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-.file "sinh.s"
-
-
-// Copyright (c) 2000 - 2005, Intel Corporation
-// All rights reserved.
-//
-// Contributed 2000 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
-//==============================================================
-// 02/02/00 Initial version
-// 04/04/00 Unwind support added
-// 08/15/00 Bundle added after call to __libm_error_support to properly
-// set [the previously overwritten] GR_Parameter_RESULT.
-// 10/12/00 Update to set denormal operand and underflow flags
-// 01/22/01 Fixed to set inexact flag for small args.
-// 05/02/01 Reworked to improve speed of all paths
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 11/20/02 Improved speed with new algorithm
-// 03/31/05 Reformatted delimiters between data tables
-
-// API
-//==============================================================
-// double sinh(double)
-
-// Overview of operation
-//==============================================================
-// Case 1: 0 < |x| < 2^-60
-// Result = x, computed by x+sgn(x)*x^2) to handle flags and rounding
-//
-// Case 2: 2^-60 < |x| < 0.25
-// Evaluate sinh(x) by a 13th order polynomial
-// Care is take for the order of multiplication; and A1 is not exactly 1/3!,
-// A2 is not exactly 1/5!, etc.
-// sinh(x) = x + (A1*x^3 + A2*x^5 + A3*x^7 + A4*x^9 + A5*x^11 + A6*x^13)
-//
-// Case 3: 0.25 < |x| < 710.47586
-// Algorithm is based on the identity sinh(x) = ( exp(x) - exp(-x) ) / 2.
-// The algorithm for exp is described as below. There are a number of
-// economies from evaluating both exp(x) and exp(-x). Although we
-// are evaluating both quantities, only where the quantities diverge do we
-// duplicate the computations. The basic algorithm for exp(x) is described
-// below.
-//
-// Take the input x. w is "how many log2/128 in x?"
-// w = x * 128/log2
-// n = int(w)
-// x = n log2/128 + r + delta
-
-// n = 128M + index_1 + 2^4 index_2
-// x = M log2 + (log2/128) index_1 + (log2/8) index_2 + r + delta
-
-// exp(x) = 2^M 2^(index_1/128) 2^(index_2/8) exp(r) exp(delta)
-// Construct 2^M
-// Get 2^(index_1/128) from table_1;
-// Get 2^(index_2/8) from table_2;
-// Calculate exp(r) by 5th order polynomial
-// r = x - n (log2/128)_high
-// delta = - n (log2/128)_low
-// Calculate exp(delta) as 1 + delta
-
-
-// Special values
-//==============================================================
-// sinh(+0) = +0
-// sinh(-0) = -0
-
-// sinh(+qnan) = +qnan
-// sinh(-qnan) = -qnan
-// sinh(+snan) = +qnan
-// sinh(-snan) = -qnan
-
-// sinh(-inf) = -inf
-// sinh(+inf) = +inf
-
-// Overflow and Underflow
-//=======================
-// sinh(x) = largest double normal when
-// |x| = 710.47586 = 0x408633ce8fb9f87d
-//
-// Underflow is handled as described in case 1 above
-
-// Registers used
-//==============================================================
-// Floating Point registers used:
-// f8, input, output
-// f6 -> f15, f32 -> f61
-
-// General registers used:
-// r14 -> r40
-
-// Predicate registers used:
-// p6 -> p15
-
-// Assembly macros
-//==============================================================
-
-rRshf = r14
-rN_neg = r14
-rAD_TB1 = r15
-rAD_TB2 = r16
-rAD_P = r17
-rN = r18
-rIndex_1 = r19
-rIndex_2_16 = r20
-rM = r21
-rBiased_M = r21
-rSig_inv_ln2 = r22
-rIndex_1_neg = r22
