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|
/*========================== begin_copyright_notice ============================
Copyright (C) 2024 Intel Corporation
SPDX-License-Identifier: MIT
============================= end_copyright_notice ===========================*/
/*
// ALGORITHM DESCRIPTION:
// *
// * log(x) = exponent_x*log(2) + log(mantissa_x), if mantissa_x<4/3
// * log(x) = (exponent_x+1)*log(2) + log(0.5*mantissa_x), if mantissa_x>4/3
// *
// * R = mantissa_x - 1, if mantissa_x<4/3
// * R = 0.5*mantissa_x - 1, if mantissa_x>4/3
// * |R|< 1/3
// *
// * log(1+R) is approximated as a polynomial: degree 9 for 1-ulp, degree 7
for 4-ulp,
// * degree 3 for half-precision
//
*/
#include "../imf.h"
#pragma OPENCL FP_CONTRACT OFF
typedef struct {
unsigned int sPoly[4];
unsigned int iHiDelta;
unsigned int iLoRange;
unsigned int iBrkValue;
unsigned int iOffExpoMask;
unsigned int sOne;
unsigned int sLn2;
/* scalar part follow */
unsigned int sInfs[2];
unsigned int sOnes[2];
unsigned int sZeros[2];
} __ocl_svml_internal_sln_ep_data_t;
static __ocl_svml_internal_sln_ep_data_t __ocl_svml_internal_sln_ep_data = {
{
/* > Polynomial sPoly[] coefficients: */
0xbf000000u, /* -5.0000000000000000000000000e-01 */
0x3eaa7160u, /* 3.3289623260498046875000000e-01 */
0xbe88e8feu, /* -2.6740258932113647460937500e-01 */
0x3e612933u, /* 2.1988372504711151123046875e-01 */
},
/* Constant for work range check: Delta 80000000-7f800000 */
0x00800000u,
/* Constant for work range check: 00800000 + Delta */
0x01000000u,
/* Mantissa break point SP 2/3 */
0x3f2aaaabu,
/* SP significand mask */
0x007fffffu,
/* 1.0f */
0x3f800000u,
/* SP log(2) */
0x3f317218u,
/* SP infinity, +/- */
{0x7f800000u, 0xff800000u},
/* SP one, +/- */
{0x3f800000u, 0xbf800000u},
/* SP zero +/- */
{0x00000000u, 0x80000000u}}; /*sLn_Table*/
/* Macros to access other precomputed constants */
/* Table look-up: all SP constants are presented in hexadecimal form */
static __constant _iml_v2_sp_union_t __sln_ep_CoutTab[210] = {
0x3F800000, /* RCPR_Y[0] = 1.0000000000e+00 */
0x00000000, /* LN_RCPR_Y_HI[0] = 0.0000000000e-01 */
0x00000000, /* LN_RCPR_Y_LO[0] = 0.0000000000e-01 */
0x3F7C0000, /* RCPR_Y[1] = 9.8437500000e-01 */
0x3C810000, /* LN_RCPR_Y_HI[1] = 1.5747070313e-02 */
0x35ACB127, /* LN_RCPR_Y_LO[1] = 1.2866556744e-06 */
0x3F780000, /* RCPR_Y[2] = 9.6875000000e-01 */
0x3D020000, /* LN_RCPR_Y_HI[2] = 3.1738281250e-02 */
0x372EC4F4, /* LN_RCPR_Y_LO[2] = 1.0417064914e-05 */
0x3F740000, /* RCPR_Y[3] = 9.5312500000e-01 */
