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Diffstat (limited to 'newlib/libm/machine/spu/headers/exp2d2.h')
-rw-r--r--newlib/libm/machine/spu/headers/exp2d2.h152
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diff --git a/newlib/libm/machine/spu/headers/exp2d2.h b/newlib/libm/machine/spu/headers/exp2d2.h
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--- a/newlib/libm/machine/spu/headers/exp2d2.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 _EXP2D2_H_
-#define _EXP2D2_H_ 1
-
-#include <spu_intrinsics.h>
-
-
-/*
- * FUNCTION
- * vector double _exp2d2(vector double x)
- *
- * DESCRIPTION
- * _exp2d2 computes 2 raised to the input x for each
- * of the double word elements of x. Computation is
- * performed by observing the 2^(a+b) = 2^a * 2^b.
- * We decompose x into a and b (above) by letting.
- * a = ceil(x), b = x - a;
- *
- * 2^a is easily computed by placing a into the exponent
- * or a floating point number whose mantissa is all zeros.
- *
- * 2^b is computed using the polynomial approximation.
- *
- * __13_
- * \
- * \
- * 2^x = / Ci*x^i
- * /____
- * i=0
- *
- * for x in the range 0.0 to 1.0.
- *
- */
-#define EXP_C00 1.0
-#define EXP_C01 6.93147180559945286227e-01
-#define EXP_C02 2.40226506959100694072e-01
-#define EXP_C03 5.55041086648215761801e-02
-#define EXP_C04 9.61812910762847687873e-03
-#define EXP_C05 1.33335581464284411157e-03
-#define EXP_C06 1.54035303933816060656e-04
-#define EXP_C07 1.52527338040598376946e-05
-#define EXP_C08 1.32154867901443052734e-06
-#define EXP_C09 1.01780860092396959520e-07
-#define EXP_C10 7.05491162080112087744e-09
-#define EXP_C11 4.44553827187081007394e-10
-#define EXP_C12 2.56784359934881958182e-11
-#define EXP_C13 1.36914888539041240648e-12
-
-static __inline vector double _exp2d2(vector double vx)
-{
- vec_int4 ix, exp;
- vec_uint4 overflow, underflow;
- vec_float4 vxf;
- vec_double2 p1, p2, x2, x4, x8;
- vec_double2 vy, vxw, out_of_range;
-
- /* Compute: vxw = x - ceil(x)
- */
- vxw = spu_add(vx, spu_splats(0.5));
- vxf = spu_roundtf(vxw);
- ix = spu_convts(vxf, 0);
- ix = spu_add(ix, (vec_int4)spu_andc(spu_cmpgt(spu_splats(0.0f), vxf), spu_cmpeq(ix, spu_splats((int)0x80000000))));
- vxf = spu_convtf(ix, 0);
- vxw = spu_sub(vx, spu_extend(vxf));
-
- /* Detect overflow and underflow. If overflow, force the result
- * to infinity (at the end).
- */
- exp = spu_shuffle(ix, ix, ((vec_uchar16) { 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 }));
-
- overflow = spu_cmpgt(exp, 1023);
- underflow = spu_cmpgt(exp, -1023);
- out_of_range = (vec_double2)spu_and(overflow, ((vec_uint4) { 0x7FF00000, 0, 0x7FF00000, 0 }));
-
- /* Calculate the result by evaluating the 13th order polynomial.
- * For efficiency, the polynomial is broken into two parts and
- * evaluate then using nested
- *
- * result = (((((c13*x + c12)*x + c11)*x + c10)*x + c9)*x + c8)*x^8 +
- * ((((((c7*x + c6)*x + c5)*x + c4)*x + c3)*x + c2)*x + c1)*x + c0
- */
- p2 = spu_madd(spu_splats(EXP_C07), vxw, spu_splats(EXP_C06));
- p1 = spu_madd(spu_splats(EXP_C13), vxw, spu_splats(EXP_C12));
- x2 = spu_mul(vxw, vxw);
- p2 = spu_madd(vxw, p2, spu_splats(EXP_C05));
- p1 = spu_madd(vxw, p1, spu_splats(EXP_C11));
- x4 = spu_mul(x2, x2);
- p2 = spu_madd(vxw, p2, spu_splats(EXP_C04));
- p1 = spu_madd(vxw, p1, spu_splats(EXP_C10));
- p2 = spu_madd(vxw, p2, spu_splats(EXP_C03));
- p1 = spu_madd(vxw, p1, spu_splats(EXP_C09));
- x8 = spu_mul(x4, x4);
- p2 = spu_madd(vxw, p2, spu_splats(EXP_C02));
- p1 = spu_madd(vxw, p1, spu_splats(EXP_C08));
- p2 = spu_madd(vxw, p2, spu_splats(EXP_C01));
- p2 = spu_madd(vxw, p2, spu_splats(EXP_C00));
- vy = spu_madd(x8, p1, p2);
-
- /* Align the integer integer portion of x with the exponent.
- */
- ix = spu_sl(ix, ((vec_uint4) { 20, 32, 20, 32 }));
- vy = (vec_double2)spu_add((vec_int4)vy, ix);
-
- /* Select the result if not overflow or underflow. Otherwise select the
- * the out of range value.
- */
- return (spu_sel(vy, out_of_range, (vec_ullong2)spu_orc(overflow, underflow)));
-}
-
-#endif /* _EXP2D2_H_ */
-#endif /* __SPU__ */