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Diffstat (limited to 'sysdeps/ia64/fpu/e_coshl.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_coshl.S | 1095 |
1 files changed, 0 insertions, 1095 deletions
diff --git a/sysdeps/ia64/fpu/e_coshl.S b/sysdeps/ia64/fpu/e_coshl.S deleted file mode 100644 index b5872d0b24..0000000000 --- a/sysdeps/ia64/fpu/e_coshl.S +++ /dev/null @@ -1,1095 +0,0 @@ -.file "coshl.s" - - -// Copyright (c) 2000 - 2002, 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. -// 01/23/01 Set inexact flag for large args. -// 05/07/01 Reworked to improve speed of all paths -// 05/20/02 Cleaned up namespace and sf0 syntax -// 12/06/02 Improved performance -// -// API -//============================================================== -// long double = coshl(long double) -// input floating point f8 -// output floating point f8 -// -// Registers used -//============================================================== -// general registers: -// r14 -> r40 -// predicate registers used: -// p6 -> p11 -// floating-point registers used: -// f9 -> f15; f32 -> f90; -// f8 has input, then output -// -// Overview of operation -//============================================================== -// There are seven paths -// 1. 0 < |x| < 0.25 COSH_BY_POLY -// 2. 0.25 <=|x| < 32 COSH_BY_TBL -// 3. 32 <= |x| < 11357.21655 COSH_BY_EXP (merged path with COSH_BY_TBL) -// 4. |x| >= 11357.21655 COSH_HUGE -// 5. x=0 Done with early exit -// 6. x=inf,nan Done with early exit -// 7. x=denormal COSH_DENORM -// -// For double extended we get overflow for x >= 400c b174 ddc0 31ae c0ea -// >= 11357.21655 -// -// -// 1. COSH_BY_POLY 0 < |x| < 0.25 -// =============== -// Evaluate cosh(x) by a 12th order polynomial -// Care is take for the order of multiplication; and P2 is not exactly 1/4!, -// P3 is not exactly 1/6!, etc. -// cosh(x) = 1 + (P1*x^2 + P2*x^4 + P3*x^6 + P4*x^8 + P5*x^10 + P6*x^12) -// -// 2. COSH_BY_TBL 0.25 <= |x| < 32.0 -// ============= -// cosh(x) = cosh(B+R) -// = cosh(B)cosh(R) + sinh(B)sinh(R) -// -// ax = |x| = M*log2/64 + R -// B = M*log2/64 -// M = 64*N + j -// We will calculate M and get N as (M-j)/64 -// The division is a shift. -// exp(B) = exp(N*log2 + j*log2/64) -// = 2^N * 2^(j*log2/64) -// cosh(B) = 1/2(e^B + e^-B) -// = 1/2(2^N * 2^(j*log2/64) + 2^-N * 2^(-j*log2/64)) -// cosh(B) = (2^(N-1) * 2^(j*log2/64) + 2^(-N-1) * 2^(-j*log2/64)) -// sinh(B) = (2^(N-1) * 2^(j*log2/64) - 2^(-N-1) * 2^(-j*log2/64)) -// 2^(j*log2/64) is stored as Tjhi + Tjlo , j= -32,....,32 -// Tjhi is double-extended (80-bit) and Tjlo is single(32-bit) -// -// R = ax - M*log2/64 -// R = ax - M*log2_by_64_hi - M*log2_by_64_lo -// exp(R) = 1 + R +R^2(1/2! + R(1/3! + R(1/4! + ... + R(1/n!)