glibc/sysdeps/ia64/fpu/s_cosf.S

687 lines
17 KiB
ArmAsm

.file "sincosf.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 revision
// 4/02/00 Unwind support added.
// 5/10/00 Improved speed with new algorithm.
// 8/08/00 Improved speed by avoiding SIR flush.
// 8/17/00 Changed predicate register macro-usage to direct predicate
// names due to an assembler bug.
// 8/30/00 Put sin_of_r before sin_tbl_S_cos_of_r to gain a cycle
// 1/02/00 Fixed flag settings, improved speed.
//
// API
//==============================================================
// float sinf( float x);
// float cosf( float x);
//
#include "libm_support.h"
// Assembly macros
//==============================================================
// SIN_Sin_Flag = p6
// SIN_Cos_Flag = p7
// integer registers used
SIN_AD_PQ_1 = r33
SIN_AD_PQ_2 = r33
sin_GR_sincos_flag = r34
sin_GR_Mint = r35
sin_GR_index = r36
gr_tmp = r37
GR_SAVE_B0 = r37
GR_SAVE_GP = r38
GR_SAVE_PFS = r39
// floating point registers used
sin_coeff_P1 = f32
sin_coeff_P2 = f33
sin_coeff_Q1 = f34
sin_coeff_Q2 = f35
sin_coeff_P4 = f36
sin_coeff_P5 = f37
sin_coeff_Q3 = f38
sin_coeff_Q4 = f39
sin_Mx = f40
sin_Mfloat = f41
sin_tbl_S = f42
sin_tbl_C = f43
sin_r = f44
sin_rcube = f45
sin_tsq = f46
sin_r7 = f47
sin_t = f48
sin_poly_p2 = f49
sin_poly_p1 = f50
fp_tmp = f51
sin_poly_p3 = f52
sin_poly_p4 = f53
sin_of_r = f54
sin_S_t = f55
sin_poly_q2 = f56
sin_poly_q1 = f57
sin_S_tcube = f58
sin_poly_q3 = f59
sin_poly_q4 = f60
sin_tbl_S_tcube = f61
sin_tbl_S_cos_of_r = f62
sin_coeff_Q5 = f63
sin_coeff_Q6 = f64
sin_coeff_P3 = f65
sin_poly_q5 = f66
sin_poly_q12 = f67
sin_poly_q3456 = f68
fp_tmp2 = f69
SIN_NORM_f8 = f70
#ifdef _LIBC
.rodata
#else
.data
#endif
.align 16
sin_coeff_1_table:
ASM_TYPE_DIRECTIVE(sin_coeff_1_table,@object)
data8 0xBF56C16C16BF6462 // q3
data8 0x3EFA01A0128B9EBC // q4
data8 0xBE927E42FDF33FFE // q5
data8 0x3E21DA5C72A446F3 // q6
data8 0x3EC71DD1D5E421A4 // p4
data8 0xBE5AC5C9D0ACF95A // p5
data8 0xBFC55555555554CA // p1
data8 0x3F811111110F2395 // p2
data8 0xBFE0000000000000 // q1
data8 0x3FA55555555554EF // q2
data8 0xBF2A01A011232913 // p3
data8 0x0000000000000000 // pad
/////////////////////////////////////////
data8 0xBFE1A54991426566 //sin(-32)
data8 0x3FEAB1F5305DE8E5 //cos(-32)
data8 0x3FD9DBC0B640FC81 //sin(-31)
data8 0x3FED4591C3E12A20 //cos(-31)
data8 0x3FEF9DF47F1C903D //sin(-30)
data8 0x3FC3BE82F2505A52 //cos(-30)
data8 0x3FE53C7D20A6C9E7 //sin(-29)
data8 0xBFE7F01658314E47 //cos(-29)
data8 0xBFD156853B4514D6 //sin(-28)
data8 0xBFEECDAAD1582500 //cos(-28)