0x3D44C000, /* LN_RCPR_Y_HI[3] = 4.8034667969e-02 */
0xB7D57AD8, /* LN_RCPR_Y_LO[3] = -2.5448782253e-05 */
0x3F700000, /* RCPR_Y[4] = 9.3750000000e-01 */
0x3D843000, /* LN_RCPR_Y_HI[4] = 6.4544677734e-02 */
0xB6CE94C4, /* LN_RCPR_Y_LO[4] = -6.1565970100e-06 */
0x3F6E0000, /* RCPR_Y[5] = 9.2968750000e-01 */
0x3D955000, /* LN_RCPR_Y_HI[5] = 7.2906494141e-02 */
0x349488E3, /* LN_RCPR_Y_LO[5] = 2.7666746405e-07 */
0x3F6A0000, /* RCPR_Y[6] = 9.1406250000e-01 */
0x3DB80000, /* LN_RCPR_Y_HI[6] = 8.9843750000e-02 */
0x37530AEB, /* LN_RCPR_Y_LO[6] = 1.2579122085e-05 */
0x3F660000, /* RCPR_Y[7] = 8.9843750000e-01 */
0x3DDB5000, /* LN_RCPR_Y_HI[7] = 1.0708618164e-01 */
0x37488DAD, /* LN_RCPR_Y_LO[7] = 1.1953915418e-05 */
0x3F640000, /* RCPR_Y[8] = 8.9062500000e-01 */
0x3DED4000, /* LN_RCPR_Y_HI[8] = 1.1584472656e-01 */
0xB7589C7C, /* LN_RCPR_Y_LO[8] = -1.2911037629e-05 */
0x3F600000, /* RCPR_Y[9] = 8.7500000000e-01 */
0x3E08BC00, /* LN_RCPR_Y_HI[9] = 1.3352966309e-01 */
0x35E8227E, /* LN_RCPR_Y_LO[9] = 1.7295385533e-06 */
0x3F5E0000, /* RCPR_Y[10] = 8.6718750000e-01 */
0x3E11EC00, /* LN_RCPR_Y_HI[10] = 1.4250183105e-01 */
0xB5ED5B64, /* LN_RCPR_Y_LO[10] = -1.7684474187e-06 */
0x3F5A0000, /* RCPR_Y[11] = 8.5156250000e-01 */
0x3E248800, /* LN_RCPR_Y_HI[11] = 1.6067504883e-01 */
0x36F60CCF, /* LN_RCPR_Y_LO[11] = 7.3328624239e-06 */
0x3F580000, /* RCPR_Y[12] = 8.4375000000e-01 */
0x3E2DFC00, /* LN_RCPR_Y_HI[12] = 1.6990661621e-01 */
0xB6FE52AF, /* LN_RCPR_Y_LO[12] = -7.5794155237e-06 */
0x3F540000, /* RCPR_Y[13] = 8.2812500000e-01 */
0x3E412000, /* LN_RCPR_Y_HI[13] = 1.8859863281e-01 */
0xB6FA6AB9, /* LN_RCPR_Y_LO[13] = -7.4630047493e-06 */
0x3F520000, /* RCPR_Y[14] = 8.2031250000e-01 */
0x3E4AD400, /* LN_RCPR_Y_HI[14] = 1.9807434082e-01 */
0xB6948C24, /* LN_RCPR_Y_LO[14] = -4.4270582293e-06 */
0x3F500000, /* RCPR_Y[15] = 8.1250000000e-01 */
0x3E54A000, /* LN_RCPR_Y_HI[15] = 2.0764160156e-01 */
0xB6161BA9, /* LN_RCPR_Y_LO[15] = -2.2367842121e-06 */
0x3F4C0000, /* RCPR_Y[16] = 7.9687500000e-01 */
0x3E688000, /* LN_RCPR_Y_HI[16] = 2.2705078125e-01 */
0x36DFC995, /* LN_RCPR_Y_LO[16] = 6.6693851295e-06 */
0x3F4A0000, /* RCPR_Y[17] = 7.8906250000e-01 */
0x3E729800, /* LN_RCPR_Y_HI[17] = 2.3690795898e-01 */
0x35EFFE71, /* LN_RCPR_Y_LO[17] = 1.7880939822e-06 */
0x3F480000, /* RCPR_Y[18] = 7.8125000000e-01 */
0x3E7CC800, /* LN_RCPR_Y_HI[18] = 2.4685668945e-01 */
0x3663659E, /* LN_RCPR_Y_LO[18] = 3.3884784898e-06 */
0x3F460000, /* RCPR_Y[19] = 7.7343750000e-01 */
0x3E838A00, /* LN_RCPR_Y_HI[19] = 2.5691223145e-01 */
