mirror of
git://sourceware.org/git/glibc.git
synced 2024-11-21 01:12:26 +08:00
aeb25823d8
2002-06-05 Brian Youmans <3diff@gnu.org> * sysdeps/ia64/fpu/e_acos.S: Added text of Intel license. * sysdeps/ia64/fpu/e_acosf.S: Likewise. * sysdeps/ia64/fpu/e_acosl.S: Likewise. * sysdeps/ia64/fpu/e_asin.S: Likewise. * sysdeps/ia64/fpu/e_asinf.S: Likewise. * sysdeps/ia64/fpu/e_asinl.S: Likewise. * sysdeps/ia64/fpu/e_atan2.S: Likewise. * sysdeps/ia64/fpu/e_atan2f.S: Likewise. * sysdeps/ia64/fpu/e_cosh.S: Likewise. * sysdeps/ia64/fpu/e_coshf.S: Likewise. * sysdeps/ia64/fpu/e_coshl.S: Likewise. * sysdeps/ia64/fpu/e_exp.S: Likewise. * sysdeps/ia64/fpu/e_expf.S: Likewise. * sysdeps/ia64/fpu/e_fmod.S: Likewise. * sysdeps/ia64/fpu/e_fmodf.S: Likewise. * sysdeps/ia64/fpu/e_fmodl.S: Likewise. * sysdeps/ia64/fpu/e_hypot.S: Likewise. * sysdeps/ia64/fpu/e_hypotf.S: Likewise. * sysdeps/ia64/fpu/e_hypotl.S: Likewise. * sysdeps/ia64/fpu/e_log.S: Likewise. * sysdeps/ia64/fpu/e_logf.S: Likewise. * sysdeps/ia64/fpu/e_pow.S: Likewise. * sysdeps/ia64/fpu/e_powf.S: Likewise. * sysdeps/ia64/fpu/e_powl.S: Likewise. * sysdeps/ia64/fpu/e_remainder.S: Likewise. * sysdeps/ia64/fpu/e_remainderf.S: Likewise. * sysdeps/ia64/fpu/e_remainderl.S: Likewise. * sysdeps/ia64/fpu/e_scalb.S: Likewise. * sysdeps/ia64/fpu/e_scalbf.S: Likewise. * sysdeps/ia64/fpu/e_scalbl.S: Likewise. * sysdeps/ia64/fpu/e_sinh.S: Likewise. * sysdeps/ia64/fpu/e_sinhf.S: Likewise. * sysdeps/ia64/fpu/e_sinhl.S: Likewise. * sysdeps/ia64/fpu/e_sqrt.S: Likewise. * sysdeps/ia64/fpu/e_sqrtf.S: Likewise. * sysdeps/ia64/fpu/e_sqrtl.S: Likewise. * sysdeps/ia64/fpu/libm_atan2_req.S: Likewise. * sysdeps/ia64/fpu/libm_error.c: Likewise. * sysdeps/ia64/fpu/libm_frexp4.S: Likewise. * sysdeps/ia64/fpu/libm_frexp4f.S: Likewise. * sysdeps/ia64/fpu/s_frexpl.c: Likewise. * sysdeps/ia64/fpu/s_ilogb.S: Likewise. * sysdeps/ia64/fpu/s_ilogbf.S: Likewise. * sysdeps/ia64/fpu/s_ilogbl.S: Likewise. * sysdeps/ia64/fpu/s_ldexp.S: Likewise. * sysdeps/ia64/fpu/s_ldexpf.S: Likewise. * sysdeps/ia64/fpu/s_ldexpl.S: Likewise. * sysdeps/ia64/fpu/s_log1p.S: Likewise. * sysdeps/ia64/fpu/s_log1pf.S: Likewise. * sysdeps/ia64/fpu/s_log1pl.S: Likewise. * sysdeps/ia64/fpu/s_logb.S: Likewise. * sysdeps/ia64/fpu/s_logbf.S: Likewise. * sysdeps/ia64/fpu/s_logbl.S: Likewise. * sysdeps/ia64/fpu/s_modf.S: Likewise. * sysdeps/ia64/fpu/s_modff.S: Likewise. * sysdeps/ia64/fpu/s_modfl.S: Likewise. * sysdeps/ia64/fpu/s_nearbyint.S: Likewise. * sysdeps/ia64/fpu/s_nearbyintf.S: Likewise. * sysdeps/ia64/fpu/s_nearbyintl.S: