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glibc/sysdeps/ia64/fpu/e_acosl.S
Ulrich Drepper 8da2915d5d Update. 
2001-02-19  Ulrich Drepper  <drepper@redhat.com>

	* libio/iogetline.c: Move return until after last statement.

	* localedata/show-ucs-data.c: Don't show < > for better readability.

	* sysdeps/ia64/fpu/Dist: New file.
	* sysdeps/ia64/fpu/Makefile: New file.
	* sysdeps/ia64/fpu/Versions: New file.
	* sysdeps/ia64/fpu/e_acos.S: New file.
	* sysdeps/ia64/fpu/e_acosf.S: New file.
	* sysdeps/ia64/fpu/e_acosl.S: New file.
	* sysdeps/ia64/fpu/e_asin.S: New file.
	* sysdeps/ia64/fpu/e_asinf.S: New file.
	* sysdeps/ia64/fpu/e_asinl.S: New file.
	* sysdeps/ia64/fpu/e_atan2.S: New file.
	* sysdeps/ia64/fpu/e_atan2f.S: New file.
	* sysdeps/ia64/fpu/e_atan2l.c: New file.
	* sysdeps/ia64/fpu/e_cosh.S: New file.
	* sysdeps/ia64/fpu/e_coshf.S: New file.
	* sysdeps/ia64/fpu/e_coshl.S: New file.
	* sysdeps/ia64/fpu/e_exp.S: New file.
	* sysdeps/ia64/fpu/e_expf.S: New file.
	* sysdeps/ia64/fpu/e_expl.c: New file.
	* sysdeps/ia64/fpu/e_fmod.S: New file.
	* sysdeps/ia64/fpu/e_fmodf.S: New file.
	* sysdeps/ia64/fpu/e_fmodl.S: New file.
	* sysdeps/ia64/fpu/e_hypot.S: New file.
	* sysdeps/ia64/fpu/e_hypotf.S: New file.
	* sysdeps/ia64/fpu/e_hypotl.S: New file.
	* sysdeps/ia64/fpu/e_log.S: New file.
	* sysdeps/ia64/fpu/e_log10.c: New file.
	* sysdeps/ia64/fpu/e_log10f.c: New file.
	* sysdeps/ia64/fpu/e_log10l.c: New file.
	* sysdeps/ia64/fpu/e_logf.S: New file.
	* sysdeps/ia64/fpu/e_logl.c: New file.
	* sysdeps/ia64/fpu/e_pow.S: New file.
	* sysdeps/ia64/fpu/e_powf.S: New file.
	* sysdeps/ia64/fpu/e_powl.S: New file.
	* sysdeps/ia64/fpu/e_rem_pio2.c: New file.
	* sysdeps/ia64/fpu/e_rem_pio2f.c: New file.
	* sysdeps/ia64/fpu/e_remainder.S: New file.
	* sysdeps/ia64/fpu/e_remainderf.S: New file.
	* sysdeps/ia64/fpu/e_remainderl.S: New file.
	* sysdeps/ia64/fpu/e_scalb.S: New file.
	* sysdeps/ia64/fpu/e_scalbf.S: New file.
	* sysdeps/ia64/fpu/e_scalbl.S: New file.
	* sysdeps/ia64/fpu/e_sinh.S: New file.
	* sysdeps/ia64/fpu/e_sinhf.S: New file.
	* sysdeps/ia64/fpu/e_sinhl.S: New file.
	* sysdeps/ia64/fpu/e_sqrt.S: New file.
	* sysdeps/ia64/fpu/e_sqrtf.S: New file.
	* sysdeps/ia64/fpu/e_sqrtl.S: New file.
	* sysdeps/ia64/fpu/k_rem_pio2.c: New file.
	* sysdeps/ia64/fpu/k_rem_pio2f.c: New file.
	* sysdeps/ia64/fpu/k_rem_pio2l.c: New file.
	* sysdeps/ia64/fpu/libm_atan2_reg.S: New file.
	* sysdeps/ia64/fpu/libm_error.c: New file.
	* sysdeps/ia64/fpu/libm_frexp4.S: New file.
	* sysdeps/ia64/fpu/libm_frexp4f.S: New file.
	* sysdeps/ia64/fpu/libm_frexp4l.S: New file.
	* sysdeps/ia64/fpu/libm_reduce.S: New file.
	* sysdeps/ia64/fpu/libm_support.h: New file.
	* sysdeps/ia64/fpu/libm_tan.S: New file.
