1062 lines
26 KiB
ArmAsm
1062 lines
26 KiB
ArmAsm
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.file "atan2.s"
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// Copyright (c) 2000, Intel Corporation
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// All rights reserved.
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//
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// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
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// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
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//
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// WARRANTY DISCLAIMER
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//
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// Intel Corporation is the author of this code, and requests that all
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// problem reports or change requests be submitted to it directly at
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// http://developer.intel.com/opensource.
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//
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// History
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//==============================================================
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// 2/02/00 Initial version
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// 4/04/00 Unwind support added
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// 8/15/00 Bundle added after call to __libm_error_support to properly
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// set [the previously overwritten] GR_Parameter_RESULT.
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// 8/17/00 Changed predicate register macro-usage to direct predicate
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// names due to an assembler bug.
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// 9/28/00 Updated to set invalid on SNaN inputs
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//
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// API
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//==============================================================
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// double atan2(double Y, double X)
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//
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// Overview of operation
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//==============================================================
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//
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// There are two basic paths: swap true and swap false.
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// atan2(Y,X) ==> atan2(V/U) where U >= V. If Y > X, we must swap.
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//
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// p6 swap True
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// p7 swap False
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// p8 X+ (If swap=True p8=p9=0)
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// p9 X-
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//
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// all the other predicates p10 thru p15 and false for the main path
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//
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// Special values
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//==============================================================
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// Y x Result
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// +number +inf +0
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// -number +inf -0
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// +number -inf +pi
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// -number -inf -pi
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//
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// +inf +number +pi/2
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// -inf +number -pi/2
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// +inf -number +pi/2
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// -inf -number -pi/2
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//
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// +inf +inf +pi/4
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// -inf +inf -pi/4
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// +inf -inf +3pi/4
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// -inf -inf -3pi/4
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//
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// +1 +1 +pi/4
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// -1 +1 -pi/4
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// +1 -1 +3pi/4
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// -1 -1 -3pi/4
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//
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// +number +0 +pi/2
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// -number +0 -pi/2
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// +number -0 +pi/2
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// -number -0 -pi/2
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//
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// +0 +number +0
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// -0 +number -0
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// +0 -number +pi
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// -0 -number -pi
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//
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// +0 +0 +0
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// -0 +0 -0
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// +0 -0 +pi
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// -0 -0 -pi
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//
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// Nan anything quiet Y
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// anything NaN quiet X
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// atan(+-0/+-0) sets double error tag to 37
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// atan(+-0/+-0) sets single error tag to 38
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// Assembly macros
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//==============================================================
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EXP_AD_P1 = r33
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EXP_AD_P2 = r34
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GR_SAVE_B0 = r35
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GR_SAVE_GP = r36
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GR_SAVE_PFS = r37
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GR_Parameter_X = r38
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GR_Parameter_Y = r39
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GR_Parameter_RESULT = r40
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atan2_GR_tag = r41
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atan2_X = f9
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atan2_Y = f8
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atan2_u1_X = f32
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atan2_u1_Y = f33
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atan2_Umax = f34
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atan2_Vmin = f35
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atan2_two = f36
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atan2_absX = f37
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atan2_z1_X = f38
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atan2_z1_Y = f39
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atan2_B1X = f40
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atan2_B1Y = f41
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atan2_wp = f42
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atan2_B1sq = f43
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atan2_z = f44
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atan2_w = f45
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atan2_P0 = f46
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atan2_P1 = f47
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atan2_P2 = f48
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atan2_P3 = f49
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atan2_P4 = f50
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atan2_P5 = f51
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atan2_P6 = f52
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atan2_P7 = f53
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atan2_P8 = f54
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atan2_P9 = f55
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atan2_P10 = f56
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atan2_P11 = f57
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atan2_P12 = f58
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atan2_P13 = f59
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atan2_P14 = f60
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atan2_P15 = f61
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atan2_P16 = f62
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atan2_P17 = f63
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atan2_P18 = f64
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atan2_P19 = f65
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atan2_P20 = f66
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atan2_P21 = f67
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atan2_P22 = f68
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atan2_Pi_by_2 = f69
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atan2_V13 = f70
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atan2_W11 = f71
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atan2_E = f72
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atan2_gamma = f73
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atan2_V11 = f74
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atan2_V12 = f75
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atan2_V7 = f76
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atan2_V8 = f77
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atan2_W7 = f78
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atan2_W8 = f79
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atan2_W3 = f80
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atan2_W4 = f81
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atan2_V3 = f82
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atan2_V4 = f83
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atan2_F = f84
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atan2_gV = f85
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atan2_V10 = f86
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atan2_zcub = f87
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atan2_V6 = f88
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atan2_V9 = f89
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atan2_W10 = f90
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atan2_W6 = f91
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atan2_W2 = f92
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atan2_V2 = f93
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atan2_alpha = f94
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atan2_alpha_1 = f95
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atan2_gVF = f96
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atan2_V5 = f97
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atan2_W12 = f98
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atan2_W5 = f99
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atan2_alpha_sq = f100
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atan2_Cp = f101
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atan2_V1 = f102
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atan2_NORM_X = f103
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atan2_W1 = f104
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atan2_alpha_cub = f105
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atan2_C = f106
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atan2_P = f107
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atan2_d = f108
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atan2_A_hi = f109
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atan2_dsq = f110
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atan2_pd = f111
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atan2_A_lo = f112
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atan2_A = f113
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atan2_Pp = f114
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atan2_NORM_X = f115
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atan2_sgnY = f116
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atan2_pi = f117
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atan2_sgnX = f118
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atan2_sgnXY = f119
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atan2_3pi_by_4 = f120
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atan2_pi_by_4 = f121
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atan2_NORM_Y = f122
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//atan2_sF = p7
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//atan2_sT = p6
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// These coefficients are for atan2.
