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-.file "atan2.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
-//==============================================================
-// 02/02/00 Initial version
-// 04/04/00 Unwind support added
-// 08/15/00 Bundle added after call to __libm_error_support to properly
-// set [the previously overwritten] GR_Parameter_RESULT.
-// 08/17/00 Changed predicate register macro-usage to direct predicate
-// names due to an assembler bug.
-// 09/28/00 Updated to set invalid on SNaN inputs
-// 01/19/01 Fixed flags for small results
-// 04/13/01 Rescheduled to make all paths faster
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 08/20/02 Corrected inexact flag and directed rounding symmetry bugs
-// 02/06/03 Reordered header: .section, .global, .proc, .align
-// 04/17/03 Added missing mutex directive
-// 12/23/03 atan2(NaN1,NaN2) now QNaN1, for consistency with atan2f, atan2l
-//
-// API
-//==============================================================
-// double atan2(double Y, double X)
-//
-// Overview of operation
-//==============================================================
-//
-// The atan2 function returns values in the interval [-pi,+pi].
-//
-// There are two basic paths: swap true and swap false.
-// atan2(Y,X) ==> atan2(V/U) where U >= V. If Y > X, we must swap.
-//
-// p6 swap True |Y| > |X|
-// p7 swap False |Y| <= |X|
-// p8 X+ (If swap=True p8=p9=0)
-// p9 X-
-//
-// all the other predicates p10 thru p15 are false for the main path
-//
-// Simple trigonometric identities show
-// Region 1 (-45 to +45 degrees):
-// X>0, |Y|<=X, V=Y, U=X atan2(Y,X) = sgnY * (0 + atan(V/U))
-//
-// Region 2 (-90 to -45 degrees, and +45 to +90 degrees):
-// X>0, |Y|>X, V=X, U=Y atan2(Y,X) = sgnY * (pi/2 - atan(V/U))
-//
-// Region 3 (-135 to -90 degrees, and +90 to +135 degrees):
-// X<0, |Y|>X, V=X, U=Y atan2(Y,X) = sgnY * (pi/2 + atan(V/U))
-//
-// Region 4 (-180 to -135 degrees, and +135 to +180 degrees):
-// X<0, |Y|<=X, V=Y, U=X atan2(Y,X) = sgnY * (pi - atan(V/U))
-//
-// So the result is always of the form atan2(Y,X) = P + sgnXY * atan(V/U)
-//
-// We compute atan(V/U) from the identity
-// atan(z) + atan([(V/U)-z] / [1+(V/U)z])
-// where z is a limited precision approximation (16 bits) to V/U
-//
-// z is calculated with the assistance of the frcpa instruction.
-//
-// atan(z) is calculated by a polynomial z + z^3 * p(w), w=z^2
-// where p(w) = P0+P1*w+...+P22*w^22
-//
-// Let d = [(V/U)-z] / [1+(V/U)z]) = (V-U*z)/(U+V*z)
-//
-// Approximate atan(d) by d + P0*d^3
-// Let F = 1/(U+V*z) * (1-a), where |a|< 2^-8.8.
-// Compute q(a) = 1 + a + ... + a^5.
-// Then F*q(a) approximates the reciprocal to more than 50 bits.