...) -// = 1 + p_odd + p_even -// where the p_even uses the A coefficients and the p_even uses -// the B coefficients -// -// So sinh(R) = 1 + p_odd + p_even -(1 -p_odd -p_even)/2 = p_odd -// cosh(R) = 1 + p_even -// cosh(B) = C_hi + C_lo -// sinh(B) = S_hi -// cosh(x) = cosh(B)cosh(R) + sinh(B)sinh(R) -// -// 3. COSH_BY_EXP 32.0 <= |x| < 11357.21655 ( 400c b174 ddc0 31ae c0ea ) -// ============== -// Can approximate result by exp(x)/2 in this region. -// Y_hi = Tjhi -// Y_lo = Tjhi * (p_odd + p_even) + Tjlo -// cosh(x) = Y_hi + Y_lo -// -// 4. COSH_HUGE |x| >= 11357.21655 ( 400c b174 ddc0 31ae c0ea ) -// ============ -// Set error tag and call error support -// -// -// Assembly macros -//============================================================== -r_ad5 = r14 -r_rshf_2to57 = r15 -r_exp_denorm = r15 -r_ad_mJ_lo = r15 -r_ad_J_lo = r16 -r_2Nm1 = r17 -r_2mNm1 = r18 -r_exp_x = r18 -r_ad_J_hi = r19 -r_ad2o = r19 -r_ad_mJ_hi = r20 -r_mj = r21 -r_ad2e = r22 -r_ad3 = r23 -r_ad1 = r24 -r_Mmj = r24 -r_rshf = r25 -r_M = r25 -r_N = r25 -r_jshf = r26 -r_exp_2tom57 = r26 -r_j = r26 -r_exp_mask = r27 -r_signexp_x = r28 -r_signexp_0_5 = r28 -r_exp_0_25 = r29 -r_sig_inv_ln2 = r30 -r_exp_32 = r30 -r_exp_huge = r30 -r_ad4 = r31 - -GR_SAVE_PFS = r34 -GR_SAVE_B0 = r35 -GR_SAVE_GP = r36 - -GR_Parameter_X = r37 -GR_Parameter_Y = r38 -GR_Parameter_RESULT = r39 -GR_Parameter_TAG = r40 - - -f_ABS_X = f9 -f_X2 = f10 -f_X4 = f11 -f_tmp = f14 -f_RSHF = f15 - -f_Inv_log2by64 = f32 -f_log2by64_lo = f33 -f_log2by64_hi = f34 -f_A1 = f35 - -f_A2 = f36 -f_A3 = f37 -f_Rcub = f38 -f_M_temp = f39 -f_R_temp = f40 - -f_Rsq = f41 -f_R = f42 -f_M = f43 -f_B1 = f44 -f_B2 = f45 - -f_B3 = f46 -f_peven_temp1 = f47 -f_peven_temp2 = f48 -f_peven = f49 -f_podd_temp1 = f50 - -f_podd_temp2 = f51 -f_podd = f52 -f_poly65 = f53 -f_poly6543 = f53 -f_poly6to1 = f53 -f_poly43 = f54 -f_poly21 = f55 - -f_X3 = f56 -f_INV_LN2_2TO63 = f57 -f_RSHF_2TO57 = f58 -f_2TOM57 = f59 -f_smlst_oflow_input = f60 - -f_pre_result = f61 -f_huge = f62 -f_spos = f63 -f_sneg = f64 -f_Tjhi = f65 - -f_Tjlo = f66 -f_Tmjhi = f67 -f_Tmjlo = f68 -f_S_hi = f69 -f_SC_hi_temp = f70 - -f_C_lo_temp1 = f71 -f_C_lo_temp2 = f72 -f_C_lo_temp3 = f73 -f_C_lo_temp4 = f73 -f_C_lo = f74 -f_C_hi = f75 - -f_Y_hi = f77 -f_Y_lo_temp = f78 -f_Y_lo = f79 -f_NORM_X = f80 - -f_P1 = f81 -f_P2 = f82 -f_P3 = f83 -f_P4 = f84 -f_P5 = f85 - -f_P6 = f86 -f_Tjhi_spos = f87 -f_Tjlo_spos = f88 -f_huge = f89 -f_signed_hi_lo = f90 - - -// Data tables -//============================================================== - -// DO NOT CHANGE ORDER OF THESE TABLES -RODATA - -.align 16 -LOCAL_OBJECT_START(cosh_arg_reduction) -// data8 0xB8AA3B295C17F0BC, 0x00004005 // 64/log2 -- signif loaded with setf - data8 0xB17217F7D1000000, 0x00003FF8 // log2/64 high part - data8 0xCF79ABC9E3B39804, 0x00003FD0 // log2/64 low part - data8 0xb174ddc031aec0ea, 0x0000400c // Smallest x to overflow (11357.21655) -LOCAL_OBJECT_END(cosh_arg_reduction) - -LOCAL_OBJECT_START(cosh_p_table) - data8 0x8FA02AC65BCBD5BC, 0x00003FE2 // P6 - data8 0xD00D00D1021D7370, 0x00003FEF // P4 - data8 0xAAAAAAAAAAAAAB80, 0x00003FFA // P2 - data8 0x93F27740C0C2F1CC, 0x00003FE9 // P5 - data8 0xB60B60B60B4FE884, 0x00003FF5 // P3 - data8 0x8000000000000000, 0x00003FFE // P1 -LOCAL_OBJECT_END(cosh_p_table) - -LOCAL_OBJECT_START(cosh_ab_table) - data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC // A1 - data8 0x88888888884ECDD5, 0x00003FF8 // A2 - data8 0xD00D0C6DCC26A86B, 0x00003FF2 // A3 - data8 0x8000000000000002, 0x00003FFE // B1 - data8 0xAAAAAAAAAA402C77, 0x00003FFA // B2 - data8 0xB60B6CC96BDB144D, 0x00003FF5 // B3 -LOCAL_OBJECT_END(cosh_ab_table) - -LOCAL_OBJECT_START(cosh_j_hi_table) - data8 0xB504F333F9DE6484, 0x00003FFE - data8 0xB6FD91E328D17791, 0x00003FFE - data8 0xB8FBAF4762FB9EE9, 0x00003FFE - data8 0xBAFF5AB2133E45FB, 0x00003FFE - data8 0xBD08A39F580C36BF, 0x00003FFE - data8 0xBF1799B67A731083, 0x00003FFE - data8 0xC12C4CCA66709456, 0x00003FFE - data8 0xC346CCDA24976407, 0x00003FFE - data8 0xC5672A115506DADD, 0x00003FFE - data8 0xC78D74C8ABB9B15D, 0x00003FFE - data8 0xC9B9BD866E2F27A3, 0x00003FFE - data8 0xCBEC14FEF2727C5D, 0x00003FFE - data8 0xCE248C151F8480E4, 0x00003FFE - data8 0xD06333DAEF2B2595, 0x00003FFE - data8 0xD2A81D91F12AE45A, 0x00003FFE - data8 0xD4F35AABCFEDFA1F, 0x00003FFE - data8 0xD744FCCAD69D6AF4, 0x00003FFE - data8 0xD99D15C278AFD7B6, 0x00003FFE - data8 0xDBFBB797DAF23755, 0x00003FFE - data8 0xDE60F4825E0E9124, 0x00003FFE - data8 0xE0CCDEEC2A94E111, 0x00003FFE - data8 0xE33F8972BE8A5A51, 0x00003FFE - data8 0xE5B906E77C8348A8, 0x00003FFE - data8 0xE8396A503C4BDC68, 0x00003FFE - data8 0xEAC0C6E7DD24392F, 0x00003FFE - data8 0xED4F301ED9942B84, 0x00003FFE - data8 0xEFE4B99BDCDAF5CB, 0x00003FFE - data8 0xF281773C59FFB13A, 0x00003FFE - data8 0xF5257D152486CC2C, 0x00003FFE - data8 0xF7D0DF730AD13BB9, 0x00003FFE - data8 0xFA83B2DB722A033A, 0x00003FFE - data8 0xFD3E0C0CF486C175, 0x00003FFE - data8 0x8000000000000000, 0x00003FFF // Center of table - data8 0x8164D1F3BC030773, 0x00003FFF - data8 0x82CD8698AC2BA1D7, 0x00003FFF - data8 0x843A28C3ACDE4046, 0x00003FFF - data8 0x85AAC367CC487B15, 0x00003FFF - data8 0x871F61969E8D1010, 0x00003FFF - data8 0x88980E8092DA8527, 0x00003FFF - data8 0x8A14D575496EFD9A, 0x00003FFF - data8 0x8B95C1E3EA8BD6E7, 0x00003FFF - data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF - data8 0x8EA4398B45CD53C0, 0x00003FFF - data8 0x9031DC431466B1DC, 0x00003FFF - data8 0x91C3D373AB11C336, 0x00003FFF - data8 