */ - if (ix < 0x3f490fdb) - { - if (ix >= 0x3d000000) /* |x| >= 2^-5. */ - { - __v2df v2x, v2sx, v2cx; - const __v2df v2theta = { theta, theta }; - const __v2df v2theta2 = v2theta * v2theta; - /* Chebyshev polynomial of the form for sin and cos. */ - v2x = V3 + v2theta2 * V4; - v2x = V2 + v2theta2 * v2x; - v2x = V1 + v2theta2 * v2x; - v2x = V0 + v2theta2 * v2x; - v2x = v2theta2 * v2x; - v2cx = v2ones + v2x; - v2sx = v2theta + v2theta * v2x; - v2cx[0] = v2sx[0]; - __v4sf v4sx = _mm_cvtpd_ps (v2cx); - *sinx = v4sx[0]; - *cosx = v4sx[1]; - } - else if (ix >= 0x32000000) /* |x| >= 2^-27. */ - { - /* A simpler Chebyshev approximation is close enough for this range: - for sin: x+x^3*(SS0+x^2*SS1) - for cos: 1.0+x^2*(CC0+x^3*CC1). */ - __v2df v2x, v2sx, v2cx; - const __v2df v2theta = { theta, theta }; - const __v2df v2theta2 = v2theta * v2theta; - v2x = VC0 + v2theta * v2theta2 * VC1; - v2x = v2theta2 * v2x; - v2cx = v2ones + v2x; - v2sx = v2theta + v2theta * v2x; - v2cx[0] = v2sx[0]; - __v4sf v4sx = _mm_cvtpd_ps (v2cx); - *sinx = v4sx[0]; - *cosx = v4sx[1]; - } - else - { - /* Handle some special cases. */ - if (ix) - *sinx = theta - (theta * SMALL); - else - *sinx = theta; - *cosx = 1.0 - abstheta; - } - } - else /* |x| >= Pi/4. */ - { - unsigned int signbit = xi >> 31; - if (ix < 0x40e231d6) /* |x| < 9*Pi/4. */ - { - /* There are cases where FE_UPWARD rounding mode can - produce a result of abstheta * inv_PI_4 == 9, - where abstheta < 9pi/4, so the domain for - pio2_table must go to 5 (9 / 2 + 1). */ - unsigned int n = (abstheta * inv_PI_4) + 1; - theta = abstheta - pio2_table[n / 2]; - reduced_sincos (theta, n, signbit, sinx, cosx); - } - else if (ix < 0x7f800000) - { - if (ix < 0x4b000000) /* |x| < 2^23. */ - { - unsigned int n = ((unsigned int) (abstheta * inv_PI_4)) + 1; - double x = n / 2; - theta = (abstheta - x * PI_2_hi) - x * PI_2_lo; - /* Argument reduction needed. */ - reduced_sincos (theta, n, signbit, sinx, cosx); - } - else /* |x| >= 2^23. */ - { - x = fabsf (x); - int exponent - = (ix >> FLOAT_EXPONENT_SHIFT) - FLOAT_EXPONENT_BIAS; - exponent += 3; - exponent /= 28; - double a = invpio4_table[exponent] * x; - double b = invpio4_table[exponent + 1] * x; - double c = invpio4_table[exponent + 2] * x; - double d = invpio4_table[exponent + 3] * x; - uint64_t l = a; - l &= ~0x7; - a -= l; - double e = a + b; - l = e; - e = a - l; - if (l & 1) - { - e -= 1.0; - e += b; - e += c; - e += d; - e *= M_PI_4; - reduced_sincos (e, l + 1, signbit, sinx, cosx); - } - else - { - e += b; - e += c; - e += d; - if (e <= 1.0) - { - e *= M_PI_4; - reduced_sincos (e, l + 1, signbit, sinx, cosx); - } - else - { - l++; - e -= 2.0; - e *= M_PI_4; - reduced_sincos (e, l + 1, signbit, sinx, cosx); - } - } - } - } - else - { - if (ix == 0x7f800000) - __set_errno (EDOM); - /* sin/cos(Inf or NaN) is NaN. */ - *sinx = *cosx = x - x; - } - } -} - -#ifndef SINCOSF -libm_alias_float (__sincos, sincos) -#endif +#include <sysdeps/ieee754/flt-32/s_sincosf.c> |