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Diffstat (limited to 'newlib/libm/machine/spu/headers/erff4.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/erff4.h | 407 |
1 files changed, 0 insertions, 407 deletions
diff --git a/newlib/libm/machine/spu/headers/erff4.h b/newlib/libm/machine/spu/headers/erff4.h deleted file mode 100644 index fa9c0655d..000000000 --- a/newlib/libm/machine/spu/headers/erff4.h +++ /dev/null @@ -1,407 +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 _ERFF4_H_ -#define _ERFF4_H_ 1 - -#include <spu_intrinsics.h> - -/* - * FUNCTION - * vector float _erff4(vector float x) - * - * DESCRIPTION - * The erff4 function computes the error function of each element of x. - * - * C99 Special Cases: - * - erf(+0) returns +0 - * - erf(-0) returns -0 - * - erf(+infinite) returns +1 - * - erf(-infinite) returns -1 - * - */ - -static __inline vector float _erff4(vector float x) -{ - vec_float4 sign_maskf = spu_splats(-0.0f); - vec_float4 zerof = spu_splats(0.0f); - vec_float4 onef = spu_splats(1.0f); - vec_float4 clamp = spu_splats(3.9199876f); - vec_float4 xabs = spu_andc(x, sign_maskf); - vec_float4 xsign = spu_and(x, sign_maskf); - vec_float4 result; - - - /* - * 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. - */ - - - /*************************************************************** - * REGION 0: Approximation Near 0 from Above - * - */ -#define SDM_ERFF4_0_START 0.0f -#define SDM_ERFF4_0_OFF 0.0f -#define SDM_ERFF4_0_TRUNC 2u - -#define SDM_ERFF4_0_00 0.0f -#define SDM_ERFF4_0_01 1.12837916709551257389615890312154f -#define SDM_ERFF4_0_02 0.0f -#define SDM_ERFF4_0_03 -0.37612638903183752463205296770955f -#define SDM_ERFF4_0_04 0.0f -#define SDM_ERFF4_0_05 0.11283791670955125738961589031073f -#define SDM_ERFF4_0_06 0.0f -#define SDM_ERFF4_0_07 -0.02686617064513125175943235483588f -#define SDM_ERFF4_0_08 0.0f -#define SDM_ERFF4_0_09 0.00522397762544218784211184677371f -#define SDM_ERFF4_0_10 0.0f -//#define SDM_ERFF4_0_11 -0.00085483270234508528325466583569f - - - - /*************************************************************** - * REGION 1: Above 0 and Below 1 - */ -#define SDM_ERFF4_1_START 0.07f -#define SDM_ERFF4_1_OFF 0.0625f -#define SDM_ERFF4_1_TRUNC 1u - -#define SDM_ERFF4_1_00 0.0704319777223870780505900559232967439190042883f -#define SDM_ERFF4_1_01 1.1239800336253906104888456836298420746260842545f -#define SDM_ERFF4_1_02 -0.0702487521015869131555528552268651296641302713f -#define SDM_ERFF4_1_03 -0.3717329798708974154481338589088279778060226856f -#define SDM_ERFF4_1_04 0.0350329063214945152846051348331892508611482993f -#define SDM_ERFF4_1_05 0.1106440713032318617523250293018186620702780982f -#define SDM_ERFF4_1_06 -0.0116471931712158678624014740659716890227703402f -#define SDM_ERFF4_1_07 -0.0261358409084263503958678377968739965222786482f -#define SDM_ERFF4_1_08 0.0029041996223118476954500365511415181291113910f -#define SDM_ERFF4_1_09 0.0050416329596619035812041623972929782386498567f -#define SDM_ERFF4_1_10 -0.0005793225670734356072895029723913210064918149f -//#define SDM_ERFF4_1_11 -0.0008184112733188406359323913130525859730689332f - - - - /*************************************************************** - * REGION 2: - */ -#define SDM_ERFF4_2_START 0.13f -#define SDM_ERFF4_2_OFF 0.1875f -#define SDM_ERFF4_2_TRUNC 1u - -#define SDM_ERFF4_2_00 0.2091176770593758483008706390019410965937912290f -#define SDM_ERFF4_2_01 1.0893988034775673230502318110338693557898033315f -#define SDM_ERFF4_2_02 -0.2042622756520438730719184645688505042105881396f -#define SDM_ERFF4_2_03 -0.3376001500360169568827541289401834722369442864f -#define SDM_ERFF4_2_04 0.0997374392832245473983976877777590352590762400f -#define SDM_ERFF4_2_05 0.0937997370645632460099464120987231140266525679f -#define SDM_ERFF4_2_06 -0.0324591340420617488485277008302392706957527828f -#define SDM_ERFF4_2_07 -0.0205943885488331791711970665266474471714543313f -#define SDM_ERFF4_2_08 0.0079208906865255014554772269570592999495375181f -#define SDM_ERFF4_2_09 0.0036744273281123333893101007014150883409965011f -#define SDM_ERFF4_2_10 -0.0015459493690754127608506357908913858038162608f -//#define SDM_ERFF4_2_11 -0.0005485671070180836650399266219057172124875094f - - - - /*************************************************************** - * REGION 3: - */ -#define SDM_ERFF4_3_START 0.25f -#define SDM_ERFF4_3_OFF 0.5f -#define SDM_ERFF4_3_TRUNC 2u - -#define SDM_ERFF4_3_00 0.5204998778130465376827466538919645287364515699f -#define SDM_ERFF4_3_01 0.8787825789354447940937239548244578983625218956f -#define SDM_ERFF4_3_02 -0.4393912894677223970468619774122289491812609947f -#define SDM_ERFF4_3_03 -0.1464637631559074656822873258040763163937536583f -#define SDM_ERFF4_3_04 0.1830797039448843321028591572550953954921920811f -#define SDM_ERFF4_3_05 0.0073231881577953732841143662902038158196876832f -#define SDM_ERFF4_3_06 -0.0500417857449350507747815029830594081011991688f -#define SDM_ERFF4_3_07 0.0054052103069442040906558417856266259621504328f -#define SDM_ERFF4_3_08 0.0100475885141180567975497704160236877764167320f -#define SDM_ERFF4_3_09 -0.0021674118390300459951330548378744759122422210f -#define SDM_ERFF4_3_10 -0.0015694967741624277200510981457278746801387524f -//#define SDM_ERFF4_3_11 0.0004973489167651373192082360776274483020158863f - - - - /*************************************************************** - * REGION 4: - */ -#define SDM_ERFF4_4_START 0.77f -#define SDM_ERFF4_4_OFF 1.0f -#define SDM_ERFF4_4_TRUNC 1u - -#define SDM_ERFF4_4_00 0.8427007929497148693412206350826092590442f -#define SDM_ERFF4_4_01 0.4151074974205947033402682494413373653605f -#define SDM_ERFF4_4_02 -0.4151074974205947033402682494413373653605f -#define SDM_ERFF4_4_03 0.1383691658068649011134227498137791217898f -#define SDM_ERFF4_4_04 0.0691845829034324505567113749068895608946f -#define SDM_ERFF4_4_05 -0.0691845829034324505567113749068895608946f -#define SDM_ERFF4_4_06 