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Diffstat (limited to 'newlib/libm/machine/spu/headers/cbrtf.h')
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diff --git a/newlib/libm/machine/spu/headers/cbrtf.h b/newlib/libm/machine/spu/headers/cbrtf.h
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+/*
+ (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_ */