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authorZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
committerZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
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Prepare for radical source tree reorganization.zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage directory, REORG.TODO, except for files that will certainly still exist in their current form at top level when we're done (COPYING, COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which are moved to the new directory OldChangeLogs, instead), and the generated file INSTALL (which is just deleted; in the new order, there will be no generated files checked into version control).
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diff --git a/REORG.TODO/sysdeps/ia64/fpu/s_erf.S b/REORG.TODO/sysdeps/ia64/fpu/s_erf.S
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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)