Retro68/gcc/newlib/libm/machine/spu/headers/erfcf4.h
2012-03-27 01:51:53 +02:00

440 lines
20 KiB
C

/* -------------------------------------------------------------- */
/* (C)Copyright 2007,2008, */
/* International Business Machines Corporation */
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/* PROLOG END TAG zYx */
#ifdef __SPU__
#ifndef _ERFCF4_H_
#define _ERFCF4_H_ 1
#include <spu_intrinsics.h>
#include "erff4.h"
#include "erf_utils.h"
#include "recipf4.h"
#include "expf4.h"
#include "divf4.h"
/*
* FUNCTION
* vector float _erfcf4(vector float x)
*
* DESCRIPTION
* The erfcf4 function computes the complement error function of each element of x.
*
* C99 Special Cases:
* - erfc(+0) returns +1
* - erfc(-0) returns +1
* - erfc(+infinite) returns +0
* - erfc(-infinite) returns +2
*
*/
static __inline vector float _erfcf4(vector float x)
{
vec_float4 sign_maskf = spu_splats(-0.0f);
vec_float4 zerof = spu_splats(0.0f);
vec_float4 onehalff = spu_splats(0.5f);
vec_float4 onef = spu_splats(1.0f);
vec_float4 twof = spu_splats(2.0f);
vec_float4 clamp = spu_splats(10.0542f); // Erfc = 0 above this (in single precision)
vec_float4 xabs = spu_andc(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_ERFCF4_0_START 0.0f
#define SDM_ERFCF4_0_OFF 0.0f
#define SDM_ERFCF4_0_TRUNC 1u
#define SDM_ERFCF4_0_00 0.9999999999999949135f
#define SDM_ERFCF4_0_01 -1.1283791670931702608f
#define SDM_ERFCF4_0_02 -1.8051894620430502228e-10f
#define SDM_ERFCF4_0_03 0.37612639455729408814f
#define SDM_ERFCF4_0_04 -8.8929793006257568262e-8f
#define SDM_ERFCF4_0_05 -0.11283705324835578294f
#define SDM_ERFCF4_0_06 -5.4670494993502827210e-6f
#define SDM_ERFCF4_0_07 0.026889802515535093351f
#define SDM_ERFCF4_0_08 -0.000071498114084857387620f
#define SDM_ERFCF4_0_09 -0.0050714210985129775210f
#define SDM_ERFCF4_0_10 -0.00022683372291701701701f
#define SDM_ERFCF4_0_11 0.0010796064437231401311f
#define SDM_ERFCF4_0_12 -0.00012982218714593684809f
#define SDM_ERFCF4_0_13 -0.00010102962499433144847f
#define SDM_ERFCF4_0_14 0.000025784829228223517886f
/***************************************************************
* REGION 1: Near 1
*/
#define SDM_ERFCF4_1_START 0.88f
#define SDM_ERFCF4_1_OFF 1.125f
#define SDM_ERFCF4_1_TRUNC 1u
#define SDM_ERFCF4_1_00 0.111611768298292224f
#define SDM_ERFCF4_1_01 -0.318273958500769283f
#define SDM_ERFCF4_1_02 0.358058203313365464f
#define SDM_ERFCF4_1_03 -0.162452332984767661f
#define SDM_ERFCF4_1_04 -0.0279732971338566734f
#define SDM_ERFCF4_1_05 0.0613236836056658061f
#define SDM_ERFCF4_1_06 -0.0155368354497628942f
#define SDM_ERFCF4_1_07 -0.00960689422582997228f
#define SDM_ERFCF4_1_08 0.00603126088310672760f
#define SDM_ERFCF4_1_09 0.000360191989801368303f
#define SDM_ERFCF4_1_10 -0.00115326735470205975f
#define SDM_ERFCF4_1_11 0.000176955087857924673f