0.0046123055268954967037807583271259707263f -#define SDM_ERFF4_4_07 0.0151547181597994891695653487891281895293f -#define SDM_ERFF4_4_08 -0.0047770307242846215860586425530947553951f -#define SDM_ERFF4_4_09 -0.0018851883701199847638468972527538689873f -#define SDM_ERFF4_4_10 0.0012262875805634852347353603488787303121f -//#define SDM_ERFF4_4_11 0.0000855239913717274641321540324726821411f - - - - /*************************************************************** - * REGION 5: - */ -#define SDM_ERFF4_5_START 1.36f -#define SDM_ERFF4_5_OFF 1.875f -#define SDM_ERFF4_5_TRUNC 1u - -#define SDM_ERFF4_5_00 0.99199005767011997029646305969122440092668f -#define SDM_ERFF4_5_01 0.03354582842421607459425032786195496507386f -#define SDM_ERFF4_5_02 -0.06289842829540513986421936474116555951979f -#define SDM_ERFF4_5_03 0.06744109256118439996552409663913862770819f -#define SDM_ERFF4_5_04 -0.04225988151097532834627238568547061029869f -#define SDM_ERFF4_5_05 0.01146258336487617627004706027236136941544f -#define SDM_ERFF4_5_06 0.00410518713321247739022655684589964019683f -#define SDM_ERFF4_5_07 -0.00492839390823910723763257456562751425198f -#define SDM_ERFF4_5_08 0.00143050168737012207687743571780226012058f -#define SDM_ERFF4_5_09 0.00036225644575338665306295794978774160986f -#define SDM_ERFF4_5_10 -0.00039015757824554169745459780322413823624f -//#define SDM_ERFF4_5_11 0.00007372993782406230817649249567932577159f - - - - /*************************************************************** - * REGION 6: - */ -#define SDM_ERFF4_6_START 2.0f -#define SDM_ERFF4_6_OFF 2.5f -#define SDM_ERFF4_6_TRUNC 1u - -#define SDM_ERFF4_6_00 0.999593047982555041060435784260025087279f -#define SDM_ERFF4_6_01 0.002178284230352709720386678564097264007f -#define SDM_ERFF4_6_02 -0.005445710575881774300966696410243160031f -#define SDM_ERFF4_6_03 0.008350089549685387261482267829039512051f -#define SDM_ERFF4_6_04 -0.008622375078479475976530602649551670054f -#define SDM_ERFF4_6_05 0.006117348213573859798085922300839816434f -#define SDM_ERFF4_6_06 -0.002798490157050356237996774544152735014f -#define SDM_ERFF4_6_07 0.000542410061327906884739143174194854432f -#define SDM_ERFF4_6_08 0.000260670173895134533751630061303802055f -#define SDM_ERFF4_6_09 -0.000250285386311056635227961206817778392f -#define SDM_ERFF4_6_10 0.000078801328907504400502579703621546608f -//#define SDM_ERFF4_6_11 5.137004620216358263402877651297096663210e-6f - - - - /*************************************************************** - * REGION 7: - */ -#define SDM_ERFF4_7_START 2.75f -#define SDM_ERFF4_7_OFF 3.5f -#define SDM_ERFF4_7_TRUNC 1u - -#define SDM_ERFF4_7_00 0.999999256901627658587254476316243904363263f -#define SDM_ERFF4_7_01 5.399426777384782511586818937495781413007869e-6f -#define SDM_ERFF4_7_02 -0.000018897993720846738790553866281235234945f -#define SDM_ERFF4_7_03 0.000042295509756180796340763415010383621069f -#define SDM_ERFF4_7_04 -0.000067717810833034147332818020841092925222f -#define SDM_ERFF4_7_05 