-rExp_bias = r23
-rExp_bias_minus_1 = r23
-rExp_mask = r24
-rTmp = r24
-rGt_ln = r24
-rIndex_2_16_neg = r24
-rM_neg = r25
-rBiased_M_neg = r25
-rRshf_2to56 = r26
-rAD_T1_neg = r26
-rExp_2tom56 = r28
-rAD_T2_neg = r28
-rAD_T1 = r29
-rAD_T2 = r30
-rSignexp_x = r31
-rExp_x = r31
-
-GR_SAVE_B0 = r33
-GR_SAVE_PFS = r34
-GR_SAVE_GP = r35
-
-GR_Parameter_X = r37
-GR_Parameter_Y = r38
-GR_Parameter_RESULT = r39
-GR_Parameter_TAG = r40
-
-
-FR_X = f10
-FR_Y = f1
-FR_RESULT = f8
-
-fRSHF_2TO56 = f6
-fINV_LN2_2TO63 = f7
-fW_2TO56_RSH = f9
-f2TOM56 = f11
-fP5 = f12
-fP4 = f13
-fP3 = f14
-fP2 = f15
-
-fLn2_by_128_hi = f33
-fLn2_by_128_lo = f34
-
-fRSHF = f35
-fNfloat = f36
-fNormX = f37
-fR = f38
-fF = f39
-
-fRsq = f40
-f2M = f41
-fS1 = f42
-fT1 = f42
-fS2 = f43
-fT2 = f43
-fS = f43
-fWre_urm_f8 = f44
-fAbsX = f44
-
-fMIN_DBL_OFLOW_ARG = f45
-fMAX_DBL_NORM_ARG = f46
-fXsq = f47
-fX4 = f48
-fGt_pln = f49
-fTmp = f49
-
-fP54 = f50
-fP5432 = f50
-fP32 = f51
-fP = f52
-fP54_neg = f53
-fP5432_neg = f53
-fP32_neg = f54
-fP_neg = f55
-fF_neg = f56
-
-f2M_neg = f57
-fS1_neg = f58
-fT1_neg = f58
-fS2_neg = f59
-fT2_neg = f59
-fS_neg = f59
-fExp = f60
-fExp_neg = f61
-
-fA6 = f50
-fA65 = f50
-fA6543 = f50
-fA654321 = f50
-fA5 = f51
-fA4 = f52
-fA43 = f52
-fA3 = f53
-fA2 = f54
-fA21 = f54
-fA1 = f55
-fX3 = f56
-
-// Data tables
-//==============================================================
-
-RODATA
-.align 16
-
-// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
-
-// double-extended 1/ln(2)
-// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
-// 3fff b8aa 3b29 5c17 f0bc
-// For speed the significand will be loaded directly with a movl and setf.sig
-// and the exponent will be bias+63 instead of bias+0. Thus subsequent
-// computations need to scale appropriately.
-// The constant 128/ln(2) is needed for the computation of w. This is also
-// obtained by scaling the computations.
-//
-// Two shifting constants are loaded directly with movl and setf.d.
-// 1. fRSHF_2TO56 = 1.1000..00 * 2^(63-7)
-// This constant is added to x*1/ln2 to shift the integer part of
-// x*128/ln2 into the rightmost bits of the significand.
-// The result of this fma is fW_2TO56_RSH.
-// 2. fRSHF = 1.1000..00 * 2^(63)
-// This constant is subtracted from fW_2TO56_RSH * 2^(-56) to give
-// the integer part of w, n, as a floating-point number.
-// The result of this fms is fNfloat.
-
-
-LOCAL_OBJECT_START(exp_table_1)
-data8 0x408633ce8fb9f87e // smallest dbl overflow arg
-data8 0x408633ce8fb9f87d // largest dbl arg to give normal dbl result
-data8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hi
-data8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo
-//
-// Table 1 is 2^(index_1/128) where
-// index_1 goes from 0 to 15
-//
-data8 0x8000000000000000 , 0x00003FFF
-data8 0x80B1ED4FD999AB6C , 0x00003FFF
-data8 0x8164D1F3BC030773 , 0x00003FFF
-data8 0x8218AF4373FC25EC , 0x00003FFF
-data8 0x82CD8698AC2BA1D7 , 0x00003FFF
-data8 0x8383594EEFB6EE37 , 0x00003FFF
-data8 0x843A28C3ACDE4046 , 0x00003FFF
-data8 0x84F1F656379C1A29 , 0x00003FFF
-data8 0x85AAC367CC487B15 , 0x00003FFF
-data8 0x8664915B923FBA04 , 0x00003FFF
-data8 0x871F61969E8D1010 , 0x00003FFF
-data8 0x87DB357FF698D792 , 0x00003FFF
-data8 0x88980E8092DA8527 , 0x00003FFF
-data8 0x8955EE03618E5FDD , 0x00003FFF
-data8 0x8A14D575496EFD9A , 0x00003FFF
