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-.file "erf.s"
-
-
-// Copyright (c) 2001 - 2005, Intel Corporation
-// All rights reserved.
-//
-// Contributed 2001 by the Intel Numerics Group, Intel Corporation
-//
-// 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.
-//
-// * The name of Intel Corporation may not 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 INTEL OR ITS
-// 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.
-//
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at
-// http://www.intel.com/software/products/opensource/libraries/num.htm.
-//
-// History
-//==============================================================
-// 08/15/01 Initial version
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 02/06/03 Reordered header: .section, .global, .proc, .align
-// 03/31/05 Reformatted delimiters between data tables
-//
-// API
-//==============================================================
-// double erf(double)
-//
-// Overview of operation
-//==============================================================
-// Background
-//
-//
-// There are 9 paths:
-// 1. x = +/-0.0
-// Return erf(x) = +/-0.0
-//
-// 2. 0.0 < |x| < 0.5
-// Return erf(x) = x *Pol9(x^2)
-//
-// 3. For several subranges of 0.5 <= |x| < 5.90625
-// Return erf(x) = sign(x)*Pol19(y),
-// where y = (|x|-b)/a, Pol19(y) = A0 + A1*y^1 + A2*y^2 + ... + A19*y^19
-//
-// For each subrange there is particular set of coefficients.
-// Below is the list of subranges:
-// 3.1 0.5 <= |x| < 1.0 b = a = 0.5
-// 3.2 1.0 <= |x| < 2.0, b = a = 1.0
-// 3.3 2.0 <= |x| < 3.25 b = a = 2.0
-// 3.4 4.0 <= |x| < 5.90625 b = 4.0, a = 2.0
-//
-// 4. 3.25 <= |x| < 4.0
-// Return erf(x) = sign(x)*Pol14(|x| - 3.25)
-//
-// 5. 5.90625 <= |x| < +INF
-// Return erf(x) = sign(x)*(1.0d - 2^(-63))
-//
-// 6. |x| = INF
-// Return erf(x) = sign(x) * 1.0
-//
-// 7. x = [S,Q]NaN
-// Return erf(x) = QNaN
-//
-// 8. x is positive denormal
-// Return erf(x) = A0*x - x^2,
-// where A0 = 2.0/sqrt(Pi)
-//
-// 9. x is negative denormal
-// Return erf(x) = A0*x + x^2,
-// where A0 = 2.0/sqrt(Pi)
-//
-// Registers used
-//==============================================================
-// Floating Point registers used:
-// f8, input, output
-// f32 -> f63
-
-// General registers used:
-// r32 -> r48, r2, r3
-
-// Predicate registers used:
-// p0, p6 -> p15
-
-// p6 to filter out case when x = denormal
-// p7 to filter out case when x = [Q,S]NaN or +/-0,
-// used also to process denormals
-// p8 to filter out case when 3.25 <= |x| < 4.0,
