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-rw-r--r--sysdeps/ia64/fpu/e_acos.S1499
1 files changed, 770 insertions, 729 deletions
diff --git a/sysdeps/ia64/fpu/e_acos.S b/sysdeps/ia64/fpu/e_acos.S
index c2b31ab85e..7e83811727 100644
--- a/sysdeps/ia64/fpu/e_acos.S
+++ b/sysdeps/ia64/fpu/e_acos.S
@@ -1,10 +1,10 @@
.file "acos.s"
-
-// Copyright (c) 2000 - 2003 Intel Corporation
+// Copyright (C) 2000, 2001, Intel Corporation
// All rights reserved.
//
-// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
@@ -20,7 +20,9 @@
// * The name of Intel Corporation may not be used to endorse or promote
// products derived from this software without specific prior written
// permission.
-
+//
+// WARRANTY DISCLAIMER
+//
// 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
@@ -35,801 +37,838 @@
//
// 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.
+// http://developer.intel.com/opensource.
// History
//==============================================================
-// 02/02/00 Initial version
-// 08/17/00 New and much faster algorithm.
-// 08/30/00 Avoided bank conflicts on loads, shortened |x|=1 and x=0 paths,
+// 2/02/00 Initial version
+// 8/17/00 New and much faster algorithm.
+// 8/30/00 Avoided bank conflicts on loads, shortened |x|=1 and x=0 paths,
// fixed mfb split issue stalls.
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 08/02/02 New and much faster algorithm II
-// 02/06/03 Reordered header: .section, .global, .proc, .align
// Description
//=========================================
-// The acos function computes the principal value of the arc cosine of x.
-// acos(0) returns Pi/2, acos(1) returns 0, acos(-1) returns Pi.
+// The acos function computes the principle value of the arc sine of x.
// A doman error occurs for arguments not in the range [-1,+1].
-//
-// The acos function returns the arc cosine in the range [0, Pi] radians.
-//
-// There are 8 paths:
-// 1. x = +/-0.0
-// Return acos(x) = Pi/2 + x
-//
-// 2. 0.0 < |x| < 0.625
-// Return acos(x) = Pi/2 - x - x^3 *PolA(x^2)
-// where PolA(x^2) = A3 + A5*x^2 + A7*x^4 +...+ A35*x^32
-//
-// 3. 0.625 <=|x| < 1.0
-// Return acos(x) = Pi/2 - asin(x) =
-// = Pi/2 - sign(x) * ( Pi/2 - sqrt(R) * PolB(R))
-// Where R = 1 - |x|,
-// PolB(R) = B0 + B1*R + B2*R^2 +...+B12*R^12
-//
-// sqrt(R) is approximated using the following sequence:
-// y0 = (1 + eps)/sqrt(R) - initial approximation by frsqrta,
-// |eps| < 2^(-8)
-// Then 3 iterations are used to refine the result:
-// H0 = 0.5*y0
-// S0 = R*y0
-//
-// d0 = 0.5 - H0*S0
-// H1 = H0 + d0*H0
-// S1 = S0 + d0*S0
-//
-// d1 = 0.5 - H1*S1
-// H2 = H1 + d0*H1
-// S2 = S1 + d0*S1
-//
-// d2 = 0.5 - H2*S2
-// S3 = S3 + d2*S3
-//
-// S3 approximates sqrt(R) with enough accuracy for this algorithm
-//
-// So, the result should be reconstracted as follows:
-// acos(x) = Pi/2 - sign(x) * (Pi/2 - S3*PolB(R))
-//
-// But for optimization purposes the reconstruction step is slightly
-// changed:
-// acos(x) = Cpi + sign(x)*PolB(R)*S2 - sign(x)*d2*S2*PolB(R)
-// where Cpi = 0 if x > 0 and Cpi = Pi if x < 0
-//
-// 4. |x| = 1.0
-// Return acos(1.0) = 0.0, acos(-1.0) = Pi
-//
-// 5. 1.0 < |x| <= +INF
-// A doman error occurs for arguments not in the range [-1,+1]
-//
-// 6. x = [S,Q]NaN
-// Return acos(x) = QNaN
-//
-// 7. x is denormal
-// Return acos(x) = Pi/2 - x,
-//
-// 8. x is unnormal
-// Normalize input in f8 and return to the very beginning of the function
-//
-// Registers used
-//==============================================================
-// Floating Point registers used:
-// f8, input, output
-// f6, f7, f9 -> f15, f32 -> f64
-// General registers used:
-// r3, r21 -> r31, r32 -> r38
+// The acos function returns the arc cosine in the range [0, +pi] radians.
+// acos(1) returns +0, acos(-1) returns pi, acos(0) returns pi/2.
+// acos(x) returns a Nan and raises the invalid exception for |x| >1
-// Predicate registers used:
-// p0, p6 -> p14
+// The acos function is just like asin except that pi/2 is added at the end.