-data8 0x8AD4C6452C728924 , 0x00003FFF
-LOCAL_OBJECT_END(exp_table_1)
-
-// Table 2 is 2^(index_1/8) where
-// index_2 goes from 0 to 7
-LOCAL_OBJECT_START(exp_table_2)
-data8 0x8000000000000000 , 0x00003FFF
-data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
-data8 0x9837F0518DB8A96F , 0x00003FFF
-data8 0xA5FED6A9B15138EA , 0x00003FFF
-data8 0xB504F333F9DE6484 , 0x00003FFF
-data8 0xC5672A115506DADD , 0x00003FFF
-data8 0xD744FCCAD69D6AF4 , 0x00003FFF
-data8 0xEAC0C6E7DD24392F , 0x00003FFF
-LOCAL_OBJECT_END(exp_table_2)
-
-
-LOCAL_OBJECT_START(exp_p_table)
-data8 0x3f8111116da21757 //P5
-data8 0x3fa55555d787761c //P4
-data8 0x3fc5555555555414 //P3
-data8 0x3fdffffffffffd6a //P2
-LOCAL_OBJECT_END(exp_p_table)
-
-LOCAL_OBJECT_START(sinh_p_table)
-data8 0xB08AF9AE78C1239F, 0x00003FDE // A6
-data8 0xB8EF1D28926D8891, 0x00003FEC // A4
-data8 0x8888888888888412, 0x00003FF8 // A2
-data8 0xD732377688025BE9, 0x00003FE5 // A5
-data8 0xD00D00D00D4D39F2, 0x00003FF2 // A3
-data8 0xAAAAAAAAAAAAAAAB, 0x00003FFC // A1
-LOCAL_OBJECT_END(sinh_p_table)
-
-
-.section .text
-GLOBAL_IEEE754_ENTRY(sinh)
-
-{ .mlx
- getf.exp rSignexp_x = f8 // Must recompute if x unorm
- movl rSig_inv_ln2 = 0xb8aa3b295c17f0bc // significand of 1/ln2
-}
-{ .mlx
- addl rAD_TB1 = @ltoff(exp_table_1), gp
- movl rRshf_2to56 = 0x4768000000000000 // 1.10000 2^(63+56)
-}
-;;
-
-{ .mfi
- ld8 rAD_TB1 = [rAD_TB1]
- fclass.m p6,p0 = f8,0x0b // Test for x=unorm
- mov rExp_mask = 0x1ffff
-}
-{ .mfi
- mov rExp_bias = 0xffff
- fnorm.s1 fNormX = f8
- mov rExp_2tom56 = 0xffff-56
-}
-;;
-
-// Form two constants we need
-// 1/ln2 * 2^63 to compute w = x * 1/ln2 * 128
-// 1.1000..000 * 2^(63+63-7) to right shift int(w) into the significand
-
-{ .mfi
- setf.sig fINV_LN2_2TO63 = rSig_inv_ln2 // form 1/ln2 * 2^63
- fclass.m p8,p0 = f8,0x07 // Test for x=0
- nop.i 999
-}
-{ .mlx
- setf.d fRSHF_2TO56 = rRshf_2to56 // Form const 1.100 * 2^(63+56)
- movl rRshf = 0x43e8000000000000 // 1.10000 2^63 for right shift
-}
-;;
-
-{ .mfi
- ldfpd fMIN_DBL_OFLOW_ARG, fMAX_DBL_NORM_ARG = [rAD_TB1],16
- fclass.m p10,p0 = f8,0x1e3 // Test for x=inf, nan, NaT
- nop.i 0
-}
-{ .mfb
- setf.exp f2TOM56 = rExp_2tom56 // form 2^-56 for scaling Nfloat
- nop.f 0
-(p6) br.cond.spnt SINH_UNORM // Branch if x=unorm
-}
-;;
-
-SINH_COMMON:
-{ .mfi
- ldfe fLn2_by_128_hi = [rAD_TB1],16
- nop.f 0
- nop.i 0
-}
-{ .mfb
- setf.d fRSHF = rRshf // Form right shift const 1.100 * 2^63
- nop.f 0
-(p8) br.ret.spnt b0 // Exit for x=0, result=x
-}
-;;
-
-{ .mfi
- ldfe fLn2_by_128_lo = [rAD_TB1],16
- nop.f 0
- nop.i 0
-}
-{ .mfb
- and rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
-(p10) fma.d.s0 f8 = f8,f1,f0 // Result if x=inf, nan, NaT
-(p10) br.ret.spnt b0 // quick exit for x=inf, nan, NaT
-}
-;;
-
-// After that last load rAD_TB1 points to the beginning of table 1
-{ .mfi
- nop.m 0
- fcmp.eq.s0 p6,p0 = f8, f0 // Dummy to set D
- sub rExp_x = rExp_x, rExp_bias // True exponent of x
-}
-;;
-
-{ .mfi
- nop.m 0
- fmerge.s fAbsX = f0, fNormX // Form |x|
- nop.i 0
-}
-{ .mfb
- cmp.gt p7, p0 = -2, rExp_x // Test |x| < 2^(-2)
- fma.s1 fXsq = fNormX, fNormX, f0 // x*x for small path
-(p7) br.cond.spnt SINH_SMALL // Branch if 0 < |x| < 2^-2
-}
-;;
-
-// W = X * Inv_log2_by_128
-// By adding 1.10...0*2^63 we shift and get round_int(W) in significand.