-// used also to process denormals
-// p9 to filter out case when |x| = inf
-// p10 to filter out case when |x| < 0.5
-// p11 set when |x| < 3.25 or |x| > 4.0
-// p12 to filter out case when |x| >= 5.90625
-// p13 set if 4.0 <=|x| < 5.90625
-// p14 set to 1 for positive x
-// p15 set to 1 for negative x
-
-// Assembly macros
-//==============================================================
-rDataPtr = r2
-rDataPtr1 = r3
-
-rBias = r33
-rCoeffAddr3 = r34
-rThreeAndQ = r35
-rCoeffAddr2 = r36
-rMask = r37
-rArg = r38
-rSignBit = r39
-rAbsArg = r40
-rSaturation = r41
-rIndex = r42
-rCoeffAddr1 = r43
-rCoeffAddr4 = r44
-rShiftedArg = r45
-rShiftedArgMasked = r46
-rBiasedExpOf4 = r47
-rShiftedAbsArg = r48
-
-//==============================================================
-fA0 = f32
-fA1 = f33
-fA2 = f34
-fA3 = f35
-fA4 = f36
-fA5 = f37
-fA6 = f38
-fA7 = f39
-fA8 = f40
-fA9 = f41
-fA10 = f42
-fA11 = f43
-fA12 = f44
-fA13 = f45
-fA14 = f46
-fA15 = f47
-fA16 = f48
-fA17 = f49
-fA18 = f50
-fA19 = f51
-fArgSqr = f52
-fArgAbsNorm = f53
-fSignumX = f54
-fRes = f55
-fThreeAndQ = f56
-fArgAbs = f57
-fTSqr = f58
-fTQuadr = f59
-fTDeg3 = f60
-fTDeg7 = f61
-fArgAbsNormSgn = f62
-fTQuadrSgn = f63
-
-// Data tables
-//==============================================================
-RODATA
-
-.align 64
-
-LOCAL_OBJECT_START(erf_data)
-// Coefficients ##0..15
-// Polynomial coefficients for the erf(x), 0.5 <= |x| < 1.0
-data8 0xB69AC40646D1F6C1, 0x00003FD2 //A19
-data8 0x90AD48C0118FA10C, 0x00003FD7 //A18
-data8 0x826FBAD055EA4AB8, 0x0000BFDB //A17
-data8 0x8DAB171246CC2B89, 0x00003FDC //A16
-data8 0xC0B1D6662F8A7564, 0x00003FDF //A15
-data8 0xA46374AC35099BAF, 0x0000BFE1 //A14
-data8 0xB2F230996346EF27, 0x0000BFE4 //A13
-data8 0xCDEC50950FACE04A, 0x00003FE6 //A12
-data8 0x826014649396E9D2, 0x00003FE9 //A11
-data8 0xCDB787DC718B13F9, 0x0000BFEB //A10
-data8 0x8E0B23C24EE0C8EE, 0x0000BFED //A9
-data8 0xA49EA40A4E5A3F76, 0x00003FF0 //A8
-data8 0xB11E30BE912617D3, 0x00003FF0 //A7
-data8 0xCCF89D9351CE26E3, 0x0000BFF4 //A6
-data8 0xEFF75AD1F0F22809, 0x00003FF2 //A5
-data8 0xBB793EF404C09A22, 0x00003FF8 //A4
-// Polynomial coefficients for the erf(x), 1.0 <= |x| < 2.0
-data8 0xBAE93FF4174EA59B, 0x00003FE6 //A19
-data8 0x8A0FD46092F95D44, 0x0000BFEA //A18
-data8 0xA37B3242B7809E12, 0x00003FEC //A17
-data8 0xA0330A5CD2E91689, 0x0000BFED //A16
-data8 0x8E34A678F3497D17, 0x0000BFEC //A15
-data8 0xAC185D45A2772384, 0x00003FEF //A14
-data8 0xB0C11347CE7EEDE8, 0x00003FEF //A13
-data8 0xD3330DC14EA0E4EB, 0x0000BFF2 //A12
