newlib-cygwin/newlib/libm/machine/spu/headers/powd2.h

134 lines
6.0 KiB
C
Raw Normal View History

2007-09-28 Patrick Mansfield <patmans@us.ibm.com> * libm/machine/spu/Makefile.am: Add new C files. * libm/machine/spu/Makefile.in: Regenerate. * libm/machine/spu/headers/acos.h: New file. * libm/machine/spu/headers/acosd2.h: Ditto. * libm/machine/spu/headers/acosf.h: Ditto. * libm/machine/spu/headers/acosf4.h: Ditto. * libm/machine/spu/headers/acosh.h: Ditto. * libm/machine/spu/headers/acoshd2.h: Ditto. * libm/machine/spu/headers/acoshf.h: Ditto. * libm/machine/spu/headers/acoshf4.h: Ditto. * libm/machine/spu/headers/asin.h: Ditto. * libm/machine/spu/headers/asind2.h: Ditto. * libm/machine/spu/headers/asinf.h: Ditto. * libm/machine/spu/headers/asinf4.h: Ditto. * libm/machine/spu/headers/asinh.h: Ditto. * libm/machine/spu/headers/asinhd2.h: Ditto. * libm/machine/spu/headers/asinhf.h: Ditto. * libm/machine/spu/headers/asinhf4.h: Ditto. * libm/machine/spu/headers/atan.h: Ditto. * libm/machine/spu/headers/atan2.h: Ditto. * libm/machine/spu/headers/atan2d2.h: Ditto. * libm/machine/spu/headers/atan2f.h: Ditto. * libm/machine/spu/headers/atan2f4.h: Ditto. * libm/machine/spu/headers/atand2.h: Ditto. * libm/machine/spu/headers/atanf4.h: Ditto. * libm/machine/spu/headers/atanh.h: Ditto. * libm/machine/spu/headers/atanhd2.h: Ditto. * libm/machine/spu/headers/atanhf.h: Ditto. * libm/machine/spu/headers/atanhf4.h: Ditto. * libm/machine/spu/headers/cos.h: Ditto. * libm/machine/spu/headers/cos_sin.h: Ditto. * libm/machine/spu/headers/cosd2.h: Ditto. * libm/machine/spu/headers/cosf.h: Ditto. * libm/machine/spu/headers/cosf4.h: Ditto. * libm/machine/spu/headers/cosh.h: Ditto. * libm/machine/spu/headers/coshd2.h: Ditto. * libm/machine/spu/headers/coshf.h: Ditto. * libm/machine/spu/headers/coshf4.h: Ditto. * libm/machine/spu/headers/divd2.h: Ditto. * libm/machine/spu/headers/divf4.h: Ditto. * libm/machine/spu/headers/erf.h: Ditto. * libm/machine/spu/headers/erf_utils.h: Ditto. * libm/machine/spu/headers/erfc.h: Ditto. * libm/machine/spu/headers/erfcd2.h: Ditto. * libm/machine/spu/headers/erfcf.h: Ditto. * libm/machine/spu/headers/erfcf4.h: Ditto. * libm/machine/spu/headers/erfd2.h: Ditto. * libm/machine/spu/headers/erff.h: Ditto. * libm/machine/spu/headers/erff4.h: Ditto. * libm/machine/spu/headers/exp.h: Ditto. * libm/machine/spu/headers/exp2.h: Ditto. * libm/machine/spu/headers/exp2d2.h: Ditto. * libm/machine/spu/headers/exp2f4.h: Ditto. * libm/machine/spu/headers/expd2.h: Ditto. * libm/machine/spu/headers/expf4.h: Ditto. * libm/machine/spu/headers/expm1.h: Ditto. * libm/machine/spu/headers/expm1d2.h: Ditto. * libm/machine/spu/headers/expm1f.h: Ditto. * libm/machine/spu/headers/expm1f4.h: Ditto. * libm/machine/spu/headers/floord2.h: Ditto. * libm/machine/spu/headers/floorf4.h: Ditto. * libm/machine/spu/headers/hypot.h: Ditto. * libm/machine/spu/headers/hypotd2.h: Ditto. * libm/machine/spu/headers/hypotf.h: Ditto. * libm/machine/spu/headers/hypotf4.h: Ditto. * libm/machine/spu/headers/isnan.h: Ditto. * libm/machine/spu/headers/isnand2.h: Ditto. * libm/machine/spu/headers/isnanf.h: Ditto. * libm/machine/spu/headers/isnanf4.h: Ditto. * libm/machine/spu/headers/ldexpd2.h: Ditto. * libm/machine/spu/headers/ldexpf4.h: Ditto. * libm/machine/spu/headers/lgamma.h: Ditto. * libm/machine/spu/headers/lgammad2.h: Ditto. * libm/machine/spu/headers/lgammaf.h: Ditto. * libm/machine/spu/headers/lgammaf4.h: Ditto. * libm/machine/spu/headers/log.h: Ditto. * libm/machine/spu/headers/log10.h: Ditto. * libm/machine/spu/headers/log10d2.h: Ditto. * libm/machine/spu/headers/log1p.h: Ditto. * libm/machine/spu/headers/log1pd2.h: Ditto. * libm/machine/spu/headers/log1pf.h: Ditto. * libm/machine/spu/headers/log1pf4.h: Ditto. * libm/machine/spu/headers/log2.h: Ditto. * libm/machine/spu/headers/log2d2.h: Ditto. * libm/machine/spu/headers/log2f4.h: Ditto. * libm/machine/spu/headers/logbf.h: Ditto. * libm/machine/spu/headers/logbf4.h: Ditto. * libm/machine/spu/headers/logd2.h: Ditto. * libm/machine/spu/headers/logf4.h: Ditto. * libm/machine/spu/headers/nearbyintf.h: Ditto. * libm/machine/spu/headers/nearbyintf4.h: Ditto. * libm/machine/spu/headers/nextafter.h: Ditto. * libm/machine/spu/headers/nextafterd2.h: Ditto. * libm/machine/spu/headers/nextafterf.h: Ditto. * libm/machine/spu/headers/nextafterf4.h: Ditto. * libm/machine/spu/headers/pow.h: Ditto. * libm/machine/spu/headers/powd2.h: Ditto. * libm/machine/spu/headers/powf.h: Ditto. * libm/machine/spu/headers/powf4.h: Ditto. * libm/machine/spu/headers/recipd2.h: Ditto. * libm/machine/spu/headers/recipf4.h: Ditto. * libm/machine/spu/headers/rintf.h: Ditto. * libm/machine/spu/headers/rintf4.h: Ditto. * libm/machine/spu/headers/scalbnf4.h: Ditto. * libm/machine/spu/headers/signbit.h: Ditto. * libm/machine/spu/headers/signbitd2.h: Ditto. * libm/machine/spu/headers/simdmath.h: Ditto. * libm/machine/spu/headers/sin.h: Ditto. * libm/machine/spu/headers/sincos.h: Ditto. * libm/machine/spu/headers/sincosd2.h: Ditto. * libm/machine/spu/headers/sincosf.h: Ditto. * libm/machine/spu/headers/sincosf4.h: Ditto. * libm/machine/spu/headers/sind2.h: Ditto. * libm/machine/spu/headers/sinf.h: Ditto. * libm/machine/spu/headers/sinf4.h: Ditto. * libm/machine/spu/headers/sinh.h: Ditto. * libm/machine/spu/headers/sinhd2.h: Ditto. * libm/machine/spu/headers/sinhf.h: Ditto. * libm/machine/spu/headers/sinhf4.h: Ditto. * libm/machine/spu/headers/sqrtd2.h: Ditto. * libm/machine/spu/headers/sqrtf.h: Ditto. * libm/machine/spu/headers/sqrtf4.h: Ditto. * libm/machine/spu/headers/tan.h: Ditto. * libm/machine/spu/headers/tand2.h: Ditto. * libm/machine/spu/headers/tanf.h: Ditto. * libm/machine/spu/headers/tanf4.h: Ditto. * libm/machine/spu/headers/tanh.h: Ditto. * libm/machine/spu/headers/tanhd2.h: Ditto. * libm/machine/spu/headers/tanhf.h: Ditto. * libm/machine/spu/headers/tanhf4.h: Ditto. * libm/machine/spu/headers/tgamma.h: Ditto. * libm/machine/spu/headers/tgammad2.h: Ditto. * libm/machine/spu/headers/tgammaf.h: Ditto. * libm/machine/spu/headers/tgammaf4.h: Ditto. * libm/machine/spu/headers/truncd2.h: Ditto. * libm/machine/spu/headers/truncf4.h: Ditto. * libm/machine/spu/log2.c: Ditto. * libm/machine/spu/s_asinh.c: Ditto. * libm/machine/spu/s_atan.c: Ditto. * libm/machine/spu/s_cos.c: Ditto. * libm/machine/spu/s_erf.c: Ditto. * libm/machine/spu/s_expm1.c: Ditto. * libm/machine/spu/s_isnan.c: Ditto. * libm/machine/spu/s_log1p.c: Ditto. * libm/machine/spu/s_nextafter.c: Ditto. * libm/machine/spu/s_sin.c: Ditto. * libm/machine/spu/s_tan.c: Ditto. * libm/machine/spu/s_tanh.c: Ditto. * libm/machine/spu/sf_asinh.c: Ditto. * libm/machine/spu/sf_cos.c: Ditto. * libm/machine/spu/sf_erf.c: Ditto. * libm/machine/spu/sf_expm1.c: Ditto. * libm/machine/spu/sf_log1p.c: Ditto. * libm/machine/spu/sf_logb.c: Ditto. * libm/machine/spu/sf_nearbyint.c: Ditto. * libm/machine/spu/sf_nextafter.c: Ditto. * libm/machine/spu/sf_rint.c: Ditto. * libm/machine/spu/sf_sin.c: Ditto. * libm/machine/spu/sf_tan.c: Ditto. * libm/machine/spu/sf_tanh.c: Ditto. * libm/machine/spu/w_acos.c: Ditto. * libm/machine/spu/w_acosh.c: Ditto. * libm/machine/spu/w_asin.c: Ditto. * libm/machine/spu/w_atan2.c: Ditto. * libm/machine/spu/w_atanh.c: Ditto. * libm/machine/spu/w_cosh.c: Ditto. * libm/machine/spu/w_exp.c: Ditto. * libm/machine/spu/w_exp2.c: Ditto. * libm/machine/spu/w_hypot.c: Ditto. * libm/machine/spu/w_lgamma.c: Ditto. * libm/machine/spu/w_log.c: Ditto. * libm/machine/spu/w_log10.c: Ditto. * libm/machine/spu/w_pow.c: Ditto. * libm/machine/spu/w_sincos.c: Ditto. * libm/machine/spu/w_sinh.c: Ditto. * libm/machine/spu/w_tgamma.c: Ditto. * libm/machine/spu/wf_acos.c: Ditto. * libm/machine/spu/wf_acosh.c: Ditto. * libm/machine/spu/wf_asin.c: Ditto. * libm/machine/spu/wf_atan2.c: Ditto. * libm/machine/spu/wf_atanh.c: Ditto. * libm/machine/spu/wf_cosh.c: Ditto. * libm/machine/spu/wf_hypot.c: Ditto. * libm/machine/spu/wf_lgamma.c: Ditto. * libm/machine/spu/wf_pow.c: Ditto. * libm/machine/spu/wf_sincos.c: Ditto. * libm/machine/spu/wf_sinh.c: Ditto. * libm/machine/spu/wf_sqrt.c: Ditto. * libm/machine/spu/wf_tgamma.c: Ditto.
