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0609ec0a74
Continuing the preparation for additional _FloatN / _FloatNx function aliases, this patch makes ia64 libm function implementations use libm_alias_double to define function aliases. The same approach is followed as with the corresponding long double patch: the ia64-specific macros are left unchanged, with calls to libm_alias_double_other being added in most cases and libm_alias_double itself being used in only a few places. Tested with build-many-glibcs.py for ia64-linux-gnu that installed stripped shared libraries are unchanged by the patch. * sysdeps/ia64/fpu/libm-symbols.h: Include <libm-alias-double.h>. * sysdeps/ia64/fpu/e_acos.S (acos): Use libm_alias_double_other. * sysdeps/ia64/fpu/e_acosh.S (acosh): Likewise. * sysdeps/ia64/fpu/e_asin.S (asin): Likewise. * sysdeps/ia64/fpu/e_atan2.S (atan2): Likewise. * sysdeps/ia64/fpu/e_atanh.S (atanh): Likewise. * sysdeps/ia64/fpu/e_cosh.S (cosh): Likewise. * sysdeps/ia64/fpu/e_exp.S (exp): Likewise. * sysdeps/ia64/fpu/e_exp10.S (exp10): Likewise. * sysdeps/ia64/fpu/e_exp2.S (exp2): Likewise. * sysdeps/ia64/fpu/e_fmod.S (fmod): Likewise. * sysdeps/ia64/fpu/e_hypot.S (hypot): Likewise. * sysdeps/ia64/fpu/e_lgamma_r.c (lgamma_r): Define using libm_alias_double_r. * sysdeps/ia64/fpu/e_log.S (log10): Use libm_alias_double_other. (log): Likewise. * sysdeps/ia64/fpu/e_log2.S (log2): Likewise. * sysdeps/ia64/fpu/e_pow.S (pow): Likewise. * sysdeps/ia64/fpu/e_remainder.S (remainder): Likewise. * sysdeps/ia64/fpu/e_sinh.S (sinh): Likewise. * sysdeps/ia64/fpu/e_sqrt.S (sqrt): Likewise. * sysdeps/ia64/fpu/libm_sincos.S (sincos): Likewise. * sysdeps/ia64/fpu/s_asinh.S (asinh): Likewise. * sysdeps/ia64/fpu/s_atan.S (atan): Likewise. * sysdeps/ia64/fpu/s_cbrt.S (cbrt): Likewise. * sysdeps/ia64/fpu/s_ceil.S (ceil): Likewise. * sysdeps/ia64/fpu/s_copysign.S (copysign): Define using libm_alias_double. * sysdeps/ia64/fpu/s_cos.S (sin): Use libm_alias_double_other. (cos): Likewise. * sysdeps/ia64/fpu/s_erf.S (erf): Likewise. * sysdeps/ia64/fpu/s_erfc.S (erfc): Likewise. * sysdeps/ia64/fpu/s_expm1.S (expm1): Likewise. * sysdeps/ia64/fpu/s_fabs.S (fabs): Likewise. * sysdeps/ia64/fpu/s_fdim.S (fdim): Likewise. * sysdeps/ia64/fpu/s_floor.S (floor): Likewise. * sysdeps/ia64/fpu/s_fma.S (fma): Likewise. * sysdeps/ia64/fpu/s_fmax.S (fmax): Likewise. * sysdeps/ia64/fpu/s_frexp.c (frexp): Likewise. * sysdeps/ia64/fpu/s_ldexp.c (ldexp): Likewise. * sysdeps/ia64/fpu/s_log1p.S (log1p): Likewise. * sysdeps/ia64/fpu/s_logb.S (logb): Likewise. * sysdeps/ia64/fpu/s_modf.S (modf): Likewise. * sysdeps/ia64/fpu/s_nearbyint.S (nearbyint): Likewise. * sysdeps/ia64/fpu/s_nextafter.S (nextafter): Likewise. * sysdeps/ia64/fpu/s_rint.S (rint): Likewise. * sysdeps/ia64/fpu/s_round.S (round): Likewise. * sysdeps/ia64/fpu/s_scalbn.c (scalbn): Define using libm_alias_double. * sysdeps/ia64/fpu/s_tan.S (tan): Use libm_alias_double_other. * sysdeps/ia64/fpu/s_tanh.S (tanh): Likewise. * sysdeps/ia64/fpu/s_trunc.S (trunc): Likewise. * sysdeps/ia64/fpu/w_lgamma_main.c [BUILD_LGAMMA && !USE_AS_COMPAT] (lgamma): Likewise. * sysdeps/ia64/fpu/w_tgamma_compat.S (tgamma): Likewise.