//
// Assembly macros
//=========================================
-// integer registers used
-// scratch
-rTblAddr = r3
-
-rPiBy2Ptr = r21
-rTmpPtr3 = r22
-rDenoBound = r23
-rOne = r24
-rAbsXBits = r25
-rHalf = r26
-r0625 = r27
-rSign = r28
-rXBits = r29
-rTmpPtr2 = r30
-rTmpPtr1 = r31
-
-// stacked
-GR_SAVE_PFS = r32
-GR_SAVE_B0 = r33
-GR_SAVE_GP = r34
-GR_Parameter_X = r35
-GR_Parameter_Y = r36
-GR_Parameter_RESULT = r37
-GR_Parameter_TAG = r38
-
-// floating point registers used
-FR_X = f10
-FR_Y = f1
-FR_RESULT = f8
-
-
-// scratch
-fXSqr = f6
-fXCube = f7
-fXQuadr = f9
-f1pX = f10
-f1mX = f11
-f1pXRcp = f12
-f1mXRcp = f13
-fH = f14
-fS = f15
-// stacked
-fA3 = f32
-fB1 = f32
-fA5 = f33
-fB2 = f33
-fA7 = f34
-fPiBy2 = f34
-fA9 = f35
-fA11 = f36
-fB10 = f35
-fB11 = f36
-fA13 = f37
-fA15 = f38
-fB4 = f37
-fB5 = f38
-fA17 = f39
-fA19 = f40
-fB6 = f39
-fB7 = f40
-fA21 = f41
-fA23 = f42
-fB3 = f41
-fB8 = f42
-fA25 = f43
-fA27 = f44
-fB9 = f43
-fB12 = f44
-fA29 = f45
-fA31 = f46
-fA33 = f47
-fA35 = f48
-fBaseP = f49
-fB0 = f50
-fSignedS = f51
-fD = f52
-fHalf = f53
-fR = f54
-fCloseTo1Pol = f55
-fSignX = f56
-fDenoBound = f57
-fNormX = f58
-fX8 = f59
-fRSqr = f60
-fRQuadr = f61
-fR8 = f62
-fX16 = f63
-fCpi = f64
+
+#include "libm_support.h"
+
+// predicate registers
+//acos_pred_LEsqrt2by2 = p7
+//acos_pred_GTsqrt2by2 = p8
+
+// integer registers
+ASIN_Addr1 = r33
+ASIN_Addr2 = r34
+ASIN_FFFE = r35
+
+GR_SAVE_B0 = r36
+GR_SAVE_PFS = r37
+GR_SAVE_GP = r38
+
+GR_Parameter_X = r39
+GR_Parameter_Y = r40
+GR_Parameter_RESULT = r41
+GR_Parameter_Tag = r42
+
+// floating point registers
+acos_coeff_P1 = f32
+acos_coeff_P2 = f33
+acos_coeff_P3 = f34
+acos_coeff_P4 = f35
+
+acos_coeff_P5 = f36
+acos_coeff_P6 = f37
+acos_coeff_P7 = f38
+acos_coeff_P8 = f39
+acos_coeff_P9 = f40
+
+acos_coeff_P10 = f41
+acos_coeff_P11 = f42
+acos_coeff_P12 = f43
+acos_coeff_P13 = f44
+acos_coeff_P14 = f45
+
+acos_coeff_P15 = f46
+acos_coeff_P16 = f47
+acos_coeff_P17 = f48
+acos_coeff_P18 = f49
+acos_coeff_P19 = f50
+
+acos_coeff_P20 = f51
+acos_coeff_P21 = f52
+acos_const_sqrt2by2 = f53
+acos_const_piby2 = f54
+acos_abs_x = f55
+
+acos_tx = f56
+acos_tx2 = f57
+acos_tx3 = f58
+acos_tx4 = f59
+acos_tx8 = f60
+
+acos_tx11 = f61
+acos_1poly_p8 = f62
+acos_1poly_p19 = f63
+acos_1poly_p4 = f64
+acos_1poly_p15 = f65
+
+acos_1poly_p6 = f66
+acos_1poly_p17 = f67
+acos_1poly_p0 = f68
+acos_1poly_p11 = f69
+acos_1poly_p2 = f70
+
+acos_1poly_p13 = f71
+acos_series_tx = f72
+acos_t = f73
+acos_t2 = f74
+acos_t3 = f75
+
+acos_t4 = f76
+acos_t8 = f77
+acos_t11 = f78
+acos_poly_p8 = f79
+acos_poly_p19 = f80
+
+acos_poly_p4 = f81
+acos_poly_p15 = f82
+acos_poly_p6 = f83
+acos_poly_p17 = f84
+acos_poly_p0 = f85
+
+acos_poly_p11 = f86
+acos_poly_p2 = f87
+acos_poly_p13 = f88
+acos_series_t = f89
+acos_1by2 = f90
+
+acos_3by2 = f91
+acos_5by2 = f92
+acos_11by4 = f93
+acos_35by8 = f94
+acos_63by8 = f95
+
+acos_231by16 = f96
+acos_y0 = f97
+acos_H0 = f98
+acos_S0 = f99
+acos_d = f100
+
+acos_l1 = f101
+acos_d2 = f102
+acos_T0 = f103
+acos_d1 = f104
+acos_e0 = f105
+
+acos_l2 = f106
+acos_d3 = f107
+acos_T3 = f108
+acos_S1 = f109
+acos_e1 = f110
+
+acos_z = f111
+answer2 = f112
+acos_sgn_x = f113
+acos_429by16 = f114
+acos_18by4 = f115
+
+acos_3by4 = f116
+acos_l3 = f117
+acos_T6 = f118
+acos_const_add = f119
// Data tables
//==============================================================
-RODATA
+
+#ifdef _LIBC
+.rodata
+#else
+.data
+#endif
+
.align 16
-LOCAL_OBJECT_START(acos_base_range_table)
-// Ai: Polynomial coefficients for the acos(x), |x| < .625000
-// Bi: Polynomial coefficients for the acos(x), |x| > .625000
-data8 0xBFDAAB56C01AE468 //A29
-data8 0x3FE1C470B76A5B2B //A31
-data8 0xBFDC5FF82A0C4205 //A33
-data8 0x3FC71FD88BFE93F0 //A35
-data8 0xB504F333F9DE6487, 0x00003FFF //B0
-data8 0xAAAAAAAAAAAAFC18, 0x00003FFC //A3
-data8 0x3F9F1C71BC4A7823 //A9
-data8 0x3F96E8BBAAB216B2 //A11
-data8 0x3F91C4CA1F9F8A98 //A13
-data8 0x3F8C9DDCEDEBE7A6 //A15
-data8 0x3F877784442B1516 //A17
-data8 0x3F859C0491802BA2 //A19