0x935A2B2F13E6E92C, 0x00003FFF - data8 0x94F4EFA8FEF70961, 0x00003FFF - data8 0x96942D3720185A00, 0x00003FFF - data8 0x9837F0518DB8A96F, 0x00003FFF - data8 0x99E0459320B7FA65, 0x00003FFF - data8 0x9B8D39B9D54E5539, 0x00003FFF - data8 0x9D3ED9A72CFFB751, 0x00003FFF - data8 0x9EF5326091A111AE, 0x00003FFF - data8 0xA0B0510FB9714FC2, 0x00003FFF - data8 0xA27043030C496819, 0x00003FFF - data8 0xA43515AE09E6809E, 0x00003FFF - data8 0xA5FED6A9B15138EA, 0x00003FFF - data8 0xA7CD93B4E965356A, 0x00003FFF - data8 0xA9A15AB4EA7C0EF8, 0x00003FFF - data8 0xAB7A39B5A93ED337, 0x00003FFF - data8 0xAD583EEA42A14AC6, 0x00003FFF - data8 0xAF3B78AD690A4375, 0x00003FFF - data8 0xB123F581D2AC2590, 0x00003FFF - data8 0xB311C412A9112489, 0x00003FFF - data8 0xB504F333F9DE6484, 0x00003FFF -LOCAL_OBJECT_END(cosh_j_hi_table) - -LOCAL_OBJECT_START(cosh_j_lo_table) - data4 0x1EB2FB13 - data4 0x1CE2CBE2 - data4 0x1DDC3CBC - data4 0x1EE9AA34 - data4 0x9EAEFDC1 - data4 0x9DBF517B - data4 0x1EF88AFB - data4 0x1E03B216 - data4 0x1E78AB43 - data4 0x9E7B1747 - data4 0x9EFE3C0E - data4 0x9D36F837 - data4 0x9DEE53E4 - data4 0x9E24AE8E - data4 0x1D912473 - data4 0x1EB243BE - data4 0x1E669A2F - data4 0x9BBC610A - data4 0x1E761035 - data4 0x9E0BE175 - data4 0x1CCB12A1 - data4 0x1D1BFE90 - data4 0x1DF2F47A - data4 0x1EF22F22 - data4 0x9E3F4A29 - data4 0x1EC01A5B - data4 0x1E8CAC3A - data4 0x9DBB3FAB - data4 0x1EF73A19 - data4 0x9BB795B5 - data4 0x1EF84B76 - data4 0x9EF5818B - data4 0x00000000 // Center of table - data4 0x1F77CACA - data4 0x1EF8A91D - data4 0x1E57C976 - data4 0x9EE8DA92 - data4 0x1EE85C9F - data4 0x1F3BF1AF - data4 0x1D80CA1E - data4 0x9D0373AF - data4 0x9F167097 - data4 0x1EB70051 - data4 0x1F6EB029 - data4 0x1DFD6D8E - data4 0x9EB319B0 - data4 0x1EBA2BEB - data4 0x1F11D537 - data4 0x1F0D5A46 - data4 0x9E5E7BCA - data4 0x9F3AAFD1 - data4 0x9E86DACC - data4 0x9F3EDDC2 - data4 0x1E496E3D - data4 0x9F490BF6 - data4 0x1DD1DB48 - data4 0x1E65EBFB - data4 0x9F427496 - data4 0x1F283C4A - data4 0x1F4B0047 - data4 0x1F130152 - data4 0x9E8367C0 - data4 0x9F705F90 - data4 0x1EFB3C53 - data4 0x1F32FB13 -LOCAL_OBJECT_END(cosh_j_lo_table) - - -.section .text -GLOBAL_IEEE754_ENTRY(coshl) - -{ .mlx - getf.exp r_signexp_x = f8 // Get signexp of x, must redo if unorm - movl r_sig_inv_ln2 = 0xb8aa3b295c17f0bc // significand of 1/ln2 -} -{ .mlx - addl r_ad1 = @ltoff(cosh_arg_reduction), gp - movl r_rshf_2to57 = 0x4778000000000000 // 1.10000 2^(63+57) -} -;; - -{ .mfi - ld8 r_ad1 = [r_ad1] - fmerge.s f_ABS_X = f0,f8 - mov r_exp_0_25 = 0x0fffd // Form exponent for 0.25 -} -{ .mfi - nop.m 0 - fnorm.s1 f_NORM_X = f8 - mov r_exp_2tom57 = 0xffff-57 -} -;; - -{ .mfi - setf.d f_RSHF_2TO57 = r_rshf_2to57 // Form const 1.100 * 2^120 - fclass.m p10,p0 = f8, 0x0b // Test for denorm - mov r_exp_mask = 0x1ffff -} -{ .mlx - setf.sig f_INV_LN2_2TO63 = r_sig_inv_ln2 // Form 1/ln2 * 2^63 - movl r_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift -} -;; - -{ .mfi - nop.m 0 - fclass.m p7,p0 = f8, 0x07 // Test if x=0 - nop.i 0 -} -{ .mfi - setf.exp f_2TOM57 = r_exp_2tom57 // Form 2^-57 for scaling - nop.f 0 - add r_ad3 = 0x90, r_ad1 // Point to ab_table -} -;; - -{ .mfi - setf.d f_RSHF = r_rshf // Form right shift const 1.100 * 2^63 - fclass.m p6,p0 = f8, 0xe3 // Test if x nan, inf - add r_ad4 = 0x2f0, r_ad1 // Point to j_hi_table midpoint -} -{ .mib - add r_ad2e = 0x20, r_ad1 // Point to p_table - nop.i 0 -(p10) br.cond.spnt COSH_DENORM // Branch if x denorm -} -;; - -// Common path -- return here from COSH_DENORM if x is unnorm -COSH_COMMON: -{ .mfi - ldfe f_smlst_oflow_input = [r_ad2e],16 -(p7) fma.s0 f8 = f1, f1, f0 // Result = 1.0 if x=0 - add r_ad5 = 0x580, r_ad1 // Point to j_lo_table midpoint -} -{ .mib - ldfe f_log2by64_hi = [r_ad1],16 - and r_exp_x = r_exp_mask, r_signexp_x -(p7) br.ret.spnt b0 // Exit if x=0 -} -;; - -// Get the A coefficients for COSH_BY_TBL -{ .mfi - ldfe f_A1 = [r_ad3],16 - fcmp.lt.s1 p8,p9 = f8,f0 // Test for x<0 - cmp.lt p7,p0 = r_exp_x, r_exp_0_25 // Test x < 0.25 -} -{ .mfb - add r_ad2o = 0x30, r_ad2e // Point to p_table odd coeffs -(p6) fma.s0 f8 = f8,f8,f0 // Result for x nan, inf -(p6) br.ret.spnt b0 // Exit for x nan, inf -} -;; - -// Calculate X2 = ax*ax for COSH_BY_POLY -{ .mfi - ldfe f_log2by64_lo = [r_ad1],16 - nop.f 0 - nop.i 0 -} -{ .mfb - ldfe f_A2 = [r_ad3],16 - fma.s1 f_X2 = f_NORM_X, f_NORM_X, f0 -(p7) br.cond.spnt COSH_BY_POLY -} -;; - -// Here if |x| >= 0.25 -COSH_BY_TBL: -// ****************************************************** -// STEP 1 (TBL and EXP) - Argument reduction -// ****************************************************** -// Get the following constants. -// Inv_log2by64 -// log2by64_hi -// log2by64_lo - - -// We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and -// put them in an exponent. -// f_spos = 2^(N-1) and f_sneg = 2^(-N-1) -// 0xffff + (N-1) = 0xffff +N -1 -// 0xffff - (N +1) = 0xffff -N -1 - - -// Calculate M and keep it as integer and floating point. -// M = round-to-integer(x*Inv_log2by64) -// f_M = M = truncate(ax/(log2/64)) -// Put the integer representation of M in r_M -// and the floating point representation of M in f_M - -// Get the remaining A,B coefficients -{ .mmi - ldfe f_A3 = [r_ad3],16 - nop.m 0 - nop.i 0 -} -;; - -// Use constant (1.100*2^(63-6)) to get rounded M into rightmost significand -// |x| * 64 * 1/ln2 * 2^(63-6) + 1.1000 * 2^(63+(63-6)) -{ .mfi - nop.m 0 - fma.s1 f_M_temp = f_ABS_X, f_INV_LN2_2TO63, f_RSHF_2TO57 - mov r_signexp_0_5 = 0x0fffe // signexp of +0.5 -} -;; - -// Test for |x| >= overflow limit -{ .mfi - ldfe f_B1 = [r_ad3],16 - fcmp.ge.s1 p6,p0 = f_ABS_X, f_smlst_oflow_input - nop.i 0 -} -;; - -{ .mfi - ldfe f_B2 = [r_ad3],16 - nop.f 0 - mov r_exp_32 = 0x10004 -} -;; - -// Subtract RSHF constant to get rounded M as a floating point value -// M_temp * 2^(63-6) - 2^63 -{ .mfb - ldfe f_B3 = [r_ad3],16 - fms.s1 f_M = f_M_temp, f_2TOM57, f_RSHF -(p6) br.cond.spnt COSH_HUGE // Branch if result will overflow -} -;; - -{ .mfi - getf.sig r_M = f_M_temp - nop.f 0 - cmp.ge p7,p6 = r_exp_x, r_exp_32 // Test if x >= 32 -} -;; - -// Calculate j. j is the signed extension of the six lsb of M. It -// has a range of -32 thru 31. - -// Calculate R -// ax - M*log2by64_hi -// R = (ax - M*log2by64_hi) - M*log2by64_lo - -{ .mfi - nop.m 0 - fnma.s1 f_R_temp = f_M, f_log2by64_hi, f_ABS_X - and r_j = 0x3f, r_M -} -;; - -{ .mii - nop.m 0 - shl r_jshf = r_j, 0x2 // Shift j so can sign extend it -;; - sxt1 r_jshf = r_jshf -} -;; - -{ .mii - nop.m 0 - shr r_j = r_jshf, 0x2 // Now j has range -32 to 31 - nop.i 0 -} -;; - -{ .mmi - shladd r_ad_J_hi = r_j, 4, r_ad4 // pointer to Tjhi - sub r_Mmj = r_M, r_j // M-j - sub r_mj = r0, r_j // Form -j -} -;; - -// The TBL and EXP branches are merged and predicated -// If TBL, p6 true, 0.25 <= |x| < 32 -// If EXP, p7 true, 32 <= |x| < overflow_limit -// -// N = (M-j)/64 -{ .mfi - ldfe f_Tjhi = [r_ad_J_hi] - fnma.s1 f_R = f_M, f_log2by64_lo, f_R_temp - shr r_N = r_Mmj, 0x6 // N = (M-j)/64 -} -{ .mfi - shladd r_ad_mJ_hi = r_mj, 4, r_ad4 // pointer to Tmjhi - nop.f 0 - shladd r_ad_mJ_lo = r_mj, 2, r_ad5 // pointer to Tmjlo -} -;; - -{ .mfi - sub r_2mNm1 = r_signexp_0_5, r_N // signexp 2^(-N-1) - nop.f 0 - shladd r_ad_J_lo = r_j, 2, r_ad5 // pointer to Tjlo -} -{ .mfi - ldfe f_Tmjhi = [r_ad_mJ_hi] - nop.f 0 - add r_2Nm1 = r_signexp_0_5, r_N // signexp 2^(N-1) -} -;; - -{ .mmf - ldfs f_Tmjlo = [r_ad_mJ_lo] - setf.exp f_sneg = r_2mNm1 // Form 2^(-N-1) - nop.f 0 -} -;; - -{ .mmf - ldfs f_Tjlo = [r_ad_J_lo] - setf.exp f_spos = r_2Nm1 // Form 2^(N-1) - nop.f 0 -} -;; - -// ****************************************************** -// STEP 2 (TBL and EXP) -// ****************************************************** -// Calculate Rsquared and Rcubed in preparation for p_even and p_odd - -{ .mmf - nop.m 0 - nop.m 0 - fma.s1 f_Rsq = f_R, f_R, f0 -} -;; - - -// Calculate p_even -// B_2 + Rsq *B_3 -// B_1 + Rsq * (B_2 + Rsq *B_3) -// p_even = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3)) -{ .mfi - nop.m 0 - fma.s1 f_peven_temp1 = f_Rsq, f_B3, f_B2 - nop.i 0 -} -// Calculate p_odd -// A_2 + Rsq *A_3 -// A_1 + Rsq * (A_2 + Rsq *A_3) -// podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3)) -{ .mfi - nop.m 0 - fma.s1 f_podd_temp1 = f_Rsq, f_A3, f_A2 