Likewise. * sysdeps/ia64/fpu/s_rint.S: Likewise. * sysdeps/ia64/fpu/s_rintf.S: Likewise. * sysdeps/ia64/fpu/s_rintl.S: Likewise. * sysdeps/ia64/fpu/s_round.S: Likewise. * sysdeps/ia64/fpu/s_roundf.S: Likewise. * sysdeps/ia64/fpu/s_roundl.S: Likewise. * sysdeps/ia64/fpu/s_scalbn.S: Likewise. * sysdeps/ia64/fpu/s_scalbnf.S: Likewise. * sysdeps/ia64/fpu/s_scalbnl.S: Likewise. * sysdeps/ia64/fpu/s_significand.S: Likewise. * sysdeps/ia64/fpu/s_significandf.S: Likewise. * sysdeps/ia64/fpu/s_significandl.S: Likewise. * sysdeps/ia64/fpu/s_tan.S: Likewise. * sysdeps/ia64/fpu/s_tanf.S: Likewise. * sysdeps/ia64/fpu/s_tanl.S: Likewise. * sysdeps/ia64/fpu/s_trunc.S: Likewise. * sysdeps/ia64/fpu/s_truncf.S: Likewise. * sysdeps/ia64/fpu/s_truncl.S: Likewise. * sysdeps/ieee754/dbl-64/doasin.c: Changed copyright notice to reflect IBM donation of math library to FSF * sysdeps/ieee754/dbl-64/dosincos.c: Likewise. * sysdeps/ieee754/dbl-64/e_asin.c: Likewise. * sysdeps/ieee754/dbl-64/e_atan2.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp.c: Likewise. * sysdeps/ieee754/dbl-64/e_log.c: Likewise. * sysdeps/ieee754/dbl-64/e_pow.c: Likewise. * sysdeps/ieee754/dbl-64/e_remainder.c: Likewise. * sysdeps/ieee754/dbl-64/e_sqrt.c: Likewise. * sysdeps/ieee754/dbl-64/halfulp.c: Likewise. * sysdeps/ieee754/dbl-64/mpa.c: Likewise. * sysdeps/ieee754/dbl-64/mpatan.c: Likewise. * sysdeps/ieee754/dbl-64/mpatan2.c: Likewise. * sysdeps/ieee754/dbl-64/mpexp.c: Likewise. * sysdeps/ieee754/dbl-64/mplog.c: Likewise. * sysdeps/ieee754/dbl-64/mpsqrt.c: Likewise. * sysdeps/ieee754/dbl-64/mptan.c: Likewise. * sysdeps/ieee754/dbl-64/s_atan.c: Likewise. * sysdeps/ieee754/dbl-64/s_sin.c: Likewise. * sysdeps/ieee754/dbl-64/s_tan.c: Likewise. * sysdeps/ieee754/dbl-64/sincos32.c: Likewise. * sysdeps/ieee754/dbl-64/slowexp.c: Likewise. * sysdeps/ieee754/dbl-64/slowpow.c: Likewise. * sysdeps/gnu/netinet/udp.h: Added BSD copying permission notice * sysdeps/vax/__longjmp.c: Likewise. * sysdeps/vax/setjmp.c: Likewise. * libio/filedoalloc.c: Fixed BSD copying permission notice to remove advertising clause * sysdeps/vax/htonl.s: Likewise. * sysdeps/vax/htons.s: Likewise. * libio/wfiledoalloc.c: Likewise. * stdlib/random.c: Likewise. * stdlib/random_r.c: Likewise. * sysdeps/mach/sys/reboot.h: Likewise. * inet/getnameinfo.c: Deleted advertising clause from Inner Net License * sysdeps/posix/getaddrinfo.c: Likewise. * sunrpc/des_impl.c: Updated license permission notice to Lesser GPL and corrected pointer to point to the correct license.