0.000082116282239393567363716204674415008991f -#define SDM_ERFF4_7_06 -0.000077744246390483389302250766562526063763f -#define SDM_ERFF4_7_07 0.000058192750619199206596604051163855823527f -#define SDM_ERFF4_7_08 -0.000034259175422410008064403380504975403351f -#define SDM_ERFF4_7_09 0.000015330768263696827211862952666453348031f -#define SDM_ERFF4_7_10 -4.641017709492666503521243665632827470977627e-6f -//#define SDM_ERFF4_7_11 4.447037356176705948450355327103423490366212e-7f - - - - - - /*************************************************************** - * Now we load the description of each partition. - */ - - /* Start point for each partition */ - vec_float4 r1start = spu_splats(SDM_ERFF4_1_START); - vec_float4 r2start = spu_splats(SDM_ERFF4_2_START); - vec_float4 r3start = spu_splats(SDM_ERFF4_3_START); - vec_float4 r4start = spu_splats(SDM_ERFF4_4_START); - vec_float4 r5start = spu_splats(SDM_ERFF4_5_START); - vec_float4 r6start = spu_splats(SDM_ERFF4_6_START); - vec_float4 r7start = spu_splats(SDM_ERFF4_7_START); - - /* X Offset for each partition */ - vec_float4 xoffseta = (vec_float4) {SDM_ERFF4_0_OFF, SDM_ERFF4_1_OFF, SDM_ERFF4_2_OFF, SDM_ERFF4_3_OFF}; - vec_float4 xoffsetb = (vec_float4) {SDM_ERFF4_4_OFF, SDM_ERFF4_5_OFF, SDM_ERFF4_6_OFF, SDM_ERFF4_7_OFF}; - - /* Truncation Correction for each partition */ - vec_uint4 tcorra = (vec_uint4) {SDM_ERFF4_0_TRUNC, SDM_ERFF4_1_TRUNC, SDM_ERFF4_2_TRUNC, SDM_ERFF4_3_TRUNC}; - vec_uint4 tcorrb = (vec_uint4) {SDM_ERFF4_4_TRUNC, SDM_ERFF4_5_TRUNC, SDM_ERFF4_6_TRUNC, SDM_ERFF4_7_TRUNC}; - - /* The coefficients for each partition */ - vec_float4 c00a = (vec_float4) {SDM_ERFF4_0_00, SDM_ERFF4_1_00, SDM_ERFF4_2_00, SDM_ERFF4_3_00}; - vec_float4 c01a = (vec_float4) {SDM_ERFF4_0_01, SDM_ERFF4_1_01, SDM_ERFF4_2_01, SDM_ERFF4_3_01}; - vec_float4 c02a = (vec_float4) {SDM_ERFF4_0_02, SDM_ERFF4_1_02, SDM_ERFF4_2_02, SDM_ERFF4_3_02}; - vec_float4 c03a = (vec_float4) {SDM_ERFF4_0_03, SDM_ERFF4_1_03, SDM_ERFF4_2_03, SDM_ERFF4_3_03}; - vec_float4 c04a = (vec_float4) {SDM_ERFF4_0_04, SDM_ERFF4_1_04, SDM_ERFF4_2_04, SDM_ERFF4_3_04}; - vec_float4 c05a = (vec_float4) {SDM_ERFF4_0_05, SDM_ERFF4_1_05, SDM_ERFF4_2_05, SDM_ERFF4_3_05}; - vec_float4 c06a = (vec_float4) {SDM_ERFF4_0_06, SDM_ERFF4_1_06, SDM_ERFF4_2_06, SDM_ERFF4_3_06}; - vec_float4 c07a = (vec_float4) {SDM_ERFF4_0_07, SDM_ERFF4_1_07, SDM_ERFF4_2_07, SDM_ERFF4_3_07}; - vec_float4 c08a = (vec_float4) {SDM_ERFF4_0_08, SDM_ERFF4_1_08, SDM_ERFF4_2_08, SDM_ERFF4_3_08}; - vec_float4 c09a = (vec_float4) {SDM_ERFF4_0_09, SDM_ERFF4_1_09, SDM_ERFF4_2_09, SDM_ERFF4_3_09}; - vec_float4 c10a = (vec_float4) {SDM_ERFF4_0_10, SDM_ERFF4_1_10, SDM_ERFF4_2_10, SDM_ERFF4_3_10}; - - vec_float4 c00b = (vec_float4) {SDM_ERFF4_4_00, SDM_ERFF4_5_00, SDM_ERFF4_6_00, SDM_ERFF4_7_00}; - vec_float4 c01b = (vec_float4) {SDM_ERFF4_4_01, SDM_ERFF4_5_01, SDM_ERFF4_6_01, SDM_ERFF4_7_01}; - vec_float4 c02b = (vec_float4) {SDM_ERFF4_4_02, SDM_ERFF4_5_02, SDM_ERFF4_6_02, SDM_ERFF4_7_02}; - vec_float4 