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Diffstat (limited to 'newlib/libm/machine/spu/headers/lgammaf4.h')
-rw-r--r-- | newlib/libm/machine/spu/headers/lgammaf4.h | 517 |
1 files changed, 0 insertions, 517 deletions
diff --git a/newlib/libm/machine/spu/headers/lgammaf4.h b/newlib/libm/machine/spu/headers/lgammaf4.h deleted file mode 100644 index 36aea5b16..000000000 --- a/newlib/libm/machine/spu/headers/lgammaf4.h +++ /dev/null @@ -1,517 +0,0 @@ -/* -------------------------------------------------------------- */ -/* (C)Copyright 2007,2008, */ -/* 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 _LGAMMAF4_H_ -#define _LGAMMAF4_H_ 1 - -#include <spu_intrinsics.h> - -#include "logf4.h" -#include "divf4.h" -#include "recipf4.h" -#include "truncf4.h" -#include "sinf4.h" - - -/* - * FUNCTION - * vector float _lgammaf4(vector float x) - Natural Log of Gamma Function - * - * DESCRIPTION - * _lgammaf4 calculates the natural logarithm of the absolute value of the gamma - * function for the corresponding elements of the input vector. - * - * C99 Special Cases: - * lgamma(0) returns +infinity - * lgamma(1) returns +0 - * lgamma(2) returns +0 - * lgamma(negative integer) returns +infinity - * lgamma(+infinity) returns +infinity - * lgamma(-infinity) returns +infinity - * - * Other Cases: - * lgamma(Nan) returns Nan - * lgamma(Denorm) treated as lgamma(0) and returns +infinity - * - */ - -static __inline vector float _lgammaf4(vector float x) -{ - vec_float4 result; - vec_float4 halflog2pi = spu_splats(9.189385332046727417803297364056E-1f); - vec_float4 logpi = spu_splats(1.1447298858494001741434273513530587116472948129153f); - vec_float4 inff = (vec_float4)spu_splats(0x7F800000); - vec_float4 zerof = spu_splats(0.0f); - vec_float4 onef = spu_splats(1.0f); - vec_float4 twof = spu_splats(2.0f); - vec_float4 sign_maskf = spu_splats(-0.0f); - vec_float4 pi = spu_splats(3.14159265358979323846264338328f); - - - /* - * Unfortunately, some of the approximation methods for lgamma require - * other basic math computations. Get those out of the way now. The - * compiler seems to good a good job of scheduling this code with - * the code that follows. - */ - vec_uint4 gt0 = spu_cmpgt(x, zerof); - vec_float4 xabs = spu_andc(x, sign_maskf); - vec_float4 ln_x = _logf4(xabs); - vec_float4 inv_x = _recipf4(xabs); - vec_float4 xtrunc = _truncf4(x); - vec_float4 inv_xsqu = spu_mul(inv_x, inv_x); - vec_uint4 isnaninf = spu_cmpgt((vec_uint4)xabs, 0x7F7FFFFF); - vec_uint4 ret_zero = spu_or(spu_cmpeq(x, onef), spu_cmpeq(x, twof)); - - - /* - * First thing we do is setup the description of each partition. - * This consists of: - * - Start x of partition - * - Offset (used for evaluating power series expanded around a point) - * - Truncation adjustment. - * - Is approx method in region a rational approximation or just a polynomial - * - The coefficients used in the poly or rational approximation - */ - - - /*************************************************************** - * REGION 0: Approximation