879 lines
20 KiB
ArmAsm
879 lines
20 KiB
ArmAsm
.file "tancot.s"
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// Copyright (c) 2000 - 2003, Intel Corporation
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// All rights reserved.
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//
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// Contributed 2000 by the Intel Numerics Group, Intel Corporation
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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//
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// * Redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote
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// products derived from this software without specific prior written
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// permission.
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// Intel Corporation is the author of this code, and requests that all
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// problem reports or change requests be submitted to it directly at
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// http://www.intel.com/software/products/opensource/libraries/num.htm.
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//
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// History
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//==============================================================
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// 02/02/00 Initial version
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// 04/04/00 Unwind support added
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// 12/27/00 Improved speed
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// 02/21/01 Updated to call tanl
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// 05/30/02 Added cot
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// 02/10/03 Reordered header: .section, .global, .proc, .align
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//
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// API
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//==============================================================
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// double tan(double x);
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// double cot(double x);
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//
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// Overview of operation
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//==============================================================
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// If the input value in radians is |x| >= 1.xxxxx 2^10 call the
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// older slower version.
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//
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// The new algorithm is used when |x| <= 1.xxxxx 2^9.
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//
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// Represent the input X as Nfloat * pi/2 + r
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// where r can be negative and |r| <= pi/4
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//
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// tan_W = x * 2/pi
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// Nfloat = round_int(tan_W)
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//
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// tan_r = x - Nfloat * (pi/2)_hi
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// a) tan_r = tan_r - Nfloat * (pi/2)_lo (for tan)
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// b) tan_r = Nfloat * (pi/2)_lo - tan_r (for cot)
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//
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// We have two paths: p8, when Nfloat is even and p9. when Nfloat is odd.
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// a) for tan: p8: tan(X) = tan(r)
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// p9: tan(X) = -cot(r)
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// b) for cot: p9: cot(X) = cot(r)
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// p8: cot(X) = -tan(r)
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//
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// Each is evaluated as a series. The p9 path requires 1/r.
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//
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// The coefficients used in the series are stored in a table as
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// are the pi constants.
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//
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// Registers used
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//==============================================================
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//
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// predicate registers used:
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// p6-12
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//
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// floating-point registers used:
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// f10-15, f32-106
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// f8, input
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//
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// general registers used
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// r14-26, r32-39
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//
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// Assembly macros
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//==============================================================
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TAN_INV_PI_BY_2_2TO64 = f10
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TAN_RSHF_2TO64 = f11
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TAN_2TOM64 = f12
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TAN_RSHF = f13
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TAN_W_2TO64_RSH = f14
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TAN_NFLOAT = f15
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tan_Inv_Pi_by_2 = f32
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tan_Pi_by_2_hi = f33
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tan_Pi_by_2_lo = f34