2007-09-29 02:44:24 +08:00
/* -------------------------------------------------------------- */
/* (C)Copyright 2006,2007, */
/* International Business Machines Corporation, */
/* Sony Computer Entertainment, Incorporated, */
/* Toshiba Corporation, */
/* */
/* All Rights Reserved. */
/* */
/* Redistribution and use in source and binary forms, with or */
/* without modification, are permitted provided that the */
/* following conditions are met: */
/* */
/* - Redistributions of source code must retain the above copyright*/
/* notice, this list of conditions and the following disclaimer. */
/* */
/* - 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. */
/* */
/* - Neither the name of IBM Corporation nor the names of its */
/* contributors may be used to endorse or promote products */
/* derived from this software without specific prior written */
/* permission. */
/* Redistributions of source code must retain the above copyright */
/* notice, this list of conditions and the following disclaimer. */
/* */
/* 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. */
/* */
/* Neither the name of IBM Corporation nor the names of its */
/* contributors may be used to endorse or promote products */
/* derived from this software without specific prior written */
/* permission. */
/* */
/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 COPYRIGHT OWNER 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. */
/* -------------------------------------------------------------- */
/* PROLOG END TAG zYx */
#ifdef __SPU__
#ifndef _POWD2_H_
#define _POWD2_H_ 1
#include "exp2d2.h"
#include "log2d2.h"
/*
* FUNCTION
* vector double _powd2(vector double x, vector double y)
*
* DESCRIPTION
* The _powd2 function computes x raised to the power y for the set of
* vectors. The powd2 function is computed as by decomposing
* the problem into:
*
* x^y = 2^(y*log2(x))
*
*
*/
static __inline vector double _powd2(vector double x, vector double y)
{
vec_uchar16 splat_hi = (vec_uchar16) { 0,1,2,3,0,1,2,3, 8,9,10,11, 8,9,10,11 };
vec_int4 exp, shift;
vec_uint4 sign = (vec_uint4) { 0x80000000, 0, 0x80000000, 0 };
vec_uint4 or_mask, and_mask, evenmask, intmask;
vec_double2 in_hi;
vector double signmask = spu_splats(-0.0);
vector signed int error = spu_splats(-1);
vector double zero = spu_splats(0.0);
vector unsigned int y_is_int, y_is_odd, y_is_even;
vector unsigned int x_is_neg;
vector double xabs, xsign;
vector double out;
xsign = spu_and(x, signmask);
xabs = spu_andc(x, signmask);
x_is_neg = (vec_uint4)spu_cmpgt(zero, x);
/* First we solve assuming x was non-negative */
out = _exp2d2(spu_mul(y, _log2d2(xabs)));
in_hi = spu_shuffle(y, y, splat_hi);
exp = spu_and(spu_rlmask((vec_int4)in_hi, -20), 0x7FF);
/* Determine if y is an integer */
shift = spu_sub(((vec_int4) { 1023, 1043, 1023, 1043 }), exp);
or_mask = spu_andc(spu_cmpgt(shift, 0), sign);
and_mask = spu_rlmask(((vec_uint4) { 0xFFFFF, -1, 0xFFFFF, -1 }), shift);
intmask = spu_or(spu_and(and_mask, spu_cmpgt(shift, -32)), or_mask);
y_is_int = (vec_uint4)spu_cmpeq(y, spu_andc(y, (vec_double2)(intmask)));
/* Determine if y is an even integer */
shift = spu_sub(((vec_int4) { 1024, 1044, 1024, 1044 }), exp);
or_mask = spu_andc(spu_cmpgt(shift, 0), sign);
and_mask = spu_rlmask(((vec_uint4) { 0xFFFFF, -1, 0xFFFFF, -1 }), shift);
evenmask = spu_or(spu_and(and_mask, spu_cmpgt(shift, -32)), or_mask);
y_is_even = (vec_uint4)spu_cmpeq(y, spu_andc(y, (vec_double2)(evenmask)));
y_is_odd = spu_andc(y_is_int, y_is_even);
/* Special Cases
*/
/* x < 0 is only ok when y integer */
out = spu_sel(out, (vec_double2)error, (vec_ullong2)spu_andc(x_is_neg, y_is_int));
/* Preserve the sign of x if y is an odd integer */
out = spu_sel(out, spu_or(out, xsign), (vec_ullong2)y_is_odd);
/* x = anything, y = +/- 0, returns 1 */
out = spu_sel(out, spu_splats(1.0), spu_cmpabseq(y, zero));
return(out);
}
#endif /* _POWD2_H_ */
#endif /* __SPU__ */