	* sysdeps/ia64/fpu/s_atan.S: New file.
	* sysdeps/ia64/fpu/s_atanf.S: New file.
	* sysdeps/ia64/fpu/s_atanl.S: New file.
	* sysdeps/ia64/fpu/s_cbrt.S: New file.
	* sysdeps/ia64/fpu/s_cbrtf.S: New file.
	* sysdeps/ia64/fpu/s_cbrtl.S: New file.
	* sysdeps/ia64/fpu/s_ceil.S: New file.
	* sysdeps/ia64/fpu/s_ceilf.S: New file.
	* sysdeps/ia64/fpu/s_ceill.S: New file.
	* sysdeps/ia64/fpu/s_cos.S: New file.
	* sysdeps/ia64/fpu/s_cosf.S: New file.
	* sysdeps/ia64/fpu/s_cosl.S: New file.
	* sysdeps/ia64/fpu/s_expm1.S: New file.
	* sysdeps/ia64/fpu/s_expm1f.S: New file.
	* sysdeps/ia64/fpu/s_expm1l.S: New file.
	* sysdeps/ia64/fpu/s_floor.S: New file.
	* sysdeps/ia64/fpu/s_floorf.S: New file.
	* sysdeps/ia64/fpu/s_floorl.S: New file.
	* sysdeps/ia64/fpu/s_frexp.c: New file.
	* sysdeps/ia64/fpu/s_frexpf.c: New file.
	* sysdeps/ia64/fpu/s_frexpl.c: New file.
	* sysdeps/ia64/fpu/s_ilogb.S: New file.
	* sysdeps/ia64/fpu/s_ilogbf.S: New file.
	* sysdeps/ia64/fpu/s_ilogbl.S: New file.
	* sysdeps/ia64/fpu/s_ldexp.S: New file.
	* sysdeps/ia64/fpu/s_ldexpf.S: New file.
	* sysdeps/ia64/fpu/s_ldexpl.S: New file.
	* sysdeps/ia64/fpu/s_log1p.S: New file.
	* sysdeps/ia64/fpu/s_log1pf.S: New file.
	* sysdeps/ia64/fpu/s_log1pl.S: New file.
	* sysdeps/ia64/fpu/s_logb.S: New file.
	* sysdeps/ia64/fpu/s_logbf.S: New file.
	* sysdeps/ia64/fpu/s_logbl.S: New file.
	* sysdeps/ia64/fpu/s_matherrf.c: New file.
	* sysdeps/ia64/fpu/s_matherrl.c: New file.
	* sysdeps/ia64/fpu/s_modf.S: New file.
	* sysdeps/ia64/fpu/s_modff.S: New file.
	* sysdeps/ia64/fpu/s_modfl.S: New file.
	* sysdeps/ia64/fpu/s_nearbyint.S: New file.
	* sysdeps/ia64/fpu/s_nearbyintf.S: New file.
	* sysdeps/ia64/fpu/s_nearbyintl.S: New file.
	* sysdeps/ia64/fpu/s_rint.S: New file.
	* sysdeps/ia64/fpu/s_rintf.S: New file.
	* sysdeps/ia64/fpu/s_rintl.S: New file.
	* sysdeps/ia64/fpu/s_round.S: New file.
	* sysdeps/ia64/fpu/s_roundf.S: New file.
	* sysdeps/ia64/fpu/s_roundl.S: New file.
	* sysdeps/ia64/fpu/s_scalbn.S: New file.
	* sysdeps/ia64/fpu/s_scalbnf.S: New file.
	* sysdeps/ia64/fpu/s_scalbnl.S: New file.
	* sysdeps/ia64/fpu/s_significand.S: New file.
	* sysdeps/ia64/fpu/s_significandf.S: New file.
	* sysdeps/ia64/fpu/s_significandl.S: New file.
	* sysdeps/ia64/fpu/s_sin.c: New file.
	* sysdeps/ia64/fpu/s_sincos.c: New file.
	* sysdeps/ia64/fpu/s_sincosf.c: New file.
	* sysdeps/ia64/fpu/s_sincosl.c: New file.
	* sysdeps/ia64/fpu/s_sinf.c: New file.
	* sysdeps/ia64/fpu/s_sinl.c: New file.
	* sysdeps/ia64/fpu/s_tan.S: New file.
	* sysdeps/ia64/fpu/s_tanf.S: New file.
	* sysdeps/ia64/fpu/s_tanl.S: New file.