-
-// Special values
-//==============================================================
-// Y x Result
-// +number +inf +0
-// -number +inf -0
-// +number -inf +pi
-// -number -inf -pi
-//
-// +inf +number +pi/2
-// -inf +number -pi/2
-// +inf -number +pi/2
-// -inf -number -pi/2
-//
-// +inf +inf +pi/4
-// -inf +inf -pi/4
-// +inf -inf +3pi/4
-// -inf -inf -3pi/4
-//
-// +1 +1 +pi/4
-// -1 +1 -pi/4
-// +1 -1 +3pi/4
-// -1 -1 -3pi/4
-//
-// +number +0 +pi/2
-// -number +0 -pi/2
-// +number -0 +pi/2
-// -number -0 -pi/2
-//
-// +0 +number +0
-// -0 +number -0
-// +0 -number +pi
-// -0 -number -pi
-//
-// +0 +0 +0
-// -0 +0 -0
-// +0 -0 +pi
-// -0 -0 -pi
-//
-// Nan anything quiet Y
-// Not NaN NaN quiet X
-
-// atan2(+-0/+-0) sets double error tag to 37
-
-// Registers used
-//==============================================================
-
-// predicate registers used:
-// p6 -> p15
-
-// floating-point registers used:
-// f8, f9 input
-// f32 -> f119
-
-// general registers used
-// r32 -> r41
-
-// Assembly macros
-//==============================================================
-
-EXP_AD_P1 = r33
-EXP_AD_P2 = r34
-rsig_near_one = r35
-
-
-GR_SAVE_B0 = r35
-GR_SAVE_GP = r36
-GR_SAVE_PFS = r37
-
-GR_Parameter_X = r38
-GR_Parameter_Y = r39
-GR_Parameter_RESULT = r40
-atan2_GR_tag = r41
-
-atan2_Y = f8
-atan2_X = f9
-
-atan2_u1_X = f32
-atan2_u1_Y = f33
-atan2_z2_X = f34
-atan2_z2_Y = f35
-
-atan2_two = f36
-atan2_B1sq_Y = f37
-atan2_z1_X = f38
-atan2_z1_Y = f39
-atan2_B1X = f40
-
-atan2_B1Y = f41
-atan2_wp_X = f42
-atan2_B1sq_X = f43
-atan2_z = f44
-atan2_w = f45
-
-atan2_P0 = f46
-atan2_P1 = f47
-atan2_P2 = f48
-atan2_P3 = f49
-atan2_P4 = f50
-
-atan2_P5 = f51
-atan2_P6 = f52
-atan2_P7 = f53
-atan2_P8 = f54
-atan2_P9 = f55
-
-atan2_P10 = f56
-atan2_P11 = f57
-atan2_P12 = f58
-atan2_P13 = f59
-atan2_P14 = f60
-
-atan2_P15 = f61
-atan2_P16 = f62
-atan2_P17 = f63
-atan2_P18 = f64
-atan2_P19 = f65
-
-atan2_P20 = f66
-atan2_P21 = f67
-atan2_P22 = f68
-atan2_tmp = f68
-atan2_pi_by_2 = f69
-atan2_sgn_pi_by_2 = f69
-atan2_V13 = f70
-
-atan2_W11 = f71
-atan2_E = f72
-atan2_wp_Y = f73
-atan2_V11 = f74
-atan2_V12 = f75
-
-atan2_V7 = f76
-atan2_V8 = f77
-atan2_W7 = f78
-atan2_W8 = f79
-atan2_W3 = f80
-
-atan2_W4 = f81
-atan2_V3 = f82
-atan2_V4 = f83
-atan2_F = f84
-atan2_gV = f85
-
-atan2_V10 = f86
-atan2_zcub = f87
-atan2_V6 = f88
-atan2_V9 = f89
-atan2_W10 = f90
-
-atan2_W6 = f91
-atan2_W2 = f92
-atan2_V2 = f93
-atan2_alpha = f94
-atan2_alpha_1 = f95
-
-atan2_gVF = f96
-atan2_V5 = f97
-atan2_W12 = f98
-atan2_W5 = f99
-atan2_alpha_sq = f100
-
-atan2_Cp = f101
-atan2_V1 = f102
-atan2_ysq = f103
-atan2_W1 = f104
-atan2_alpha_cub = f105
-
-atan2_C = f106
-atan2_xsq = f107
-atan2_d = f108
-atan2_A_hi = f109
-atan2_dsq = f110
-
-atan2_pd = f111
-atan2_A_lo = f112
-atan2_A = f113
