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[/] [openrisc/] [trunk/] [gnu-old/] [newlib-1.17.0/] [newlib/] [libm/] [machine/] [spu/] [headers/] [hypotd2.h] - Rev 825
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/* -------------------------------------------------------------- */ /* (C)Copyright 2006,2008, */ /* International Business Machines 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 _HYPOTD2_H_ #define _HYPOTD2_H_ 1 #include <spu_intrinsics.h> #include "sqrtd2.h" /* * FUNCTION * vector double hypotd2(vector double x, vector double y) * * DESCRIPTION * The function hypotd2 returns a double vector in which each element is * the square root of the sum of the squares of the corresponding * elements of x and y. * * The purpose of this function is to avoid overflow during * intermediate calculations, and therefore it is slower than * simply calcualting sqrt(x^2 + y^2). * * This function is performed by factoring out the larger of the 2 * input exponents and moving this factor outside of the sqrt calculation. * This will minimize the possibility of over/underflow when the square * of the values are calculated. Think of it as normalizing the larger * input to the range [1,2). * * Special Cases: * - hypot(x, +/-0) returns |x| * - hypot(+/- infinity, y) returns +infinity * - hypot(+/- infinity, NaN) returns +infinity * */ static __inline vector double _hypotd2(vector double x, vector double y) { vector unsigned long long emask = spu_splats(0x7FF0000000000000ull); vector unsigned long long mmask = spu_splats(0x000FFFFFFFFFFFFFull); vector signed long long bias = spu_splats(0x3FF0000000000000ll); vector double oned = spu_splats(1.0); vector double sbit = spu_splats(-0.0); vector double inf = (vector double)spu_splats(0x7FF0000000000000ull); vector double max, max_e, max_m; vector double min, min_e, min_m; vector unsigned long long xgty; vector double sum; vector double result; /* Only need absolute values for this function */ x = spu_andc(x, sbit); y = spu_andc(y, sbit); xgty = spu_cmpgt(x,y); max = spu_sel(y,x,xgty); min = spu_sel(x,y,xgty); /* Extract the exponents and mantissas */ max_e = (vec_double2)spu_and((vec_ullong2)max, emask); max_m = (vec_double2)spu_and((vec_ullong2)max, mmask); min_e = (vec_double2)spu_and((vec_ullong2)min, emask); min_m = (vec_double2)spu_and((vec_ullong2)min, mmask); /* Factor-out max exponent here by subtracting from min exponent */ vec_llong2 min_e_int = (vec_llong2)spu_sub((vec_int4)min_e, (vec_int4)max_e); min_e = (vec_double2)spu_add((vec_int4)min_e_int, (vec_int4)bias); /* If the new min exponent is too small, just set it to 0. It * wouldn't contribute to the final result in either case. */ min_e = spu_sel(min_e, sbit, spu_cmpgt(sbit, min_e)); /* Combine new exponents with original mantissas */ max = spu_or(oned, max_m); min = spu_or(min_e, min_m); sum = _sqrtd2(spu_madd(max, max, spu_mul(min, min))); sum = spu_mul(max_e, sum); /* Special case: x = +/- infinity */ result = spu_sel(sum, inf, spu_cmpeq(x, inf)); return result; } #endif /* _HYPOTD2_H_ */ #endif /* __SPU__ */
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