.file "atanf.s"
// Copyright (c) 2000 - 2003, Intel Corporation
// All rights reserved.
//
// Contributed 2000 by the Intel Numerics Group, Intel Corporation
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// * The name of Intel Corporation may not be used to endorse or promote
// products derived from this software without specific prior written
// permission.
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Intel Corporation is the author of this code, and requests that all
// problem reports or change requests be submitted to it directly at
// http://www.intel.com/software/products/opensource/libraries/num.htm.
// History
//==============================================================
// 02/20/00 Initial version
// 08/17/00 Changed predicate register macro-usage to direct predicate
// names due to an assembler bug.
// 02/06/02 Corrected .section statement
// 05/20/02 Cleaned up namespace and sf0 syntax
// 02/06/03 Reordered header: .section, .global, .proc, .align;
// added missing bundling
//
// Assembly macros
//==============================================================
// integer registers used
EXP_Addr1 = r33
EXP_Addr2 = r34
// floating point registers used
atanf_coeff_R4 = f32
atanf_coeff_R5 = f33
atanf_coeff_R1 = f34
atanf_coeff_R2 = f35
atanf_coeff_R3 = f36
atanf_coeff_P1 = f37
atanf_coeff_Q6 = f38
atanf_coeff_Q7 = f39
atanf_coeff_Q8 = f40
atanf_coeff_Q9 = f41
atanf_coeff_Q4 = f42
atanf_coeff_Q5 = f43
atanf_coeff_Q2 = f44
atanf_coeff_Q3 = f45
atanf_coeff_P5 = f46
atanf_coeff_P6 = f47
atanf_coeff_Q0 = f48
atanf_coeff_Q1 = f49
atanf_coeff_P7 = f50
atanf_coeff_P8 = f51
atanf_coeff_P3 = f52
atanf_coeff_P4 = f53
atanf_coeff_P9 = f54
atanf_coeff_P10 = f55
atanf_coeff_P2 = f56
atanf_piby2 = f57
atanf_z = f58
atanf_b = f59
atanf_zsq = f60
atanf_sgn_x = f61
atanf_sgnx_piby2 = f62
atanf_abs_x = f63
atanf_t = f64
atanf_xcub = f65
atanf_tsq = f66
atanf_t4 = f67
atanf_x5 = f68
atanf_x6 = f69
atanf_x11 = f70
atanf_poly_p1 = f71
atanf_poly_p2 = f72
atanf_poly_p3 = f73
atanf_poly_p4 = f74
atanf_poly_p5 = f75
atanf_poly_q1 = f76
atanf_poly_q2 = f77
atanf_poly_q3 = f78
atanf_poly_q4 = f79
atanf_poly_q5 = f80
atanf_poly_q = f81
atanf_poly_r1 = f81
atanf_poly_r2 = f82
atanf_poly_r3 = f83
atanf_bsq = f84
atanf_z4 = f85
atanf_z5 = f86
atanf_z8 = f87
atanf_z13 = f88
atanf_poly_r2 = f89
atanf_poly_r1 = f90
atanf_z8_bsq = f91
atanf_poly_r = f92
atanf_z21_poly_r = f93
atanf_answer = f8
// predicate registers used
//atanf_pred_LE1 = p6
//atanf_pred_GT1 = p7
RODATA
.align 16
LOCAL_OBJECT_START(atanf_coeff_1_table)
data8 0x40c4c241be751ff2 // r4
data8 0x40e9f300c2f3070b // r5
data8 0x409babffef772075 // r3
data8 0xbfd5555512191621 // p1
data8 0x3fc9997e7afbff4e // p2 = q8
data8 0xbfd5555512191621 // p1 = q9
data8 0x3f97105b4160f86b // p8 = q2
data8 0xbfa6e10ba401393f // p7 = q3
data8 0x3f522e5d33bc9baa // p10 = q0
data8 0xbf7deaadaa336451 // p9 = q1
data8 0xbfc2473c5145ee38 // p3
data8 0x3fbc4f512b1865f5 // p4
data8 0x3fc9997e7afbff4e // p2
data8 0x3ff921fb54442d18 // pi/2
LOCAL_OBJECT_END(atanf_coeff_1_table)
LOCAL_OBJECT_START(atanf_coeff_2_table)