-atan2_Pp = f114
-atan2_sgnY = f115
-
-atan2_sig_near_one = f116
-atan2_near_one = f116
-atan2_pi = f117
-atan2_sgn_pi = f117
-atan2_3pi_by_4 = f118
-atan2_pi_by_4 = f119
-
-
-/////////////////////////////////////////////////////////////
-
-
-RODATA
-
-.align 16
-
-LOCAL_OBJECT_START(atan2_tb1)
-data8 0xA21922DC45605EA1 , 0x00003FFA // P11
-data8 0xB199DD6D2675C40F , 0x0000BFFA // P10
-data8 0xC2F01E5DDD100DBE , 0x00003FFA // P9
-data8 0xD78F28FC2A592781 , 0x0000BFFA // P8
-data8 0xF0F03ADB3FC930D3 , 0x00003FFA // P7
-data8 0x88887EBB209E3543 , 0x0000BFFB // P6
-data8 0x9D89D7D55C3287A5 , 0x00003FFB // P5
-data8 0xBA2E8B9793955C77 , 0x0000BFFB // P4
-data8 0xE38E38E320A8A098 , 0x00003FFB // P3
-data8 0x9249249247E37913 , 0x0000BFFC // P2
-data8 0xCCCCCCCCCCC906CD , 0x00003FFC // P1
-data8 0xAAAAAAAAAAAAA8A9 , 0x0000BFFD // P0
-data8 0xC90FDAA22168C235 , 0x00004000 // pi
-LOCAL_OBJECT_END(atan2_tb1)
-
-LOCAL_OBJECT_START(atan2_tb2)
-data8 0xCE585A259BD8374C , 0x00003FF0 // P21
-data8 0x9F90FB984D8E39D0 , 0x0000BFF3 // P20
-data8 0x9D3436AABE218776 , 0x00003FF5 // P19
-data8 0xDEC343E068A6D2A8 , 0x0000BFF6 // P18
-data8 0xF396268151CFB11C , 0x00003FF7 // P17
-data8 0xD818B4BB43D84BF2 , 0x0000BFF8 // P16
-data8 0xA2270D30A90AA220 , 0x00003FF9 // P15
-data8 0xD5F4F2182E7A8725 , 0x0000BFF9 // P14
-data8 0x80D601879218B53A , 0x00003FFA // P13
-data8 0x9297B23CCFFB291F , 0x0000BFFA // P12
-data8 0xFE7E52D2A89995B3 , 0x0000BFEC // P22
-data8 0xC90FDAA22168C235 , 0x00003FFF // pi/2
-data8 0xC90FDAA22168C235 , 0x00003FFE // pi/4
-data8 0x96cbe3f9990e91a8 , 0x00004000 // 3pi/4
-LOCAL_OBJECT_END(atan2_tb2)
-
-
-
-
-.section .text
-GLOBAL_IEEE754_ENTRY(atan2)
-
-{ .mfi
- alloc r32 = ar.pfs,1,5,4,0
- frcpa.s1 atan2_u1_X,p6 = f1,atan2_X
- nop.i 999
-}
-{ .mfi
- addl EXP_AD_P1 = @ltoff(atan2_tb1), gp
- fma.s1 atan2_two = f1,f1,f1
- nop.i 999
-;;
-}
-
-{ .mfi
- ld8 EXP_AD_P1 = [EXP_AD_P1]
- frcpa.s1 atan2_u1_Y,p7 = f1,atan2_Y
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_xsq = atan2_X,atan2_X,f0
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fclass.m p10,p0 = atan2_Y, 0xc3 // Test for y=nan
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_ysq = atan2_Y,atan2_Y,f0
- nop.i 999
-}
-;;
-
-{ .mfi
- add EXP_AD_P2 = 0xd0,EXP_AD_P1
- fclass.m p12,p0 = atan2_X, 0xc3 // Test for x nan
- nop.i 999
-}
-;;
-
-
-// p10 Y NAN, quiet and return
-{ .mfi
- ldfe atan2_P11 = [EXP_AD_P1],16
- fmerge.s atan2_sgnY = atan2_Y,f1
- nop.i 999
-}
-{ .mfb
- ldfe atan2_P21 = [EXP_AD_P2],16
-(p10) fma.d.s0 f8 = atan2_X,atan2_Y,f0 // If y=nan, result quietized y
-(p10) br.ret.spnt b0 // Exit if y=nan
-;;
-}
-
-
-{ .mfi
- ldfe atan2_P10 = [EXP_AD_P1],16
- fma.s1 atan2_z1_X = atan2_u1_X, atan2_Y, f0
- nop.i 999
-}
-{ .mfi
- ldfe atan2_P20 = [EXP_AD_P2],16
- fnma.s1 atan2_B1X = atan2_u1_X, atan2_X, atan2_two