-// We actually add 1.10...0*2^56 to X * Inv_log2 to do the same thing.
-
-{ .mfi
- add rAD_P = 0x180, rAD_TB1
- fma.s1 fW_2TO56_RSH = fNormX, fINV_LN2_2TO63, fRSHF_2TO56
- add rAD_TB2 = 0x100, rAD_TB1
-}
-;;
-
-// Divide arguments into the following categories:
-// Certain Safe - 0.25 <= |x| <= MAX_DBL_NORM_ARG
-// Possible Overflow p14 - MAX_DBL_NORM_ARG < |x| < MIN_DBL_OFLOW_ARG
-// Certain Overflow p15 - MIN_DBL_OFLOW_ARG <= |x| < +inf
-//
-// If the input is really a double arg, then there will never be
-// "Possible Overflow" arguments.
-//
-
-{ .mfi
- ldfpd fP5, fP4 = [rAD_P] ,16
- fcmp.ge.s1 p15,p14 = fAbsX,fMIN_DBL_OFLOW_ARG
- nop.i 0
-}
-;;
-
-// Nfloat = round_int(W)
-// The signficand of fW_2TO56_RSH contains the rounded integer part of W,
-// as a twos complement number in the lower bits (that is, it may be negative).
-// That twos complement number (called N) is put into rN.
-
-// Since fW_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56
-// before the shift constant 1.10000 * 2^63 is subtracted to yield fNfloat.
-// Thus, fNfloat contains the floating point version of N
-
-{ .mfi
- ldfpd fP3, fP2 = [rAD_P]
-(p14) fcmp.gt.unc.s1 p14,p0 = fAbsX,fMAX_DBL_NORM_ARG
- nop.i 0
-}
-{ .mfb
- nop.m 0
- fms.s1 fNfloat = fW_2TO56_RSH, f2TOM56, fRSHF
-(p15) br.cond.spnt SINH_CERTAIN_OVERFLOW
-}
-;;
-
-{ .mfi
- getf.sig rN = fW_2TO56_RSH
- nop.f 0
- mov rExp_bias_minus_1 = 0xfffe
-}
-;;
-
-// rIndex_1 has index_1
-// rIndex_2_16 has index_2 * 16
-// rBiased_M has M
-
-// rM has true M
-// r = x - Nfloat * ln2_by_128_hi
-// f = 1 - Nfloat * ln2_by_128_lo
-{ .mfi
- and rIndex_1 = 0x0f, rN
- fnma.s1 fR = fNfloat, fLn2_by_128_hi, fNormX
- shr rM = rN, 0x7
-}
-{ .mfi
- and rIndex_2_16 = 0x70, rN
- fnma.s1 fF = fNfloat, fLn2_by_128_lo, f1
- sub rN_neg = r0, rN
-}
-;;
-
-{ .mmi
- and rIndex_1_neg = 0x0f, rN_neg
- add rBiased_M = rExp_bias_minus_1, rM
- shr rM_neg = rN_neg, 0x7
-}
-{ .mmi
- and rIndex_2_16_neg = 0x70, rN_neg
- add rAD_T2 = rAD_TB2, rIndex_2_16
- shladd rAD_T1 = rIndex_1, 4, rAD_TB1
-}
-;;
-
-// rAD_T1 has address of T1
-// rAD_T2 has address if T2
-
-{ .mmi
- setf.exp f2M = rBiased_M
- ldfe fT2 = [rAD_T2]
- nop.i 0
-}
-{ .mmi
- add rBiased_M_neg = rExp_bias_minus_1, rM_neg
- add rAD_T2_neg = rAD_TB2, rIndex_2_16_neg
- shladd rAD_T1_neg = rIndex_1_neg, 4, rAD_TB1
-}
-;;
-
-// Create Scale = 2^M
-// Load T1 and T2
-{ .mmi
- ldfe fT1 = [rAD_T1]
- nop.m 0
- nop.i 0
-}
-{ .mmf
- setf.exp f2M_neg = rBiased_M_neg
- ldfe fT2_neg = [rAD_T2_neg]
- fma.s1 fF_neg = fNfloat, fLn2_by_128_lo, f1
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fRsq = fR, fR, f0
- nop.i 0
-}
-{ .mfi
- ldfe fT1_neg = [rAD_T1_neg]
- fma.s1 fP54 = fR, fP5, fP4
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fP32 = fR, fP3, fP2
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fnma.s1 fP54_neg = fR, fP5, fP4
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fnma.s1 fP32_neg = fR, fP3, fP2