	* sysdeps/ia64/fpu/s_trunc.S: New file.
	* sysdeps/ia64/fpu/s_truncf.S: New file.
	* sysdeps/ia64/fpu/s_truncl.S: New file.
	* sysdeps/ia64/fpu/w_acos.c: New file.
	* sysdeps/ia64/fpu/w_acosf.c: New file.
	* sysdeps/ia64/fpu/w_acosl.c: New file.
	* sysdeps/ia64/fpu/w_asin.c: New file.
	* sysdeps/ia64/fpu/w_asinf.c: New file.
	* sysdeps/ia64/fpu/w_asinl.c: New file.
	* sysdeps/ia64/fpu/w_atan2.c: New file.
	* sysdeps/ia64/fpu/w_atan2f.c: New file.
	* sysdeps/ia64/fpu/w_atan2l.c: New file.
	* sysdeps/ia64/fpu/w_cosh.c: New file.
	* sysdeps/ia64/fpu/w_coshf.c: New file.
	* sysdeps/ia64/fpu/w_coshl.c: New file.
	* sysdeps/ia64/fpu/w_exp.c: New file.
	* sysdeps/ia64/fpu/w_expf.c: New file.
	* sysdeps/ia64/fpu/w_fmod.c: New file.
	* sysdeps/ia64/fpu/w_fmodf.c: New file.
	* sysdeps/ia64/fpu/w_fmodl.c: New file.
	* sysdeps/ia64/fpu/w_hypot.c: New file.
	* sysdeps/ia64/fpu/w_hypotf.c: New file.
	* sysdeps/ia64/fpu/w_hypotl.c: New file.
	* sysdeps/ia64/fpu/w_log.c: New file.
	* sysdeps/ia64/fpu/w_log10.c: New file.
	* sysdeps/ia64/fpu/w_log10f.c: New file.
	* sysdeps/ia64/fpu/w_log10l.c: New file.
	* sysdeps/ia64/fpu/w_logf.c: New file.
	* sysdeps/ia64/fpu/w_logl.c: New file.
	* sysdeps/ia64/fpu/w_pow.c: New file.
	* sysdeps/ia64/fpu/w_powf.c: New file.
	* sysdeps/ia64/fpu/w_powl.c: New file.
	* sysdeps/ia64/fpu/w_remainder.c: New file.
	* sysdeps/ia64/fpu/w_remainderf.c: New file.
	* sysdeps/ia64/fpu/w_remainderl.c: New file.
	* sysdeps/ia64/fpu/w_scalb.c: New file.
	* sysdeps/ia64/fpu/w_scalbf.c: New file.
	* sysdeps/ia64/fpu/w_scalbl.c: New file.
	* sysdeps/ia64/fpu/w_sqrt.c: New file.
	* sysdeps/ia64/fpu/w_sqrtf.c: New file.
	* sysdeps/ia64/fpu/w_sqrtl.c: New file.
	* sysdeps/ia64/fpu/libm-test-ulps: Adjust for long double
	implementation.
	* sysdeps/ia64/fpu/bits/mathdef.h: Correct float_t and double_t types.
	Change FP_ILOGBNAN for new implementation.
	* Verions.def: Add 2.2.3 versions.
2001-02-19 09:09:18 +00:00

1095 lines
25 KiB
ArmAsm
Raw Blame History

.file "acosl.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.
//
// WARRANTY DISCLAIMER
//
// 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
// 2/07/00 Modified calculation of acos_corr to correct acosl
// 4/04/00 Unwind support added
// 8/15/00 Bundle added after call to __libm_error_support to properly
// set [the previously overwritten] GR_Parameter_RESULT.
// 12/20/00 Set denormal flag properly.