- nop.i 999
-;;
-}
-
-{ .mfi
- ldfe atan2_P9 = [EXP_AD_P1],16
- fma.s1 atan2_z1_Y = atan2_u1_Y, atan2_X, f0
- nop.i 999
-}
-{ .mfi
- ldfe atan2_P19 = [EXP_AD_P2],16
- fnma.s1 atan2_B1Y = atan2_u1_Y, atan2_Y, atan2_two
- nop.i 999
-}
-;;
-
-{ .mfi
- ldfe atan2_P8 = [EXP_AD_P1],16
- fma.s1 atan2_z2_X = atan2_u1_X, atan2_ysq, f0
- nop.i 999
-}
-{ .mfi
- ldfe atan2_P18 = [EXP_AD_P2],16
- fma.s1 atan2_z2_Y = atan2_u1_Y, atan2_xsq, f0
- nop.i 999
-}
-;;
-
-// p10 ==> x inf y ?
-// p11 ==> x !inf y ?
-{ .mfi
- ldfe atan2_P7 = [EXP_AD_P1],16
- fclass.m p10,p11 = atan2_X, 0x23 // test for x inf
- nop.i 999
-}
-{ .mfb
- ldfe atan2_P17 = [EXP_AD_P2],16
-(p12) fma.d.s0 f8 = atan2_X,atan2_Y,f0 // If x nan, result quiet x
-(p12) br.ret.spnt b0 // Exit for x nan
-;;
-}
-
-// p6 true if swap, means |y| > |x| or ysq > xsq
-// p7 true if no swap, means |x| >= |y| or xsq >= ysq
-{ .mmf
- ldfe atan2_P6 = [EXP_AD_P1],16
- ldfe atan2_P16 = [EXP_AD_P2],16
- fcmp.ge.s1 p7,p6 = atan2_xsq, atan2_ysq
-;;
-}
-
-{ .mfi
- ldfe atan2_P5 = [EXP_AD_P1],16
- fma.s1 atan2_wp_X = atan2_z1_X, atan2_z1_X, f0
- nop.i 999
-}
-{ .mfi
- ldfe atan2_P15 = [EXP_AD_P2],16
- fma.s1 atan2_B1sq_X = atan2_B1X, atan2_B1X, f0
- nop.i 999
-;;
-}
-
-{ .mfi
- ldfe atan2_P4 = [EXP_AD_P1],16
-(p6) fma.s1 atan2_wp_Y = atan2_z1_Y, atan2_z1_Y, f0
- nop.i 999
-}
-{ .mfi
- ldfe atan2_P14 = [EXP_AD_P2],16
-(p6) fma.s1 atan2_B1sq_Y = atan2_B1Y, atan2_B1Y, f0
- nop.i 999
-;;
-}
-
-{ .mfi
- ldfe atan2_P3 = [EXP_AD_P1],16
-(p6) fma.s1 atan2_E = atan2_z2_Y, atan2_B1Y, atan2_Y
- nop.i 999
-}
-{ .mfi
- ldfe atan2_P13 = [EXP_AD_P2],16
-(p7) fma.s1 atan2_E = atan2_z2_X, atan2_B1X, atan2_X
- nop.i 999
-;;
-}
-
-
-{ .mfi
- ldfe atan2_P2 = [EXP_AD_P1],16
-(p6) fma.s1 atan2_z = atan2_z1_Y, atan2_B1Y, f0
- nop.i 999
-}
-{ .mfi
- ldfe atan2_P12 = [EXP_AD_P2],16
-(p7) fma.s1 atan2_z = atan2_z1_X, atan2_B1X, f0
- nop.i 999
-;;
-}
-
-
-{ .mfi
- ldfe atan2_P1 = [EXP_AD_P1],16
- fcmp.eq.s0 p14,p15=atan2_X,atan2_Y // Dummy for denorm and invalid
- nop.i 999
-}
-{ .mlx
- ldfe atan2_P22 = [EXP_AD_P2],16
- movl rsig_near_one = 0x8000000000000001 // signif near 1.0
-;;
-}
-
-
-// p12 ==> x inf y inf
-// p13 ==> x inf y !inf
-{ .mmf
- ldfe atan2_P0 = [EXP_AD_P1],16
- ldfe atan2_pi_by_2 = [EXP_AD_P2],16
-(p10) fclass.m.unc p12,p13 = atan2_Y, 0x23 // x inf, test if y inf
-;;
-}
-
-{ .mfi
- ldfe atan2_pi = [EXP_AD_P1],16
-(p6) fma.s1 atan2_w = atan2_wp_Y, atan2_B1sq_Y,f0
- nop.i 999
-}
-{ .mfi
- ldfe atan2_pi_by_4 = [EXP_AD_P2],16
-(p7) fma.s1 atan2_w = atan2_wp_X, atan2_B1sq_X,f0
- nop.i 999
-;;
-}
-
-{ .mfi
- ldfe atan2_3pi_by_4 = [EXP_AD_P2],16
-(p11) fclass.m.unc p9,p0 = atan2_Y, 0x23 // x not inf, test if y inf
- nop.i 999
-;;
-}
-
-{ .mfi
- setf.sig atan2_sig_near_one = rsig_near_one
-(p12) fcmp.gt.unc.s1 p10,p11 = atan2_X,f0 // x inf, y inf, test if x +inf