data8 0x4035000000004284 // r1
data8 0x406cdffff336a59b // r2
data8 0x3fbc4f512b1865f5 // p4 = q6
data8 0xbfc2473c5145ee38 // p3 = q7
data8 0x3fb142a73d7c54e3 // p6 = q4
data8 0xbfb68eed6a8cfa32 // p5 = q5
data8 0xbfb68eed6a8cfa32 // p5
data8 0x3fb142a73d7c54e3 // p6
data8 0xbfa6e10ba401393f // p7
data8 0x3f97105b4160f86b // p8
data8 0xbf7deaadaa336451 // p9
data8 0x3f522e5d33bc9baa // p10
LOCAL_OBJECT_END(atanf_coeff_2_table)
.section .text
GLOBAL_LIBM_ENTRY(atanf)
{ .mfi
alloc r32 = ar.pfs,1,2,0,0
frcpa.s1 atanf_z,p0 = f1,f8
addl EXP_Addr2 = @ltoff(atanf_coeff_2_table),gp
}
{ .mfi
addl EXP_Addr1 = @ltoff(atanf_coeff_1_table),gp
fma.s1 atanf_t = f8,f8,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fmerge.s atanf_sgn_x = f8,f1
nop.i 999;;
}
{ .mfi
ld8 EXP_Addr1 = [EXP_Addr1]
fmerge.s atanf_abs_x = f1,f8
nop.i 999
}
{ .mfi
ld8 EXP_Addr2 = [EXP_Addr2]
nop.f 999
nop.i 999;;
}
{ .mfi
nop.m 999
fclass.m p8,p0 = f8,0x7 // @zero
nop.i 999;;
}
{ .mfi
nop.m 999
fcmp.eq.unc.s0 p9,p10 = f8,f1
nop.i 999;;
}
{ .mfi
ldfpd atanf_coeff_R4,atanf_coeff_R5 = [EXP_Addr1],16
fnma.s1 atanf_b = f8,atanf_z,f1
nop.i 999
}
{ .mfi
ldfpd atanf_coeff_R1,atanf_coeff_R2 = [EXP_Addr2],16
fma.s1 atanf_zsq = atanf_z,atanf_z,f0
nop.i 999;;
}
{ .mfi
ldfpd atanf_coeff_R3,atanf_coeff_P1 = [EXP_Addr1],16
fma.s1 atanf_xcub = f8,atanf_t,f0
nop.i 999
}
{ .mfi
ldfpd atanf_coeff_Q6,atanf_coeff_Q7 = [EXP_Addr2],16
fma.s1 atanf_tsq = atanf_t,atanf_t,f0
nop.i 999;;
}
{ .mfi
ldfpd atanf_coeff_Q8,atanf_coeff_Q9 = [EXP_Addr1],16
// fcmp.le.s1 atanf_pred_LE1,atanf_pred_GT1 = atanf_abs_x,f1
fcmp.le.s1 p6,p7 = atanf_abs_x,f1
nop.i 999
}
{ .mfi
ldfpd atanf_coeff_Q4,atanf_coeff_Q5 = [EXP_Addr2],16
nop.f 999
nop.i 999;;
}
{ .mfi
ldfpd atanf_coeff_Q2,atanf_coeff_Q3 = [EXP_Addr1],16
fclass.m p8,p0 = f8,0xe7 // @inf|@qnan|@snan|@zero
nop.i 999
}
{ .mfi
ldfpd atanf_coeff_P5,atanf_coeff_P6 = [EXP_Addr2],16
nop.f 999
nop.i 999;;
}
{ .mfi
ldfpd atanf_coeff_Q0,atanf_coeff_Q1 = [EXP_Addr1],16
nop.f 999
nop.i 999
}
{ .mfi
ldfpd atanf_coeff_P7,atanf_coeff_P8 = [EXP_Addr2],16
nop.f 999
nop.i 999;;
}
{ .mfi
ldfpd atanf_coeff_P3,atanf_coeff_P4 = [EXP_Addr1],16
fma.s1 atanf_bsq = atanf_b,atanf_b,f0
nop.i 999
}
{ .mfi
ldfpd atanf_coeff_P9,atanf_coeff_P10 = [EXP_Addr2]
fma.s1 atanf_z4 = atanf_zsq,atanf_zsq,f0
nop.i 999;;
}
{ .mfi
ldfpd atanf_coeff_P2,atanf_piby2 = [EXP_Addr1]
fma.s1 atanf_x6 = atanf_t,atanf_tsq,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_t4 = atanf_tsq,atanf_tsq,f0
nop.i 999;;
}
{ .mfb
nop.m 999
fma.s1 atanf_x5 = atanf_t,atanf_xcub,f0
(p8) br.cond.spnt ATANF_X_INF_NAN_ZERO
}
;;
{ .mfi
nop.m 999
fma.s1 atanf_poly_r1 = atanf_b,atanf_coeff_R1,f1
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_r3 = atanf_b,atanf_coeff_R5,atanf_coeff_R4
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_r2 = atanf_b,atanf_coeff_R3,atanf_coeff_R2
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_z8 = atanf_z4,atanf_z4,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q2 = atanf_t,atanf_coeff_Q5,atanf_coeff_Q4
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q3 = atanf_t,atanf_coeff_Q7,atanf_coeff_Q6