771 lines
18 KiB
ArmAsm
771 lines
18 KiB
ArmAsm
.file "tan.s"
|
|
|
|
// Copyright (C) 2000, 2001, Intel Corporation
|
|
// All rights reserved.
|
|
//
|
|
// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
|
|
// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
|
|
//
|
|
// Redistribution and use in source and binary forms, with or without
|
|
// modification, are permitted provided that the following conditions are
|
|
// 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://developer.intel.com/opensource.
|
|
//
|
|
// History
|
|
//==============================================================
|
|
// 2/02/00: Initial version
|
|
// 4/04/00 Unwind support added
|
|
// 12/27/00 Improved speed
|
|
//
|
|
// API
|
|
//==============================================================
|
|
// double tan( double x);
|
|
//
|
|
// Overview of operation
|
|
//==============================================================
|
|
// If the input value in radians is |x| >= 1.xxxxx 2^10 call the
|
|
// older slower version.
|
|
//
|
|
// The new algorithm is used when |x| <= 1.xxxxx 2^9.
|
|
//
|
|
// Represent the input X as Nfloat * pi/2 + r
|
|
// where r can be negative and |r| <= pi/4
|
|
//
|
|
// tan_W = x * 2/pi
|
|
// Nfloat = round_int(tan_W)
|
|
//
|
|
// tan_r = x - Nfloat * (pi/2)_hi
|
|
// tan_r = tan_r - Nfloat * (pi/2)_lo
|
|
//
|
|
// We have two paths: p8, when Nfloat is even and p9. when Nfloat is odd.
|
|
// p8: tan(X) = tan(r)
|
|
// p9: tan(X) = -cot(r)
|
|
//
|
|
// Each is evaluated as a series. The p9 path requires 1/r.
|
|
//
|
|
// The coefficients used in the series are stored in a table as
|
|
// are the pi constants.
|
|
//
|
|
// Registers used
|
|
//==============================================================
|
|
//
|
|
// predicate registers used:
|
|
// p6-10
|
|
//
|
|
// floating-point registers used:
|
|
// f10-15, f32-105
|
|
// f8, input
|
|
//
|
|
// general registers used
|
|
// r14-18, r32-43
|
|
//
|
|
|
|
#include "libm_support.h"
|
|
|
|
// Assembly macros
|
|
//==============================================================
|
|
TAN_INV_PI_BY_2_2TO64 = f10
|
|
TAN_RSHF_2TO64 = f11
|
|
TAN_2TOM64 = f12
|
|
TAN_RSHF = f13
|
|
TAN_W_2TO64_RSH = f14
|
|
TAN_NFLOAT = f15
|
|
|
|
tan_Inv_Pi_by_2 = f32
|
|
tan_Pi_by_2_hi = f33
|
|
tan_Pi_by_2_lo = f34
|
|
|
|
|
|
tan_P0 = f35
|
|
tan_P1 = f36
|
|
tan_P2 = f37
|
|
tan_P3 = f38
|
|
tan_P4 = f39
|
|
tan_P5 = f40
|
|
tan_P6 = f41
|
|
tan_P7 = f42
|
|
tan_P8 = f43
|
|
tan_P9 = f44
|
|
tan_P10 = f45
|
|
tan_P11 = f46
|
|
tan_P12 = f47