0xB5F3F655, /* LN_RCPR_Y_LO[19] = -1.8176602907e-06 */
0x3F440000, /* RCPR_Y[20] = 7.6562500000e-01 */
0x3E88BC00, /* LN_RCPR_Y_HI[20] = 2.6705932617e-01 */
0x3668227E, /* LN_RCPR_Y_LO[20] = 3.4590771065e-06 */
0x3F400000, /* RCPR_Y[21] = 7.5000000000e-01 */
0x3E934B00, /* LN_RCPR_Y_HI[21] = 2.8768157959e-01 */
0x35044D37, /* LN_RCPR_Y_LO[21] = 4.9286194326e-07 */
0x3F3E0000, /* RCPR_Y[22] = 7.4218750000e-01 */
0x3E98A800, /* LN_RCPR_Y_HI[22] = 2.9815673828e-01 */
0xB661E2CA, /* LN_RCPR_Y_LO[22] = -3.3659621295e-06 */
0x3F3C0000, /* RCPR_Y[23] = 7.3437500000e-01 */
0x3E9E1300, /* LN_RCPR_Y_HI[23] = 3.0873870850e-01 */
0xB6588CCD, /* LN_RCPR_Y_LO[23] = -3.2268465020e-06 */
0x3F3A0000, /* RCPR_Y[24] = 7.2656250000e-01 */
0x3EA38C00, /* LN_RCPR_Y_HI[24] = 3.1942749023e-01 */
0x365C271C, /* LN_RCPR_Y_LO[24] = 3.2805319279e-06 */
0x3F380000, /* RCPR_Y[25] = 7.1875000000e-01 */
0x3EA91500, /* LN_RCPR_Y_HI[25] = 3.3023834229e-01 */
0x3660738A, /* LN_RCPR_Y_LO[25] = 3.3445853660e-06 */
0x3F360000, /* RCPR_Y[26] = 7.1093750000e-01 */
0x3EAEAE00, /* LN_RCPR_Y_HI[26] = 3.4117126465e-01 */
0xB50829A8, /* LN_RCPR_Y_LO[26] = -5.0724565881e-07 */
0x3F340000, /* RCPR_Y[27] = 7.0312500000e-01 */
0x3EB45600, /* LN_RCPR_Y_HI[27] = 3.5221862793e-01 */
0x3603E9C7, /* LN_RCPR_Y_LO[27] = 1.9656597487e-06 */
0x3F320000, /* RCPR_Y[28] = 6.9531250000e-01 */
0x3EBA0F00, /* LN_RCPR_Y_HI[28] = 3.6339569092e-01 */
0xB5F12731, /* LN_RCPR_Y_LO[28] = -1.7967305439e-06 */
0x3F300000, /* RCPR_Y[29] = 6.8750000000e-01 */
0x3EBFD800, /* LN_RCPR_Y_HI[29] = 3.7469482422e-01 */
0xB5B884FD, /* LN_RCPR_Y_LO[29] = -1.3747772982e-06 */
0x3F2E0000, /* RCPR_Y[30] = 6.7968750000e-01 */
0x3EC5B200, /* LN_RCPR_Y_HI[30] = 3.8612365723e-01 */
0xB5CAEE9A, /* LN_RCPR_Y_LO[30] = -1.5119615000e-06 */
0x3F2C0000, /* RCPR_Y[31] = 6.7187500000e-01 */
0x3ECB9D00, /* LN_RCPR_Y_HI[31] = 3.9768218994e-01 */
0x3550C4D6, /* LN_RCPR_Y_LO[31] = 7.7772472196e-07 */
0x3F2A0000, /* RCPR_Y[32] = 6.6406250000e-01 */
0x3ED19A00, /* LN_RCPR_Y_HI[32] = 4.0937805176e-01 */
0x3580449F, /* LN_RCPR_Y_LO[32] = 9.5567145308e-07 */
0x3F280000, /* RCPR_Y[33] = 6.5625000000e-01 */
0x3ED7A900, /* LN_RCPR_Y_HI[33] = 4.2121124268e-01 */
0x3615248D, /* LN_RCPR_Y_LO[33] = 2.2224005534e-06 */
0x3F280000, /* RCPR_Y[34] = 6.5625000000e-01 */
0x3ED7A900, /* LN_RCPR_Y_HI[34] = 4.2121124268e-01 */
0x3615248D, /* LN_RCPR_Y_LO[34] = 2.2224005534e-06 */
0x3F260000, /* RCPR_Y[35] = 6.4843750000e-01 */
0x3EDDCB00, /* LN_RCPR_Y_HI[35] = 4.3318939209e-01 */