-data8 0xB4A6DFDE578A428F, 0x00003FF1 //A11
-data8 0xA0B4034310D2D9CB, 0x00003FF5 //A10
-data8 0xF71662D3132B7759, 0x0000BFF5 //A9
-data8 0x9C88BF157695E9EC, 0x0000BFF7 //A8
-data8 0xF84B80EFCA43895D, 0x00003FF8 //A7
-data8 0x9722D22DA628A17B, 0x00003FF7 //A6
-data8 0x8DB0A586F8F3381F, 0x0000BFFB //A5
-data8 0x8DB0A5879F87E5BE, 0x00003FFB //A4
-// Polynomial coefficients for the erf(x), 2.0 <= |x| < 3.25
-data8 0x9C4AF1F3A4B21AFC, 0x00003FF6 //A19
-data8 0x8D40D5D5DB741AB8, 0x0000BFF9 //A18
-data8 0xDEBE7099E0A75BA4, 0x00003FFA //A17
-data8 0xB99A33294D32429D, 0x0000BFFB //A16
-data8 0x8109D9C7197BC7C9, 0x00003FFB //A15
-data8 0xC30DE8E2EFC2D760, 0x00003FFA //A14
-data8 0x80DDA28C5B35DC73, 0x0000BFFC //A13
-data8 0x9BE4DE5095BACE0D, 0x00003FF9 //A12
-data8 0xDA4092509EE7D111, 0x00003FFC //A11
-data8 0x89D98C561B0C9040, 0x0000BFFD //A10
-data8 0xD20B26EB2F0881D4, 0x0000BFF9 //A9
-data8 0xD089C56948731561, 0x00003FFD //A8
-data8 0xDD704DEFFB21B7E7, 0x0000BFFD //A7
-data8 0xF0C9A6BBDE469115, 0x00003FF9 //A6
-data8 0xD673A02CB5766633, 0x00003FFD //A5
-data8 0x8D162CBAD8A12649, 0x0000BFFE //A4
-// Polynomial coefficients for the erf(x), 4.0 <= |x| < 6.0
-data8 0xD4428B75C6FE8FD1, 0x0000BFFC //A19
-data8 0xF76BE1935675D5C8, 0x00003FFE //A18
-data8 0xFD6BB3B14AA7A8E6, 0x0000BFFF //A17
-data8 0x8BE8F573D348DDA4, 0x00004000 //A16
-data8 0x81E91923A1030502, 0x0000BFFF //A15
-data8 0xCE7FE87B26CFD286, 0x0000BFFE //A14
-data8 0x84EF6B4E17404384, 0x00004000 //A13
-data8 0x91FEF33015404991, 0x0000C000 //A12
-data8 0xDEDF6A9370747E56, 0x00003FFF //A11
-data8 0x8397E6FF56CDFD9D, 0x0000BFFF //A10
-data8 0xFAD1CE912473937B, 0x00003FFD //A9
-data8 0xC48C1EA8AAA624EA, 0x0000BFFC //A8
-data8 0xFECAF0097ACF981B, 0x00003FFA //A7
-data8 0x8829A394065E4B95, 0x0000BFF9 //A6
-data8 0xED3003E477A53EE7, 0x00003FF6 //A5
-data8 0xA4C07E9BB3FCB0F3, 0x0000BFF4 //A4
-//
-// Coefficients ##16..19
-// Polynomial coefficients for the erf(x), 0.5 <= |x| < 1.0
-data8 0x95FA98C337005D13, 0x0000BFF9 //A3
-data8 0xE0F7E524D2808A97, 0x0000BFFB //A2
-data8 0xE0F7E524D2808A98, 0x00003FFD //A1
-data8 0x853F7AE0C76E915F, 0x00003FFE //A0
-// Polynomial coefficients for the erf(x), 1.0 <= |x| < 2.0
-data8 0x8DB0A587A96ABCF0, 0x00003FFC //A3
-data8 0xD488F84B7DE18DA8, 0x0000BFFD //A2
-data8 0xD488F84B7DE12E9C, 0x00003FFD //A1
-data8 0xD7BB3D3A08445636, 0x00003FFE //A0
-// Polynomial coefficients for the erf(x), 2.0 <= |x| < 3.25
-data8 0xC58571D23D5C4B3A, 0x00003FFD //A3
-data8 0xA94DCF467CD6AFF3, 0x0000BFFC //A2