-data8 0x9999999998C88B8F, 0x00003FFB //A5
-data8 0x3F6BD7A9A660BF5E //A21
-data8 0x3F9FC1659340419D //A23
-data8 0xB6DB6DB798149BDF, 0x00003FFA //A7
-data8 0xBFB3EF18964D3ED3 //A25
-data8 0x3FCD285315542CF2 //A27
-data8 0xF15BEEEFF7D2966A, 0x00003FFB //B1
-data8 0x3EF0DDA376D10FB3 //B10
-data8 0xBEB83CAFE05EBAC9 //B11
-data8 0x3F65FFB67B513644 //B4
-data8 0x3F5032FBB86A4501 //B5
-data8 0x3F392162276C7CBA //B6
-data8 0x3F2435949FD98BDF //B7
-data8 0xD93923D7FA08341C, 0x00003FF9 //B2
-data8 0x3F802995B6D90BDB //B3
-data8 0x3F10DF86B341A63F //B8
-data8 0xC90FDAA22168C235, 0x00003FFF // Pi/2
-data8 0x3EFA3EBD6B0ECB9D //B9
-data8 0x3EDE18BA080E9098 //B12
-LOCAL_OBJECT_END(acos_base_range_table)
+
+acos_coeff_1_table:
+ASM_TYPE_DIRECTIVE(acos_coeff_1_table,@object)
+data8 0xE4E7E0A423A21249 , 0x00003FF8 //P7
+data8 0xC2F7EE0200FCE2A5 , 0x0000C003 //P18
+data8 0xB745D7F6C65C20E0 , 0x00003FF9 //P5
+data8 0xF75E381A323D4D94 , 0x0000C002 //P16
+data8 0x8959C2629C1024C0 , 0x0000C002 //P20
+data8 0xAFF68E7D241292C5 , 0x00003FF8 //P9
+data8 0xB6DB6DB7260AC30D , 0x00003FFA //P3
+data8 0xD0417CE2B41CB7BF , 0x0000C000 //P14
+data8 0x81D570FEA724E3E4 , 0x0000BFFD //P12
+data8 0xAAAAAAAAAAAAC277 , 0x00003FFC //P1
+data8 0xF534912FF3E7B76F , 0x00003FFF //P21
+data8 0xc90fdaa22168c235 , 0x00003fff // pi/2
+data8 0x0000000000000000 , 0x00000000 // pad to avoid bank conflicts
+ASM_SIZE_DIRECTIVE(acos_coeff_1_table)
+
+
+acos_coeff_2_table:
+ASM_TYPE_DIRECTIVE(acos_coeff_2_table,@object)
+data8 0x8E26AF5F29B39A2A , 0x00003FF9 //P6
+data8 0xB4F118A4B1015470 , 0x00004003 //P17
+data8 0xF8E38E10C25990E0 , 0x00003FF9 //P4
+data8 0x80F50489AEF1CAC6 , 0x00004002 //P15
+data8 0x92728015172CFE1C , 0x00004003 //P19
+data8 0xBBC3D831D4595971 , 0x00003FF8 //P8
+data8 0x999999999952A5C3 , 0x00003FFB //P2
+data8 0x855576BE6F0975EC , 0x00003FFF //P13
+data8 0xF12420E778077D89 , 0x00003FFA //P11
+data8 0xB6590FF4D23DE003 , 0x00003FF3 //P10
+data8 0xb504f333f9de6484 , 0x00003ffe // sqrt(2)/2
+ASM_SIZE_DIRECTIVE(acos_coeff_2_table)
+
+
+.align 32
+.global acos
+ASM_TYPE_DIRECTIVE(acos,@function)
.section .text
-GLOBAL_LIBM_ENTRY(acos)
-acos_unnormal_back:
-{ .mfi
- getf.d rXBits = f8 // grab bits of input value
- // set p12 = 1 if x is a NaN, denormal, or zero
- fclass.m p12, p0 = f8, 0xcf
- adds rSign = 1, r0
-}
-{ .mfi
- addl rTblAddr = @ltoff(acos_base_range_table),gp
- // 1 - x = 1 - |x| for positive x
- fms.s1 f1mX = f1, f1, f8
- addl rHalf = 0xFFFE, r0 // exponent of 1/2
-}
-;;
-{ .mfi
- addl r0625 = 0x3FE4, r0 // high 16 bits of 0.625
- // set p8 = 1 if x < 0
- fcmp.lt.s1 p8, p9 = f8, f0
- shl rSign = rSign, 63 // sign bit
-}
-{ .mfi
- // point to the beginning of the table
- ld8 rTblAddr = [rTblAddr]
- // 1 + x = 1 - |x| for negative x
- fma.s1 f1pX = f1, f1, f8
- adds rOne = 0x3FF, r0
-}
-;;
-{ .mfi
- andcm rAbsXBits = rXBits, rSign // bits of |x|
- fmerge.s fSignX = f8, f1 // signum(x)
- shl r0625 = r0625, 48 // bits of DP representation of 0.625
-}
-{ .mfb
- setf.exp fHalf = rHalf // load A2 to FP reg
- fma.s1 fXSqr = f8, f8, f0 // x^2
- // branch on special path if x is a NaN, denormal, or zero
-(p12) br.cond.spnt acos_special
-}
-;;
-{ .mfi
- adds rPiBy2Ptr = 272, rTblAddr
- nop.f 0
- shl rOne = rOne, 52 // bits of 1.0
-}
-{ .mfi
- adds rTmpPtr1 = 16, rTblAddr
- nop.f 0
- // set p6 = 1 if |x| < 0.625
- cmp.lt p6, p7 = rAbsXBits, r0625
-}
-;;
-{ .mfi
- ldfpd fA29, fA31 = [rTblAddr] // A29, fA31
- // 1 - x = 1 - |x| for positive x
-(p9) fms.s1 fR = f1, f1, f8
- // point to coefficient of "near 1" polynomial
-(p7) adds rTmpPtr2 = 176, rTblAddr
-}
-{ .mfi
- ldfpd fA33, fA35 = [rTmpPtr1], 16 // A33, fA35
- // 1 + x = 1 - |x| for negative x
-(p8) fma.s1 fR = f1, f1, f8
-(p6) adds rTmpPtr2 = 48, rTblAddr
-}
-;;
-{ .mfi
- ldfe fB0 = [rTmpPtr1], 16 // B0
- nop.f 0
- nop.i 0
-}
-{ .mib
- adds rTmpPtr3 = 16, rTmpPtr2
- // set p10 = 1 if |x| = 1.0
- cmp.eq p10, p0 = rAbsXBits, rOne
- // branch on special path for |x| = 1.0
-(p10) br.cond.spnt acos_abs_1
-}
-;;
-{ .mfi
- ldfe fA3 = [rTmpPtr2], 48 // A3 or B1
