diff options
Diffstat (limited to 'newlib/libm/machine/spu/headers/acoshd2.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/acoshd2.h | 107 |
1 files changed, 60 insertions, 47 deletions
diff --git a/newlib/libm/machine/spu/headers/acoshd2.h b/newlib/libm/machine/spu/headers/acoshd2.h index a60eaccb6..b9bfd0cb2 100644 --- a/newlib/libm/machine/spu/headers/acoshd2.h +++ b/newlib/libm/machine/spu/headers/acoshd2.h @@ -1,5 +1,5 @@ /* -------------------------------------------------------------- */ -/* (C)Copyright 2007,2008, */ +/* (C)Copyright 2006,2007, */ /* International Business Machines Corporation */ /* All Rights Reserved. */ /* */ @@ -19,6 +19,18 @@ /* 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, */ @@ -79,78 +91,79 @@ * Taylor Series Coefficients * for x around 1. */ -#define SDM_ACOSHD2_TAY01 1.000000000000000000000000000000000E0 /* 1 / 1 */ -#define SDM_ACOSHD2_TAY02 -8.333333333333333333333333333333333E-2 /* 1 / 12 */ -#define SDM_ACOSHD2_TAY03 1.875000000000000000000000000000000E-2 /* 3 / 160 */ -#define SDM_ACOSHD2_TAY04 -5.580357142857142857142857142857142E-3 /* 5 / 896 */ -#define SDM_ACOSHD2_TAY05 1.898871527777777777777777777777777E-3 /* 35 / 18432 */ -#define SDM_ACOSHD2_TAY06 -6.991299715909090909090909090909090E-4 /* 63 / 90112 */ -#define SDM_ACOSHD2_TAY07 2.711369441105769230769230769230769E-4 /* 231 / 851968 */ -#define SDM_ACOSHD2_TAY08 -1.091003417968750000000000000000000E-4 /* 143 / 1310720 */ -#define SDM_ACOSHD2_TAY09 4.512422225054572610294117647058823E-5 /* 6435 / 142606336 */ -#define SDM_ACOSHD2_TAY10 -1.906564361170718544407894736842105E-5 /* 12155 / 637534208 */ -#define SDM_ACOSHD2_TAY11 8.193687314078921363467261904761904E-6 /* 46189 / 5637144576 */ -#define SDM_ACOSHD2_TAY12 -3.570569274218186088230298913043478E-6 /* 88179 / 24696061952 */ -#define SDM_ACOSHD2_TAY13 1.574025955051183700561523437500000E-6 /* 676039 / 429496729600 */ -#define SDM_ACOSHD2_TAY14 -7.006881922414457356488263165509259E-7 /* 1300075 / 1855425871872 */ -#define SDM_ACOSHD2_TAY15 3.145330616650332150788142763335129E-7 /* 5014575 / 15942918602752 */ +#define ACOSH_TAY01 1.0000000000000000000000000000000000000000000000000000000000000000000000E0 /* 1 / 1 */ +#define ACOSH_TAY02 -8.3333333333333333333333333333333333333333333333333333333333333333333333E-2 /* 1 / 12 */ +#define ACOSH_TAY03 1.8750000000000000000000000000000000000000000000000000000000000000000000E-2 /* 3 / 160 */ +#define ACOSH_TAY04 -5.5803571428571428571428571428571428571428571428571428571428571428571429E-3 /* 5 / 896 */ +#define ACOSH_TAY05 1.8988715277777777777777777777777777777777777777777777777777777777777778E-3 /* 35 / 18432 */ +#define ACOSH_TAY06 -6.9912997159090909090909090909090909090909090909090909090909090909090909E-4 /* 63 / 90112 */ +#define ACOSH_TAY07 2.7113694411057692307692307692307692307692307692307692307692307692307692E-4 /* 231 / 851968 */ +#define ACOSH_TAY08 -1.0910034179687500000000000000000000000000000000000000000000000000000000E-4 /* 143 / 1310720 */ +#define ACOSH_TAY09 4.5124222250545726102941176470588235294117647058823529411764705882352941E-5 /* 6435 / 142606336 */ +#define ACOSH_TAY10 -1.9065643611707185444078947368421052631578947368421052631578947368421053E-5 /* 12155 / 637534208 */ +#define ACOSH_TAY11 8.1936873140789213634672619047619047619047619047619047619047619047619048E-6 /* 46189 / 5637144576 */ +#define ACOSH_TAY12 -3.5705692742181860882302989130434782608695652173913043478260869565217391E-6 /* 88179 / 24696061952 */ +#define ACOSH_TAY13 1.5740259550511837005615234375000000000000000000000000000000000000000000E-6 /* 676039 / 429496729600 */ +#define ACOSH_TAY14 -7.0068819224144573564882631655092592592592592592592592592592592592592593E-7 /* 1300075 / 1855425871872 */ +#define ACOSH_TAY15 