//
// API
//==============================================================
// double-extended = acosl (double-extended)
// input floating point f8
// output floating point f8
//
// Registers used
//==============================================================
//
// predicate registers used:
// p6 -> p12
//
// floating-point registers used:
// f8 has input, then output
// f8 -> f15, f32 ->f99
//
// general registers used:
// r32 -> r48
//
// Overview of operation
//==============================================================
// There are three paths
// 1. |x| < 2^-25 ACOS_TINY
// 2. 2^-25 <= |x| < 1/4 ACOS_POLY
// 3. 1/4 <= |x| < 1 ACOS_ATAN
#include "libm_support.h"
// Assembly macros
//==============================================================
// f8 is input, but acos_V must be put in f8
// when __libm_atan2_reg is called, f8 must get V
// f9 gets U when __libm_atan2_reg is called
// __libm_atan2_reg returns
// f8 = Z_hi
// f10 = Z_lo
// f11 = s_lo
acos_Z_hi = f8
acos_Z_lo = f10
acos_S_lo = f11
// When we call __libm_atan2_reg, we must save
// the following:
acos_corr = f12
acos_X = f13
acos_pi_hi = f14
acos_pi_lo = f15
// The rest of the assembly macros
acos_P79 = f32
acos_P59 = f33
acos_P39 = f34
acos_P19 = f35
acos_P810 = f36
acos_P610 = f37
acos_P410 = f38
acos_P210 = f39
acos_A1 = f41
acos_A2 = f42
acos_A3 = f43
acos_A4 = f44
acos_A5 = f45
acos_A6 = f46
acos_A7 = f47
acos_A8 = f48
acos_A9 = f49
acos_A10 = f50
acos_X2 = f51
acos_X4 = f52
acos_B = f53
acos_Bb = f54
acos_A = f55
acos_Aa = f56
acos_1mA = f57
acos_W = f58
acos_Ww = f59
acos_y0 = f60
acos_y1 = f61
acos_y2 = f62
acos_H = f63
acos_Hh = f64
acos_t1 = f65
acos_t2 = f66
acos_t3 = f67
acos_t4 = f68
acos_t5 = f69
acos_Pseries = f70
acos_NORM_f8 = f71
acos_ABS_NORM_f8 = f72
acos_2 = f73
acos_P1P2 = f74
acos_HALF = f75
acos_U = f76
acos_1mB = f77
acos_V = f78
acos_S = f79
acos_BmUU = f80
acos_BmUUpb = f81
acos_2U = f82
acos_1d2U = f83
acos_Dd = f84
acos_pi_by_2_hi = f85
acos_pi_by_2_lo = f86
acos_xmpi_by_2_lo = f87
acos_xPmw = f88
acos_Uu = f89
acos_AmVV = f90
acos_AmVVpa = f91
acos_2V = f92
acos_1d2V = f93
acos_Vv = f94
acos_Vu = f95
acos_Uv = f96
acos_2_Z_hi = f97
acos_s_lo_Z_lo = f98
acos_result_lo = f99
acos_Z_hi = f8
acos_Z_lo = f10
acos_s_lo = f11
acos_GR_17_ones = r33
acos_GR_16_ones = r34
acos_GR_signexp_f8 = r35
acos_GR_exp = r36
acos_GR_true_exp = r37
acos_GR_fffe = r38
GR_SAVE_PFS = r43
GR_SAVE_B0 = r39
GR_SAVE_GP = r41
// r40 is address of table of coefficients
// r42
GR_Parameter_X = r44
GR_Parameter_Y = r45
GR_Parameter_RESULT = r46
GR_Parameter_TAG = r47
// 2^-40:
// A true exponent of -40 is
// : -40 + register_bias
// : -28 + ffff = ffd7
// A true exponent of 1 is
// : 1 + register_bias
// : 1 + ffff = 10000
// Data tables
//==============================================================
#ifdef _LIBC
.rodata
#else
.data
#endif
.align 16
acos_coefficients:
ASM_TYPE_DIRECTIVE(acos_coefficients,@object)
data8 0xc90fdaa22168c234, 0x00003FFF // pi_by_2_hi
data8 0xc4c6628b80dc1cd1, 0x00003FBF // pi_by_2_lo
data8 0xc90fdaa22168c234, 0x00004000 // pi_hi
data8 0xc4c6628b80dc1cd1, 0x00003FC0 // pi_lo
data8 0xBB08911F2013961E, 0x00003FF8 // A10
data8 0x981F1095A23A87D3, 0x00003FF8 // A9
data8 0xBDF09C6C4177BCC6, 0x00003FF8 // A8
data8 0xE4C3A60B049ACCEA, 0x00003FF8 // A7
data8 0x8E2789F4E8A8F1AD, 0x00003FF9 // A6
data8 0xB745D09B2B0E850B, 0x00003FF9 // A5
data8 0xF8E38E3BC4C50920, 0x00003FF9 // A4
data8 0xB6DB6DB6D89FCD81, 0x00003FFA // A3
data8 0x99999999999AF376, 0x00003FFB // A2
data8 0xAAAAAAAAAAAAAA71, 0x00003FFC // A1
ASM_SIZE_DIRECTIVE(acos_coefficients)
.align 32
.global acosl#
ASM_TYPE_DIRECTIVE(acosl#,@function)
.section .text
.proc acosl#
.align 32
acosl:
// After normalizing f8, get its true exponent
{ .mfi
alloc r32 = ar.pfs,1,11,4,0
(p0) fnorm.s1 acos_NORM_f8 = f8
(p0) mov acos_GR_17_ones = 0x1ffff
}
{ .mmi
(p0) mov acos_GR_16_ones = 0xffff
(p0) addl r40 = @ltoff(acos_coefficients), gp
nop.i 999
}
;;
// Set denormal flag on denormal input with fcmp
{ .mfi
ld8 r40 = [r40]
fcmp.eq p6,p0 = f8,f0
nop.i 999
}
;;
// Load the constants pi_by_2 and pi.
