diff options
Diffstat (limited to 'sysdeps/x86_64')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/s_sincosf-fma.c | 271 |
1 files changed, 1 insertions, 270 deletions
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> |