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Diffstat (limited to 'newlib/libm/machine/spu/headers/asinf4.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/asinf4.h | 156 |
1 files changed, 156 insertions, 0 deletions
diff --git a/newlib/libm/machine/spu/headers/asinf4.h b/newlib/libm/machine/spu/headers/asinf4.h new file mode 100644 index 000000000..fefee5703 --- /dev/null +++ b/newlib/libm/machine/spu/headers/asinf4.h @@ -0,0 +1,156 @@ +/* -------------------------------------------------------------- */ +/* (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 _ASINF4_H_ +#define _ASINF4_H_ 1 + +#include <spu_intrinsics.h> + +#include "divf4.h" +#include "sqrtf4.h" + +/* + * FUNCTION + * vector float _asinf4(vector float x) + * + * DESCRIPTION + * The _asinf4 function computes the arc sine for a vector of values x; + * that is the values whose sine is x. Results are undefined if x is + * outside the range [-1, 1]. + * + */ +static __inline vector float _asinf4(vector float x) +{ + /* The arcsin is computed using two different algorithms, depending + * upon the absolute value of the input. For inputs in the range + * [0, PI/4], it is computed as the ratio of two polynomials. + * + * asin(x) = p/q; + * + * where p = P11*x^11 + P09*x^9 + P07*x^7 + P05*x^5 + P03*x3 + x + * q = Q08*x^8 + Q06*x^6 + Q04*x^4 + Q02*x^2 + Q00 + * + * For the range of value [PI/4, 1], the arcsin is computed using: + * + * asin = PI/2 - sqrt(1 - x) * r; + * + * where r = C07*x^7 + C06*x^6 + C05*x^5 + C04*x^4 + C03*x^3 + C02*x^2 + * C01*x + C00; + */ + vector float r, r1, r2, r_hi, r_lo; + vector float xabs, x2, x4, x6; + vector float p, p_hi, p_lo; + vector float q, q_hi, q_lo; + vector float pi_over_2 = spu_splats(1.5707963267949f); + vector float pi_over_4 = spu_splats(0.7853981633974f); + vector unsigned int msb = spu_splats(0x80000000); + + + x2 = spu_mul(x, x); + x4 = spu_mul(x2, x2); + x6 = spu_mul(x4, x2); + + xabs = spu_andc(x, (vector float)msb); + + /* Compute arc-sin for values in the range [0, PI/4] + */ + p_hi = spu_madd(spu_splats(0.0000347933107596021167570f), x2, + spu_splats(0.000791534994289814532176f)); + p_hi = spu_madd(p_hi, x2, spu_splats(-0.0400555345006794114027f)); + + p_lo = spu_madd(spu_splats(0.201212532134862925881f), x2, + spu_splats(-0.325565818622400915405f)); + p_lo = spu_madd(p_lo, x2, spu_splats(0.166666666666666657415f)); + + p = spu_madd(p_hi, x6, p_lo); + + q_hi = spu_madd(spu_splats(0.0770381505559019352791f), x2, + spu_splats(-0.688283971605453293030f)); + q_hi = spu_madd(q_hi, x2, spu_splats(2.02094576023350569471f)); + + q_lo = spu_madd(spu_splats(-2.40339491173441421878f), x2, + spu_splats(1.0f)); + + q = spu_madd(q_hi, x4, q_lo); + + r1 = spu_madd(_divf4(p, q), spu_mul(xabs, x2), xabs); + + /* Compute arc-sin for values in the range [PI/4, 1] + */ + r_hi = spu_madd(spu_splats(-0.0012624911f), xabs, + spu_splats(0.0066700901f)); + r_hi = spu_madd(r_hi, xabs, spu_splats(-0.0170881256f)); + r_hi = spu_madd(r_hi, xabs, spu_splats(0.0308918810f)); + + r_lo = spu_madd(spu_splats(-0.0501743046f), xabs, + spu_splats(0.0889789874f)); + r_lo = spu_madd(r_lo, xabs, spu_splats(-0.2145988016f)); + r_lo = spu_madd(r_lo, xabs, pi_over_2); + + r = spu_madd(r_hi, x4, r_lo); + + r2 = spu_nmsub(r, _sqrtf4(spu_sub(spu_splats(1.0f), xabs)), + pi_over_2); + + /* Select the result depending upon the input value. Correct the + * sign of the result. + */ + return (spu_sel(spu_sel(r1, r2, spu_cmpgt(xabs, pi_over_4)), + x, msb)); +} + +#endif /* _ASINF4_H_ */ +#endif /* __SPU__ */ + + |