|
|
tan_P13 = f48
|
|
tan_P14 = f49
|
|
tan_P15 = f50
|
|
|
|
tan_Q0 = f51
|
|
tan_Q1 = f52
|
|
tan_Q2 = f53
|
|
tan_Q3 = f54
|
|
tan_Q4 = f55
|
|
tan_Q5 = f56
|
|
tan_Q6 = f57
|
|
tan_Q7 = f58
|
|
tan_Q8 = f59
|
|
tan_Q9 = f60
|
|
tan_Q10 = f61
|
|
|
|
tan_r = f62
|
|
tan_rsq = f63
|
|
tan_rcube = f64
|
|
|
|
tan_v18 = f65
|
|
tan_v16 = f66
|
|
tan_v17 = f67
|
|
tan_v12 = f68
|
|
tan_v13 = f69
|
|
tan_v7 = f70
|
|
tan_v8 = f71
|
|
tan_v4 = f72
|
|
tan_v5 = f73
|
|
tan_v15 = f74
|
|
tan_v11 = f75
|
|
tan_v14 = f76
|
|
tan_v3 = f77
|
|
tan_v6 = f78
|
|
tan_v10 = f79
|
|
tan_v2 = f80
|
|
tan_v9 = f81
|
|
tan_v1 = f82
|
|
tan_int_Nfloat = f83
|
|
tan_Nfloat = f84
|
|
|
|
tan_NORM_f8 = f85
|
|
tan_W = f86
|
|
|
|
tan_y0 = f87
|
|
tan_d = f88
|
|
tan_y1 = f89
|
|
tan_dsq = f90
|
|
tan_y2 = f91
|
|
tan_d4 = f92
|
|
tan_inv_r = f93
|
|
|
|
tan_z1 = f94
|
|
tan_z2 = f95
|
|
tan_z3 = f96
|
|
tan_z4 = f97
|
|
tan_z5 = f98
|
|
tan_z6 = f99
|
|
tan_z7 = f100
|
|
tan_z8 = f101
|
|
tan_z9 = f102
|
|
tan_z10 = f103
|
|
tan_z11 = f104
|
|
tan_z12 = f105
|
|
|
|
|
|
/////////////////////////////////////////////////////////////
|
|
|
|
tan_GR_sig_inv_pi_by_2 = r14
|
|
tan_GR_rshf_2to64 = r15
|
|
tan_GR_exp_2tom64 = r16
|
|
tan_GR_n = r17
|
|
tan_GR_rshf = r18
|
|
|
|
tan_AD = r33
|
|
tan_GR_10009 = r34
|
|
tan_GR_17_ones = r35
|
|
tan_GR_N_odd_even = r36
|
|
tan_GR_N = r37
|
|
tan_signexp = r38
|
|
tan_exp = r39
|
|
tan_ADQ = r40
|
|
|
|
GR_SAVE_PFS = r41
|
|
GR_SAVE_B0 = r42
|
|
GR_SAVE_GP = r43
|
|
|
|
|
|
#ifdef _LIBC
|
|
.rodata
|
|
#else
|
|
.data
|
|
#endif
|
|
|
|
.align 16
|
|
|
|
double_tan_constants:
|
|
ASM_TYPE_DIRECTIVE(double_tan_constants,@object)
|
|
// data8 0xA2F9836E4E44152A, 0x00003FFE // 2/pi
|
|
data8 0xC90FDAA22168C234, 0x00003FFF // pi/2 hi
|
|
|
|
data8 0xBEEA54580DDEA0E1 // P14
|
|
data8 0x3ED3021ACE749A59 // P15
|
|
data8 0xBEF312BD91DC8DA1 // P12
|
|
data8 0x3EFAE9AFC14C5119 // P13
|
|
data8 0x3F2F342BF411E769 // P8
|
|
data8 0x3F1A60FC9F3B0227 // P9
|
|
data8 0x3EFF246E78E5E45B // P10
|
|
data8 0x3F01D9D2E782875C // P11
|
|
data8 0x3F8226E34C4499B6 // P4
|
|
data8 0x3F6D6D3F12C236AC // P5
|
|
data8 0x3F57DA1146DCFD8B // P6
|
|
data8 0x3F43576410FE3D75 // P7
|
|
data8 0x3FD5555555555555 // P0
|
|
data8 0x3FC11111111111C2 // P1
|
|
data8 0x3FABA1BA1BA0E850 // P2
|
|
data8 0x3F9664F4886725A7 // P3
|
|
ASM_SIZE_DIRECTIVE(double_tan_constants)
|
|
|
|
double_Q_tan_constants:
|
|
ASM_TYPE_DIRECTIVE(double_Q_tan_constants,@object)
|
|
data8 0xC4C6628B80DC1CD1, 0x00003FBF // pi/2 lo
|
|
data8 0x3E223A73BA576E48 // Q8