0x348DC071, /* LN_RCPR_Y_LO[35] = 2.6403316156e-07 */
0x3F240000, /* RCPR_Y[36] = 6.4062500000e-01 */
0x3EE40000, /* LN_RCPR_Y_HI[36] = 4.4531250000e-01 */
0xB5C71755, /* LN_RCPR_Y_LO[36] = -1.4833445903e-06 */
0x3F220000, /* RCPR_Y[37] = 6.3281250000e-01 */
0x3EEA4800, /* LN_RCPR_Y_HI[37] = 4.5758056641e-01 */
0x3511B7BF, /* LN_RCPR_Y_LO[37] = 5.4284095086e-07 */
0x3F200000, /* RCPR_Y[38] = 6.2500000000e-01 */
0x3EF0A400, /* LN_RCPR_Y_HI[38] = 4.7000122070e-01 */
0x3621A272, /* LN_RCPR_Y_LO[38] = 2.4085425139e-06 */
0x3F200000, /* RCPR_Y[39] = 6.2500000000e-01 */
0x3EF0A400, /* LN_RCPR_Y_HI[39] = 4.7000122070e-01 */
0x3621A272, /* LN_RCPR_Y_LO[39] = 2.4085425139e-06 */
0x3F1E0000, /* RCPR_Y[40] = 6.1718750000e-01 */
0x3EF71500, /* LN_RCPR_Y_HI[40] = 4.8258209229e-01 */
0x34AB5A0A, /* LN_RCPR_Y_LO[40] = 3.1916744092e-07 */
0x3F1C0000, /* RCPR_Y[41] = 6.0937500000e-01 */
0x3EFD9B00, /* LN_RCPR_Y_HI[41] = 4.9532318115e-01 */
0xB5EA10B7, /* LN_RCPR_Y_LO[41] = -1.7439223257e-06 */
0x3F1A0000, /* RCPR_Y[42] = 6.0156250000e-01 */
0x3F021B00, /* LN_RCPR_Y_HI[42] = 5.0822448730e-01 */
0x34BE7604, /* LN_RCPR_Y_LO[42] = 3.5476125504e-07 */
0x3F1A0000, /* RCPR_Y[43] = 6.0156250000e-01 */
0x3F021B00, /* LN_RCPR_Y_HI[43] = 5.0822448730e-01 */
0x34BE7604, /* LN_RCPR_Y_LO[43] = 3.5476125504e-07 */
0x3F180000, /* RCPR_Y[44] = 5.9375000000e-01 */
0x3F0573C0, /* LN_RCPR_Y_HI[44] = 5.2129745483e-01 */
0xB50E97D6, /* LN_RCPR_Y_LO[44] = -5.3120072607e-07 */
0x3F160000, /* RCPR_Y[45] = 5.8593750000e-01 */
0x3F08D7C0, /* LN_RCPR_Y_HI[45] = 5.3454208374e-01 */
0x338F1D6B, /* LN_RCPR_Y_LO[45] = 6.6643075058e-08 */
0x3F140000, /* RCPR_Y[46] = 5.7812500000e-01 */
0x3F0C4780, /* LN_RCPR_Y_HI[46] = 5.4796600342e-01 */
0xB55F86E2, /* LN_RCPR_Y_LO[46] = -8.3270253981e-07 */
0x3F140000, /* RCPR_Y[47] = 5.7812500000e-01 */
0x3F0C4780, /* LN_RCPR_Y_HI[47] = 5.4796600342e-01 */
0xB55F86E2, /* LN_RCPR_Y_LO[47] = -8.3270253981e-07 */
0x3F120000, /* RCPR_Y[48] = 5.7031250000e-01 */
0x3F0FC300, /* LN_RCPR_Y_HI[48] = 5.6156921387e-01 */
0x35D7F186, /* LN_RCPR_Y_LO[48] = 1.6089040855e-06 */
0x3F100000, /* RCPR_Y[49] = 5.6250000000e-01 */
0x3F134B00, /* LN_RCPR_Y_HI[49] = 5.7536315918e-01 */
0x35844D37, /* LN_RCPR_Y_LO[49] = 9.8572388652e-07 */
0x3F100000, /* RCPR_Y[50] = 5.6250000000e-01 */
0x3F134B00, /* LN_RCPR_Y_HI[50] = 5.7536315918e-01 */
0x35844D37, /* LN_RCPR_Y_LO[50] = 9.8572388652e-07 */
0x3F0E0000, /* RCPR_Y[51] = 5.5468750000e-01 */
0x3F16DFC0, /* LN_RCPR_Y_HI[51] = 5.8935165405e-01 */