-data8 0xA94DCF467CD10A16, 0x00003FFA //A1
-data8 0xFECD70A13CAF1997, 0x00003FFE //A0
-// Polynomial coefficients for the erf(x), 4.0 <= |x| < 6.0
-data8 0xB01D2B4F0D5AB8B0, 0x00003FF1 //A3
-data8 0x8858A465CE594BD1, 0x0000BFEE //A2
-data8 0x8858A447456DE61D, 0x00003FEA //A1
-data8 0xFFFFFFBDC88BB107, 0x00003FFE //A0
-// Polynomial coefficients for the erf(x), 0.0 <= |x| < 0.5
-data8 0xBE839EDBB36C7FCE //A9
-data8 0x3EBB7745A18DD242 //A8
-data8 0xBF4C02DB238F2AFC //A5
-data8 0x3F7565BCD0A9A3EA //A4
-data8 0xC093A3581BCF3333, 0x0000BFFD //A1
-data8 0xBEEF4BB82AD8AE22 //A7
-data8 0x3F1F9A2A57A218CD //A6
-data8 0xBF9B82CE3127F4E4 //A3
-data8 0x3FBCE2F21A042B25 //A2
-data8 0x906EBA8214DB688D, 0x00003FFF //A0
-// 1.0 - 2^(-63)
-data8 0xFFFFFFFFFFFFFFFF, 0x00003FFE
-// Polynomial coefficients for the erf(x), 3.25 <= |x| < 4.0
-data8 0x95E91576C7A12250, 0x00003FE7 //A14
-data8 0x8E5E0D0E1F5D3CB5, 0x0000BFEA //A13
-data8 0xED761DAFAF814DE9, 0x00003FEB //A12
-data8 0xB3A77D921D0ACFC7, 0x0000BFEC //A11
-data8 0xA662D27096B08D7C, 0x0000BFEC //A10
-data8 0xDA0F410AE6233EA5, 0x00003FEF //A9
-data8 0xAB4A8B16B3124327, 0x0000BFF1 //A8
-data8 0xB241E236A5EDCED3, 0x00003FF2 //A7
-data8 0x8A2A65BA1F551F77, 0x0000BFF3 //A6
-data8 0xA4852D0B1D87000A, 0x00003FF3 //A5
-data8 0x963EB00039489476, 0x0000BFF3 //A4
-data8 0xCD5244FF4F7313A5, 0x00003FF2 //A3
-data8 0xC6F1E695363BCB26, 0x0000BFF1 //A2
-data8 0xF4DAF4680DA54C02, 0x00003FEF //A1
-data8 0xFFFFB7CFB3F2ABBE, 0x00003FFE //A0
-// A = 2.0/sqrt(Pi)
-data8 0x906EBA8214DB688D, 0x00003FFF
-LOCAL_OBJECT_END(erf_data)
-
-
-.section .text
-GLOBAL_LIBM_ENTRY(erf)
-
-{ .mfi
- alloc r32 = ar.pfs, 0, 17, 0, 0
- fmerge.se fArgAbsNorm = f1, f8 // normalized x
- adds rSignBit = 0x1, r0
-}
-{ .mfi
- addl rDataPtr = @ltoff(erf_data), gp
- fma.s1 fArgSqr = f8, f8, f0 // x^2
- addl rThreeAndQ = 0x400A0, r0 // shifted bits of 3.25
-}
-;;
-{ .mfi
- getf.d rArg = f8 // x in GR
- fclass.m p6,p0 = f8, 0x0b // is x denormal ?
- shl rThreeAndQ = rThreeAndQ, 44 // bits of 3.25
-}
-{ .mfi
- ld8 rDataPtr = [rDataPtr]
- nop.f 0
- addl rBiasedExpOf4 = 0x40100, r0 // shifted bits of 4.0
-}
-;;
-{ .mfi
- addl rSaturation = 0x4017A, r0 // shifted bits of 5.90625
- fclass.m p7,p0 = f8, 0xc7 // is x [S,Q]NaN or +/-0 ?
- shl rSignBit = rSignBit, 63 // mask for sign bit
-}
-{ .mfi
- addl rMask = 0x7FF00, r0 // Mask for index bits
- nop.f 0
- addl rBias = 0x3FE00, r0 // bias of 0.5 << 8
-}
-;;
-{ .mfi
- setf.d fThreeAndQ = rThreeAndQ // 3.25 if FP register
- fclass.m p9,p0 = f8, 0x23 // is x +/- inf?