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s1 f_Rcub = f_Rsq, f_R, f0 - nop.i 0 -} -;; - -// -// If TBL, -// Calculate S_hi and S_lo, and C_hi -// SC_hi_temp = sneg * Tmjhi -// S_hi = spos * Tjhi - SC_hi_temp -// S_hi = spos * Tjhi - (sneg * Tmjhi) -// C_hi = spos * Tjhi + SC_hi_temp -// C_hi = spos * Tjhi + (sneg * Tmjhi) - -{ .mfi - nop.m 0 -(p6) fma.s1 f_SC_hi_temp = f_sneg, f_Tmjhi, f0 - nop.i 0 -} -;; - -// If TBL, -// C_lo_temp3 = sneg * Tmjlo -// C_lo_temp4 = spos * Tjlo + C_lo_temp3 -// C_lo_temp4 = spos * Tjlo + (sneg * Tmjlo) -{ .mfi - nop.m 0 -(p6) fma.s1 f_C_lo_temp3 = f_sneg, f_Tmjlo, f0 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s1 f_peven_temp2 = f_Rsq, f_peven_temp1, f_B1 - nop.i 0 -} -{ .mfi - nop.m 0 - fma.s1 f_podd_temp2 = f_Rsq, f_podd_temp1, f_A1 - nop.i 0 -} -;; - -// If EXP, -// Compute 2^(N-1) * Tjhi and 2^(N-1) * Tjlo -{ .mfi - nop.m 0 -(p7) fma.s1 f_Tjhi_spos = f_Tjhi, f_spos, f0 - nop.i 0 -} -{ .mfi - nop.m 0 -(p7) fma.s1 f_Tjlo_spos = f_Tjlo, f_spos, f0 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 -(p6) fma.s1 f_C_hi = f_spos, f_Tjhi, f_SC_hi_temp - nop.i 0 -} -;; - -{ .mfi - nop.m 0 -(p6) fms.s1 f_S_hi = f_spos, f_Tjhi, f_SC_hi_temp - nop.i 0 -} -{ .mfi - nop.m 0 -(p6) fma.s1 f_C_lo_temp4 = f_spos, f_Tjlo, f_C_lo_temp3 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s1 f_peven = f_Rsq, f_peven_temp2, f0 - nop.i 0 -} -{ .mfi - nop.m 0 - fma.s1 f_podd = f_podd_temp2, f_Rcub, f_R - nop.i 0 -} -;; - -// If TBL, -// C_lo_temp1 = spos * Tjhi - C_hi -// C_lo_temp2 = sneg * Tmjlo + C_lo_temp1 -// C_lo_temp2 = sneg * Tmjlo + (spos * Tjhi - C_hi) - -{ .mfi - nop.m 0 -(p6) fms.s1 f_C_lo_temp1 = f_spos, f_Tjhi, f_C_hi - nop.i 0 -} -;; - -{ .mfi - nop.m 0 -(p6) fma.s1 f_C_lo_temp2 = f_sneg, f_Tmjhi, f_C_lo_temp1 - nop.i 0 -} -;; - -// If EXP, -// Y_hi = 2^(N-1) * Tjhi -// Y_lo = 2^(N-1) * Tjhi * (p_odd + p_even) + 2^(N-1) * Tjlo -{ .mfi - nop.m 0 -(p7) fma.s1 f_Y_lo_temp = f_peven, f1, f_podd - nop.i 0 -} -;; - -// If TBL, -// C_lo = C_lo_temp4 + C_lo_temp2 -{ .mfi - nop.m 0 -(p6) fma.s1 f_C_lo = f_C_lo_temp4, f1, f_C_lo_temp2 - nop.i 0 -} -;; - -// If TBL, -// Y_hi = C_hi -// Y_lo = S_hi*p_odd + (C_hi*p_even + C_lo) -{ .mfi - nop.m 0 -(p6) fma.s1 f_Y_lo_temp = f_C_hi, f_peven, f_C_lo - nop.i 0 -} -;; - -{ .mfi - nop.m 0 -(p7) fma.s1 f_Y_lo = f_Tjhi_spos, f_Y_lo_temp, f_Tjlo_spos - nop.i 0 -} -;; - -// Dummy multiply to generate inexact -{ .mfi - nop.m 0 - fmpy.s0 f_tmp = f_B2, f_B2 - nop.i 0 -} -{ .mfi - nop.m 0 -(p6) fma.s1 f_Y_lo = f_S_hi, f_podd, f_Y_lo_temp - nop.i 0 -} -;; - -// f8 = answer = Y_hi + Y_lo -{ .mfi - nop.m 0 -(p7) fma.s0 f8 = f_Y_lo, f1, f_Tjhi_spos - nop.i 0 -} -;; - -// f8 = answer = Y_hi + Y_lo -{ .mfb - nop.m 0 -(p6) fma.s0 