#define SDM_ERFCF4_1_12 0.000141558399011799664f
#define SDM_ERFCF4_1_13 -0.0000494556968345700811f
#define SDM_ERFCF4_1_14 0.0f
/***************************************************************
* REGION 2:
*/
#define SDM_ERFCF4_2_START 1.50f
#define SDM_ERFCF4_2_OFF 1.75f
#define SDM_ERFCF4_2_TRUNC 0u
#define SDM_ERFCF4_2_00 0.0133283287808175777f
#define SDM_ERFCF4_2_01 -0.0527749959301503715f
#define SDM_ERFCF4_2_02 0.0923562428777631589f
#define SDM_ERFCF4_2_03 -0.0901572847140068856f
#define SDM_ERFCF4_2_04 0.0481022098321682995f
#define SDM_ERFCF4_2_05 -0.00662436146831574865f
#define SDM_ERFCF4_2_06 -0.00896304509872736070f
#define SDM_ERFCF4_2_07 0.00605875147039124009f
#define SDM_ERFCF4_2_08 -0.000730051247140304322f
#define SDM_ERFCF4_2_09 -0.000894181745354844871f
#define SDM_ERFCF4_2_10 0.000442750499254694174f
#define SDM_ERFCF4_2_11 5.44549038611738718e-6f
#define SDM_ERFCF4_2_12 -0.0000686716770072681921f
#define SDM_ERFCF4_2_13 0.0000177205746526325771f
#define SDM_ERFCF4_2_14 0.0f
/***************************************************************
* REGION 3:
*/
#define SDM_ERFCF4_3_START 2.0f
#define SDM_ERFCF4_3_OFF 2.25f
#define SDM_ERFCF4_3_TRUNC 1u
#define SDM_ERFCF4_3_00 0.00146271658668117865f
#define SDM_ERFCF4_3_01 -0.00714231902201798319f
#define SDM_ERFCF4_3_02 0.0160702177995404628f
#define SDM_ERFCF4_3_03 -0.0217245536919713662f
#define SDM_ERFCF4_3_04 0.0190833836369542972f
#define SDM_ERFCF4_3_05 -0.0106576791656674587f
#define SDM_ERFCF4_3_06 0.00290435707106278173f
#define SDM_ERFCF4_3_07 0.000670455969951892490f
#define SDM_ERFCF4_3_08 -0.000999493712611392590f
#define SDM_ERFCF4_3_09 0.000369380417703939461f
#define SDM_ERFCF4_3_10 0.0000114665831641414663f
#define SDM_ERFCF4_3_11 -0.0000651349432823388933f
#define SDM_ERFCF4_3_12 0.0000226882426454011034f
#define SDM_ERFCF4_3_13 1.33207467538330703e-6f
#define SDM_ERFCF4_3_14 0.0f
/***************************************************************
* REGION 4:
*/
#define SDM_ERFCF4_4_START 2.46f
#define SDM_ERFCF4_4_OFF 2.75f
#define SDM_ERFCF4_4_TRUNC 1u
#define SDM_ERFCF4_4_00 0.000100621922119681351f
#define SDM_ERFCF4_4_01 -0.000586277247093792324f
#define SDM_ERFCF4_4_02 0.00161226242950792873f
#define SDM_ERFCF4_4_03 -0.00276038870506660526f
#define SDM_ERFCF4_4_04 0.00325811365963060576f
#define SDM_ERFCF4_4_05 -0.00275580841407368484f
#define SDM_ERFCF4_4_06 0.00165732740366604948f
#define SDM_ERFCF4_4_07 -0.000646040956672447276f
#define SDM_ERFCF4_4_08 0.0000890115712124397128f
#define SDM_ERFCF4_4_09 0.0000712231147231515843f
#define SDM_ERFCF4_4_10 -0.0000549969924243893176f
#define SDM_ERFCF4_4_11 0.0000158438047120425837f
#define SDM_ERFCF4_4_12 1.07113381370613701e-6f
#define SDM_ERFCF4_4_13 0.0f
#define SDM_ERFCF4_4_14 0.0f