- nop.i 999
-}
-{ .mfi
- nop.m 999
-(p6) fnma.s1 atan2_gV = atan2_Y, atan2_z, atan2_X
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- frcpa.s1 atan2_F,p0 = f1, atan2_E
- nop.i 999
-}
-{ .mfi
- nop.m 999
-(p7) fnma.s1 atan2_gV = atan2_X, atan2_z, atan2_Y
- nop.i 999
-;;
-}
-
-// p13 ==> x inf y !inf
-{ .mfi
- nop.m 999
-(p13) fcmp.gt.unc.s1 p14,p15 = atan2_X,f0 // x inf, y !inf, test if x +inf
- nop.i 999
-}
-{ .mfb
- nop.m 999
-(p9) fma.d.s0 f8 = atan2_sgnY, atan2_pi_by_2, f0 // +-pi/2 if x !inf, y inf
-(p9) br.ret.spnt b0 // exit if x not inf, y inf, result is +-pi/2
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V13 = atan2_w, atan2_P11, atan2_P10
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W11 = atan2_w, atan2_P21, atan2_P20
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V11 = atan2_w, atan2_P9, atan2_P8
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_V12 = atan2_w, atan2_w, f0
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V8 = atan2_w, atan2_P7 , atan2_P6
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W8 = atan2_w, atan2_P19, atan2_P18
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fnma.s1 atan2_alpha = atan2_E, atan2_F, f1
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fnma.s1 atan2_alpha_1 = atan2_E, atan2_F, atan2_two
- nop.i 999
-;;
-}
-
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V7 = atan2_w, atan2_P5 , atan2_P4
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W7 = atan2_w, atan2_P17, atan2_P16
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V4 = atan2_w, atan2_P3 , atan2_P2
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W4 = atan2_w, atan2_P15, atan2_P14
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V3 = atan2_w, atan2_P1 , atan2_P0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W3 = atan2_w, atan2_P13, atan2_P12
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V10 = atan2_V12, atan2_V13, atan2_V11
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_gVF = atan2_gV, atan2_F, f0
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_alpha_sq = atan2_alpha, atan2_alpha, f0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_Cp = atan2_alpha, atan2_alpha_1, f1
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V9 = atan2_V12, atan2_V12, f0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W10 = atan2_V12, atan2_P22 , atan2_W11
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V6 = atan2_V12, atan2_V8 , atan2_V7
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W6 = atan2_V12, atan2_W8 , atan2_W7
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V2 = atan2_V12, atan2_V4 , atan2_V3
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W2 = atan2_V12, atan2_W4 , atan2_W3
- nop.i 999
-;;
-}
-
-// p8 ==> y 0 x?