// Each is stored as hi and lo values
// Also load the coefficients for ACOS_POLY
{ .mmi
(p0) ldfe acos_pi_by_2_hi = [r40],16 ;;
(p0) ldfe acos_pi_by_2_lo = [r40],16
nop.i 999 ;;
}
{ .mmi
(p0) ldfe acos_pi_hi = [r40],16 ;;
(p0) ldfe acos_pi_lo = [r40],16
nop.i 999 ;;
}
{ .mmi
(p0) ldfe acos_A10 = [r40],16 ;;
(p0) ldfe acos_A9 = [r40],16
nop.i 999 ;;
}
// Take the absolute value of f8
{ .mmf
nop.m 999
(p0) getf.exp acos_GR_signexp_f8 = acos_NORM_f8
(p0) fmerge.s acos_ABS_NORM_f8 = f0, acos_NORM_f8
}
{ .mii
(p0) ldfe acos_A8 = [r40],16
nop.i 999 ;;
(p0) and acos_GR_exp = acos_GR_signexp_f8, acos_GR_17_ones ;;
}
// case 1: |x| < 2^-25 ==> p6 ACOS_TINY
// case 2: 2^-25 <= |x| < 2^-2 ==> p8 ACOS_POLY
// case 3: 2^-2 <= |x| < 1 ==> p9 ACOS_ATAN
// case 4: 1 <= |x| ==> p11 ACOS_ERROR_RETURN
// Admittedly |x| = 1 is not an error but this is where that case is
// handled.
{ .mii
(p0) ldfe acos_A7 = [r40],16
(p0) sub acos_GR_true_exp = acos_GR_exp, acos_GR_16_ones ;;
(p0) cmp.ge.unc p6, p7 = -26, acos_GR_true_exp ;;
}
{ .mii
(p0) ldfe acos_A6 = [r40],16
(p7) cmp.ge.unc p8, p9 = -3, acos_GR_true_exp ;;
(p9) cmp.ge.unc p10, p11 = -1, acos_GR_true_exp
}
{ .mmi
(p0) ldfe acos_A5 = [r40],16 ;;
(p0) ldfe acos_A4 = [r40],16
nop.i 999 ;;
}
{ .mmi
(p0) ldfe acos_A3 = [r40],16 ;;
(p0) ldfe acos_A2 = [r40],16
nop.i 999 ;;
}
// ACOS_ERROR_RETURN ==> p11 is true
// case 4: |x| >= 1
{ .mib
(p0) ldfe acos_A1 = [r40],16
nop.i 999
(p11) br.spnt L(ACOS_ERROR_RETURN) ;;
}
// ACOS_TINY ==> p6 is true
// case 1: |x| < 2^-25
{ .mfi
nop.m 999
(p6) fms.s1 acos_xmpi_by_2_lo = acos_NORM_f8,f1, acos_pi_by_2_lo
nop.i 999 ;;
}
{ .mfb
nop.m 999
(p6) fms.s0 f8 = acos_pi_by_2_hi,f1, acos_xmpi_by_2_lo
(p6) br.ret.spnt b0 ;;
}
// ACOS_POLY ==> p8 is true
// case 2: 2^-25 <= |x| < 2^-2
{ .mfi
nop.m 999
(p8) fms.s1 acos_W = acos_pi_by_2_hi, f1, acos_NORM_f8
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s1 acos_X2 = f8,f8, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fms.s1 acos_Ww = acos_pi_by_2_hi, f1, acos_W
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s1 acos_X4 = acos_X2,acos_X2, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fms.s1 acos_Ww = acos_Ww, f1, acos_NORM_f8
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s1 acos_P810 = acos_X4, acos_A10, acos_A8
nop.i 999
}
// acos_P79 = X4*A9 + A7
// acos_P810 = X4*A10 + A8
{ .mfi
nop.m 999
(p8) fma.s1 acos_P79 = acos_X4, acos_A9, acos_A7
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s1 acos_Ww = acos_Ww, f1, acos_pi_by_2_lo
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s1 acos_P610 = acos_X4, acos_P810, acos_A6
nop.i 999
}
// acos_P59 = X4*(X4*A9 + A7) + A5
// acos_P610 = X4*(X4*A10 + A8) + A6
{ .mfi
nop.m 999
(p8) fma.s1 acos_P59 = acos_X4, acos_P79, acos_A5
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s1 acos_P410 = acos_X4, acos_P610, acos_A4
nop.i 999
}
// acos_P39 = X4*(X4*(X4*A9 + A7) + A5) + A3
// acos_P410 = X4*(X4*(X4*A10 + A8) + A6) + A4
{ .mfi
nop.m 999
(p8) fma.s1 acos_P39 = acos_X4, acos_P59, acos_A3
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s1 acos_P210 = acos_X4, acos_P410, acos_A2
