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Diffstat (limited to 'newlib/libm/machine/spu/headers/recipd2.h')
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diff --git a/newlib/libm/machine/spu/headers/recipd2.h b/newlib/libm/machine/spu/headers/recipd2.h
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-/* -------------------------------------------------------------- */
-/* (C)Copyright 2001,2008, */
-/* 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. */
-/* */
-/* 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 _RECIPD2_H_
-#define _RECIPD2_H_ 1
-
-#include <spu_intrinsics.h>
-
-
-/*
- * FUNCTION
- * vector double _recipd2(vector double value)
- *
- * DESCRIPTION
- * The _recipd2 function inverts "value" and returns the result.
- * Computation is performed using the single precision reciprocal
- * estimate and interpolate instructions to produce a 12 accurate
- * estimate.
- *
- * One (1) iteration of a Newton-Raphson is performed to improve
- * accuracy to single precision floating point. Two additional double
- * precision iterations are needed to achieve a full double
- * preicision result.
- *
- * The Newton-Raphson iteration is of the form:
- * a) X[i+1] = X[i] * (2.0 - b*X[i])
- * or
- * b) X[i+1] = X[i] + X[i]*(1.0 - X[i]*b)
- * where b is the input value to be inverted
- *
- * The later (b) form improves the accuracy to 99.95% correctly rounded.
- */
-static __inline vector double _recipd2(vector double value_in)
-{
- vec_float4 x0;
- vec_float4 value;
- vec_float4 one = spu_splats(1.0f);
- vec_double2 one_d = spu_splats(1.0);
- vec_double2 x1, x2, x3;
- vec_double2 scale;
- vec_double2 exp, value_d;
- vec_ullong2 expmask = spu_splats(0x7FF0000000000000ULL);
- vec_ullong2 is0inf;
-
-#ifdef __SPU_EDP__
- vec_ullong2 isdenorm;
- vec_ullong2 expmask_minus1 = spu_splats(0x7FE0000000000000ULL);
-
- /* Determine special input values. For example, if the input is a denorm, infinity or 0 */
-
- isdenorm = spu_testsv(value_in, (SPU_SV_POS_DENORM | SPU_SV_NEG_DENORM));
- is0inf = spu_testsv(value_in, (SPU_SV_NEG_ZERO | SPU_SV_POS_ZERO |
- SPU_SV_NEG_INFINITY | SPU_SV_POS_INFINITY));
-
- /* Scale the divisor to correct for double precision floating
- * point exponents that are out of single precision range.
- */
- exp = spu_and(value_in, (vec_double2)expmask);
- scale = spu_xor(exp, (vec_double2)spu_sel(expmask, expmask_minus1, isdenorm));
- value_d = spu_mul(value_in, scale);
- value = spu_roundtf(value_d);
-
- /* Perform reciprocal with 1 single precision and 2 double precision
- * Newton-Raphson iterations.
- */
- x0 = spu_re(value);
- x1 = spu_extend(spu_madd(spu_nmsub(value, x0, one), x0, x0));
- x2 = spu_madd(spu_nmsub(value_d, x1, one_d), x1, x1);
- x3 = spu_madd(spu_nmsub(value_d, x2, one_d), x2, x2);
- x3 = spu_sel(spu_mul(x3, scale), spu_xor(value_in, (vector double)expmask), is0inf);
-
-#else /* !__SPU_EDP__ */
-
- vec_uint4 isinf, iszero, isdenorm0;
- vec_double2 value_abs;
- vec_double2 sign = spu_splats(-0.0);
- vec_double2 denorm_scale = (vec_double2)spu_splats(0x4330000000000000ULL);
- vec_double2 exp_53 = (vec_double2)spu_splats(0x0350000000000000ULL);
- vec_uchar16 splat_hi = (vec_uchar16){0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11};
- vec_uchar16 swap = (vec_uchar16){4,5,6,7, 0,1,2,3, 12,13,14,15, 8,9,10,11};
-
- value_abs = spu_andc(value_in, sign);
- exp = spu_and(value_in, (vec_double2)expmask);
-
- /* Determine if the input is a special value. These include:
- * denorm - then we must coerce it to a normal value.
- * zero - then we must return an infinity
- * infinity - then we must return a zero.
- */
- isdenorm0 = spu_cmpeq(spu_shuffle((vec_uint4)exp, (vec_uint4)exp, splat_hi), 0);
-
- isinf = spu_cmpeq((vec_uint4)value_abs, (vec_uint4)expmask);
- iszero = spu_cmpeq((vec_uint4)value_abs, 0);
- isinf = spu_and(isinf, spu_shuffle(isinf, isinf, swap));
- iszero = spu_and(iszero, spu_shuffle(iszero, iszero, swap));
- is0inf = (vec_ullong2)spu_or(isinf, iszero);
-
- /* If the inputs is a denorm, we must first convert it to a normal number since
- * arithmetic operations on denormals produces 0 on Cell/B.E.
- */
- value_d = spu_sub(spu_or(value_abs, exp_53), exp_53);
- value_d = spu_sel(value_abs, value_d, (vec_ullong2)isdenorm0);
-
- /* Scale the divisor to correct for double precision floating
- * point exponents that are out of single precision range.
- */
- scale = spu_xor(spu_and(value_d, (vec_double2)expmask), (vec_double2)expmask);
- value_d = spu_mul(value_d, scale);
- value = spu_roundtf(value_d);
-
- /* Perform reciprocal with 1 single precision and 2 double precision
- * Newton-Raphson iterations. The bias is removed after the single
- * precision iteration.
- */
- x0 = spu_re(value);
- x1 = spu_extend(spu_madd(spu_nmsub(value, x0, one), x0, x0));
- x2 = spu_madd(spu_nmsub(value_d, x1, one_d), x1, x1);
- x3 = spu_madd(spu_nmsub(value_d, x2, one_d), x2, x2);
- x3 = spu_mul(x3, spu_sel(scale, value_in, (vec_ullong2)sign));
- x3 = spu_sel(x3, spu_mul(x3, denorm_scale), (vec_ullong2)isdenorm0);
- x3 = spu_sel(x3, spu_xor(value_in, (vector double)expmask), is0inf);
-
-#endif /* __SPU_EDP__ */
-
- return (x3);
-}
-
-#endif /* _RECIPD2_H_ */
-#endif /* __SPU__ */