-// p9 ==> y !0 x?
-{ .mfi
- nop.m 999
- fclass.m p8,p9 = atan2_Y, 0x07 // Test for y=0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_zcub = atan2_z, atan2_w, f0
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_alpha_cub = atan2_alpha, atan2_alpha_sq, f0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_C = atan2_gVF, atan2_Cp, f0
- nop.i 999
-;;
-}
-
-// p12 ==> y0 x0
-// p13 ==> y0 x!0
-{ .mfi
- nop.m 999
-(p8) fclass.m.unc p12,p13 = atan2_X, 0x07 // y=0, test if x is 0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W12 = atan2_V9, atan2_V9, f0
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V5 = atan2_V9, atan2_V10, atan2_V6
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_W5 = atan2_V9, atan2_W10, atan2_W6
- nop.i 999
-;;
-}
-
-
-// p9 ==> y!0 x0
-{ .mfi
- nop.m 999
-(p9) fclass.m.unc p9,p0 = atan2_X, 0x07 // y not 0, test if x is 0
- nop.i 999
-}
-// p10 ==> X +INF, Y +-INF
-{ .mfb
- nop.m 999
-(p10) fma.d.s0 f8 = atan2_sgnY, atan2_pi_by_4, f0 // x=+inf, y=inf
-(p10) br.ret.spnt b0 // Exit for x=+inf, y=inf, result is +-pi/4
-;;
-}
-
-.pred.rel "mutex",p11,p14
-{ .mfi
- nop.m 999
-(p14) fmerge.s f8 = atan2_sgnY, f0 // x=+inf, y !inf, result +-0
- nop.i 999
-}
-// p11 ==> X -INF, Y +-INF
-{ .mfb
- nop.m 999
-(p11) fma.d.s0 f8 = atan2_sgnY, atan2_3pi_by_4, f0 // x=-inf, y=inf
-(p11) br.ret.spnt b0 // Exit for x=-inf, y=inf, result is +-3pi/4
-;;
-}
-
-{ .mfi
- nop.m 999
-(p13) fcmp.gt.unc.s1 p10,p11 = atan2_X,f0 // x not 0, y=0, test if x>0
- nop.i 999
-}
-{ .mfb
- nop.m 999
- fma.s1 atan2_d = atan2_alpha_cub, atan2_C, atan2_C
-(p14) br.ret.spnt b0 // Exit if x=+inf, y !inf, result +-0
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_W12 = atan2_V9, atan2_W12, f0
- nop.i 999
-}
-{ .mfb
- nop.m 999
-(p9) fma.d.s0 f8 = atan2_sgnY, atan2_pi_by_2, f0 // x=0, y not 0
-(p9) br.ret.spnt b0 // Exit if x=0 and y not 0, result is +-pi/2
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_V1 = atan2_V9, atan2_V5, atan2_V2
- nop.i 999
-}
-{ .mfb
- nop.m 999
- fma.s1 atan2_W1 = atan2_V9, atan2_W5, atan2_W2
-(p12) br.spnt ATAN2_ERROR // Branch if x=0 and y=0
-;;
-}
-
-{ .mfi
- nop.m 999
-(p10) fmerge.s f8 = atan2_sgnY, f0 // +-0 if x>0, y=0
- nop.i 999
-}
-{ .mfb
- nop.m 999
-(p11) fma.d.s0 f8 = atan2_sgnY, atan2_pi, f0 // +-pi if x<0, y=0
-(p13) br.ret.spnt b0 // Exit if x!0 and y=0
-;;
-}
-
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_pd = atan2_P0, atan2_d, f0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_dsq = atan2_d, atan2_d, f0
- nop.i 999
-;;
-}
-
-
-{ .mfi
- nop.m 999
- fmerge.se atan2_near_one = f1, atan2_sig_near_one // Const ~1.0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_Pp = atan2_W12, atan2_W1, atan2_V1
- nop.i 999
-;;
-}
-
-// p8 true if no swap and X positive
-// p9 true if no swap and X negative