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_z5 = atanf_z,atanf_z4,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q1 = atanf_t,atanf_coeff_Q9,atanf_coeff_Q8
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q4 = atanf_t,atanf_coeff_Q1,atanf_coeff_Q0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q5 = atanf_t,atanf_coeff_Q3,atanf_coeff_Q2
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p4 = f8,atanf_coeff_P1,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p5 = atanf_t,atanf_coeff_P4,atanf_coeff_P3
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_r1 = atanf_z8,atanf_poly_r1,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_z8_bsq = atanf_z8,atanf_bsq,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q2 = atanf_tsq,atanf_poly_q3,atanf_poly_q2
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_r2 = atanf_bsq,atanf_poly_r3,atanf_poly_r2
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p2 = atanf_t,atanf_coeff_P8,atanf_coeff_P7
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q1 = atanf_poly_q1,f1,atanf_tsq
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_z13 = atanf_z5,atanf_z8,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p1 = atanf_t,atanf_coeff_P10,atanf_coeff_P9
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p4 = atanf_t,atanf_poly_p4,f8
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q4 = atanf_tsq,atanf_poly_q5,atanf_poly_q4
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p3 = atanf_t,atanf_coeff_P6,atanf_coeff_P5
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p5 = atanf_t,atanf_poly_p5,atanf_coeff_P2
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_x11 = atanf_x5,atanf_x6,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_r = atanf_z8_bsq,atanf_poly_r2,atanf_poly_r1
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s0 atanf_sgnx_piby2 = atanf_sgn_x,atanf_piby2,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q2 = atanf_t4,atanf_poly_q1,atanf_poly_q2
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p1 = atanf_tsq,atanf_poly_p1,atanf_poly_p2
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p4 = atanf_x5,atanf_poly_p5,atanf_poly_p4
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_z21_poly_r = atanf_z13,atanf_poly_r,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_q = atanf_t4,atanf_poly_q2,atanf_poly_q4
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 atanf_poly_p1 = atanf_tsq,atanf_poly_p1,atanf_poly_p3
nop.i 999;;
}
{ .mfi
nop.m 999
//(atanf_pred_GT1) fnma.s atanf_answer = atanf_poly_q,atanf_z21_poly_r,atanf_sgnx_piby2
(p7) fnma.s.s0 atanf_answer = atanf_poly_q,atanf_z21_poly_r,atanf_sgnx_piby2
nop.i 999;;
}
{ .mfb
nop.m 999
//(atanf_pred_LE1) fma.s atanf_answer = atanf_x11,atanf_poly_p1,atanf_poly_p4
(p6) fma.s.s0 atanf_answer = atanf_x11,atanf_poly_p1,atanf_poly_p4
br.ret.sptk b0
}
ATANF_X_INF_NAN_ZERO:
{ .mfi
nop.m 0
fclass.m p8,p9 = f8,0x23 // @inf
nop.i 0
}
;;
{ .mfi
nop.m 0
(p8) fmerge.s f8 = f8, atanf_piby2
nop.i 0
}
;;
{ .mfb
nop.m 0
fnorm.s.s0 f8 = f8
br.ret.sptk b0
}
;;
GLOBAL_LIBM_END(atanf)
libm_alias_float_other (atan, atan)