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Diffstat (limited to 'newlib/libm/machine/spu/headers/cbrtf.h')
-rw-r--r-- | newlib/libm/machine/spu/headers/cbrtf.h | 124 |
1 files changed, 124 insertions, 0 deletions
diff --git a/newlib/libm/machine/spu/headers/cbrtf.h b/newlib/libm/machine/spu/headers/cbrtf.h new file mode 100644 index 000000000..fb9553ad7 --- /dev/null +++ b/newlib/libm/machine/spu/headers/cbrtf.h @@ -0,0 +1,124 @@ +/* + (C) Copyright 2001,2006, + 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 names of the copyright holders nor the names of their + 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. +*/ +#ifndef _CBRTF_H_ +#define _CBRTF_H_ 1 + +#include <spu_intrinsics.h> +#include "headers/vec_literal.h" + +extern double cbrt_factors[5]; + +/* Compute the cube root of the floating point input x. + */ + +static __inline float _cbrtf(float x) +{ + vec_int4 exp, bias; + vec_uint4 mask, e_div_3, e_mod_3; + vec_uint4 mant_mask = VEC_SPLAT_U32(0x7FFFFF); + vec_float4 in; + vec_float4 half = VEC_SPLAT_F32(0.5f); + vec_float4 onef = VEC_SPLAT_F32(1.0f); + vec_float4 out, mant, ym, bf, inv_bf; + vec_double2 two = VEC_SPLAT_F64(2.0); + /* Polynomial coefficients */ + vec_double2 c2 = VEC_SPLAT_F64(0.191502161678719066); + vec_double2 c1 = VEC_SPLAT_F64(0.697570460207922770); + vec_double2 c0 = VEC_SPLAT_F64(0.492659620528969547); + vec_double2 a0, b0, inv_b0, ym0; + vec_double2 mant0, u0, u0_3, factor0; + + in = spu_promote(x, 0); + + /* Normalize the mantissa (fraction part) into the range [0.5, 1.0) and + * extract the exponent. + */ + mant = spu_sel(half, in, mant_mask); + exp = spu_and(spu_rlmask((vec_int4)in, -23), 0xFF); + + /* Generate mask used to zero result if the exponent is zero (ie, in is either + * zero or a denorm + */ + mask = spu_cmpeq(exp, 0); + exp = spu_add(exp, -126); + + mant0 = spu_extend(mant); + + u0 = spu_madd(mant0, spu_nmsub(mant0, c2, c1), c0); + u0_3 = spu_mul(spu_mul(u0, u0), u0); + + /* Compute: e_div_3 = exp/3 + * + * Fetch: factor = factor[2+exp%3] + * + * The factors array contains 5 values: 2^(-2/3), 2^(-1/3), 2^0, 2^(1/3), 2^(2/3), 2^1. + */ + bias = spu_rlmask(spu_rlmaska(exp, -15), -16); + e_div_3 = (vec_uint4)spu_rlmaska(spu_madd((vec_short8)exp, VEC_SPLAT_S16(0x5556), bias), -16); + + e_mod_3 = (vec_uint4)spu_sub((vec_int4)(exp), spu_mulo((vec_short8)e_div_3, VEC_SPLAT_S16(3))); + + e_mod_3 = spu_add(e_mod_3, 2); + + factor0 = spu_promote(cbrt_factors[spu_extract(e_mod_3, 0)], 0); + + /* Compute the estimated mantissa cube root (ym) equals: + * ym = (u * factor * (2.0 * mant + u3)) / (2.0 * u3 + mant); + */ + a0 = spu_mul(spu_mul(factor0, u0), spu_madd(two, mant0, u0_3)); + b0 = spu_madd(two, u0_3, mant0); + + bf = spu_roundtf(b0); + + inv_bf = spu_re(bf); + inv_bf = spu_madd(spu_nmsub(bf, inv_bf, onef), inv_bf, inv_bf); + + inv_b0 = spu_extend(inv_bf); + + ym0 = spu_mul(a0, inv_b0); + ym0 = spu_madd(spu_nmsub(b0, ym0, a0), inv_b0, ym0); + + ym = spu_roundtf(ym0); + + /* Merge sign, computed exponent, and computed mantissa. + */ + exp = spu_rl(spu_add((vec_int4)e_div_3, 127), 23); + out = spu_sel((vec_float4)exp, in, VEC_SPLAT_U32(0x80000000)); + out = spu_mul(out, ym); + + out = spu_andc(out, (vec_float4)mask); + + return (spu_extract(out, 0)); +} + +#endif /* _CBRTF_H_ */ |