0xB5AA13C8, /* LN_RCPR_Y_LO[51] = -1.2671744116e-06 */
0x3F0E0000, /* RCPR_Y[52] = 5.5468750000e-01 */
0x3F16DFC0, /* LN_RCPR_Y_HI[52] = 5.8935165405e-01 */
0xB5AA13C8, /* LN_RCPR_Y_LO[52] = -1.2671744116e-06 */
0x3F0C0000, /* RCPR_Y[53] = 5.4687500000e-01 */
0x3F1A8140, /* LN_RCPR_Y_HI[53] = 6.0353469849e-01 */
0x34AD9D8D, /* LN_RCPR_Y_LO[53] = 3.2338394362e-07 */
0x3F0A0000, /* RCPR_Y[54] = 5.3906250000e-01 */
0x3F1E3040, /* LN_RCPR_Y_HI[54] = 6.1792373657e-01 */
0x32C36BFB, /* LN_RCPR_Y_LO[54] = 2.2750091588e-08 */
0x3F0A0000, /* RCPR_Y[55] = 5.3906250000e-01 */
0x3F1E3040, /* LN_RCPR_Y_HI[55] = 6.1792373657e-01 */
0x32C36BFB, /* LN_RCPR_Y_LO[55] = 2.2750091588e-08 */
0x3F080000, /* RCPR_Y[56] = 5.3125000000e-01 */
0x3F21ED00, /* LN_RCPR_Y_HI[56] = 6.3252258301e-01 */
0xB2D06DC4, /* LN_RCPR_Y_LO[56] = -2.4264302567e-08 */
0x3F080000, /* RCPR_Y[57] = 5.3125000000e-01 */
0x3F21ED00, /* LN_RCPR_Y_HI[57] = 6.3252258301e-01 */
0xB2D06DC4, /* LN_RCPR_Y_LO[57] = -2.4264302567e-08 */
0x3F060000, /* RCPR_Y[58] = 5.2343750000e-01 */
0x3F25B800, /* LN_RCPR_Y_HI[58] = 6.4733886719e-01 */
0xB5A41A3D, /* LN_RCPR_Y_LO[58] = -1.2226588524e-06 */
0x3F060000, /* RCPR_Y[59] = 5.2343750000e-01 */
0x3F25B800, /* LN_RCPR_Y_HI[59] = 6.4733886719e-01 */
0xB5A41A3D, /* LN_RCPR_Y_LO[59] = -1.2226588524e-06 */
0x3F040000, /* RCPR_Y[60] = 5.1562500000e-01 */
0x3F299180, /* LN_RCPR_Y_HI[60] = 6.6237640381e-01 */
0xB56CBCC4, /* LN_RCPR_Y_LO[60] = -8.8191541181e-07 */
0x3F040000, /* RCPR_Y[61] = 5.1562500000e-01 */
0x3F299180, /* LN_RCPR_Y_HI[61] = 6.6237640381e-01 */
0xB56CBCC4, /* LN_RCPR_Y_LO[61] = -8.8191541181e-07 */
0x3F020000, /* RCPR_Y[62] = 5.0781250000e-01 */
0x3F2D7A00, /* LN_RCPR_Y_HI[62] = 6.7764282227e-01 */
0x34386C94, /* LN_RCPR_Y_LO[62] = 1.7175835865e-07 */
0x3F020000, /* RCPR_Y[63] = 5.0781250000e-01 */
0x3F2D7A00, /* LN_RCPR_Y_HI[63] = 6.7764282227e-01 */
0x34386C94, /* LN_RCPR_Y_LO[63] = 1.7175835865e-07 */
0x3F000000, /* RCPR_Y[64] = 5.0000000000e-01 */
0x3F317200, /* LN_RCPR_Y_HI[64] = 6.9314575195e-01 */
0x35BFBE8E, /* LN_RCPR_Y_LO[64] = 1.4286067653e-06 */
/* Two parts of the ln(2.0) */
0x3F317200, /* LN2_HI = 6.931457519531250e-01 */
0x35BFBE8E, /* LN2_LO = 1.428606765330187e-06 */
/* Right Shifter to obtain j */
0x48000040, /* RSJ = 2^(17)+1 */
/* Right Shifter to obtain YHi */
0x46000000, /* RSY = 2^(7) */
/* "Near 1" path (bound for u=1-x) */
0x3C200000, /* NEAR0_BOUND */
/* Scale for denormalized arguments */
0x4D000000, /* DENORM_SCALE = 2^27 */
/* Single precision constants: 0.0, 1.0 */