data8 0xBFEE9AA1B0E5BA30 //sin(-27)
data8 0xBFD2B266F959DED5 //cos(-27)
data8 0xBFE866E0FAC32583 //sin(-26)
data8 0x3FE4B3902691A9ED //cos(-26)
data8 0x3FC0F0E6F31E809D //sin(-25)
data8 0x3FEFB7EEF59504FF //cos(-25)
data8 0x3FECFA7F7919140F //sin(-24)
data8 0x3FDB25BFB50A609A //cos(-24)
data8 0x3FEB143CD0247D02 //sin(-23)
data8 0xBFE10CF7D591F272 //cos(-23)
data8 0x3F8220A29F6EB9F4 //sin(-22)
data8 0xBFEFFFADD8D4ACDA //cos(-22)
data8 0xBFEAC5E20BB0D7ED //sin(-21)
data8 0xBFE186FF83773759 //cos(-21)
data8 0xBFED36D8F55D3CE0 //sin(-20)
data8 0x3FDA1E043964A83F //cos(-20)
data8 0xBFC32F2D28F584CF //sin(-19)
data8 0x3FEFA377DE108258 //cos(-19)
data8 0x3FE8081668131E26 //sin(-18)
data8 0x3FE52150815D2470 //cos(-18)
data8 0x3FEEC3C4AC42882B //sin(-17)
data8 0xBFD19C46B07F58E7 //cos(-17)
data8 0x3FD26D02085F20F8 //sin(-16)
data8 0xBFEEA5257E962F74 //cos(-16)
data8 0xBFE4CF2871CEC2E8 //sin(-15)
data8 0xBFE84F5D069CA4F3 //cos(-15)
data8 0xBFEFB30E327C5E45 //sin(-14)
data8 0x3FC1809AEC2CA0ED //cos(-14)
data8 0xBFDAE4044881C506 //sin(-13)
data8 0x3FED09CDD5260CB7 //cos(-13)
data8 0x3FE12B9AF7D765A5 //sin(-12)
data8 0x3FEB00DA046B65E3 //cos(-12)
data8 0x3FEFFFEB762E93EB //sin(-11)
data8 0x3F7220AE41EE2FDF //cos(-11)
data8 0x3FE1689EF5F34F52 //sin(-10)
data8 0xBFEAD9AC890C6B1F //cos(-10)
data8 0xBFDA6026360C2F91 //sin( -9)
data8 0xBFED27FAA6A6196B //cos( -9)
data8 0xBFEFA8D2A028CF7B //sin( -8)
data8 0xBFC29FBEBF632F94 //cos( -8)
data8 0xBFE50608C26D0A08 //sin( -7)
data8 0x3FE81FF79ED92017 //cos( -7)
data8 0x3FD1E1F18AB0A2C0 //sin( -6)
data8 0x3FEEB9B7097822F5 //cos( -6)
data8 0x3FEEAF81F5E09933 //sin( -5)
data8 0x3FD22785706B4AD9 //cos( -5)
data8 0x3FE837B9DDDC1EAE //sin( -4)
data8 0xBFE4EAA606DB24C1 //cos( -4)
data8 0xBFC210386DB6D55B //sin( -3)
data8 0xBFEFAE04BE85E5D2 //cos( -3)
data8 0xBFED18F6EAD1B446 //sin( -2)
data8 0xBFDAA22657537205 //cos( -2)
data8 0xBFEAED548F090CEE //sin( -1)
data8 0x3FE14A280FB5068C //cos( -1)
data8 0x0000000000000000 //sin( 0)
data8 0x3FF0000000000000 //cos( 0)
data8 0x3FEAED548F090CEE //sin( 1)
data8 0x3FE14A280FB5068C //cos( 1)
data8 0x3FED18F6EAD1B446 //sin( 2)
data8 0xBFDAA22657537205 //cos( 2)
data8 0x3FC210386DB6D55B //sin( 3)
data8 0xBFEFAE04BE85E5D2 //cos( 3)
data8 0xBFE837B9DDDC1EAE //sin( 4)
data8 0xBFE4EAA606DB24C1 //cos( 4)
data8 0xBFEEAF81F5E09933 //sin( 5)
data8 0x3FD22785706B4AD9 //cos( 5)
data8 0xBFD1E1F18AB0A2C0 //sin( 6)
data8 0x3FEEB9B7097822F5 //cos( 6)
data8 0x3FE50608C26D0A08 //sin( 7)
data8 0x3FE81FF79ED92017 //cos( 7)
data8 0x3FEFA8D2A028CF7B //sin( 8)
data8 0xBFC29FBEBF632F94 //cos( 8)