Near 0 from Above - * - * Use Maclaurin Expansion of lgamma() - * - * lgamma(z) = -ln(z) - z * EulerMascheroni + Sum[(-1)^n * z^n * Zeta(n)/n] - */ - -#define SDM_LGF4_0_START 0.0f -#define SDM_LGF4_0_OFF 0.0f -#define SDM_LGF4_0_TRUNC 2u -#define SDM_LGF4_0_RATIONAL 0x0u - -#define SDM_LGF4_0_00 0.0f -#define SDM_LGF4_0_01 -0.5772156649015328606065121f -#define SDM_LGF4_0_02 0.8224670334241132182362076f -#define SDM_LGF4_0_03 -0.4006856343865314284665794f -#define SDM_LGF4_0_04 0.2705808084277845478790009f -#define SDM_LGF4_0_05 -0.2073855510286739852662731f -#define SDM_LGF4_0_06 1.6955717699740818995241965496515E-1f -#define SDM_LGF4_0_07 -1.4404989676884611811997107854997E-1f -#define SDM_LGF4_0_08 1.2550966952474304242233565481358E-1f -#define SDM_LGF4_0_09 -1.1133426586956469049087252991471E-1f -#define SDM_LGF4_0_10 1.0009945751278180853371459589003E-1f -#define SDM_LGF4_0_11 -9.0954017145829042232609298411497E-2f - - - - /*************************************************************** - * REGION 1: Above 0 and Below 1 - */ -#define SDM_LGF4_1_START 0.20f -#define SDM_LGF4_1_OFF 0.0f -#define SDM_LGF4_1_TRUNC 0u -#define SDM_LGF4_1_RATIONAL 0xFFFFFFFFu - -/* Numerator */ -#define SDM_LGF4_1_06 5.5247592697706124892083167601451981186889952720891079f -#define SDM_LGF4_1_07 188.42248906442882644741346270888237140890625699348872f -#define SDM_LGF4_1_08 730.89115027907050579364152184942040244662318995470771f -#define SDM_LGF4_1_09 -517.93391251349155395618464682404141737699116911423096f -#define SDM_LGF4_1_10 -866.81293419754982917624255525168901081630973644141406f -#define SDM_LGF4_1_11 459.90872804523394478152324135956113729930154636775805f - -/* Denominator */ -#define SDM_LGF4_1_00 1.0f -#define SDM_LGF4_1_01 62.356015559548850893358835861387218304619374633480009f -#define SDM_LGF4_1_02 553.64875642095755724931612658933597252336243693499682f -#define SDM_LGF4_1_03 997.28805670393557265195865662557219661414263910835386f -#define SDM_LGF4_1_04 257.10520661440946455560646958565998121417179154677712f -#define SDM_LGF4_1_05 -15.398409585547124178878369413880017200739911288666830f - - - - /*************************************************************** - * REGION 2: Above 0 and Below 1 - */ -#define SDM_LGF4_2_START 0.60f -#define SDM_LGF4_2_OFF 0.69f -#define SDM_LGF4_2_TRUNC 1u -#define SDM_LGF4_2_RATIONAL 0x0u - -/* This is a power series expanson of LogGamma around 0.69 */ -#define SDM_LGF4_2_00 0.27321026793030387025442491383648273204234f -#define SDM_LGF4_2_01 -1.24869016926209356266849815723905575347988f -#define SDM_LGF4_2_02 1.44985879780363867173410158693003578927407f -#define SDM_LGF4_2_03 -1.11686573274718166516744313082147691068190f -#define SDM_LGF4_2_04 1.14079150485439143731395820215710950729505f -#define SDM_LGF4_2_05 -1.29512166953091144888197173527810141620764f -#define SDM_LGF4_2_06 1.55206382120790061136858894716459302629069f -#define SDM_LGF4_2_07 -1.92227237154565289482911310272968704445560f -#define SDM_LGF4_2_08 2.43478939488445894670349784581009987461638f -#define SDM_LGF4_2_09 -3.13512449573283650741385084753752461908870f -#define SDM_LGF4_2_10 4.08851456399492725127969680590409811177590f -#define SDM_LGF4_2_11 5.38629680478093362448042704719642976375265f - - - - /*************************************************************** - * REGION 3: Around 1 - */ -#define SDM_LGF4_3_START 0.74f -#define SDM_LGF4_3_OFF 1.0f -#define SDM_LGF4_3_TRUNC 2u -#define SDM_LGF4_3_RATIONAL 0x0u - -#define SDM_LGF4_3_11 -0.90954017145829042232609298411497266951691494159836e-1f -#define SDM_LGF4_3_10 0.10009945751278180853371459589003190170060195315645f -#define SDM_LGF4_3_09 -0.11133426586956469049087252991471245116506731682165f -#define SDM_LGF4_3_08 0.12550966952474304242233565481358155815737009883123f -#define SDM_LGF4_3_07 -0.14404989676884611811997107854997096565712336579503f -#define SDM_LGF4_3_06 0.16955717699740818995241965496515342131696958167214f -#define SDM_LGF4_3_05 -0.20738555102867398526627309729140683361141618390038f -#define SDM_LGF4_3_04 0.27058080842778454787900092413529197569368773797968f -#define SDM_LGF4_3_03 -0.40068563438653142846657938717048333025499543078016f -#define SDM_LGF4_3_02 0.82246703342411321823620758332301259460947495060340f -#define SDM_LGF4_3_01 -0.57721566490153286060651209008240243104215933593992f -#define SDM_LGF4_3_00 0.0f - - - - /*************************************************************** - * REGION 4: Above 1 to Below 2 - */ - -#define SDM_LGF4_4_START 1.25f -#define SDM_LGF4_4_OFF 1.4616321449683623412626595423257213284681962040064f -#define SDM_LGF4_4_TRUNC 1u -#define SDM_LGF4_4_RATIONAL 0x0u - -#define SDM_LGF4_4_00 -0.12148629053584960809551455717769158215135617313000f -#define SDM_LGF4_4_01 0.0f -#define SDM_LGF4_4_02 0.48383612272381058521372238085482537020562860838860f -#define SDM_LGF4_4_03 -0.14758772299453070203095509395083641661852764909458f -#define SDM_LGF4_4_04 0.064624940238912752656100346425238557063086033931734f -#define SDM_LGF4_4_05 -0.032788541088481305500850258549331278505894787737970f -#define SDM_LGF4_4_06 0.017970675115210394292863824811126161810628596070981f -#define SDM_LGF4_4_07 -0.010314223036636387275160254800730296612070784399082f -#define SDM_LGF4_4_08 0.0061005360205178884031365656884883648099463048507839f -#define SDM_LGF4_4_09 -0.0036845696083163732546953776004972425913603137160767f -#define SDM_LGF4_4_10 0.00225976482322181046596248251178293952686321035f -#define SDM_LGF4_4_11 -0.00140225144590445083080002880374741201782467331f - - - - /*************************************************************** - * REGION 5: Around 2 - */ - -#define SDM_LGF4_5_START 1.50f -#define SDM_LGF4_5_OFF 2.0f -#define SDM_LGF4_5_TRUNC 1u -#define SDM_LGF4_5_RATIONAL 0x0u - -#define SDM_LGF4_5_00 0.0f -#define SDM_LGF4_5_01 0.42278433509846713939348790991759756895784066406008f -#define SDM_LGF4_5_02 0.32246703342411321823620758332301259460947495060340f -#define SDM_LGF4_5_03 -0.6735230105319809513324605383714999692166209744683e-1f -#define SDM_LGF4_5_04 0.2058080842778454787900092413529197569368773797968e-1f -#define SDM_LGF4_5_05 -0.738555102867398526627309729140683361141618390038e-2f -#define SDM_LGF4_5_06 0.289051033074152328575298829848675465030291500547e-2f -#define SDM_LGF4_5_07 -0.119275391170326097711393569282810851426622293789e-2f -#define SDM_LGF4_5_08 0.50966952474304242233565481358155815737009883123e-3f -#define SDM_LGF4_5_09 -0.22315475845357937976141880360134005395620571054e-3f -#define SDM_LGF4_5_10 0.9945751278180853371459589003190170060195315645e-4f -#define SDM_LGF4_5_11 -0.44926236738133141700207502406357860782403250745e-4f - - - - /*************************************************************** - * REGION 6: Above 2 to Below Stirlings - */ - -#define SDM_LGF4_6_START 2.48f -#define SDM_LGF4_6_OFF 0.0f -#define SDM_LGF4_6_TRUNC 2u -#define SDM_LGF4_6_RATIONAL 0xFFFFFFFFu - -/* Numerator */ -#define SDM_LGF4_6_06 2.8952045264375719070927153893062450394256201846894266f -#define SDM_LGF4_6_07 0.9017557380149600532583460408941390566399250566546766f -#define SDM_LGF4_6_08 -5.0120743649109868270726470406381462995568837028633266f -#define SDM_LGF4_6_09 0.5723176665030477945174549923532715487712277062412760f -#define SDM_LGF4_6_10 0.6107282478237180956153912232438073421489100296366786f -#define SDM_LGF4_6_11 0.0312308625200519550078820867041868696010490562277303f - -/* Denominator */ -#define SDM_LGF4_6_00 1.0f -#define SDM_LGF4_6_01 4.3592151369378598515798083402849838078885877442021500f -#define SDM_LGF4_6_02 2.6245676641191702420707093818412405820501009602499853f -#define SDM_LGF4_6_03 0.3438846837443412565179153619145215759074092780311669f -#define SDM_LGF4_6_04 0.0078092905528158343621764949220712317164193605131159f -#define SDM_LGF4_6_05 -0.000015217018272713076443927141674684568030697337620f - - - - /*************************************************************** - * REGION 7: Stirlings - Above 6.0 - * - */ - -#define SDM_LGF4_7_START 7.80f -#define SDM_LGF4_7_OFF 0.0f -#define SDM_LGF4_7_TRUNC 5u -#define SDM_LGF4_7_RATIONAL 0x0u - -#define SDM_LGF4_7_00 8.3333333333333333333333333333333333333333333333333333333333333333333333E-2f -#define SDM_LGF4_7_01 -2.7777777777777777777777777777777777777777777777777777777777777777777778E-3f -#define SDM_LGF4_7_02 7.9365079365079365079365079365079365079365079365079365079365079365079365E-4f -#define SDM_LGF4_7_03 -5.9523809523809523809523809523809523809523809523809523809523809523809524E-4f -#define SDM_LGF4_7_04 8.4175084175084175084175084175084175084175084175084175084175084175084175E-4f -#define SDM_LGF4_7_05 -1.9175269175269175269175269175269175269175269175269175269175269175269175E-3f -#define SDM_LGF4_7_06 6.4102564102564102564102564102564102564102564102564102564102564102564103E-3f -#define SDM_LGF4_7_07 0.0f -#define SDM_LGF4_7_08 0.0f -#define SDM_LGF4_7_09 0.0f -#define SDM_LGF4_7_10 0.0f -#define SDM_LGF4_7_11 0.0f - - - /* - * Now we load the description of each partition. - */ - - /* Start point for each partition */ - vec_float4 r1start = spu_splats(SDM_LGF4_1_START); - vec_float4 r2start = spu_splats(SDM_LGF4_2_START); - vec_float4 r3start = spu_splats(SDM_LGF4_3_START); - vec_float4 r4start = spu_splats(SDM_LGF4_4_START); - vec_float4 r5start = spu_splats(SDM_LGF4_5_START); - vec_float4 r6start = spu_splats(SDM_LGF4_6_START); - vec_float4 r7start = spu_splats(SDM_LGF4_7_START); - - /* X Offset for each partition */ - vec_float4 xoffseta = (vec_float4) {SDM_LGF4_0_OFF, SDM_LGF4_1_OFF, SDM_LGF4_2_OFF, SDM_LGF4_3_OFF}; - vec_float4 xoffsetb = (vec_float4) {SDM_LGF4_4_OFF, SDM_LGF4_5_OFF, SDM_LGF4_6_OFF, SDM_LGF4_7_OFF}; - - /* Truncation Correction for each partition */ - vec_uint4 tcorra = (vec_uint4) {SDM_LGF4_0_TRUNC, SDM_LGF4_1_TRUNC, SDM_LGF4_2_TRUNC, SDM_LGF4_3_TRUNC}; - vec_uint4 tcorrb = (vec_uint4) {SDM_LGF4_4_TRUNC, SDM_LGF4_5_TRUNC, SDM_LGF4_6_TRUNC, SDM_LGF4_7_TRUNC}; - - /* Is partition a Rational Approximation */ - vec_uint4 israta = (vec_uint4) {SDM_LGF4_0_RATIONAL, SDM_LGF4_1_RATIONAL, SDM_LGF4_2_RATIONAL, SDM_LGF4_3_RATIONAL}; - vec_uint4 isratb = (vec_uint4) {SDM_LGF4_4_RATIONAL, SDM_LGF4_5_RATIONAL, SDM_LGF4_6_RATIONAL, SDM_LGF4_7_RATIONAL}; - - /* The polynomial coefficients for all partitions */ - vec_float4 c00a = (vec_float4) {SDM_LGF4_0_00, SDM_LGF4_1_00, SDM_LGF4_2_00, SDM_LGF4_3_00}; - vec_float4 c01a = (vec_float4) {SDM_LGF4_0_01, SDM_LGF4_1_01, SDM_LGF4_2_01, SDM_LGF4_3_01}; - vec_float4 c02a = (vec_float4) {SDM_LGF4_0_02, SDM_LGF4_1_02, SDM_LGF4_2_02, SDM_LGF4_3_02}; - vec_float4 c03a = (vec_float4) {SDM_LGF4_0_03, SDM_LGF4_1_03, SDM_LGF4_2_03, SDM_LGF4_3_03}; - vec_float4 c04a = (vec_float4) {SDM_LGF4_0_04, SDM_LGF4_1_04, SDM_LGF4_2_04, SDM_LGF4_3_04}; - vec_float4 c05a = (vec_float4) {SDM_LGF4_0_05, SDM_LGF4_1_05, SDM_LGF4_2_05, SDM_LGF4_3_05}; - vec_float4 c06a = (vec_float4) {SDM_LGF4_0_06, SDM_LGF4_1_06, SDM_LGF4_2_06, SDM_LGF4_3_06}; - vec_float4 c07a = (vec_float4) {SDM_LGF4_0_07, SDM_LGF4_1_07, SDM_LGF4_2_07, SDM_LGF4_3_07}; - vec_float4 c08a = (vec_float4) {SDM_LGF4_0_08, SDM_LGF4_1_08, SDM_LGF4_2_08, SDM_LGF4_3_08}; - vec_float4 c09a = (vec_float4) {SDM_LGF4_0_09, SDM_LGF4_1_09, SDM_LGF4_2_09, SDM_LGF4_3_09}; - vec_float4 c10a = (vec_float4) {SDM_LGF4_0_10, SDM_LGF4_1_10, SDM_LGF4_2_10, SDM_LGF4_3_10}; - vec_float4 c11a = (vec_float4) {SDM_LGF4_0_11, SDM_LGF4_1_11, SDM_LGF4_2_11, SDM_LGF4_3_11}; - - vec_float4 c00b = (vec_float4) {SDM_LGF4_4_00, SDM_LGF4_5_00, SDM_LGF4_6_00, SDM_LGF4_7_00}; - vec_float4 c01b = (vec_float4) {SDM_LGF4_4_01, SDM_LGF4_5_01, SDM_LGF4_6_01, SDM_LGF4_7_01}; - vec_float4 c02b = (vec_float4) {SDM_LGF4_4_02, SDM_LGF4_5_02, SDM_LGF4_6_02, SDM_LGF4_7_02}; - vec_float4 c03b = (vec_float4) {SDM_LGF4_4_03, SDM_LGF4_5_03, SDM_LGF4_6_03, SDM_LGF4_7_03}; - vec_float4 c04b = (vec_float4) {SDM_LGF4_4_04, SDM_LGF4_5_04, SDM_LGF4_6_04, SDM_LGF4_7_04}; - vec_float4 c05b = (vec_float4) {SDM_LGF4_4_05, SDM_LGF4_5_05, SDM_LGF4_6_05, SDM_LGF4_7_05}; - vec_float4 c06b = (vec_float4) {SDM_LGF4_4_06, SDM_LGF4_5_06, SDM_LGF4_6_06, SDM_LGF4_7_06}; - vec_float4 c07b = (vec_float4) {SDM_LGF4_4_07, SDM_LGF4_5_07, SDM_LGF4_6_07, SDM_LGF4_7_07}; - vec_float4 