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fP5432 = fRsq, fP54, fP32
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fS2 = fF,fT2,f0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fS1 = f2M,fT1,f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fP5432_neg = fRsq, fP54_neg, fP32_neg
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fS1_neg = f2M_neg,fT1_neg,f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fS2_neg = fF_neg,fT2_neg,f0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fP = fRsq, fP5432, fR
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fS = fS1,fS2,f0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fms.s1 fP_neg = fRsq, fP5432_neg, fR
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fS_neg = fS1_neg,fS2_neg,f0
- nop.i 0
-}
-;;
-
-{ .mfb
- nop.m 0
- fmpy.s0 fTmp = fLn2_by_128_lo, fLn2_by_128_lo // Force inexact
-(p14) br.cond.spnt SINH_POSSIBLE_OVERFLOW
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fExp = fS, fP, fS
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fExp_neg = fS_neg, fP_neg, fS_neg
- nop.i 0
-}
-;;
-
-{ .mfb
- nop.m 0
- fms.d.s0 f8 = fExp, f1, fExp_neg
- br.ret.sptk b0 // Normal path exit
-}
-;;
-
-// Here if 0 < |x| < 0.25
-SINH_SMALL:
-{ .mfi
- add rAD_T1 = 0x1a0, rAD_TB1
- fcmp.lt.s1 p7, p8 = fNormX, f0 // Test sign of x
- cmp.gt p6, p0 = -60, rExp_x // Test |x| < 2^(-60)
-}
-{ .mfi
- add rAD_T2 = 0x1d0, rAD_TB1
- nop.f 0
- nop.i 0
-}
-;;
-
-{ .mmb
- ldfe fA6 = [rAD_T1],16
- ldfe fA5 = [rAD_T2],16
-(p6) br.cond.spnt SINH_VERY_SMALL // Branch if |x| < 2^(-60)
-}
-;;
-
-{ .mmi
- ldfe fA4 = [rAD_T1],16
- ldfe fA3 = [rAD_T2],16
- nop.i 0
-}
-;;
-
-{ .mmi
- ldfe fA2 = [rAD_T1]
- ldfe fA1 = [rAD_T2]
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fX3 = fNormX, fXsq, f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fX4 = fXsq, fXsq, f0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fA65 = fXsq, fA6, fA5
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 fA43 = fXsq, fA4, fA3
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fA21 = fXsq, fA2, fA1
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fA6543 = fX4, fA65, fA43
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 fA654321 = fX4, fA6543, fA21
- nop.i 0
-}
-;;
-
-// Dummy multiply to generate inexact
-{ .mfi
- nop.m 0
- fmpy.s0 fTmp = fA6, fA6
- nop.i 0
-}
-{ .mfb
- nop.m 0
- fma.d.s0 f8 = fA654321, fX3, fNormX
- br.ret.sptk b0 // Exit if 2^-60 < |x| < 0.25
-}
-;;
-
-SINH_VERY_SMALL:
-// Here if 0 < |x| < 2^-60
-// Compute result by x + sgn(x)*x^2 to get properly rounded result
-.pred.rel "mutex",p7,p8
-{ .mfi
- nop.m 0
-(p7) fnma.d.s0 f8 = fNormX, fNormX, fNormX // If x<0 result ~ x-x^2
- nop.i 0
-}
-{ .mfb
- nop.m 0
-(p8) fma.d.s0 f8 = fNormX, fNormX, fNormX // If x>0 result ~ x+x^2
- br.ret.sptk b0 // Exit if |x| < 2^-60
-}
-;;
-
-
-SINH_POSSIBLE_OVERFLOW:
-
-// Here if fMAX_DBL_NORM_ARG < |x| < fMIN_DBL_OFLOW_ARG
-// This cannot happen if input is a double, only if input higher precision.