f8 = f_Y_lo, f1, f_C_hi - br.ret.sptk b0 // Exit for COSH_BY_TBL and COSH_BY_EXP -} -;; - - -// Here if 0 < |x| < 0.25 -COSH_BY_POLY: -{ .mmf - ldfe f_P6 = [r_ad2e],16 - ldfe f_P5 = [r_ad2o],16 - nop.f 0 -} -;; - -{ .mmi - ldfe f_P4 = [r_ad2e],16 - ldfe f_P3 = [r_ad2o],16 - nop.i 0 -} -;; - -{ .mmi - ldfe f_P2 = [r_ad2e],16 - ldfe f_P1 = [r_ad2o],16 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s1 f_X3 = f_NORM_X, f_X2, f0 - nop.i 0 -} -{ .mfi - nop.m 0 - fma.s1 f_X4 = f_X2, f_X2, f0 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s1 f_poly65 = f_X2, f_P6, f_P5 - nop.i 0 -} -{ .mfi - nop.m 0 - fma.s1 f_poly43 = f_X2, f_P4, f_P3 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s1 f_poly21 = f_X2, f_P2, f_P1 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s1 f_poly6543 = f_X4, f_poly65, f_poly43 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s1 f_poly6to1 = f_X4, f_poly6543, f_poly21 - nop.i 0 -} -;; - -// Dummy multiply to generate inexact -{ .mfi - nop.m 0 - fmpy.s0 f_tmp = f_P6, f_P6 - nop.i 0 -} -{ .mfb - nop.m 0 - fma.s0 f8 = f_poly6to1, f_X2, f1 - br.ret.sptk b0 // Exit COSH_BY_POLY -} -;; - - -// Here if x denorm or unorm -COSH_DENORM: -// Determine if x really a denorm and not a unorm -{ .mmf - getf.exp r_signexp_x = f_NORM_X - mov r_exp_denorm = 0x0c001 // Real denorms have exp < this - fmerge.s f_ABS_X = f0, f_NORM_X -} -;; - -{ .mfi - nop.m 0 - fcmp.eq.s0 p10,p0 = f8, f0 // Set denorm flag - nop.i 0 -} -;; - -// Set p8 if really a denorm -{ .mmi - and r_exp_x = r_exp_mask, r_signexp_x -;; - cmp.lt p8,p9 = r_exp_x, r_exp_denorm - nop.i 0 -} -;; - -// Identify denormal operands. -{ .mfb - nop.m 0 -(p8) fma.s0 f8 = f8,f8,f1 // If x denorm, result=1+x^2 -(p9) br.cond.sptk COSH_COMMON // Return to main path if x unorm -} -;; - -{ .mfb - nop.m 0 - nop.f 0 - br.ret.sptk b0 // Exit if x denorm -} -;; - - -// Here if |x| >= overflow limit -COSH_HUGE: -// for COSH_HUGE, put 24000 in exponent; take sign from input -{ .mmi - mov r_exp_huge = 0x15dbf -;; - setf.exp f_huge = r_exp_huge - nop.i 0 -} -;; - -{ .mfi - alloc r32 = ar.pfs,0,5,4,0 - fma.s1 f_signed_hi_lo = f_huge, f1, f1 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fma.s0 f_pre_result = f_signed_hi_lo, f_huge, f0 - mov GR_Parameter_TAG = 63 -} -;; - -GLOBAL_IEEE754_END(coshl) - - -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 - stfe [GR_Parameter_Y] = f0,16 // 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 - stfe [GR_Parameter_X] = f8 // STORE Parameter 1 on stack - add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address - nop.b 0 -} -{ .mib - stfe [GR_Parameter_Y] = f_pre_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 - ldfe 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# |