/***************************************************************
* REGION 5:
*/
#define SDM_ERFCF4_5_START 2.95f
#define SDM_ERFCF4_5_OFF 3.25f
#define SDM_ERFCF4_5_TRUNC 1u
#define SDM_ERFCF4_5_00 4.30277946372736864e-6f
#define SDM_ERFCF4_5_01 -0.0000291890253835816989f
#define SDM_ERFCF4_5_02 0.0000948643324966405230f
#define SDM_ERFCF4_5_03 -0.000195809711948193862f
#define SDM_ERFCF4_5_04 0.000286569337750268210f
#define SDM_ERFCF4_5_05 -0.000313797225490890491f
#define SDM_ERFCF4_5_06 0.000263528504215059911f
#define SDM_ERFCF4_5_07 -0.000169991414511391200f
#define SDM_ERFCF4_5_08 0.0000816476305301353867f
#define SDM_ERFCF4_5_09 -0.0000259138470056606003f
#define SDM_ERFCF4_5_10 2.32886623721087698e-6f
#define SDM_ERFCF4_5_11 2.86429946075621661e-6f
#define SDM_ERFCF4_5_12 0.0f
#define SDM_ERFCF4_5_13 0.0f
#define SDM_ERFCF4_5_14 0.0f
/***************************************************************
* REGION 6:
*/
#define SDM_ERFCF4_6_START 3.45f
#define SDM_ERFCF4_6_OFF 3.625f
#define SDM_ERFCF4_6_TRUNC 1u
#define SDM_ERFCF4_6_00 2.95140192507759025e-7f
#define SDM_ERFCF4_6_01 -2.21592028463311237e-6f
#define SDM_ERFCF4_6_02 8.03271103179503198e-6f
#define SDM_ERFCF4_6_03 -0.0000186737448986269582f
#define SDM_ERFCF4_6_04 0.0000311685922848296785f
#define SDM_ERFCF4_6_05 -0.0000395923353434149457f
#define SDM_ERFCF4_6_06 0.0000395291139306718091f
#define SDM_ERFCF4_6_07 -0.0000315141214892874786f
#define SDM_ERFCF4_6_08 0.0000200891481859513911f
#define SDM_ERFCF4_6_09 -0.0000100551790824327187f
#define SDM_ERFCF4_6_10 3.71860071281680690e-6f
#define SDM_ERFCF4_6_11 -8.05502983594814356e-7f
#define SDM_ERFCF4_6_12 -7.67662978382552699e-8f
#define SDM_ERFCF4_6_13 1.56408548403936681e-7f
#define SDM_ERFCF4_6_14 0.0f
#define SDM_ERFCF4_6_15 0.0f
#define SDM_ERFCF4_6_16 0.0f
#define SDM_ERFCF4_6_17 0.0f
/***************************************************************
* REGION 7:
*/
#define SDM_ERFCF4_7_START 3.55f
#define SDM_ERFCF4_7_OFF 4.0f
#define SDM_ERFCF4_7_TRUNC 2u
#define SDM_ERFCF4_7_00 1.54172579002800189e-8f
#define SDM_ERFCF4_7_01 -1.2698234671866558e-7f
#define SDM_ERFCF4_7_02 5.0792938687466233e-7f
#define SDM_ERFCF4_7_03 -1.3121509160928777e-6f
#define SDM_ERFCF4_7_04 2.4549920365608679e-6f
#define SDM_ERFCF4_7_05 -3.5343419836695254e-6f
#define SDM_ERFCF4_7_06 4.0577914351431357e-6f
#define SDM_ERFCF4_7_07 -3.7959659297660776e-6f
#define SDM_ERFCF4_7_08 2.9264391936639771e-6f
#define SDM_ERFCF4_7_09 -1.8631747969134646e-6f
#define SDM_ERFCF4_7_10 9.702839808793979e-7f
#define SDM_ERFCF4_7_11 -4.0077792841735885e-7f
#define SDM_ERFCF4_7_12 1.2017256123590621e-7f
#define SDM_ERFCF4_7_13 -1.7432381111955779e-8f
#define SDM_ERFCF4_7_14 0.0f
/***************************************************************
* Now we load the description of each partition.