data8 0x3FDA6026360C2F91 //sin( 9)
data8 0xBFED27FAA6A6196B //cos( 9)
data8 0xBFE1689EF5F34F52 //sin( 10)
data8 0xBFEAD9AC890C6B1F //cos( 10)
data8 0xBFEFFFEB762E93EB //sin( 11)
data8 0x3F7220AE41EE2FDF //cos( 11)
data8 0xBFE12B9AF7D765A5 //sin( 12)
data8 0x3FEB00DA046B65E3 //cos( 12)
data8 0x3FDAE4044881C506 //sin( 13)
data8 0x3FED09CDD5260CB7 //cos( 13)
data8 0x3FEFB30E327C5E45 //sin( 14)
data8 0x3FC1809AEC2CA0ED //cos( 14)
data8 0x3FE4CF2871CEC2E8 //sin( 15)
data8 0xBFE84F5D069CA4F3 //cos( 15)
data8 0xBFD26D02085F20F8 //sin( 16)
data8 0xBFEEA5257E962F74 //cos( 16)
data8 0xBFEEC3C4AC42882B //sin( 17)
data8 0xBFD19C46B07F58E7 //cos( 17)
data8 0xBFE8081668131E26 //sin( 18)
data8 0x3FE52150815D2470 //cos( 18)
data8 0x3FC32F2D28F584CF //sin( 19)
data8 0x3FEFA377DE108258 //cos( 19)
data8 0x3FED36D8F55D3CE0 //sin( 20)
data8 0x3FDA1E043964A83F //cos( 20)
data8 0x3FEAC5E20BB0D7ED //sin( 21)
data8 0xBFE186FF83773759 //cos( 21)
data8 0xBF8220A29F6EB9F4 //sin( 22)
data8 0xBFEFFFADD8D4ACDA //cos( 22)
data8 0xBFEB143CD0247D02 //sin( 23)
data8 0xBFE10CF7D591F272 //cos( 23)
data8 0xBFECFA7F7919140F //sin( 24)
data8 0x3FDB25BFB50A609A //cos( 24)
data8 0xBFC0F0E6F31E809D //sin( 25)
data8 0x3FEFB7EEF59504FF //cos( 25)
data8 0x3FE866E0FAC32583 //sin( 26)
data8 0x3FE4B3902691A9ED //cos( 26)
data8 0x3FEE9AA1B0E5BA30 //sin( 27)
data8 0xBFD2B266F959DED5 //cos( 27)
data8 0x3FD156853B4514D6 //sin( 28)
data8 0xBFEECDAAD1582500 //cos( 28)
data8 0xBFE53C7D20A6C9E7 //sin( 29)
data8 0xBFE7F01658314E47 //cos( 29)
data8 0xBFEF9DF47F1C903D //sin( 30)
data8 0x3FC3BE82F2505A52 //cos( 30)
data8 0xBFD9DBC0B640FC81 //sin( 31)
data8 0x3FED4591C3E12A20 //cos( 31)
data8 0x3FE1A54991426566 //sin( 32)
data8 0x3FEAB1F5305DE8E5 //cos( 32)
ASM_SIZE_DIRECTIVE(sin_coeff_1_table)
//////////////////////////////////////////
.global sinf
.global cosf
#ifdef _LIBC
.global __sinf
.global __cosf
#endif
.text
.proc cosf
#ifdef _LIBC
.proc __cosf
#endif
.align 32
cosf:
#ifdef _LIBC
__cosf:
#endif
{ .mfi
alloc r32 = ar.pfs,1,7,0,0
fcvt.fx.s1 sin_Mx = f8
cmp.ne p6,p7 = r0,r0 // p7 set if cos
}
{ .mfi
addl SIN_AD_PQ_1 = @ltoff(sin_coeff_1_table),gp
fnorm.s0 SIN_NORM_f8 = f8 // Sets denormal or invalid
mov sin_GR_sincos_flag = 0x0
}
;;
{ .mfi
ld8 SIN_AD_PQ_1 = [SIN_AD_PQ_1]
fclass.m.unc p9,p0 = f8, 0x07
cmp.ne p8,p0 = r0,r0
}
{ .mfb
nop.m 999
nop.f 999
br.sptk L(SINCOSF_COMMON)
}
;;
.endp cosf
ASM_SIZE_DIRECTIVE(cosf)
.text
.proc sinf
#ifdef _LIBC
.proc __sinf
#endif
.align 32
sinf:
#ifdef _LIBC
__sinf:
#endif
{ .mfi
alloc r32 = ar.pfs,1,7,0,0
fcvt.fx.s1 sin_Mx = f8