- nop.f 0
- adds rTmpPtr1 = 64, rTmpPtr3
-}
-{ .mib
- ldfpd fA9, fA11 = [rTmpPtr3], 16 // A9, A11 or B10, B11
- // set p11 = 1 if |x| > 1.0
- cmp.gt p11, p0 = rAbsXBits, rOne
- // branch on special path for |x| > 1.0
-(p11) br.cond.spnt acos_abs_gt_1
-}
-;;
-{ .mfi
- ldfpd fA17, fA19 = [rTmpPtr2], 16 // A17, A19 or B6, B7
- // initial approximation of 1 / sqrt(1 - x)
- frsqrta.s1 f1mXRcp, p0 = f1mX
- nop.i 0
-}
-{ .mfi
- ldfpd fA13, fA15 = [rTmpPtr3] // A13, A15 or B4, B5
- fma.s1 fXCube = fXSqr, f8, f0 // x^3
- nop.i 0
-}
-;;
-{ .mfi
- ldfe fA5 = [rTmpPtr2], 48 // A5 or B2
- // initial approximation of 1 / sqrt(1 + x)
- frsqrta.s1 f1pXRcp, p0 = f1pX
- nop.i 0
-}
-{ .mfi
- ldfpd fA21, fA23 = [rTmpPtr1], 16 // A21, A23 or B3, B8
- fma.s1 fXQuadr = fXSqr, fXSqr, f0 // x^4
- nop.i 0
-}
-;;
-{ .mfi
- ldfe fA7 = [rTmpPtr1] // A7 or Pi/2
- fma.s1 fRSqr = fR, fR, f0 // R^2
- nop.i 0
-}
-{ .mfb
- ldfpd fA25, fA27 = [rTmpPtr2] // A25, A27 or B9, B12
- nop.f 0
-(p6) br.cond.spnt acos_base_range;
-}
-;;
+.proc acos
+.align 32
-{ .mfi
- nop.m 0
-(p9) fma.s1 fH = fHalf, f1mXRcp, f0 // H0 for x > 0
- nop.i 0
-}
-{ .mfi
- nop.m 0
-(p9) fma.s1 fS = f1mX, f1mXRcp, f0 // S0 for x > 0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
-(p8) fma.s1 fH = fHalf, f1pXRcp, f0 // H0 for x < 0
- nop.i 0
-}
-{ .mfi
- nop.m 0
-(p8) fma.s1 fS = f1pX, f1pXRcp, f0 // S0 for x > 0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fRQuadr = fRSqr, fRSqr, f0 // R^4
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fB11 = fB11, fR, fB10
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fB1 = fB1, fR, fB0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fB5 = fB5, fR, fB4
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fB7 = fB7, fR, fB6
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fB3 = fB3, fR, fB2
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fnma.s1 fD = fH, fS, fHalf // d0 = 1/2 - H0*S0
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fR8 = fRQuadr, fRQuadr, f0 // R^4
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fB9 = fB9, fR, fB8
- nop.i 0
+
+acos:
+
+{ .mfi
+ alloc r32 = ar.pfs,1,6,4,0
+ fma.s1 acos_tx = f8,f8,f0
+ addl ASIN_Addr2 = @ltoff(acos_coeff_2_table),gp
+}
+{ .mfi
+ mov ASIN_FFFE = 0xFFFE
+ fnma.s1 acos_t = f8,f8,f1
+ addl ASIN_Addr1 = @ltoff(acos_coeff_1_table),gp
}
;;
-{.mfi
- nop.m 0
- fma.s1 fB12 = fB12, fRSqr, fB11
- nop.i 0
-}
-{.mfi
- nop.m 0
- fma.s1 fB7 = fB7, fRSqr, fB5
- nop.i 0
-}
+
+
+{ .mfi
+ setf.exp acos_1by2 = ASIN_FFFE
+ fmerge.s acos_abs_x = f1,f8
+ nop.i 999 ;;
+}
+
+
+{ .mmf
+ ld8 ASIN_Addr1 = [ASIN_Addr1]
+ ld8 ASIN_Addr2 = [ASIN_Addr2]
+ fmerge.s acos_sgn_x = f8,f1
+}
;;
-{.mfi
- nop.m 0
- fma.s1 fB3 = fB3, fRSqr, fB1
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fcmp.lt.s1 p11,p12 = f8, f0
+ nop.i 999 ;;
+}
+
+
+{ .mfi
+ ldfe acos_coeff_P7 = [ASIN_Addr1],16
+ fma.s1 acos_tx2 = acos_tx,acos_tx,f0
+ nop.i 999
+}
+{ .mfi
+ ldfe acos_coeff_P6 = [ASIN_Addr2],16
+ fma.s1 acos_t2 = acos_t,acos_t,f0
+ nop.i 999;;
}
+
+
+{ .mmf
+ ldfe acos_coeff_P18 = [ASIN_Addr1],16
+ ldfe acos_coeff_P17 = [ASIN_Addr2],16
+ fclass.m.unc p8,p0 = f8, 0xc3 //@qnan |@snan
+}
;;
-{ .mfi
- nop.m 0
- fma.s1 fH = fH, fD, fH // H1 = H0 + H0*d0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fS = fS, fD, fS // S1 = S0 + S0*d0
- nop.i 0
-}
+
+
+{ .mmf
+ ldfe acos_coeff_P5 = [ASIN_Addr1],16
+ ldfe acos_coeff_P4 = [ASIN_Addr2],16
+ frsqrta.s1 acos_y0,p0 = acos_t
+}
;;
-{.mfi
- nop.m 0
-(p9) fma.s1 fCpi = f1, f0, f0 // Cpi = 0 if x > 0
- nop.i 0
-}
-{ .mfi
- nop.m 0
-(p8) fma.s1 fCpi = fPiBy2, f1, fPiBy2 // Cpi = Pi if x < 0
- nop.i 0
+
+
+{ .mfi
+ ldfe acos_coeff_P16 = [ASIN_Addr1],16
+ fcmp.gt.s1 p9,p0 = acos_abs_x,f1
+ nop.i 999
+}
+{ .mfb
+ ldfe acos_coeff_P15 = [ASIN_Addr2],16
+(p8) fma.d f8 = f8,f1,f0
+(p8) br.ret.spnt b0
}
;;
-{ .mfi
- nop.m 0
- fma.s1 fB12 = fB12, fRSqr, fB9
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fB7 = fB7, fRQuadr, fB3
- nop.i 0
-}
+
+
+{ .mmf
+ ldfe acos_coeff_P20 = [ASIN_Addr1],16
+ ldfe acos_coeff_P19 = [ASIN_Addr2],16
