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Diffstat (limited to 'sysdeps/ia64/fpu/e_sinh.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_sinh.S | 905 |
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diff --git a/sysdeps/ia64/fpu/e_sinh.S b/sysdeps/ia64/fpu/e_sinh.S deleted file mode 100644 index f60907b72b..0000000000 --- a/sysdeps/ia64/fpu/e_sinh.S +++ /dev/null @@ -1,905 +0,0 @@ -.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# |