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tan_P0 = f35
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tan_P1 = f36
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tan_P2 = f37
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tan_P3 = f38
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tan_P4 = f39
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tan_P5 = f40
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tan_P6 = f41
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tan_P7 = f42
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tan_P8 = f43
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tan_P9 = f44
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tan_P10 = f45
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tan_P11 = f46
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tan_P12 = f47
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tan_P13 = f48
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tan_P14 = f49
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tan_P15 = f50
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tan_Q0 = f51
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tan_Q1 = f52
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tan_Q2 = f53
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tan_Q3 = f54
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tan_Q4 = f55
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tan_Q5 = f56
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tan_Q6 = f57
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tan_Q7 = f58
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tan_Q8 = f59
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tan_Q9 = f60
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tan_Q10 = f61
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tan_r = f62
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tan_rsq = f63
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tan_rcube = f64
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tan_v18 = f65
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tan_v16 = f66
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tan_v17 = f67
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tan_v12 = f68
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tan_v13 = f69
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tan_v7 = f70
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tan_v8 = f71
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tan_v4 = f72
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tan_v5 = f73
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tan_v15 = f74
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tan_v11 = f75
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tan_v14 = f76
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tan_v3 = f77
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tan_v6 = f78
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tan_v10 = f79
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tan_v2 = f80
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tan_v9 = f81
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tan_v1 = f82
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tan_int_Nfloat = f83
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tan_Nfloat = f84
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tan_NORM_f8 = f85
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tan_W = f86
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tan_y0 = f87
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tan_d = f88
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tan_y1 = f89
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tan_dsq = f90
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tan_y2 = f91
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tan_d4 = f92
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tan_inv_r = f93
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tan_z1 = f94
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tan_z2 = f95
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tan_z3 = f96
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tan_z4 = f97
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tan_z5 = f98
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tan_z6 = f99
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tan_z7 = f100
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tan_z8 = f101
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tan_z9 = f102
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tan_z10 = f103
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tan_z11 = f104
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tan_z12 = f105
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arg_copy = f106
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/////////////////////////////////////////////////////////////
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tan_GR_sig_inv_pi_by_2 = r14
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tan_GR_rshf_2to64 = r15
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tan_GR_exp_2tom64 = r16
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tan_GR_n = r17
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tan_GR_rshf = r18
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tan_AD = r19
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tan_GR_10009 = r20
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tan_GR_17_ones = r21
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tan_GR_N_odd_even = r22
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tan_GR_N = r23
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tan_signexp = r24
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tan_exp = r25
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tan_ADQ = r26
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GR_SAVE_B0 = r33
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GR_SAVE_PFS = r34
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GR_SAVE_GP = r35
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GR_Parameter_X = r36
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GR_Parameter_Y = r37
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GR_Parameter_RESULT = r38
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GR_Parameter_Tag = r39
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RODATA
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.align 16
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LOCAL_OBJECT_START(double_tan_constants)