nop.i 999
}
// acos_P19 = X4*(X4*(X4*(X4*A9 + A7) + A5) + A3) + A1 = P1
// acos_P210 = X4*(X4*(X4*(X4*A10 + A8) + A6) + A4) + A2 = P2
{ .mfi
nop.m 999
(p8) fma.s1 acos_P19 = acos_X4, acos_P39, acos_A1
nop.i 999 ;;
}
// acos_P1P2 = Xsq*P2 + P1
// acos_P1P2 = Xsq*(Xsq*P2 + P1)
{ .mfi
nop.m 999
(p8) fma.s1 acos_P1P2 = acos_X2, acos_P210, acos_P19
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s1 acos_P1P2 = acos_X2, acos_P1P2, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fms.s1 acos_xPmw = acos_NORM_f8, acos_P1P2, acos_Ww
nop.i 999 ;;
}
{ .mfb
nop.m 999
(p8) fms.s0 f8 = acos_W, f1, acos_xPmw
(p8) br.ret.spnt b0 ;;
}
// ACOS_ATAN
// case 3: 2^-2 <= |x| < 1
// case 3: 2^-2 <= |x| < 1 ==> p9 ACOS_ATAN
// Step 1.1: Get A,B and a,b
// A + a = 1- |X|
// B + b = 1+ |X|
// Note also that we will use acos_corr (f13)
// and acos_W
// Step 2
// Call __libm_atan2_reg
{ .mfi
(p0) mov acos_GR_fffe = 0xfffe
(p0) fma.s1 acos_B = f1,f1, acos_ABS_NORM_f8
(p0) mov GR_SAVE_B0 = b0 ;;
}
{ .mmf
(p0) mov GR_SAVE_GP = gp
nop.m 999
(p0) fms.s1 acos_A = f1,f1, acos_ABS_NORM_f8
}
{ .mfi
(p0) setf.exp acos_HALF = acos_GR_fffe
nop.f 999
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fms.s1 acos_1mB = f1,f1, acos_B
nop.i 999 ;;
}
// We want atan2(V,U)
// so put V in f8 and U in f9
// but save X in acos_X
{ .mfi
nop.m 999
(p0) fmerge.se acos_X = f8, f8
nop.i 999 ;;
}
// Step 1.2:
/////////////////////////
// Get U = sqrt(B)
/////////////////////////
{ .mfi
nop.m 999
(p0) frsqrta.s1 acos_y0,p8 = acos_B
nop.i 999
}
{ .mfi
nop.m 999
(p0) fms.s1 acos_1mA = f1,f1, acos_A
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_Bb = acos_1mB,f1, acos_ABS_NORM_f8
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_Hh = acos_HALF, acos_B, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_t1 = acos_y0, acos_y0, f0
nop.i 999
}
{ .mfi
nop.m 999
(p0) fms.s1 acos_Aa = acos_1mA,f1, acos_ABS_NORM_f8
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fnma.s1 acos_t2 = acos_t1, acos_Hh, acos_HALF
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_y1 = acos_t2, acos_y0, acos_y0
nop.i 999
}
// Step 1.2:
/////////////////////////
// Get V = sqrt(A)
/////////////////////////
{ .mfi
nop.m 999
(p0) frsqrta.s1 acos_y0,p8 = acos_A
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_t3 = acos_y1, acos_Hh, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_t1 = acos_y0, acos_y0, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fnma.s1 acos_t4 = acos_t3, acos_y1, acos_HALF
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_y2 = acos_t4, acos_y1, acos_y1
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_S = acos_B, acos_y2, f0
nop.i 999
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_H = acos_y2, acos_HALF, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_t5 = acos_Hh, acos_y2, f0
nop.i 999
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_Hh = acos_HALF, acos_A, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fnma.s1 acos_Dd = acos_S, acos_S, acos_B