+ fclass.m.unc p10,p0 = f8, 0x07 //@zero
+}
;;
-{.mfi
- nop.m 0
- fnma.s1 fD = fH, fS, fHalf // d1 = 1/2 - H1*S1
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fnma.s1 fSignedS = fSignX, fS, f0 // -signum(x)*S1
- nop.i 0
+
+
+{ .mfi
+ ldfe acos_coeff_P9 = [ASIN_Addr1],16
+ fma.s1 acos_t4 = acos_t2,acos_t2,f0
+(p9) mov GR_Parameter_Tag = 58
+}
+{ .mfi
+ ldfe acos_coeff_P8 = [ASIN_Addr2],16
+ fma.s1 acos_3by2 = acos_1by2,f1,f1
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fCloseTo1Pol = fB12, fR8, fB7
- nop.i 0
+
+
+{ .mfi
+ ldfe acos_coeff_P2 = [ASIN_Addr2],16
+ fma.s1 acos_tx4 = acos_tx2,acos_tx2,f0
+ nop.i 999
+}
+{ .mfb
+ ldfe acos_coeff_P3 = [ASIN_Addr1],16
+ fma.s1 acos_t3 = acos_t,acos_t2,f0
+(p9) br.cond.spnt __libm_error_region
}
;;
-{ .mfi
- nop.m 0
- fma.s1 fH = fH, fD, fH // H2 = H1 + H1*d1
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fS = fS, fD, fS // S2 = S1 + S1*d1
- nop.i 0
+
+
+{ .mfi
+ ldfe acos_coeff_P13 = [ASIN_Addr2],16
+ fma.s1 acos_H0 = acos_y0,acos_1by2,f0
+ nop.i 999
+}
+{ .mfi
+ ldfe acos_coeff_P14 = [ASIN_Addr1],16
+ fma.s1 acos_S0 = acos_y0,acos_t,f0
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- // -signum(x)* S2 = -signum(x)*(S1 + S1*d1)
- fma.s1 fSignedS = fSignedS, fD, fSignedS
- nop.i 0
+
+
+{ .mfi
+ ldfe acos_coeff_P11 = [ASIN_Addr2],16
+ fcmp.eq.s1 p6,p0 = acos_abs_x, f1
+ nop.i 999
+}
+{ .mfi
+ ldfe acos_coeff_P12 = [ASIN_Addr1],16
+ fma.s1 acos_tx3 = acos_tx,acos_tx2,f0
+ nop.i 999
}
;;
-{.mfi
- nop.m 0
- fnma.s1 fD = fH, fS, fHalf // d2 = 1/2 - H2*S2
- nop.i 0
+
+
+{ .mfi
+ ldfe acos_coeff_P10 = [ASIN_Addr2],16
+ fma.s1 acos_1poly_p6 = acos_tx,acos_coeff_P7,acos_coeff_P6
+ nop.i 999
+}
+{ .mfi
+ ldfe acos_coeff_P1 = [ASIN_Addr1],16
+ fma.s1 acos_poly_p6 = acos_t,acos_coeff_P7,acos_coeff_P6
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- // Cpi + signum(x)*PolB*S2
- fnma.s1 fCpi = fSignedS, fCloseTo1Pol, fCpi
- nop.i 0
+
+
+{ .mfi
+ ldfe acos_const_sqrt2by2 = [ASIN_Addr2],16
+ fma.s1 acos_5by2 = acos_3by2,f1,f1
+ nop.i 999
+}
+{ .mfi
+ ldfe acos_coeff_P21 = [ASIN_Addr1],16
+ fma.s1 acos_11by4 = acos_3by2,acos_3by2,acos_1by2
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- // signum(x)*PolB * S2
- fnma.s1 fCloseTo1Pol = fSignedS, fCloseTo1Pol, f0
- nop.i 0
+
+
+{ .mfi
+ ldfe acos_const_piby2 = [ASIN_Addr1],16
+ fma.s1 acos_poly_p17 = acos_t,acos_coeff_P18,acos_coeff_P17
+ nop.i 999
+}
+{ .mfb
+ nop.m 999
+ fma.s1 acos_3by4 = acos_3by2,acos_1by2,f0
+(p10) br.cond.spnt L(ACOS_ZERO) // Branch to short path if x=0
}
;;
-{ .mfb
- nop.m 0
- // final result for 0.625 <= |x| < 1
- fma.d.s0 f8 = fCloseTo1Pol, fD, fCpi
- // exit here for 0.625 <= |x| < 1
- br.ret.sptk b0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p15 = acos_t,acos_coeff_P16,acos_coeff_P15
+ nop.i 999
+}
+{ .mfb
+ nop.m 999
+ fnma.s1 acos_d = acos_S0,acos_H0,acos_1by2
+(p6) br.cond.spnt L(ACOS_ABS_ONE) // Branch to short path if |x|=1
}
;;
-
-// here if |x| < 0.625
-.align 32
-acos_base_range:
-{ .mfi
- ldfe fCpi = [rPiBy2Ptr] // Pi/2
- fma.s1 fA33 = fA33, fXSqr, fA31
- nop.i 0
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p19 = acos_t,acos_coeff_P20,acos_coeff_P19
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p4 = acos_t,acos_coeff_P5,acos_coeff_P4
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- fma.s1 fA15 = fA15, fXSqr, fA13
- nop.i 0
-}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA29 = fA29, fXSqr, fA27
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p17 = acos_tx,acos_coeff_P18,acos_coeff_P17
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p8 = acos_t,acos_coeff_P9,acos_coeff_P8
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- fma.s1 fA25 = fA25, fXSqr, fA23
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fms.s1 acos_35by8 = acos_5by2,acos_11by4,acos_5by2
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_63by8 = acos_5by2,acos_11by4,f1
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA21 = fA21, fXSqr, fA19
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p13 = acos_t,acos_coeff_P14,acos_coeff_P13