-// Overflow is a possibility, not a certainty.
-
-// Recompute result using status field 2 with user's rounding mode,
-// and wre set. If result is larger than largest double, then we have
-// overflow
-
-{ .mfi
- mov rGt_ln = 0x103ff // Exponent for largest dbl + 1 ulp
- fsetc.s2 0x7F,0x42 // Get user's round mode, set wre
- nop.i 0
-}
-;;
-
-{ .mfi
- setf.exp fGt_pln = rGt_ln // Create largest double + 1 ulp
- fma.d.s2 fWre_urm_f8 = fS, fP, fS // Result with wre set
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fsetc.s2 0x7F,0x40 // Turn off wre in sf2
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fcmp.ge.s1 p6, p0 = fWre_urm_f8, fGt_pln // Test for overflow
- nop.i 0
-}
-;;
-
-{ .mfb
- nop.m 0
- nop.f 0
-(p6) br.cond.spnt SINH_CERTAIN_OVERFLOW // Branch if overflow
-}
-;;
-
-{ .mfb
- nop.m 0
- fma.d.s0 f8 = fS, fP, fS
- br.ret.sptk b0 // Exit if really no overflow
-}
-;;
-
-SINH_CERTAIN_OVERFLOW:
-{ .mfi
- sub rTmp = rExp_mask, r0, 1
- fcmp.lt.s1 p6, p7 = fNormX, f0 // Test for x < 0
- nop.i 0
-}
-;;
-
-{ .mmf
- alloc r32=ar.pfs,1,4,4,0
- setf.exp fTmp = rTmp
- fmerge.s FR_X = f8,f8
-}
-;;
-
-{ .mfi
- mov GR_Parameter_TAG = 127
-(p6) fnma.d.s0 FR_RESULT = fTmp, fTmp, f0 // Set I,O and -INF result
- nop.i 0
-}
-{ .mfb
- nop.m 0
-(p7) fma.d.s0 FR_RESULT = fTmp, fTmp, f0 // Set I,O and +INF result
- br.cond.sptk __libm_error_region
-}
-;;
-
-// Here if x unorm
-SINH_UNORM:
-{ .mfb
- getf.exp rSignexp_x = fNormX // Must recompute if x unorm
- fcmp.eq.s0 p6, p0 = f8, f0 // Set D flag
- br.cond.sptk SINH_COMMON
-}
-;;
-
-GLOBAL_IEEE754_END(sinh)
-
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-.prologue
-{ .mfi
- add GR_Parameter_Y=-32,sp // Parameter 2 value
- nop.f 0
-.save ar.pfs,GR_SAVE_PFS
- mov GR_SAVE_PFS=ar.pfs // Save ar.pfs
-}
-{ .mfi
-.fframe 64
- add sp=-64,sp // Create new stack
- nop.f 0
- mov GR_SAVE_GP=gp // Save gp
-};;
-{ .mmi
- stfd [GR_Parameter_Y] = FR_Y,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
-{ .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
-}
-{ .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
-};;
-{ .mmi
- add GR_Parameter_RESULT = 48,sp
- nop.m 0
- nop.i 0
-};;
-{ .mmi
- ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack
-.restore sp
- add sp = 64,sp // Restore stack pointer
- mov b0 = GR_SAVE_B0 // Restore return address
-};;
-{ .mib
- 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#
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-06 22:35:07 +0000