c08b = (vec_float4) {SDM_LGF4_4_08, SDM_LGF4_5_08, SDM_LGF4_6_08, SDM_LGF4_7_08}; - vec_float4 c09b = (vec_float4) {SDM_LGF4_4_09, SDM_LGF4_5_09, SDM_LGF4_6_09, SDM_LGF4_7_09}; - vec_float4 c10b = (vec_float4) {SDM_LGF4_4_10, SDM_LGF4_5_10, SDM_LGF4_6_10, SDM_LGF4_7_10}; - vec_float4 c11b = (vec_float4) {SDM_LGF4_4_11, SDM_LGF4_5_11, SDM_LGF4_6_11, SDM_LGF4_7_11}; - - - vec_uchar16 shuffle0 = (vec_uchar16) spu_splats(0x00010203); - vec_uchar16 shuffle1 = (vec_uchar16) spu_splats(0x04050607); - vec_uchar16 shuffle2 = (vec_uchar16) spu_splats(0x08090A0B); - vec_uchar16 shuffle3 = (vec_uchar16) spu_splats(0x0C0D0E0F); - vec_uchar16 shuffle4 = (vec_uchar16) spu_splats(0x10111213); - vec_uchar16 shuffle5 = (vec_uchar16) spu_splats(0x14151617); - vec_uchar16 shuffle6 = (vec_uchar16) spu_splats(0x18191A1B); - vec_uchar16 shuffle7 = (vec_uchar16) spu_splats(0x1C1D1E1F); - - - /* - * Determine the shuffle pattern based on which partition - * each element of x is in. - */ - - vec_uchar16 gt_r1start = (vec_uchar16)spu_cmpgt(xabs, r1start); - vec_uchar16 gt_r2start = (vec_uchar16)spu_cmpgt(xabs, r2start); - vec_uchar16 gt_r3start = (vec_uchar16)spu_cmpgt(xabs, r3start); - vec_uchar16 gt_r4start = (vec_uchar16)spu_cmpgt(xabs, r4start); - vec_uchar16 gt_r5start = (vec_uchar16)spu_cmpgt(xabs, r5start); - vec_uchar16 gt_r6start = (vec_uchar16)spu_cmpgt(xabs, r6start); - vec_uchar16 gt_r7start = (vec_uchar16)spu_cmpgt(xabs, r7start); - - vec_uchar16 shufflepattern; - shufflepattern = spu_sel(shuffle0, shuffle1, gt_r1start); - shufflepattern = spu_sel(shufflepattern, shuffle2, gt_r2start); - shufflepattern = spu_sel(shufflepattern, shuffle3, gt_r3start); - shufflepattern = spu_sel(shufflepattern, shuffle4, gt_r4start); - shufflepattern = spu_sel(shufflepattern, shuffle5, gt_r5start); - shufflepattern = spu_sel(shufflepattern, shuffle6, gt_r6start); - shufflepattern = spu_sel(shufflepattern, shuffle7, gt_r7start); - - - - /* Use the shuffle pattern to select the coefficients */ - - vec_float4 coeff_00 = spu_shuffle(c00a, c00b, shufflepattern); - vec_float4 coeff_01 = spu_shuffle(c01a, c01b, shufflepattern); - vec_float4 coeff_02 = spu_shuffle(c02a, c02b, shufflepattern); - vec_float4 coeff_03 = spu_shuffle(c03a, c03b, shufflepattern); - vec_float4 coeff_04 = spu_shuffle(c04a, c04b, shufflepattern); - vec_float4 coeff_06 = spu_shuffle(c06a, c06b, shufflepattern); - vec_float4 coeff_07 = spu_shuffle(c07a, c07b, shufflepattern); - vec_float4 coeff_05 = spu_shuffle(c05a, c05b, shufflepattern); - vec_float4 coeff_08 = spu_shuffle(c08a, c08b, shufflepattern); - vec_float4 coeff_09 = spu_shuffle(c09a, c09b, shufflepattern); - vec_float4 coeff_10 = spu_shuffle(c10a, c10b, shufflepattern); - vec_float4 coeff_11 = spu_shuffle(c11a, c11b, shufflepattern); - - vec_float4 xoffset = spu_shuffle(xoffseta, xoffsetb, shufflepattern); - vec_uint4 tcorrection = spu_shuffle(tcorra, tcorrb, shufflepattern); - vec_uint4 isrational = spu_shuffle(israta, isratb, shufflepattern); - - /* - * We've completed