cmp.eq p6,p7 = r0,r0 // p6 set if sin
}
{ .mfi
addl SIN_AD_PQ_1 = @ltoff(sin_coeff_1_table),gp
fnorm.s0 SIN_NORM_f8 = f8 // Sets denormal or invalid
mov sin_GR_sincos_flag = 0x1
}
;;
{ .mfi
ld8 SIN_AD_PQ_1 = [SIN_AD_PQ_1]
fclass.m.unc p8,p0 = f8, 0x07
cmp.ne p9,p0 = r0,r0
}
{ .mfb
nop.m 999
nop.f 999
br.sptk L(SINCOSF_COMMON)
}
;;
L(SINCOSF_COMMON):
// Here with p6 if sin, p7 if cos, p8 if sin(0), p9 if cos(0)
{ .mmf
ldfpd sin_coeff_Q3, sin_coeff_Q4 = [SIN_AD_PQ_1], 16
nop.m 999
fclass.m.unc p11,p0 = f8, 0x23 // Test for x=inf
}
;;
{ .mfb
ldfpd sin_coeff_Q5, sin_coeff_Q6 = [SIN_AD_PQ_1], 16
fclass.m.unc p10,p0 = f8, 0xc3 // Test for x=nan
(p8) br.ret.spnt b0 // Exit for sin(0)
}
{ .mfb
nop.m 999
(p9) fma.s f8 = f1,f1,f0
(p9) br.ret.spnt b0 // Exit for cos(0)
}
;;
{ .mmf
ldfpd sin_coeff_P4, sin_coeff_P5 = [SIN_AD_PQ_1], 16
addl gr_tmp = -1,r0
fcvt.xf sin_Mfloat = sin_Mx
}
;;
{ .mfi
getf.sig sin_GR_Mint = sin_Mx
(p11) frcpa.s0 f8,p13 = f0,f0 // qnan indef if x=inf
nop.i 999
}
{ .mfb
ldfpd sin_coeff_P1, sin_coeff_P2 = [SIN_AD_PQ_1], 16
nop.f 999
(p11) br.ret.spnt b0 // Exit for x=inf
}
;;
{ .mfi
ldfpd sin_coeff_Q1, sin_coeff_Q2 = [SIN_AD_PQ_1], 16
nop.f 999
cmp.ge p8,p9 = -33,sin_GR_Mint
}
{ .mfb
add sin_GR_index = 32,sin_GR_Mint
(p10) fma.s f8 = f8,f1,f0 // Force qnan if x=nan
(p10) br.ret.spnt b0 // Exit for x=nan
}
;;
{ .mmi
ldfd sin_coeff_P3 = [SIN_AD_PQ_1], 16
(p9) cmp.le p8,p0 = 33, sin_GR_Mint
shl sin_GR_index = sin_GR_index,4
}
;;
{ .mfi
setf.sig fp_tmp = gr_tmp // Create constant such that fmpy sets inexact
fnma.s1 sin_r = f1,sin_Mfloat,SIN_NORM_f8
(p8) cmp.eq.unc p11,p12=sin_GR_sincos_flag,r0 // p11 if must call dbl cos
// p12 if must call dbl sin
}
{ .mbb
add SIN_AD_PQ_2 = sin_GR_index,SIN_AD_PQ_1
(p11) br.cond.spnt COS_DOUBLE
(p12) br.cond.spnt SIN_DOUBLE
}
;;
.pred.rel "mutex",p6,p7 //SIN_Sin_Flag, SIN_Cos_Flag
{ .mmi
(p6) ldfpd sin_tbl_S,sin_tbl_C = [SIN_AD_PQ_2]
(p7) ldfpd sin_tbl_C,sin_tbl_S = [SIN_AD_PQ_2]
nop.i 999
}
;;
{ .mfi
nop.m 999
(p6) fclass.m.unc p8,p0 = f8, 0x0b // If sin, note denormal input to set uflow
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 sin_t = sin_r,sin_r,f0
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.s1 sin_rcube = sin_t,sin_r,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 sin_tsq = sin_t,sin_t,f0
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.s1 sin_poly_q3 = sin_t,sin_coeff_Q4,sin_coeff_Q3
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 sin_poly_q5 = sin_t,sin_coeff_Q6,sin_coeff_Q5