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fnma.s1 acos_t2 = acos_t1, acos_Hh, acos_HALF
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_U = acos_Dd, acos_H, acos_S
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_y1 = acos_t2, acos_y0, acos_y0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_2U = acos_U, f1, acos_U
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_t3 = acos_y1, acos_Hh, f0
nop.i 999
}
// Step 1.3:
// sqrt(A + a) = V + v
// sqrt(B + b) = U + u
/////////////////////////
// Get u
/////////////////////////
// acos_BmUU = B - UU
// acos_BmUUpb = (B - UU) + b
{ .mfi
nop.m 999
(p0) fnma.s1 acos_BmUU = acos_U, acos_U, acos_B
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fmerge.se f9 = acos_U, acos_U
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fnma.s1 acos_t4 = acos_t3, acos_y1, acos_HALF
nop.i 999 ;;
}
// acos_1d2U = frcpa(2U)
{ .mfi
nop.m 999
(p0) frcpa.s1 acos_1d2U,p9 = f1, acos_2U
nop.i 999
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_BmUUpb = acos_BmUU, f1, acos_Bb
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_y2 = acos_t4, acos_y1, acos_y1
nop.i 999 ;;
}
{ .mfi
nop.m 999
// acos_Uu = ((B - UU) + b) * frcpa(2U)
(p0) fma.s1 acos_Uu = acos_BmUUpb, acos_1d2U, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_S = acos_A, acos_y2, f0
nop.i 999
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_H = acos_y2, acos_HALF, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_t5 = acos_Hh, acos_y2, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fnma.s1 acos_Dd = acos_S, acos_S, acos_A
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_V = acos_Dd, acos_H, acos_S
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_2V = acos_V, f1, acos_V
nop.i 999
}
// Step 3
/////////////////////////
// Calculate the correction, acos_corr
/////////////////////////
// acos_corr = U*v - (V*u)
{ .mfi
nop.m 999
(p0) fma.s1 acos_Vu = acos_V,acos_Uu, f0
nop.i 999 ;;
}
/////////////////////////
// Get v
/////////////////////////
// acos_AmVV = A - VV
// acos_AmVVpa = (A - VV) + a
{ .mfi
nop.m 999
(p0) fnma.s1 acos_AmVV = acos_V, acos_V, acos_A
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fmerge.se f8 = acos_V, acos_V
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_AmVVpa = acos_AmVV, f1, acos_Aa
nop.i 999 ;;
}
// acos_1d2V = frcpa(2V)
{ .mfi
nop.m 999
(p0) frcpa.s1 acos_1d2V,p9 = f1, acos_2V
nop.i 999 ;;
}
// acos_Vv = ((A - VV) + a) * frcpa(2V)
{ .mfi
nop.m 999
(p0) fma.s1 acos_Vv = acos_AmVVpa, acos_1d2V, f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_Uv = acos_U,acos_Vv, f0
nop.i 999 ;;
}
.endp acosl#
ASM_SIZE_DIRECTIVE(acosl#)
.proc __libm_callout
__libm_callout:
.prologue
{ .mfi
nop.m 0
nop.f 0
.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
(p0) fms.s1 acos_corr = acos_Uv,f1, acos_Vu
(p0) br.call.sptk.many b0=__libm_atan2_reg# ;;
}
// p6 ==> X is negative
// p7 ==> x is positive
// We know that |X| >= 1/4
{ .mfi
(p0) mov gp = GR_SAVE_GP
(p0) fcmp.lt.unc p6,p7 = acos_X , f0
(p0) mov b0 = GR_SAVE_B0 ;;
}
// acos_2_Z_hi = 2 * acos_Z_hi
// acos_s_lo_Z_lo = s_lo * Z_lo