- shr.u rShiftedArg = rArg, 44
-}
-{ .mfb
- andcm rAbsArg = rArg, rSignBit // |x| in GR
- nop.f 0
-(p6) br.cond.spnt erf_denormal // branch out if x is denormal
-}
-;;
-{ .mfi
- and rShiftedArgMasked = rShiftedArg, rMask // bias of x << 8
- fmerge.s fArgAbs = f1, f8 // |x|
- shr rShiftedAbsArg = rAbsArg, 44
-}
-{ .mfb
- cmp.lt p8, p11 = rThreeAndQ, rAbsArg // p8 = 1 if |x| >= 3.25
-(p7) fma.d.s0 f8 = f8,f1,f8 // NaN or +/-0
-(p7) br.ret.spnt b0 // exit for x = NaN or +/-0
-}
-;;
-{ .mfi
- sub rIndex = rShiftedArgMasked, rBias // index << 8
- nop.f 0
- cmp.lt p10, p0 = rShiftedArgMasked, rBias // p10 = 1 if |x| < 0.5
-}
-{ .mfb
- // p8 = 1 if 3.25 <= |x| < 4.0
-(p8) cmp.lt p8, p11 = rShiftedAbsArg, rBiasedExpOf4
- fms.s1 fArgAbsNorm = fArgAbsNorm, f1, f1
-(p10) br.cond.spnt erf_near_zero // branch out if |x| < 0.5
-}
-;;
-.pred.rel "mutex", p8, p11
-{ .mfi
-(p8) adds rCoeffAddr1 = 1392, rDataPtr // coeff. for 3.25 <=|x|<4.0
-(p9) fmerge.s f8 = f8,f1 // +/- inf
- nop.i 0
-}
-{ .mfb
-(p11) add rCoeffAddr1 = rDataPtr, rIndex// coeff. ##0,2,..14
- nop.f 0
-(p9) br.ret.spnt b0 // exit for x = +/- inf
-}
-;;
-{ .mfi
- adds rCoeffAddr2 = 16, rCoeffAddr1
- fmerge.s fSignumX = f8, f1 // signum(x)
- nop.i 0
-}
-{ .mfb
- cmp.lt p12, p0 = rSaturation, rShiftedAbsArg // |x| > 5.90625?
- nop.f 0
-(p12) br.cond.spnt erf_saturation // branch out if x |x| >= 6.0
-}
-;;
-// Here if paths #3,4
-// if path #4 we'll branch out after loading of 14 necessary coefficients
-{.mfi
- ldfe fA19 = [rCoeffAddr1], 32
- nop.f 0
- nop.i 0
-}
-{.mfi
- ldfe fA18 = [rCoeffAddr2], 32
- nop.f 0
- adds rCoeffAddr3 = 1024, rDataPtr
-}
-;;
-{.mfi
- ldfe fA17 = [rCoeffAddr1], 32
- nop.f 0
- nop.i 0
-}
-{.mfi
- ldfe fA16 = [rCoeffAddr2], 32
- nop.f 0
- nop.i 0
-}
-;;
-{.mfi
- ldfe fA15 = [rCoeffAddr1], 32
- fma.s1 fTSqr = fArgAbsNorm, fArgAbsNorm, f0
- shr.u rIndex = rIndex, 2
-}
-{.mfi
- ldfe fA14 = [rCoeffAddr2], 32
- nop.f 0
- adds rCoeffAddr4 = 16, r0
-}
-;;
-{.mfi
- ldfe fA13 = [rCoeffAddr1], 32
- nop.f 0
- // address of coefficients ##16..23
- add rCoeffAddr3 = rCoeffAddr3, rIndex
-}
-{.mfi
- ldfe fA12 = [rCoeffAddr2], 32
- nop.f 0
- cmp.lt p15, p14 = rArg, r0
-}
-;;
-{.mfi
- ldfe fA11 = [rCoeffAddr1], 32
- nop.f 0
- add rCoeffAddr4 = rCoeffAddr3, rCoeffAddr4
-}
-{.mfi
- ldfe fA10 = [rCoeffAddr2], 32
- nop.f 0
- nop.i 0
-}
-;;
-{.mfi
- ldfe fA9 = [rCoeffAddr1], 32
- nop.f 0
- nop.i 0
-}
-{.mfi
- ldfe fA8 = [rCoeffAddr2], 32
- nop.f 0
- nop.i 0
-}
-;;
-{.mfi
- ldfe fA7 = [rCoeffAddr1], 32
- fms.s1 fArgAbs = fArgAbs, f1, fThreeAndQ
- nop.i 0
-}
-{.mfb
- ldfe fA6 = [rCoeffAddr2], 32
- nop.f 0
-(p8) br.cond.spnt erf_3q_4 // branch out if 3.25 < |x| < 4.0
-}
-;;
-{.mfi
- ldfe fA5 = [rCoeffAddr1], 32
- fma.s1 fTDeg3 = fArgAbsNorm, fTSqr, f0
- nop.i 0
-}
-{.mfi
- ldfe fA4 = [rCoeffAddr2], 32
- fma.s1 fTQuadr = fTSqr, fTSqr, f0
- nop.i 0
-}
-;;
-// Path #3 Polynomial Pol19(y) computation; y = fArgAbsNorm
-{.mfi
- ldfe fA3 = [rCoeffAddr3], 32
- fma.s1 fArgAbsNormSgn = fArgAbsNorm, fSignumX, f0
- nop.i 0
-}
-{.mfi
- ldfe fA2 = [rCoeffAddr4], 32
- nop.f 0