|
|
data8 0x3DF54AD8D1F2CA43 // Q9
|
|
data8 0x3EF66A8EE529A6AA // Q4
|
|
data8 0x3EC2281050410EE6 // Q5
|
|
data8 0x3E8D6BB992CC3CF5 // Q6
|
|
data8 0x3E57F88DE34832E4 // Q7
|
|
data8 0x3FD5555555555555 // Q0
|
|
data8 0x3F96C16C16C16DB8 // Q1
|
|
data8 0x3F61566ABBFFB489 // Q2
|
|
data8 0x3F2BBD77945C1733 // Q3
|
|
data8 0x3D927FB33E2B0E04 // Q10
|
|
ASM_SIZE_DIRECTIVE(double_Q_tan_constants)
|
|
|
|
|
|
|
|
.align 32
|
|
.global tan#
|
|
#ifdef _LIBC
|
|
.global __tan#
|
|
#endif
|
|
|
|
////////////////////////////////////////////////////////
|
|
|
|
|
|
|
|
.section .text
|
|
.proc tan#
|
|
#ifdef _LIBC
|
|
.proc __tan#
|
|
#endif
|
|
.align 32
|
|
tan:
|
|
#ifdef _LIBC
|
|
__tan:
|
|
#endif
|
|
// The initial fnorm will take any unmasked faults and
|
|
// normalize any single/double unorms
|
|
|
|
{ .mlx
|
|
alloc r32=ar.pfs,1,11,0,0
|
|
movl tan_GR_sig_inv_pi_by_2 = 0xA2F9836E4E44152A // significand of 2/pi
|
|
}
|
|
{ .mlx
|
|
addl tan_AD = @ltoff(double_tan_constants), gp
|
|
movl tan_GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+63+1)
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
ld8 tan_AD = [tan_AD]
|
|
fnorm tan_NORM_f8 = f8
|
|
mov tan_GR_exp_2tom64 = 0xffff-64 // exponent of scaling factor 2^-64
|
|
}
|
|
{ .mlx
|
|
nop.m 999
|
|
movl tan_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
|
|
}
|
|
;;
|
|
|
|
|
|
// Form two constants we need
|
|
// 2/pi * 2^1 * 2^63, scaled by 2^64 since we just loaded the significand
|
|
// 1.1000...000 * 2^(63+63+1) to right shift int(W) into the significand
|
|
{ .mmi
|
|
setf.sig TAN_INV_PI_BY_2_2TO64 = tan_GR_sig_inv_pi_by_2
|
|
setf.d TAN_RSHF_2TO64 = tan_GR_rshf_2to64
|
|
mov tan_GR_17_ones = 0x1ffff ;;
|
|
}
|
|
|
|
|
|
// Form another constant
|
|
// 2^-64 for scaling Nfloat
|
|
// 1.1000...000 * 2^63, the right shift constant
|
|
{ .mmf
|
|
setf.exp TAN_2TOM64 = tan_GR_exp_2tom64
|
|
adds tan_ADQ = double_Q_tan_constants - double_tan_constants, tan_AD
|
|
fclass.m.unc p6,p0 = f8, 0x07 // Test for x=0
|
|
}
|
|
;;
|
|
|
|
|
|
// Form another constant
|
|
// 2^-64 for scaling Nfloat
|
|
// 1.1000...000 * 2^63, the right shift constant
|
|
{ .mmf
|
|
setf.d TAN_RSHF = tan_GR_rshf
|
|
ldfe tan_Pi_by_2_hi = [tan_AD],16
|
|
fclass.m.unc p7,p0 = f8, 0x23 // Test for x=inf
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
ldfe tan_Pi_by_2_lo = [tan_ADQ],16
|
|
fclass.m.unc p8,p0 = f8, 0xc3 // Test for x=nan
|
|
(p6) br.ret.spnt b0 ;; // Exit for x=0
|
|
}
|
|
|
|
{ .mfi
|
|
ldfpd tan_P14,tan_P15 = [tan_AD],16
|
|