c03b = (vec_float4) {SDM_ERFF4_4_03, SDM_ERFF4_5_03, SDM_ERFF4_6_03, SDM_ERFF4_7_03}; - vec_float4 c04b = (vec_float4) {SDM_ERFF4_4_04, SDM_ERFF4_5_04, SDM_ERFF4_6_04, SDM_ERFF4_7_04}; - vec_float4 c05b = (vec_float4) {SDM_ERFF4_4_05, SDM_ERFF4_5_05, SDM_ERFF4_6_05, SDM_ERFF4_7_05}; - vec_float4 c06b = (vec_float4) {SDM_ERFF4_4_06, SDM_ERFF4_5_06, SDM_ERFF4_6_06, SDM_ERFF4_7_06}; - vec_float4 c07b = (vec_float4) {SDM_ERFF4_4_07, SDM_ERFF4_5_07, SDM_ERFF4_6_07, SDM_ERFF4_7_07}; - vec_float4 c08b = (vec_float4) {SDM_ERFF4_4_08, SDM_ERFF4_5_08, SDM_ERFF4_6_08, SDM_ERFF4_7_08}; - vec_float4 c09b = (vec_float4) {SDM_ERFF4_4_09, SDM_ERFF4_5_09, SDM_ERFF4_6_09, SDM_ERFF4_7_09}; - vec_float4 c10b = (vec_float4) {SDM_ERFF4_4_10, SDM_ERFF4_5_10, SDM_ERFF4_6_10, SDM_ERFF4_7_10}; - - - 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_cmpabsgt(x, r1start); - vec_uchar16 gt_r2start = (vec_uchar16)spu_cmpabsgt(x, r2start); - vec_uchar16 gt_r3start = (vec_uchar16)spu_cmpabsgt(x, r3start); - vec_uchar16 gt_r4start = (vec_uchar16)spu_cmpabsgt(x, r4start); - vec_uchar16 gt_r5start = (vec_uchar16)spu_cmpabsgt(x, r5start); - vec_uchar16 gt_r6start = (vec_uchar16)spu_cmpabsgt(x, r6start); - vec_uchar16 gt_r7start = (vec_uchar16)spu_cmpabsgt(x, 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_10 = spu_shuffle(c10a, c10b, shufflepattern); - vec_float4 coeff_09 = spu_shuffle(c09a, c09b, shufflepattern); - vec_float4 coeff_08 = spu_shuffle(c08a, c08b, shufflepattern); - vec_float4 coeff_07 = spu_shuffle(c07a, c07b, shufflepattern); - vec_float4 coeff_06 = spu_shuffle(c06a, c06b, shufflepattern); - vec_float4 coeff_05 = spu_shuffle(c05a, c05b, shufflepattern); - vec_float4 coeff_04 = spu_shuffle(c04a, c04b, shufflepattern); - vec_float4 coeff_03 = spu_shuffle(c03a, c03b, shufflepattern); - vec_float4 coeff_02 = spu_shuffle(c02a, c02b, shufflepattern); - vec_float4 coeff_01 = spu_shuffle(c01a, c01b, shufflepattern); - vec_float4 coeff_00 = spu_shuffle(c00a, c00b, shufflepattern); - - vec_float4 xoffset = spu_shuffle(xoffseta, xoffsetb, shufflepattern); - vec_uint4 tcorrection = spu_shuffle(tcorra, tcorrb, 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); - - - /* Now we do the multiplies. - * Use Horner's method. - */ - 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); - 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); - - - /* Adjust due to systematic truncation. Note that the correction - * value is always non-negative, so the result is cast as uint - * to do the adjustment. - */ - result = (vec_float4)spu_add((vec_uint4)result, tcorrection); - - - /* - * Special Cases - */ - - /* Erf(0) = 0 */ - result = spu_sel(result, zerof, spu_cmpeq(xabs, zerof)); - - /* Erf(infinity) = 1 */ - result = spu_sel(result, onef, spu_cmpgt(xabs, clamp)); - - - /* Preserve sign in result, since erf(-x) = -erf(x) */ - result = spu_or(result, xsign); - - return result; -} - -#endif /* _ERFF4_H_ */ -#endif /* __SPU__ */ |