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_18by4 = acos_3by2,acos_5by2,acos_3by4
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- fma.s1 fA9 = fA9, fXSqr, fA7
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_l1 = acos_5by2,acos_d,acos_3by2
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_d2 = acos_d,acos_d,f0
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA5 = fA5, fXSqr, fA3
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p15 = acos_t2,acos_poly_p17,acos_poly_p15
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_T0 = acos_d,acos_S0,f0
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA35 = fA35, fXQuadr, fA33
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p19 = acos_t2,acos_coeff_P21,acos_poly_p19
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p4 = acos_t2,acos_poly_p6,acos_poly_p4
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- fma.s1 fA17 = fA17, fXQuadr, fA15
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_d1 = acos_35by8,acos_d,f0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_231by16 = acos_3by2,acos_35by8,acos_63by8
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fX8 = fXQuadr, fXQuadr, f0 // x^8
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p2 = acos_t,acos_coeff_P3,acos_coeff_P2
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p8 = acos_t2,acos_coeff_P10,acos_poly_p8
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- fma.s1 fA25 = fA25, fXQuadr, fA21
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p11 = acos_t,acos_coeff_P12,acos_coeff_P11
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_e0 = acos_d2,acos_l1,acos_d
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA9 = fA9, fXQuadr, fA5
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p15 = acos_tx,acos_coeff_P16,acos_coeff_P15
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p0 = acos_t,acos_coeff_P1,f1
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fms.s1 fCpi = fCpi, f1, f8 // Pi/2 - x
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p19 = acos_tx,acos_coeff_P20,acos_coeff_P19
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p4 = acos_tx,acos_coeff_P5,acos_coeff_P4
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA35 = fA35, fXQuadr, fA29
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p8 = acos_tx,acos_coeff_P9,acos_coeff_P8
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_l2 = acos_231by16,acos_d,acos_63by8
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- fma.s1 fA17 = fA17, fXSqr, fA11
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_d3 = acos_d2,acos_d,f0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_T3 = acos_d2,acos_T0,f0
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fX16 = fX8, fX8, f0 // x^16
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_429by16 = acos_18by4,acos_11by4,acos_231by16
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_S1 = acos_e0,acos_S0,acos_S0
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fA35 = fA35, fX8, fA25
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p4 = acos_t4,acos_poly_p8,acos_poly_p4
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p15 = acos_t4,acos_poly_p19,acos_poly_p15
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- fma.s1 fA17 = fA17, fX8, fA9
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p0 = acos_t2,acos_poly_p2,acos_poly_p0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p11 = acos_t2,acos_poly_p13,acos_poly_p11
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- fma.s1 fBaseP = fA35, fX16, fA17
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_t8 = acos_t4,acos_t4,f0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_e1 = acos_d2,acos_l2,acos_d1
+ nop.i 999;;
}
-;;
-{ .mfb
- nop.m 0
- // final result for |x| < 0.625
- fnma.d.s0 f8 = fBaseP, fXCube, fCpi
- // exit here for |x| < 0.625 path
- br.ret.sptk b0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p4 = acos_tx2,acos_1poly_p6,acos_1poly_p4