(p7) frcpa.s0 f8,p9=f0,f0 // Set qnan indef if x=inf
|
|
mov tan_GR_10009 = 0x10009
|
|
}
|
|
{ .mib
|
|
ldfpd tan_Q8,tan_Q9 = [tan_ADQ],16
|
|
nop.i 999
|
|
(p7) br.ret.spnt b0 ;; // Exit for x=inf
|
|
}
|
|
|
|
{ .mfi
|
|
ldfpd tan_P12,tan_P13 = [tan_AD],16
|
|
(p8) fma.d f8=f8,f1,f8 // Set qnan if x=nan
|
|
nop.i 999
|
|
}
|
|
{ .mib
|
|
ldfpd tan_Q4,tan_Q5 = [tan_ADQ],16
|
|
nop.i 999
|
|
(p8) br.ret.spnt b0 ;; // Exit for x=nan
|
|
}
|
|
|
|
{ .mmi
|
|
getf.exp tan_signexp = tan_NORM_f8
|
|
ldfpd tan_P8,tan_P9 = [tan_AD],16
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
// Multiply x by scaled 2/pi and add large const to shift integer part of W to
|
|
// rightmost bits of significand
|
|
{ .mfi
|
|
ldfpd tan_Q6,tan_Q7 = [tan_ADQ],16
|
|
fma.s1 TAN_W_2TO64_RSH = tan_NORM_f8,TAN_INV_PI_BY_2_2TO64,TAN_RSHF_2TO64
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mmi
|
|
ldfpd tan_P10,tan_P11 = [tan_AD],16
|
|
nop.m 999
|
|
and tan_exp = tan_GR_17_ones, tan_signexp ;;
|
|
}
|
|
|
|
|
|
// p7 is true if we must call DBX TAN
|
|
// p7 is true if f8 exp is > 0x10009 (which includes all ones
|
|
// NAN or inf)
|
|
{ .mmi
|
|
ldfpd tan_Q0,tan_Q1 = [tan_ADQ],16
|
|
cmp.ge.unc p7,p0 = tan_exp,tan_GR_10009
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mmb
|
|
ldfpd tan_P4,tan_P5 = [tan_AD],16
|
|
nop.m 999
|
|
(p7) br.cond.spnt L(TAN_DBX) ;;
|
|
}
|
|
|
|
|
|
{ .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 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
getf.sig tan_GR_n = TAN_W_2TO64_RSH
|
|
nop.f 999
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
// tan_r = -tan_Nfloat * tan_Pi_by_2_hi + x
|
|
{ .mfi
|
|
ldfpd tan_P2,tan_P3 = [tan_AD]
|
|
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 ;;
|
|
}
|
|
|
|
|
|
// tan_r = tan_r -tan_Nfloat * tan_Pi_by_2_lo
|
|
{ .mfi
|
|
nop.m 999
|
|
fnma.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, p10 = 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 ;;
|
|
}
|
|
.endp tan#
|
|
ASM_SIZE_DIRECTIVE(tan)
|
|
|
|
|
|
.proc __libm_callout
|
|
__libm_callout:
|
|
L(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
|
|
{ .mfb
|
|
nop.m 999
|
|
nop.f 999
|
|
br.call.sptk.many b0=__libm_tan# ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
mov gp = GR_SAVE_GP
|
|
fnorm.d f8 = f8
|
|
mov b0 = GR_SAVE_B0
|
|
}
|
|
;;
|
|
|
|
|
|
{ .mib
|
|
nop.m 999
|
|
mov ar.pfs = GR_SAVE_PFS
|
|
br.ret.sptk b0
|
|
;;
|
|
}
|
|
|
|
|
|
.endp __libm_callout
|
|
ASM_SIZE_DIRECTIVE(__libm_callout)
|
|
|
|
.type __libm_tan#,@function
|
|
.global __libm_tan#
|