3.1453306166503321507881427633351293103448275862068965517241379310344828E-7 /* 5014575 / 15942918602752 */ +#if 0 +#define ACOSH_TAY16 -1.4221629293564136230176494967552923387096774193548387096774193548387097E-7 /* 9694845 / 68169720922112 */ +#define ACOSH_TAY17 6.4711106776113328206437555226412686434659090909090909090909090909090909E-8 /* 100180065 / 1548112371908608 */ +#define ACOSH_TAY18 -2.9609409781171182528071637664522443498883928571428571428571428571428571E-8 /* 116680311 / 3940649673949184 */ +#define ACOSH_TAY19 1.3615438056281793767600509061201198680980785472972972972972972972972973E-8 /* 2268783825 / 166633186212708352 */ +#endif static __inline vector double _acoshd2(vector double x) { vec_uchar16 dup_even = ((vec_uchar16) { 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 }); vec_double2 minus_oned = spu_splats(-1.0); vec_double2 twod = spu_splats(2.0); + vec_double2 xminus1; + vec_float4 xf; /* Where we switch from taylor to formula */ vec_float4 switch_approx = spu_splats(1.15f); + vec_uint4 use_form; vec_double2 result, fresult, mresult;; - vec_double2 xminus1 = spu_add(x, minus_oned); - vec_float4 xf = spu_roundtf(x); + xf = spu_roundtf(x); xf = spu_shuffle(xf, xf, dup_even); - vec_ullong2 use_form = (vec_ullong2)spu_cmpgt(xf, switch_approx); - - vec_double2 sqrtargformula = spu_madd(x, x, minus_oned); - vec_double2 sqrtargtaylor = spu_mul(xminus1, twod); - vec_double2 sqrtarg = spu_sel(sqrtargtaylor, sqrtargformula, use_form); - - vec_double2 sqrtresult = _sqrtd2(sqrtarg); - /* * Formula: * acosh = ln(x + sqrt(x^2 - 1)) */ - fresult = spu_add(x, sqrtresult); + fresult = _sqrtd2(spu_madd(x, x, minus_oned)); + fresult = spu_add(x, fresult); fresult = _logd2(fresult); /* * Taylor Series */ - mresult = spu_splats(SDM_ACOSHD2_TAY15); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY14)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY13)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY12)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY11)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY10)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY09)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY08)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY07)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY06)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY05)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY04)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY03)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY02)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY01)); - - - mresult = spu_mul(mresult, sqrtresult); - + xminus1 = spu_add(x, minus_oned); + + mresult = spu_madd(xminus1, spu_splats(ACOSH_TAY15), spu_splats(ACOSH_TAY14)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY13)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY12)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY11)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY10)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY09)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY08)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY07)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY06)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY05)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY04)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY03)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY02)); + mresult = spu_madd(xminus1, mresult, spu_splats(ACOSH_TAY01)); + + mresult = spu_mul(mresult, _sqrtd2(spu_mul(xminus1, twod))); /* * Select series or formula */ - result = spu_sel(mresult, fresult, use_form); + use_form = spu_cmpgt(xf, switch_approx); + result = spu_sel(mresult, fresult, (vec_ullong2)use_form); return result; } |