*/
/* Start point for each partition */
vec_float4 r1start = spu_splats(SDM_ERFCF4_1_START);
vec_float4 r2start = spu_splats(SDM_ERFCF4_2_START);
vec_float4 r3start = spu_splats(SDM_ERFCF4_3_START);
vec_float4 r4start = spu_splats(SDM_ERFCF4_4_START);
vec_float4 r5start = spu_splats(SDM_ERFCF4_5_START);
vec_float4 r6start = spu_splats(SDM_ERFCF4_6_START);
vec_float4 r7start = spu_splats(SDM_ERFCF4_7_START);
/* X Offset for each partition */
vec_float4 xoffseta = (vec_float4) {SDM_ERFCF4_0_OFF, SDM_ERFCF4_1_OFF, SDM_ERFCF4_2_OFF, SDM_ERFCF4_3_OFF};
vec_float4 xoffsetb = (vec_float4) {SDM_ERFCF4_4_OFF, SDM_ERFCF4_5_OFF, SDM_ERFCF4_6_OFF, SDM_ERFCF4_7_OFF};
/* Truncation Correction for each partition */
vec_uint4 tcorra = (vec_uint4) {SDM_ERFCF4_0_TRUNC, SDM_ERFCF4_1_TRUNC, SDM_ERFCF4_2_TRUNC, SDM_ERFCF4_3_TRUNC};
vec_uint4 tcorrb = (vec_uint4) {SDM_ERFCF4_4_TRUNC, SDM_ERFCF4_5_TRUNC, SDM_ERFCF4_6_TRUNC, SDM_ERFCF4_7_TRUNC};
/* The coefficients for each partition */
vec_float4 c00a = (vec_float4) {SDM_ERFCF4_0_00, SDM_ERFCF4_1_00, SDM_ERFCF4_2_00, SDM_ERFCF4_3_00};
vec_float4 c01a = (vec_float4) {SDM_ERFCF4_0_01, SDM_ERFCF4_1_01, SDM_ERFCF4_2_01, SDM_ERFCF4_3_01};
vec_float4 c02a = (vec_float4) {SDM_ERFCF4_0_02, SDM_ERFCF4_1_02, SDM_ERFCF4_2_02, SDM_ERFCF4_3_02};
vec_float4 c03a = (vec_float4) {SDM_ERFCF4_0_03, SDM_ERFCF4_1_03, SDM_ERFCF4_2_03, SDM_ERFCF4_3_03};
vec_float4 c04a = (vec_float4) {SDM_ERFCF4_0_04, SDM_ERFCF4_1_04, SDM_ERFCF4_2_04, SDM_ERFCF4_3_04};
vec_float4 c05a = (vec_float4) {SDM_ERFCF4_0_05, SDM_ERFCF4_1_05, SDM_ERFCF4_2_05, SDM_ERFCF4_3_05};
vec_float4 c06a = (vec_float4) {SDM_ERFCF4_0_06, SDM_ERFCF4_1_06, SDM_ERFCF4_2_06, SDM_ERFCF4_3_06};
vec_float4 c07a = (vec_float4) {SDM_ERFCF4_0_07, SDM_ERFCF4_1_07, SDM_ERFCF4_2_07, SDM_ERFCF4_3_07};
vec_float4 c08a = (vec_float4) {SDM_ERFCF4_0_08, SDM_ERFCF4_1_08, SDM_ERFCF4_2_08, SDM_ERFCF4_3_08};
vec_float4 c09a = (vec_float4) {SDM_ERFCF4_0_09, SDM_ERFCF4_1_09, SDM_ERFCF4_2_09, SDM_ERFCF4_3_09};
vec_float4 c10a = (vec_float4) {SDM_ERFCF4_0_10, SDM_ERFCF4_1_10, SDM_ERFCF4_2_10, SDM_ERFCF4_3_10};
vec_float4 c11a = (vec_float4) {SDM_ERFCF4_0_11, SDM_ERFCF4_1_11, SDM_ERFCF4_2_11, SDM_ERFCF4_3_11};
vec_float4 c12a = (vec_float4) {SDM_ERFCF4_0_12, SDM_ERFCF4_1_12, SDM_ERFCF4_2_12, SDM_ERFCF4_3_12};
vec_float4 c13a = (vec_float4) {SDM_ERFCF4_0_13, SDM_ERFCF4_1_13, SDM_ERFCF4_2_13, SDM_ERFCF4_3_13};
vec_float4 c14a = (vec_float4) {SDM_ERFCF4_0_14, SDM_ERFCF4_1_14, SDM_ERFCF4_2_14, SDM_ERFCF4_3_14};
vec_float4 c00b = (vec_float4) {SDM_ERFCF4_4_00, SDM_ERFCF4_5_00, SDM_ERFCF4_6_00, SDM_ERFCF4_7_00};