the coeff. setup. Now we actually do the - * approximation below. - */ - - /* Adjust x value here (for approximations about a point) */ - vec_float4 xappr = spu_sub(xabs, xoffset); - - /* If in Stirling partition, do some setup before the madds */ - xappr = spu_sel(xappr, inv_xsqu, (vector unsigned int)gt_r7start); - - - - /* Now we do the multiplies - either a big polynomial or - * a rational approximation. Use Horner's method. - */ - result = coeff_11; - result = spu_madd(xappr, result, coeff_10); - result = spu_madd(xappr, result, coeff_09); - result = spu_madd(xappr, result, coeff_08); - result = spu_madd(xappr, result, coeff_07); - result = spu_madd(xappr, result, coeff_06); - - /* For rational approximations, we save numerator. */ - vec_float4 resultn = result; - - /* For rational appr,, reset result for calculation of denominator. */ - result = spu_sel(result, spu_splats(0.0f), isrational); - - result = spu_madd(xappr, result, coeff_05); - result = spu_madd(xappr, result, coeff_04); - result = spu_madd(xappr, result, coeff_03); - result = spu_madd(xappr, result, coeff_02); - result = spu_madd(xappr, result, coeff_01); - result = spu_madd(xappr, result, coeff_00); - - /* Select either the polynomial or rational result */ - result = spu_sel(result, _divf4(resultn, result), isrational); - - /* - * Now we have to do a bit of additional calculations for - * partitions that weren't simple polynomial or rational - * approximations. - */ - - /* Finish the Near 0 formula */ - result = spu_sel(spu_sub(result, ln_x), result, (vector unsigned int)gt_r1start); - - /* Finish Stirling's Approximation */ - vec_float4 resultstirling = spu_madd(spu_sub(xabs, spu_splats(0.5f)), ln_x, halflog2pi); - resultstirling = spu_sub(resultstirling, xabs); - resultstirling = spu_add(spu_mul(result,inv_x), resultstirling); - result = spu_sel(result, resultstirling, (vector unsigned int)gt_r7start); - - - /* Adjust due to systematic truncation */ - result = (vec_float4)spu_add((vec_uint4)result, tcorrection); - - - /* - * Approximation for Negative X - * - * Use reflection relation: - * - * gamma(x) * gamma(-x) = -pi/(x sin(pi x)) - * - * lgamma(x) = log(pi/(-x sin(pi x))) - lgamma(-x) - * - */ - vec_float4 nresult = spu_mul(x, _sinf4(spu_mul(x, pi))); - nresult = spu_andc(nresult, sign_maskf); - nresult = spu_sub(logpi, spu_add(result, _logf4(nresult))); - nresult = (vec_float4)spu_add((vec_uint4)nresult, spu_splats(1u)); - - result = spu_sel(nresult, result, gt0); - - - /* - * Special Cases - */ - - /* x = non-positive integer, return infinity */ - vec_uint4 isnonposint = spu_andc(spu_cmpeq(x, xtrunc), gt0); - result = spu_sel(result, inff, spu_or(isnonposint, spu_cmpgt(x, spu_splats(4.2e36f)))); - result = spu_sel(result, inff, spu_andc(spu_cmpeq(x, xtrunc), gt0)); - - /* Zeros of function */ - result = spu_sel(result, zerof, ret_zero); - - /* x = +/- infinity or nan, return |x| */ - result = spu_sel(result, xabs, isnaninf); - - - return result; -} - -#endif /* _LGAMMAF4_H_ */ -#endif /* __SPU__ */ |