0x00000000, 0x3F800000,
/*
// Coefficients for (ln(1+u) - u)/u^2 approximation by
// polynomial p0(u)
*/
0xBF000000, /* A0 = -.500000000000000 */
0x3EAAAAAB, /* A1 = .333333333333344 */
0xBE800000, /* A2 = -.250000000000034 */
0x3E4CCCCD, /* A3 = .199999999115651 */
0xBE2AAAAB, /* A4 = -.166666665188498 */
0x3E124E01, /* A5 = .142875688385215 */
0xBE0005A0, /* A6 = -.125021460296036 */
};
__attribute__((always_inline)) inline int __ocl_svml_internal_sln_ep(float *a,
float *r) {
float fap1, *ap1 = &fap1;
float x, y, u;
float fP;
float fAbsU;
float fN, fNLn2Hi, fNLn2Lo;
float fRcprY, fLnRcprYHi, fLnRcprYLo, fWHi, fWLo;
float fYHi, fYLo, fUHi, fuLo, fResHi, fResLo;
float fTmp;
int iN, j;
int i;
int nRet = 0;
int isDenorm = 0;
/* Filter out Infs and NaNs */
if ((((((_iml_v2_sp_union_t *)&a[0])->hex[0] >> 23) & 0xFF) != 0xFF)) {
/* Here if argument is finite float precision number */
/*
// Copy argument into temporary variable x,
// and initially set iN equal to 0
*/
x = a[0];
iN = 0;
/* Check if x is denormalized number or [+/-]0 */
if (((((_iml_v2_sp_union_t *)&x)->hex[0] >> 23) & 0xFF) == 0) {
// Line below not needed; it breaks denormal accuracy
// isDenorm = 1;
/* Here if argument is denormalized or [+/-]0 */
/* Scale x and properly adjust iN */
x = (x * ((__constant float *)__sln_ep_CoutTab)[200]);
iN -= (27);
}
/* Starting from this point x is finite normalized number */
if (x > ((__constant float *)__sln_ep_CoutTab)[201]) {
/* Here if x is positive finite normalized number */
/* Get absolute value of u=x-1 */
u = x - 1.0f;
fAbsU = u;
(((_iml_v2_sp_union_t *)&fAbsU)->hex[0] =
(((_iml_v2_sp_union_t *)&fAbsU)->hex[0] & 0x7FFFFFFF) |
((_iml_uint32_t)(0) << 31));
/* Check if a[0] falls into "Near 1" range */
if (fAbsU > ((__constant float *)__sln_ep_CoutTab)[199]) {
/* 6) "Main" path */
/* a) Range reduction */
/* Get N taking into account denormalized arguments */
iN += ((((_iml_v2_sp_union_t *)&x)->hex[0] >> 23) & 0xFF) - 0x7F;
fN = (float)iN;
/*
// Compute N*Ln2Hi and N*Ln2Lo. Notice that N*Ln2Hi
// is error-free for any N
*/
if (isDenorm == 1) {
fNLn2Hi = (fN * (((__constant float *)__sln_ep_CoutTab)[195] +
((__constant float *)__sln_ep_CoutTab)[196]));
fNLn2Lo = 0.0f;
} else {
fNLn2Hi = (fN * ((__constant float *)__sln_ep_CoutTab)[195]);
fNLn2Lo = (fN * ((__constant float *)__sln_ep_CoutTab)[196]);
}
/* Get y */
y = x;
(((_iml_v2_sp_union_t *)&y)->hex[0] =
(((_iml_v2_sp_union_t *)&y)->hex[0] & 0x807FFFFF) |
(((_iml_uint32_t)(0x7F) & 0xFF) << 23));
/* Obtain j */