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data8 0xC90FDAA22168C234, 0x00003FFF // pi/2 hi
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data8 0xBEEA54580DDEA0E1 // P14
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data8 0x3ED3021ACE749A59 // P15
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data8 0xBEF312BD91DC8DA1 // P12
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data8 0x3EFAE9AFC14C5119 // P13
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data8 0x3F2F342BF411E769 // P8
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data8 0x3F1A60FC9F3B0227 // P9
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data8 0x3EFF246E78E5E45B // P10
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data8 0x3F01D9D2E782875C // P11
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data8 0x3F8226E34C4499B6 // P4
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data8 0x3F6D6D3F12C236AC // P5
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data8 0x3F57DA1146DCFD8B // P6
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data8 0x3F43576410FE3D75 // P7
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data8 0x3FD5555555555555 // P0
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data8 0x3FC11111111111C2 // P1
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data8 0x3FABA1BA1BA0E850 // P2
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data8 0x3F9664F4886725A7 // P3
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LOCAL_OBJECT_END(double_tan_constants)
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LOCAL_OBJECT_START(double_Q_tan_constants)
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data8 0xC4C6628B80DC1CD1, 0x00003FBF // pi/2 lo
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data8 0x3E223A73BA576E48 // Q8
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data8 0x3DF54AD8D1F2CA43 // Q9
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data8 0x3EF66A8EE529A6AA // Q4
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data8 0x3EC2281050410EE6 // Q5
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data8 0x3E8D6BB992CC3CF5 // Q6
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data8 0x3E57F88DE34832E4 // Q7
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data8 0x3FD5555555555555 // Q0
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data8 0x3F96C16C16C16DB8 // Q1
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data8 0x3F61566ABBFFB489 // Q2
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data8 0x3F2BBD77945C1733 // Q3
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data8 0x3D927FB33E2B0E04 // Q10
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LOCAL_OBJECT_END(double_Q_tan_constants)
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.section .text
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////////////////////////////////////////////////////////
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LOCAL_LIBM_ENTRY(cot)
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// The initial fnorm will take any unmasked faults and
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// normalize any single/double unorms
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{ .mlx
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cmp.eq p12, p11 = r0, r0 // set p12=1, p11=0 for cot
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movl tan_GR_sig_inv_pi_by_2 = 0xA2F9836E4E44152A // significand of 2/pi
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}
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{ .mlx
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addl tan_AD = @ltoff(double_tan_constants), gp
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movl tan_GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+63+1)
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}
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;;
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{ .mlx
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mov tan_GR_exp_2tom64 = 0xffff-64 // exponent of scaling factor 2^-64
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movl tan_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
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}
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{ .mfb
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ld8 tan_AD = [tan_AD]
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fnorm.s0 tan_NORM_f8 = f8
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br.cond.sptk COMMON_PATH
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}
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;;
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LOCAL_LIBM_END(cot)
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GLOBAL_IEEE754_ENTRY(tan)
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// The initial fnorm will take any unmasked faults and
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// normalize any single/double unorms
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{ .mlx
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cmp.eq p11, p12 = r0, r0 // set p11=1, p12=0 for tan
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movl tan_GR_sig_inv_pi_by_2 = 0xA2F9836E4E44152A // significand of 2/pi
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}
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{ .mlx
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addl tan_AD = @ltoff(double_tan_constants), gp
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movl tan_GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+63+1)
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}
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;;
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{ .mlx
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mov tan_GR_exp_2tom64 = 0xffff-64 // exponent of scaling factor 2^-64
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movl tan_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
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}
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{ .mfi
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ld8 tan_AD = [tan_AD]
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fnorm.s0 tan_NORM_f8 = f8
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nop.i 0
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}
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;;