vec_float4 c01b = (vec_float4) {SDM_ERFCF4_4_01, SDM_ERFCF4_5_01, SDM_ERFCF4_6_01, SDM_ERFCF4_7_01};
vec_float4 c02b = (vec_float4) {SDM_ERFCF4_4_02, SDM_ERFCF4_5_02, SDM_ERFCF4_6_02, SDM_ERFCF4_7_02};
vec_float4 c03b = (vec_float4) {SDM_ERFCF4_4_03, SDM_ERFCF4_5_03, SDM_ERFCF4_6_03, SDM_ERFCF4_7_03};
vec_float4 c04b = (vec_float4) {SDM_ERFCF4_4_04, SDM_ERFCF4_5_04, SDM_ERFCF4_6_04, SDM_ERFCF4_7_04};
vec_float4 c05b = (vec_float4) {SDM_ERFCF4_4_05, SDM_ERFCF4_5_05, SDM_ERFCF4_6_05, SDM_ERFCF4_7_05};
vec_float4 c06b = (vec_float4) {SDM_ERFCF4_4_06, SDM_ERFCF4_5_06, SDM_ERFCF4_6_06, SDM_ERFCF4_7_06};
vec_float4 c07b = (vec_float4) {SDM_ERFCF4_4_07, SDM_ERFCF4_5_07, SDM_ERFCF4_6_07, SDM_ERFCF4_7_07};
vec_float4 c08b = (vec_float4) {SDM_ERFCF4_4_08, SDM_ERFCF4_5_08, SDM_ERFCF4_6_08, SDM_ERFCF4_7_08};
vec_float4 c09b = (vec_float4) {SDM_ERFCF4_4_09, SDM_ERFCF4_5_09, SDM_ERFCF4_6_09, SDM_ERFCF4_7_09};
vec_float4 c10b = (vec_float4) {SDM_ERFCF4_4_10, SDM_ERFCF4_5_10, SDM_ERFCF4_6_10, SDM_ERFCF4_7_10};
vec_float4 c11b = (vec_float4) {SDM_ERFCF4_4_11, SDM_ERFCF4_5_11, SDM_ERFCF4_6_11, SDM_ERFCF4_7_11};
vec_float4 c12b = (vec_float4) {SDM_ERFCF4_4_12, SDM_ERFCF4_5_12, SDM_ERFCF4_6_12, SDM_ERFCF4_7_12};
vec_float4 c13b = (vec_float4) {SDM_ERFCF4_4_13, SDM_ERFCF4_5_13, SDM_ERFCF4_6_13, SDM_ERFCF4_7_13};
vec_float4 c14b = (vec_float4) {SDM_ERFCF4_4_14, SDM_ERFCF4_5_14, SDM_ERFCF4_6_14, SDM_ERFCF4_7_14};
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_14 = spu_shuffle(c14a, c14b, shufflepattern);
vec_float4 coeff_13 = spu_shuffle(c13a, c13b, shufflepattern);
vec_float4 coeff_12 = spu_shuffle(c12a, c12b, shufflepattern);
vec_float4 coeff_11 = spu_shuffle(c11a, c11b, shufflepattern);
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_14;
result = spu_madd(xappr, result, coeff_13);
result = spu_madd(xappr, result, coeff_12);
result = spu_madd(xappr, 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);
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. */
result = (vec_float4)spu_add((vec_uint4)result, tcorrection);
/* Use the continued fraction approximation for x above approx. 4
* and below approx. 10
*/
vec_float4 presult, xsqu;
xsqu = spu_mul(x, x);
CONTFRAC_ERFCF4(xabs, xsqu, presult);
/* Select between polynomial and continued fraction */
result = spu_sel(presult, result, spu_cmpgt(spu_splats(4.3f), xabs));
/* Above clamp value, set erfc = 0 */
result = spu_sel(result, zerof, spu_cmpgt(xabs, clamp));
/* Negative x values */
vec_uint4 gt0 = spu_cmpgt(x, zerof);
result = spu_sel(spu_sub(twof, result), result, gt0);
return result;
}
#endif /* _ERFCF4_H_ */
#endif /* __SPU__ */