- nop.i 0
-}
-;;
-{.mfi
- ldfe fA1 = [rCoeffAddr3], 32
- fma.s1 fRes = fA19, fArgAbsNorm, fA18
- nop.i 0
-}
-{.mfi
- ldfe fA0 = [rCoeffAddr4], 32
- nop.f 0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA17 = fA17, fArgAbsNorm, fA16
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA15 = fA15, fArgAbsNorm, fA14
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fTDeg7 = fTDeg3, fTQuadr, f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA13 = fA13, fArgAbsNorm, fA12
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA11 = fA11, fArgAbsNorm, fA10
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA9 = fA9, fArgAbsNorm, fA8
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTSqr, fA17
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA7 = fA7, fArgAbsNorm, fA6
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA5 = fA5, fArgAbsNorm, f0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA15 = fA15, fTSqr, fA13
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA4 = fA4, fArgAbsNorm, fA3
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA2 = fA2, fArgAbsNorm, fA1
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA11 = fA11, fTSqr, fA9
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA7 = fA7, fTSqr, fA5
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTQuadr, fA15
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA4 = fA4, fTSqr, fA2
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTQuadr, fA11
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA4 = fA7, fTDeg3, fA4
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTDeg7, fA4
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- // result for negative argument
-(p15) fms.d.s0 f8 = fRes, fArgAbsNormSgn, fA0
- nop.i 0
-}
-{ .mfb
- nop.m 0
- // result for positive argument
-(p14) fma.d.s0 f8 = fRes, fArgAbsNormSgn, fA0
- br.ret.sptk b0
-}
-
-// Here if 3.25 < |x| < 4.0
-.align 32
-erf_3q_4:
-.pred.rel "mutex", p14, p15
-{ .mfi
- ldfe fA5 = [rCoeffAddr1], 32
- fma.s1 fTSqr = fArgAbs, fArgAbs, f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fRes = fA19, fArgAbs, fA18
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA17 = fA17, fArgAbs, fA16
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA15 = fA15, fArgAbs, fA14
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA13 = fA13, fArgAbs, fA12
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA11 = fA11, fArgAbs, fA10
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA9 = fA9, fArgAbs, fA8
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fArgAbsNormSgn = fArgAbs, fSignumX, f0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fTQuadr = fTSqr, fTSqr, f0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTSqr, fA17
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA15 = fA15, fTSqr, fA13
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA11 = fA11, fTSqr, fA9
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA7 = fA7, fArgAbs, fA6
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fTDeg7 = fTQuadr, fTSqr, f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTQuadr, fA15