fTmp = (y + ((__constant float *)__sln_ep_CoutTab)[197]);
j = (((_iml_v2_sp_union_t *)&fTmp)->hex[0] & 0x007FFFFF) &
((1 << (6 + 1)) - 1);
/* Get table values of RcprY, LnRcprYHi, LnRcprYLo */
fRcprY = ((__constant float *)__sln_ep_CoutTab)[3 * (j)];
fLnRcprYHi = ((__constant float *)__sln_ep_CoutTab)[3 * (j) + 1];
fLnRcprYLo = ((__constant float *)__sln_ep_CoutTab)[3 * (j) + 2];
/* Calculate WHi and WLo */
fWHi = (fNLn2Hi + fLnRcprYHi);
fWLo = (fNLn2Lo + fLnRcprYLo);
/* Get YHi and YLo */
fTmp = (y + ((__constant float *)__sln_ep_CoutTab)[198]);
fYHi = (fTmp - ((__constant float *)__sln_ep_CoutTab)[198]);
fYLo = (y - fYHi);
/* Get UHi, uLo and U */
fUHi = (fRcprY * fYHi - 1.0f);
fuLo = (fRcprY * fYLo);
u = (fUHi + fuLo);
// printf("u = %g\n", u);
/* b) Approximation */
fP = ((((((((__constant float *)__sln_ep_CoutTab)[209] * u +
((__constant float *)__sln_ep_CoutTab)[208]) *
u +
((__constant float *)__sln_ep_CoutTab)[207]) *
u +
((__constant float *)__sln_ep_CoutTab)[206]) *
u +
((__constant float *)__sln_ep_CoutTab)[205]) *
u +
((__constant float *)__sln_ep_CoutTab)[204]) *
u +
((__constant float *)__sln_ep_CoutTab)[203]);
fP = (fP * u * u);
/* c) Reconstruction */
fResHi = (fWHi + fUHi);
fResLo = ((fWLo + fuLo) + fP);
r[0] = (fResHi + fResLo);
} else {
/* 5) "Near 1" path (|u|<=NEAR0_BOUND) */
fP = ((((((((__constant float *)__sln_ep_CoutTab)[209] * u +
((__constant float *)__sln_ep_CoutTab)[208]) *
u +
((__constant float *)__sln_ep_CoutTab)[207]) *
u +
((__constant float *)__sln_ep_CoutTab)[206]) *
u +
((__constant float *)__sln_ep_CoutTab)[205]) *
u +
((__constant float *)__sln_ep_CoutTab)[204]) *
u +
((__constant float *)__sln_ep_CoutTab)[203]);
fP = (fP * u * u);
fP = (fP + u);
r[0] = fP;
}
} else {
/* Path 3) or 4). Here if argument is negative number or +/-0 */
if (x == ((__constant float *)__sln_ep_CoutTab)[201]) {
/* Path 3). Here if argument is +/-0 */
r[0] = -((__constant float *)__sln_ep_CoutTab)[202] /
((__constant float *)__sln_ep_CoutTab)[201];
nRet = 2;
} else {
/* Path 4). Here if argument is negative number */
r[0] = ((__constant float *)__sln_ep_CoutTab)[201] /
((__constant float *)__sln_ep_CoutTab)[201];
nRet = 1;
}
}
} else {
/* Path 1) or 2). Here if argument is NaN or +/-Infinity */
if (((((_iml_v2_sp_union_t *)&a[0])->hex[0] >> 31) == 1) &&
((((_iml_v2_sp_union_t *)&a[0])->hex[0] & 0x007FFFFF) == 0)) {
/* Path 2). Here if argument is -Infinity */
r[0] = ((__constant float *)__sln_ep_CoutTab)[201] /
((__constant float *)__sln_ep_CoutTab)[201];