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.s1 sin_poly_p1 = sin_t,sin_coeff_P5,sin_coeff_P4
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 sin_poly_p2 = sin_t,sin_coeff_P2,sin_coeff_P1
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.s1 sin_poly_q1 = sin_t,sin_coeff_Q2,sin_coeff_Q1
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 sin_S_t = sin_t,sin_tbl_S,f0
nop.i 999
}
;;
{ .mfi
nop.m 999
(p8) fmpy.s.s0 fp_tmp2 = f8,f8 // Dummy mult to set underflow if sin(denormal)
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 sin_r7 = sin_rcube,sin_tsq,f0
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.s1 sin_poly_q3456 = sin_tsq,sin_poly_q5,sin_poly_q3
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.s1 sin_poly_p3 = sin_t,sin_poly_p1,sin_coeff_P3
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 sin_poly_p4 = sin_rcube,sin_poly_p2,sin_r
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.s1 sin_tbl_S_tcube = sin_S_t,sin_tsq,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 sin_poly_q12 = sin_S_t,sin_poly_q1,sin_tbl_S
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.d.s1 sin_of_r = sin_r7,sin_poly_p3,sin_poly_p4
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.d.s1 sin_tbl_S_cos_of_r = sin_tbl_S_tcube,sin_poly_q3456,sin_poly_q12
nop.i 999
}
{ .mfi
nop.m 999
fmpy.s0 fp_tmp = fp_tmp, fp_tmp // Dummy mult to set inexact
nop.i 999
}
;;
.pred.rel "mutex",p6,p7 //SIN_Sin_Flag, SIN_Cos_Flag
{ .mfi
nop.m 999
//(SIN_Sin_Flag) fma.s f8 = sin_tbl_C,sin_of_r,sin_tbl_S_cos_of_r
(p6) fma.s f8 = sin_tbl_C,sin_of_r,sin_tbl_S_cos_of_r
nop.i 999
}
{ .mfb
nop.m 999
//(SIN_Cos_Flag) fnma.s f8 = sin_tbl_C,sin_of_r,sin_tbl_S_cos_of_r
(p7) fnma.s f8 = sin_tbl_C,sin_of_r,sin_tbl_S_cos_of_r
br.ret.sptk b0
}
.endp sinf
ASM_SIZE_DIRECTIVE(sinf)
.proc SIN_DOUBLE
SIN_DOUBLE:
.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
{ .mmb
nop.m 999
nop.m 999
br.call.sptk.many b0=sin
}
;;
{ .mfi
mov gp = GR_SAVE_GP
nop.f 999
mov b0 = GR_SAVE_B0
}
;;
{ .mfi
nop.m 999
fma.s f8 = f8,f1,f0
(p0) mov ar.pfs = GR_SAVE_PFS
}
{ .mib
nop.m 999
nop.i 999
(p0) br.ret.sptk b0
}
;;
.endp SIN_DOUBLE
ASM_SIZE_DIRECTIVE(SIN_DOUBLE)
.proc COS_DOUBLE
COS_DOUBLE:
.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
{ .mmb
nop.m 999
nop.m 999
br.call.sptk.many b0=cos
}
;;
{ .mfi
mov gp = GR_SAVE_GP
nop.f 999
mov b0 = GR_SAVE_B0
}
;;
{ .mfi
nop.m 999
fma.s f8 = f8,f1,f0
(p0) mov ar.pfs = GR_SAVE_PFS
}
{ .mib
nop.m 999
nop.i 999
(p0) br.ret.sptk b0
}
;;
.endp COS_DOUBLE
ASM_SIZE_DIRECTIVE(COS_DOUBLE)
.type sin,@function
.global sin
.type cos,@function
.global cos