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p15 = acos_tx2,acos_1poly_p17,acos_1poly_p15
+ nop.i 999;;
}
-;;
-// here if |x| = 1
-// acos(1) = 0
-// acos(-1) = Pi
-.align 32
-acos_abs_1:
-{ .mfi
- ldfe fPiBy2 = [rPiBy2Ptr] // Pi/2
- nop.f 0
- nop.i 0
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p8 = acos_tx2,acos_coeff_P10,acos_1poly_p8
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p19 = acos_tx2,acos_coeff_P21,acos_1poly_p19
+ nop.i 999;;
}
-;;
-.pred.rel "mutex", p8, p9
-{ .mfi
- nop.m 0
- // result for x = 1.0
-(p9) fma.d.s0 f8 = f1, f0, f0 // 0.0
- nop.i 0
-}
-{.mfb
- nop.m 0
- // result for x = -1.0
-(p8) fma.d.s0 f8 = fPiBy2, f1, fPiBy2 // Pi
- // exit here for |x| = 1.0
- br.ret.sptk b0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p2 = acos_tx,acos_coeff_P3,acos_coeff_P2
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p13 = acos_tx,acos_coeff_P14,acos_coeff_P13
+ nop.i 999;;
}
-;;
-// here if x is a NaN, denormal, or zero
-.align 32
-acos_special:
-{ .mfi
- // point to Pi/2
- adds rPiBy2Ptr = 272, rTblAddr
- // set p12 = 1 if x is a NaN
- fclass.m p12, p0 = f8, 0xc3
- nop.i 0
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p0 = acos_tx,acos_coeff_P1,f1
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p11 = acos_tx,acos_coeff_P12,acos_coeff_P11
+ nop.i 999;;
}
-{ .mlx
- nop.m 0
- // smallest positive DP normalized number
- movl rDenoBound = 0x0010000000000000
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_l3 = acos_429by16,acos_d,f0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_z = acos_e1,acos_T3,acos_S1
+ nop.i 999;;
}
-;;
-{ .mfi
- ldfe fPiBy2 = [rPiBy2Ptr] // Pi/2
- // set p13 = 1 if x = 0.0
- fclass.m p13, p0 = f8, 0x07
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p11 = acos_t4,acos_poly_p15,acos_poly_p11
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_T6 = acos_T3,acos_d3,f0
+ nop.i 999;;
}
-{ .mfi
- nop.m 0
- fnorm.s1 fNormX = f8
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_t11 = acos_t8,acos_t3,f0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_poly_p0 = acos_t4,acos_poly_p4,acos_poly_p0
+ nop.i 999;;
}
-;;
-{ .mfb
- // load smallest normal to FP reg
- setf.d fDenoBound = rDenoBound
- // answer if x is a NaN
-(p12) fma.d.s0 f8 = f8,f1,f0
- // exit here if x is a NaN
-(p12) br.ret.spnt b0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p4 = acos_tx4,acos_1poly_p8,acos_1poly_p4
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p15 = acos_tx4,acos_1poly_p19,acos_1poly_p15
+ nop.i 999;;
}
-;;
-{ .mfi
- nop.m 0
- // absolute value of normalized x
- fmerge.s fNormX = f1, fNormX
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p0 = acos_tx2,acos_1poly_p2,acos_1poly_p0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p11 = acos_tx2,acos_1poly_p13,acos_1poly_p11
+ nop.i 999;;
}
-;;
-{ .mfb
- nop.m 0
- // final result for x = 0
-(p13) fma.d.s0 f8 = fPiBy2, f1, f8
- // exit here if x = 0.0
-(p13) br.ret.spnt b0
+
+
+{ .mfi
+ nop.m 999
+// fcmp.le.s1 acos_pred_LEsqrt2by2,acos_pred_GTsqrt2by2 = acos_abs_x,acos_const_sqrt2by2
+ fcmp.le.s1 p7,p8 = acos_abs_x,acos_const_sqrt2by2
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_tx8 = acos_tx4,acos_tx4,f0
+ nop.i 999;;
}
-;;
-// if we still here then x is denormal or unnormal
-{ .mfi
- nop.m 0
- // set p14 = 1 if normalized x is greater than or
- // equal to the smallest denormalized value
- // So, if p14 is set to 1 it means that we deal with
- // unnormal rather than with "true" denormal
- fcmp.ge.s1 p14, p0 = fNormX, fDenoBound
- nop.i 0
+
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_z = acos_l3,acos_T6,acos_z
+ nop.i 999;;
+}
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_series_t = acos_t11,acos_poly_p11,acos_poly_p0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+(p11) fma.s1 acos_const_add = acos_const_piby2, f1, acos_const_piby2
+ nop.i 999
}
;;
+
{ .mfi
- nop.m 0
-(p14) fcmp.eq.s0 p6, p0 = f8, f0 // Set D flag if x unnormal
- nop.i 0
-}
-{ .mfb
- nop.m 0
- // normalize unnormal input