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA11 = fA11, fTSqr, fA7
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTDeg7, fA11
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- // result for negative argument
-(p15) fms.d.s0 f8 = fRes, fArgAbsNormSgn, fA5
- nop.i 0
-}
-{ .mfb
- nop.m 0
- // result for positive argument
-(p14) fma.d.s0 f8 = fRes, fArgAbsNormSgn, fA5
- br.ret.sptk b0
-}
-;;
-
-// Here if |x| < 0.5
-.align 32
-erf_near_zero:
-{ .mfi
- adds rCoeffAddr1 = 1280, rDataPtr // address of A9
- fma.s1 fTSqr = fArgSqr, fArgSqr, f0 // x^4
- nop.i 0
-}
-{ .mfi
- adds rCoeffAddr2 = 1328, rDataPtr // address of A7
- nop.f 0
- nop.i 0
-}
-;;
-{ .mfi
- ldfpd fA9, fA8 = [rCoeffAddr1], 16
- nop.f 0
- nop.i 0
-}
-{ .mfi
- ldfpd fA7, fA6 = [rCoeffAddr2], 16
- nop.f 0
- nop.i 0
-}
-;;
-{ .mfi
- ldfpd fA5, fA4 = [rCoeffAddr1], 16
- nop.f 0
- nop.i 0
-}
-{ .mfi
- ldfpd fA3, fA2 = [rCoeffAddr2], 16
- nop.f 0
- nop.i 0
-}
-;;
-{ .mfi
- ldfe fA1 = [rCoeffAddr1]
- nop.f 0
- nop.i 0
-}
-{ .mfi
- ldfe fA0 = [rCoeffAddr2]
- nop.f 0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fTQuadr = fTSqr, fTSqr, f0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fA9, fArgSqr, fA8
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA7 = fA7, fArgSqr, fA6
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA3 = fA3, fArgSqr, fA2
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA5 = fA5, fArgSqr, fA4
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA1 = fA1, fArgSqr, fA0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fTQuadrSgn = fTQuadr, f8, f0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTSqr, fA7
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA1 = fA3, fTSqr, fA1
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRes = fRes, fTSqr, fA5
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA1 = fA1, f8, f0
- nop.i 0
-}
-;;
-{ .mfb
- nop.m 0
- fma.d.s0 f8 = fRes, fTQuadrSgn, fA1 // x*Pol9(x^2)
- br.ret.sptk b0 // Exit for |x| < 0.5
-};;
-
-// Here if 5.90625 <= |x| < +inf
-.align 32
-erf_saturation:
-{ .mfi
- adds rDataPtr = 1376, rDataPtr // address of A0
- nop.f 0
- nop.i 0
-}
-;;
-{ .mfi
- ldfe fA0 = [rDataPtr]
- nop.f 0
- nop.i 0
-}
-;;
-{ .mfb
- nop.m 0
- fma.d.s0 f8 = fA0, fSignumX, f0 // sign(x)*(1.0 - 2^(-63))
- // Exit for 5.90625 <= |x| < +inf
- br.ret.sptk b0 // Exit for 5.90625 <=|x|< +inf
-}
-;;
-
-// Here if x is double precision denormal
-.align 32
-erf_denormal:
-{ .mfi
- adds rDataPtr = 1632, rDataPtr // address of A0
- fclass.m p7,p8 = f8, 0x0a // is x -denormal ?
- nop.i 0
-}
-;;
-{ .mfi
- ldfe fA0 = [rDataPtr] // A0
- nop.f 0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA0 = fA0,f8,f0 // A0*x
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
-(p7) fma.d.s0 f8 = f8,f8,fA0 // -denormal
- nop.i 0
-}
-{ .mfb
- nop.m 0
-(p8) fnma.d.s0 f8 = f8,f8,fA0 // +denormal
- br.ret.sptk b0 // Exit for denormal
-}
-;;
-
-GLOBAL_LIBM_END(erf)
-
-
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-19 18:04:16 +0000