{ .mfi
nop.m 999
(p0) fma.s1 acos_2_Z_hi = acos_Z_hi, f1, acos_Z_hi
(p0) mov ar.pfs = GR_SAVE_PFS
}
{ .mfi
nop.m 999
(p0) fma.s1 acos_s_lo_Z_lo = acos_s_lo, acos_Z_lo, f0
nop.i 999 ;;
}
// 2 is a constant needed later
{ .mfi
nop.m 999
(p0) fma.s1 acos_2 = f1,f1,f1
nop.i 999 ;;
}
// X >= 1/4
// acos_result_lo = 2(s_lo * Z_lo) - corr
// f8 = (2*Z_hi) + (2(s_lo * Z_lo) - corr)
{ .mfi
nop.m 999
(p7) fma.s1 acos_result_lo = acos_s_lo_Z_lo, acos_2, acos_corr
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p7) fma.s0 f8 = acos_2_Z_hi, f1, acos_result_lo
nop.i 999
}
// acos_result_lo = (pi_lo - corr)
// acos_result_lo = (pi_lo - corr) + acos_Ww
{ .mfi
nop.m 999
(p6) fms.s1 acos_result_lo = acos_pi_lo, f1, acos_corr
nop.i 999 ;;
}
// X <= -1/4
// acos_W = pi_hi - 2 * Z_hi
{ .mfi
nop.m 999
(p6) fnma.s1 acos_W = acos_2, acos_Z_hi, acos_pi_hi
nop.i 999 ;;
}
// acos_Ww = pi_hi - W
// acos_Ww = (pi_hi - W) + (2 * Z_hi)
{ .mfi
nop.m 999
(p6) fms.s1 acos_Ww = acos_pi_hi, f1, acos_W
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p6) fms.s1 acos_Ww = acos_Ww, f1, acos_2_Z_hi
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p6) fma.s1 acos_result_lo = acos_result_lo, f1, acos_Ww
nop.i 999 ;;
}
// acos_Z_lo = ((pi_lo - corr) + acos_Ww) - 2 * (s_lo * Z_lo)
{ .mfi
nop.m 999
(p6) fnma.s1 acos_Z_lo = acos_s_lo_Z_lo, acos_2, acos_result_lo
nop.i 999 ;;
}
{ .mfb
nop.m 999
(p6) fma.s0 f8 = acos_W, f1, acos_Z_lo
(p0) br.ret.sptk b0 ;;
}
.endp __libm_callout
ASM_SIZE_DIRECTIVE(__libm_callout)
.proc SPECIAL
SPECIAL:
L(ACOS_NAN):
{ .mfb
nop.m 999
(p0) fma.s0 f8 = f8,f1,f0
(p0) br.ret.sptk b0 ;;
}
L(ACOS_ERROR_RETURN):
// Save ar.pfs, b0, and gp; restore on exit
// qnan snan inf norm unorm 0 -+
// 1 1 0 0 0 0 11 = 0xc3
// Coming in as X = +- 1
// What should we return?
// If X is 1, return (sign of X)pi/2
{ .mfi
nop.m 999
(p0) fcmp.eq.unc p6,p7 = acos_ABS_NORM_f8,f1
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p6) fcmp.lt.unc p8,p9 = f8,f0
nop.i 999 ;;
}
{ .mfi
nop.m 999
(p8) fma.s0 f8 = acos_pi_hi, f1, acos_pi_lo
nop.i 999
}
{ .mfb
nop.m 999
(p9) fmerge.s f8 = f8,f0
(p6) br.ret.spnt b0 ;;
}
// If X is a NAN, leave
{ .mfi
nop.m 999
(p0) fclass.m.unc p12,p0 = f8, 0xc3
nop.i 999 ;;
}
{ .mfb
nop.m 999
(p12) fma.s0 f8 = f8,f1,f0
(p12) br.ret.spnt b0 ;;
}
{ .mfi
(p0) mov GR_Parameter_TAG = 57
(p0) frcpa f10, p6 = f0, f0
nop.i 999
};;
.endp SPECIAL
ASM_SIZE_DIRECTIVE(SPECIAL)
.proc __libm_error_region
__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
stfe [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
stfe [GR_Parameter_X] = f8 // Store Parameter 1 on stack
add GR_Parameter_RESULT = 0,GR_Parameter_Y
nop.b 0 // Parameter 3 address
}
{ .mib
stfe [GR_Parameter_Y] = f10 // 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
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
};;
.endp __libm_error_region
ASM_SIZE_DIRECTIVE(__libm_error_region)
.type __libm_error_support#,@function
.global __libm_error_support#
.type __libm_atan2_reg#,@function
.global __libm_atan2_reg#
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