-(p14) fnorm.s1 f8 = f8
- // return to the main path
-(p14) br.cond.sptk acos_unnormal_back
+ nop.m 999
+(p12) fma.s1 acos_const_add = f1,f0,f0
+ nop.i 999
}
;;
-// if we still here it means that input is "true" denormal
-{ .mfb
- nop.m 0
- // final result if x is denormal
- fms.d.s0 f8 = fPiBy2, f1, f8 // Pi/2 - x
- // exit here if x is denormal
- br.ret.sptk b0
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p0 = acos_tx4,acos_1poly_p4,acos_1poly_p0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+ fma.s1 acos_1poly_p11 = acos_tx4,acos_1poly_p15,acos_1poly_p11
+ nop.i 999;;
}
-;;
-// here if |x| > 1.0
-// error handler should be called
-.align 32
-acos_abs_gt_1:
-{ .mfi
- alloc r32 = ar.pfs, 0, 3, 4, 0 // get some registers
- fmerge.s FR_X = f8,f8
- nop.i 0
-}
-{ .mfb
- mov GR_Parameter_TAG = 58 // error code
- frcpa.s0 FR_RESULT, p0 = f0,f0
- // call error handler routine
- br.cond.sptk __libm_error_region
-}
-;;
-GLOBAL_LIBM_END(acos)
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_tx11 = acos_tx8,acos_tx3,f0
+ nop.i 999;;
+}
+
+{ .mfi
+ nop.m 999
+//(acos_pred_GTsqrt2by2) fnma.s1 answer2 = acos_z,acos_series_t,acos_const_piby2
+(p8) fnma.s1 answer2 = acos_z,acos_series_t,f0
+ nop.i 999;;
+}
+
+{ .mfi
+ nop.m 999
+ fma.s1 acos_series_tx = acos_tx11,acos_1poly_p11,acos_1poly_p0
+ nop.i 999;;
+}
+
+{ .mfi
+ nop.m 999
+//(acos_pred_GTsqrt2by2) fnma.d f8 = acos_sgn_x,answer2,acos_const_piby2
+(p8) fnma.d f8 = acos_sgn_x,answer2,acos_const_add
+ nop.i 999;;
+}
+
+{ .mfb
+ nop.m 999
+//(acos_pred_LEsqrt2by2) fnma.d f8 = f8,acos_series_tx,acos_const_piby2
+(p7) fnma.d f8 = f8,acos_series_tx,acos_const_piby2
+ br.ret.sptk b0 ;;
+}
+
+
+L(ACOS_ZERO):
+// Here if x=0
+{ .mfb
+ nop.m 999
+ fma.d f8 = acos_const_piby2,f1,f0
+ br.ret.sptk b0 ;;
+}
+
+
+L(ACOS_ABS_ONE):
+.pred.rel "mutex",p11,p12
+// Here if |x|=1
+{ .mfi
+ nop.m 999
+(p11) fma.d f8 = acos_const_piby2,f1,acos_const_piby2 // acos(-1)=pi
+ nop.i 999
+}
+{ .mfb
+ nop.m 999
+(p12) fma.d f8 = f1,f0,f0 // acos(1)=0
+ br.ret.sptk b0 ;;
+}
+.endp acos
+ASM_SIZE_DIRECTIVE(acos)
-LOCAL_LIBM_ENTRY(__libm_error_region)
+.proc __libm_error_region
+__libm_error_region:
.prologue
{ .mfi
add GR_Parameter_Y=-32,sp // Parameter 2 value
- nop.f 0
+ nop.f 999
.save ar.pfs,GR_SAVE_PFS
mov GR_SAVE_PFS=ar.pfs // Save ar.pfs
}
@@ -840,29 +879,28 @@ LOCAL_LIBM_ENTRY(__libm_error_region)
mov GR_SAVE_GP=gp // Save gp
};;
{ .mmi
- stfd [GR_Parameter_Y] = FR_Y,16 // STORE Parameter 2 on stack
+ stfs [GR_Parameter_Y] = f1,16 // Store Parameter 2 on stack
add GR_Parameter_X = 16,sp // Parameter 1 address
.save b0, GR_SAVE_B0
mov GR_SAVE_B0=b0 // Save b0
};;
+
.body
+ frcpa.s0 f9,p0 = f0,f0
+;;
+
{ .mib
- stfd [GR_Parameter_X] = FR_X // STORE Parameter 1 on stack
- add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
- nop.b 0
+ stfd [GR_Parameter_X] = f8 // Store Parameter 1 on stack
+ add GR_Parameter_RESULT = 0,GR_Parameter_Y
+ nop.b 0 // Parameter 3 address
}
{ .mib
- stfd [GR_Parameter_Y] = FR_RESULT // STORE Parameter 3 on stack
- add GR_Parameter_Y = -16,GR_Parameter_Y
- br.call.sptk b0=__libm_error_support# // Call error handling function
+ stfd [GR_Parameter_Y] = f9,-16 // Store Parameter 3 on stack
+ adds r32 = 48,sp
+ br.call.sptk b0=__libm_error_support# // Call error handling function
};;
{ .mmi
- add GR_Parameter_RESULT = 48,sp
- nop.m 0
- nop.i 0
-};;
-{ .mmi
- ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack
+ ldfd f8 = [r32] // Get return result off stack
.restore sp
add sp = 64,sp // Restore stack pointer
mov b0 = GR_SAVE_B0 // Restore return address
@@ -871,8 +909,11 @@ LOCAL_LIBM_ENTRY(__libm_error_region)
mov gp = GR_SAVE_GP // Restore gp
mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs
br.ret.sptk b0 // Return
+
};;
-LOCAL_LIBM_END(__libm_error_region)
-.type __libm_error_support#,@function
-.global __libm_error_support#
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
+
+.type __libm_error_support,@function
+.global __libm_error_support
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