-// both are false is swap is true
-{ .mfi
- nop.m 999
-(p7) fcmp.ge.unc.s1 p8,p9 = atan2_X,f0
- nop.i 999
-}
-{ .mfb
- nop.m 999
-(p15) fma.d.s0 f8 = atan2_sgnY, atan2_pi, f0
-(p15) br.ret.spnt b0 // Exit if x=-inf, y !inf, result +-pi
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_sgn_pi_by_2 = atan2_pi_by_2, atan2_sgnY, f0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_A_lo = atan2_pd, atan2_dsq, atan2_d
- nop.i 999
-;;
-}
-
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_sgn_pi = atan2_pi, atan2_sgnY, f0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2_A_hi = atan2_zcub, atan2_Pp, atan2_z
- nop.i 999
-;;
-}
-
-
-// For |Y| <= |X| and X > 0, force inexact in case A_lo is zero
-{ .mfi
- nop.m 999
-(p8) fmpy.s0 atan2_tmp = atan2_P22, atan2_P22
- nop.i 999
-;;
-}
-
-{ .mfi
- nop.m 999
- fma.s1 atan2_A = atan2_A_hi, f1, atan2_A_lo
- nop.i 999
-}
-// For |Y| <= |X| and X > 0, result is A_hi + A_lo
-{ .mfi
- nop.m 999
-(p8) fma.d.s0 f8 = atan2_A_hi, f1, atan2_A_lo
- nop.i 999
-;;
-}
-
-.pred.rel "mutex",p6,p9
-// We perturb A by multiplying by 1.0+1ulp as we produce the result
-// in order to get symmetrically rounded results in directed rounding modes.
-// If we don't do this, there are a few cases where the trailing 11 bits of
-// the significand of the result, before converting to double, are zero. These
-// cases do not round symmetrically in round to +infinity or round to -infinity.
-// The perturbation also insures that the inexact flag is set.
-// For |Y| > |X|, result is +- pi/2 - (A_hi + A_lo)
-{ .mfi
- nop.m 999
-(p6) fnma.d.s0 f8 = atan2_A, atan2_near_one, atan2_sgn_pi_by_2
- nop.i 999
-}
-// For |Y| <= |X|, and X < 0, result is +- pi + (A_hi + A_lo)
-{ .mfb
- nop.m 999
-(p9) fma.d.s0 f8 = atan2_A, atan2_near_one, atan2_sgn_pi
- br.ret.sptk b0
-;;
-}
-
-ATAN2_ERROR:
-// Here if x=0 and y=0
-{ .mfi
- nop.m 999
- fclass.m p10,p11 = atan2_X,0x05 // Test if x=+0
- nop.i 999
-}
-;;
-
-{ .mfi
- mov atan2_GR_tag = 37
-(p10) fmerge.s f10 = atan2_sgnY, f0 // x=+0, y=0
- nop.i 999
-}
-{ .mfi
- nop.m 999
-(p11) fma.d.s0 f10 = atan2_sgnY, atan2_pi, f0 // x=-0, y=0
- nop.i 999
-;;
-}
-GLOBAL_IEEE754_END(atan2)
-
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-.prologue
-// (1)
-{ .mfi
- add GR_Parameter_Y=-32,sp // Parameter 2 value
- nop.f 999
-.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] = f8,16 // 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] = f9 // STORE Parameter 1 on stack
- add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
- nop.b 0
-}
-{ .mib
- stfd [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
- add GR_Parameter_RESULT = 48,sp
- nop.m 0
- nop.i 0
-};;
-
-// (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#
generated by cgit v1.1 at 2024-11-25 09:56:59 +0000