nRet = 1;
} else {
/* Path 1). Here if argument is NaN or +Infinity */
r[0] = (a[0] * a[0]);
}
}
return nRet;
}
float __ocl_svml_logf_ep(float x) {
float r;
unsigned int vm;
float va1;
float vr1;
va1 = x;
{
unsigned int iHiDelta;
unsigned int iLoRange;
unsigned int iBrkValue;
unsigned int iOffExpoMask;
float sOne;
float sLn2;
float sPoly[4];
unsigned int iRangeMask;
unsigned int iX;
unsigned int iXTest;
float sN;
unsigned int iN;
float sR;
unsigned int iR;
float sP;
iHiDelta = (__ocl_svml_internal_sln_ep_data.iHiDelta);
iLoRange = (__ocl_svml_internal_sln_ep_data.iLoRange);
iX = as_uint(va1);
/* check for working range, */
/* set special argument mask (denormals/zero/Inf/NaN) */
iXTest = (iX + iHiDelta);
iRangeMask = ((unsigned int)(-(signed int)((signed int)iXTest <
(signed int)iLoRange)));
iBrkValue = (__ocl_svml_internal_sln_ep_data.iBrkValue);
iOffExpoMask = (__ocl_svml_internal_sln_ep_data.iOffExpoMask);
/* reduction: compute r,n */
iX = (iX - iBrkValue);
iR = (iX & iOffExpoMask);
/* exponent_x (mantissa_x<4/3) or exponent_x+1 (mantissa_x>4/3) */
iN = ((signed int)iX >> (23));
/* mantissa_x (mantissa_x<4/3), or 0.5*mantissa_x (mantissa_x>4/3) */
iR = (iR + iBrkValue);
sN = ((float)((int)(iN)));
sR = as_float(iR);
vm = 0;
vm = iRangeMask;
sOne = as_float(__ocl_svml_internal_sln_ep_data.sOne);
/* reduced argument R */
sR = (sR - sOne);
sPoly[3] = as_float(__ocl_svml_internal_sln_ep_data.sPoly[3]);
sPoly[2] = as_float(__ocl_svml_internal_sln_ep_data.sPoly[2]);
/* polynomial evaluation starts here */
sP = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(sPoly[3], sR, sPoly[2]);
sPoly[1] = as_float(__ocl_svml_internal_sln_ep_data.sPoly[1]);
sP = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(sP, sR, sPoly[1]);
sPoly[0] = as_float(__ocl_svml_internal_sln_ep_data.sPoly[0]);
sP = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(sP, sR, sPoly[0]);
sP = (sP * sR);
/* polynomial evaluation end */
sP = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(sP, sR, sR);
sLn2 = as_float(__ocl_svml_internal_sln_ep_data.sLn2);
/* final reconstruction: */
/* add exponent_value*log2 to polynomial result */
vr1 = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(sN, sLn2, sP);
}
if (__builtin_expect((vm) != 0, 0)) {
float __cout_a1;
float __cout_r1;
((float *)&__cout_a1)[0] = va1;
((float *)&__cout_r1)[0] = vr1;
__ocl_svml_internal_sln_ep(&__cout_a1, &__cout_r1);
vr1 = ((float *)&__cout_r1)[0];
}
r = vr1;
return r;
}
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