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// Common path for both tan and cot
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COMMON_PATH:
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// Form two constants we need
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// 2/pi * 2^1 * 2^63, scaled by 2^64 since we just loaded the significand
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// 1.1000...000 * 2^(63+63+1) to right shift int(W) into the significand
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{ .mmi
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setf.sig TAN_INV_PI_BY_2_2TO64 = tan_GR_sig_inv_pi_by_2
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setf.d TAN_RSHF_2TO64 = tan_GR_rshf_2to64
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mov tan_GR_17_ones = 0x1ffff ;;
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}
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// Form another constant
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// 2^-64 for scaling Nfloat
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// 1.1000...000 * 2^63, the right shift constant
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{ .mmf
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setf.exp TAN_2TOM64 = tan_GR_exp_2tom64
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adds tan_ADQ = double_Q_tan_constants - double_tan_constants, tan_AD
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(p11) fclass.m.unc p6,p0 = f8, 0x07 // Test for x=0 (tan)
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}
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;;
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// Form another constant
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// 2^-64 for scaling Nfloat
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// 1.1000...000 * 2^63, the right shift constant
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{ .mmf
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setf.d TAN_RSHF = tan_GR_rshf
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ldfe tan_Pi_by_2_hi = [tan_AD],16
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fclass.m.unc p7,p0 = f8, 0x23 // Test for x=inf
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}
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;;
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{ .mfb
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ldfe tan_Pi_by_2_lo = [tan_ADQ],16
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fclass.m.unc p8,p0 = f8, 0xc3 // Test for x=nan
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(p6) br.ret.spnt b0 ;; // Exit for x=0 (tan only)
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}
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{ .mfi
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ldfpd tan_P14,tan_P15 = [tan_AD],16
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(p7) frcpa.s0 f8,p9=f0,f0 // Set qnan indef if x=inf
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mov tan_GR_10009 = 0x10009
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}
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{ .mib
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ldfpd tan_Q8,tan_Q9 = [tan_ADQ],16
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nop.i 999
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(p7) br.ret.spnt b0 ;; // Exit for x=inf
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}
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{ .mfi
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ldfpd tan_P12,tan_P13 = [tan_AD],16
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(p12) fclass.m.unc p6,p0 = f8, 0x07 // Test for x=0 (cot)
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nop.i 999
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}
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{ .mfb
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ldfpd tan_Q4,tan_Q5 = [tan_ADQ],16
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(p8) fma.d.s0 f8=f8,f1,f8 // Set qnan if x=nan
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(p8) br.ret.spnt b0 ;; // Exit for x=nan
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}
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{ .mmf
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getf.exp tan_signexp = tan_NORM_f8
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ldfpd tan_P8,tan_P9 = [tan_AD],16
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fmerge.s arg_copy = f8, f8 ;; // Save input for error call
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}
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// Multiply x by scaled 2/pi and add large const to shift integer part of W to
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// rightmost bits of significand
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{ .mmf
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alloc r32=ar.pfs,0,4,4,0
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ldfpd tan_Q6,tan_Q7 = [tan_ADQ],16
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fma.s1 TAN_W_2TO64_RSH = tan_NORM_f8,TAN_INV_PI_BY_2_2TO64,TAN_RSHF_2TO64
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};;
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{ .mmf
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ldfpd tan_P10,tan_P11 = [tan_AD],16
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and tan_exp = tan_GR_17_ones, tan_signexp
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(p6) frcpa.s0 f8, p0 = f1, f8 ;; // cot(+-0) = +-Inf
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}
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// p7 is true if we must call DBX TAN
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// p7 is true if f8 exp is > 0x10009 (which includes all ones
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// NAN or inf)
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{ .mmb
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ldfpd tan_Q0,tan_Q1 = [tan_ADQ],16
|
|
cmp.ge.unc p7,p0 = tan_exp,tan_GR_10009
|
|
(p7) br.cond.spnt TAN_DBX ;;
|
|
}
|
|
|
|
|
|
{ .mmb
|
|
ldfpd tan_P4,tan_P5 = [tan_AD],16
|
|
(p6) mov GR_Parameter_Tag = 226 // (cot)
|
|
(p6) br.cond.spnt __libm_error_region ;; // call error support if cot(+-0)
|
|
}
|
|
|
|
|
|
{ .mmi
|
|
ldfpd tan_Q2,tan_Q3 = [tan_ADQ],16
|
|
nop.m 999
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
// TAN_NFLOAT = Round_Int_Nearest(tan_W)
|
|
{ .mfi
|
|
ldfpd tan_P6,tan_P7 = [tan_AD],16
|
|
fms.s1 TAN_NFLOAT = TAN_W_2TO64_RSH,TAN_2TOM64,TAN_RSHF
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
ldfd tan_Q10 = [tan_ADQ]
|
|
nop.f 999
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
ldfpd tan_P0,tan_P1 = [tan_AD],16
|
|
nop.f 999
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mmi
|
|
getf.sig tan_GR_n = TAN_W_2TO64_RSH
|
|
ldfpd tan_P2,tan_P3 = [tan_AD]
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
// tan_r = -tan_Nfloat * tan_Pi_by_2_hi + x
|
|
{ .mfi
|
|
(p12) add tan_GR_n = 0x1, tan_GR_n // N = N + 1 (for cot)
|
|
fnma.s1 tan_r = TAN_NFLOAT, tan_Pi_by_2_hi, tan_NORM_f8
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
// p8 ==> even
|
|
// p9 ==> odd
|
|
{ .mmi
|
|
and tan_GR_N_odd_even = 0x1, tan_GR_n ;;
|
|
nop.m 999
|
|
cmp.eq.unc p8,p9 = tan_GR_N_odd_even, r0 ;;
|
|
}
|
|
|
|
|
|
.pred.rel "mutex", p11, p12
|
|
// tan_r = tan_r -tan_Nfloat * tan_Pi_by_2_lo (tan)
|
|
{ .mfi
|
|
nop.m 999
|
|
(p11) fnma.s1 tan_r = TAN_NFLOAT, tan_Pi_by_2_lo, tan_r
|
|
nop.i 999
|
|
}
|
|
// tan_r = -(tan_r -tan_Nfloat * tan_Pi_by_2_lo) (cot)
|
|
{ .mfi
|
|
nop.m 999
|
|
(p12) fms.s1 tan_r = TAN_NFLOAT, tan_Pi_by_2_lo, tan_r
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 tan_rsq = tan_r, tan_r, f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) frcpa.s1 tan_y0, p0 = f1,tan_r
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v18 = tan_rsq, tan_P15, tan_P14
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v4 = tan_rsq, tan_P1, tan_P0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v16 = tan_rsq, tan_P13, tan_P12
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v17 = tan_rsq, tan_rsq, f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v12 = tan_rsq, tan_P9, tan_P8
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v13 = tan_rsq, tan_P11, tan_P10
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v7 = tan_rsq, tan_P5, tan_P4
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v8 = tan_rsq, tan_P7, tan_P6
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fnma.s1 tan_d = tan_r, tan_y0, f1
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v5 = tan_rsq, tan_P3, tan_P2
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z11 = tan_rsq, tan_Q9, tan_Q8
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z12 = tan_rsq, tan_rsq, f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v15 = tan_v17, tan_v18, tan_v16
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z7 = tan_rsq, tan_Q5, tan_Q4
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v11 = tan_v17, tan_v13, tan_v12
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z8 = tan_rsq, tan_Q7, tan_Q6
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v14 = tan_v17, tan_v17, f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z3 = tan_rsq, tan_Q1, tan_Q0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v3 = tan_v17, tan_v5, tan_v4
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v6 = tan_v17, tan_v8, tan_v7
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_y1 = tan_y0, tan_d, tan_y0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_dsq = tan_d, tan_d, f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z10 = tan_z12, tan_Q10, tan_z11
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z9 = tan_z12, tan_z12,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z4 = tan_rsq, tan_Q3, tan_Q2
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z6 = tan_z12, tan_z8, tan_z7
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v10 = tan_v14, tan_v15, tan_v11
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_y2 = tan_y1, tan_d, tan_y0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_d4 = tan_dsq, tan_dsq, tan_d
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v2 = tan_v14, tan_v6, tan_v3
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v9 = tan_v14, tan_v14, f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z2 = tan_z12, tan_z4, tan_z3
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z5 = tan_z9, tan_z10, tan_z6
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_inv_r = tan_d4, tan_y2, tan_y0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_rcube = tan_rsq, tan_r, f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 tan_v1 = tan_v9, tan_v10, tan_v2
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 tan_z1 = tan_z9, tan_z5, tan_z2
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.d.s0 f8 = tan_v1, tan_rcube, tan_r
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
(p9) fms.d.s0 f8 = tan_r, tan_z1, tan_inv_r
|
|
br.ret.sptk b0 ;;
|
|
}
|
|
GLOBAL_IEEE754_END(tan)
|
|
libm_alias_double_other (__tan, tan)
|
|
|
|
|
|
LOCAL_LIBM_ENTRY(__libm_callout)
|
|
TAN_DBX:
|
|
.prologue
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fmerge.s f9 = f0,f0
|
|
.save ar.pfs,GR_SAVE_PFS
|
|
mov GR_SAVE_PFS=ar.pfs
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
mov GR_SAVE_GP=gp
|
|
nop.f 0
|
|
.save b0, GR_SAVE_B0
|
|
mov GR_SAVE_B0=b0
|
|
}
|
|
|
|
.body
|
|
{ .mmb
|
|
nop.m 999
|
|
nop.m 999
|
|
(p11) br.cond.sptk.many call_tanl ;;
|
|
}
|
|
|
|
// Here if we should call cotl
|
|
{ .mmb
|
|
nop.m 999
|
|
nop.m 999
|
|
br.call.sptk.many b0=__libm_cotl# ;;
|
|
}
|
|
|
|
{ .mfi
|
|
mov gp = GR_SAVE_GP
|
|
fnorm.d.s0 f8 = f8
|
|
mov b0 = GR_SAVE_B0
|
|
}
|
|
;;
|
|
|
|
{ .mib
|
|
nop.m 999
|
|
mov ar.pfs = GR_SAVE_PFS
|
|
br.ret.sptk b0
|
|
;;
|
|
}
|
|
|
|
// Here if we should call tanl
|
|
call_tanl:
|
|
{ .mmb
|
|
nop.m 999
|
|
nop.m 999
|
|
br.call.sptk.many b0=__libm_tanl# ;;
|
|
}
|
|
|
|
{ .mfi
|
|
mov gp = GR_SAVE_GP
|
|
fnorm.d.s0 f8 = f8
|
|
mov b0 = GR_SAVE_B0
|
|
}
|
|
;;
|
|
|
|
{ .mib
|
|
nop.m 999
|
|
mov ar.pfs = GR_SAVE_PFS
|
|
br.ret.sptk b0
|
|
;;
|
|
}
|
|
|
|
LOCAL_LIBM_END(__libm_callout)
|
|
|
|
.type __libm_tanl#,@function
|
|
.global __libm_tanl#
|
|
.type __libm_cotl#,@function
|
|
.global __libm_cotl#
|
|
|
|
LOCAL_LIBM_ENTRY(__libm_error_region)
|
|
.prologue
|
|
|
|
// (1)
|
|
{ .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
|
|
};;
|
|
|
|
// (2)
|
|
{ .mmi
|
|
stfd [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
|
|
// (3)
|
|
{ .mib
|
|
stfd [GR_Parameter_X] = arg_copy // STORE Parameter 1 on stack
|
|
add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
|
|
nop.b 0
|
|
}
|
|
{ .mib
|
|
stfd [GR_Parameter_Y] = f8 // 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
|
|
nop.m 0
|
|
nop.m 0
|
|
add GR_Parameter_RESULT = 48,sp
|
|
};;
|
|
|
|
// (4)
|
|
{ .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#
|