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// You can also use this set to substitute those used in the |X| <= 1 case for atan;
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// BUT NOT vice versa.
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/////////////////////////////////////////////////////////////
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.data
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.align 16
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atan2_tb1:
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data8 0xB199DD6D2675C40F , 0x0000BFFA // P10
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data8 0xA21922DC45605EA1 , 0x00003FFA // P11
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data8 0xD78F28FC2A592781 , 0x0000BFFA // P8
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data8 0xC2F01E5DDD100DBE , 0x00003FFA // P9
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data8 0x9D89D7D55C3287A5 , 0x00003FFB // P5
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data8 0xF0F03ADB3FC930D3 , 0x00003FFA // P7
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data8 0xF396268151CFB11C , 0x00003FF7 // P17
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data8 0x9D3436AABE218776 , 0x00003FF5 // P19
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data8 0x80D601879218B53A , 0x00003FFA // P13
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data8 0xA2270D30A90AA220 , 0x00003FF9 // P15
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data8 0xCCCCCCCCCCC906CD , 0x00003FFC // P1
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data8 0xE38E38E320A8A098 , 0x00003FFB // P3
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data8 0xFE7E52D2A89995B3 , 0x0000BFEC // P22
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data8 0xC90FDAA22168C235 , 0x00003FFE // pi/4
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atan2_tb2:
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data8 0x9F90FB984D8E39D0 , 0x0000BFF3 // P20
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data8 0xCE585A259BD8374C , 0x00003FF0 // P21
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data8 0xBA2E8B9793955C77 , 0x0000BFFB // P4
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data8 0x88887EBB209E3543 , 0x0000BFFB // P6
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data8 0xD818B4BB43D84BF2 , 0x0000BFF8 // P16
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data8 0xDEC343E068A6D2A8 , 0x0000BFF6 // P18
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data8 0x9297B23CCFFB291F , 0x0000BFFA // P12
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data8 0xD5F4F2182E7A8725 , 0x0000BFF9 // P14
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data8 0xAAAAAAAAAAAAA8A9 , 0x0000BFFD // P0
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data8 0x9249249247E37913 , 0x0000BFFC // P2
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data8 0xC90FDAA22168C235 , 0x00003FFF // pi/2
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data8 0xC90FDAA22168C235 , 0x00004000 // pi
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data8 0x96cbe3f9990e91a8 , 0x00004000 // 3pi/4
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.align 32
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.global atan2#
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////////////////////////////////////////////////////////
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.section .text
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.proc atan2#
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.align 32
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atan2:
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// qnan snan inf norm unorm 0 -+
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// 0 0 1 0 0 0 11
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// Y NAN? p10 p11
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// p10 ==> quiet Y and return
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// p11 X NAN? p12, p13
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// p12 ==> quiet X and return
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{ .mfi
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alloc r32 = ar.pfs,1,5,4,0
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frcpa.s1 atan2_u1_X,p6 = f1,atan2_X
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addl EXP_AD_P2 = @ltoff(atan2_tb2), gp
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}
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{ .mfi
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addl EXP_AD_P1 = @ltoff(atan2_tb1), gp
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fclass.m.unc p10,p11 = f8, 0xc3
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nop.i 999
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;;
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}
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{ .mfi
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ld8 EXP_AD_P1 = [EXP_AD_P1]
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frcpa.s1 atan2_u1_Y,p7 = f1,atan2_Y
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nop.i 999
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}
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{ .mfi
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nop.m 999
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fma.s1 atan2_two = f1,f1,f1
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nop.i 999
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;;
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}
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{ .mfi
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ld8 EXP_AD_P2 = [ EXP_AD_P2]
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famax.s1 atan2_Umax = f8,f9
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nop.i 999
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}
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;;
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{ .mfi
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nop.m 999
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fmerge.s atan2_absX = f0,atan2_X
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nop.i 999
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}
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;;
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// p10 Y NAN, quiet and return
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{ .mfi
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ldfe atan2_P10 = [EXP_AD_P1],16
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fmerge.s atan2_sgnY = atan2_Y,f1
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nop.i 999
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}
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{ .mfb
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nop.m 999
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(p10) fma.d f8 = f8,f9,f0
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(p10) br.ret.spnt b0
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;;
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}
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{ .mmf
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ldfe atan2_P11 = [EXP_AD_P1],16
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ldfe atan2_P20 = [EXP_AD_P2],16
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fmerge.s atan2_sgnX = atan2_X,f1
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;;
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}
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{ .mfi
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ldfe atan2_P8 = [EXP_AD_P1],16
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fma.s1 atan2_z1_X = atan2_u1_X, atan2_Y, f0
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nop.i 999
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}
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{ .mfi
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ldfe atan2_P21 = [EXP_AD_P2],16
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fma.s1 atan2_z1_Y = atan2_u1_Y, atan2_X, f0
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nop.i 999
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;;
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}
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{ .mfi
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ldfe atan2_P9 = [EXP_AD_P1],16
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fnma.s1 atan2_B1X = atan2_u1_X, atan2_X, atan2_two
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nop.i 999
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}
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{ .mfi
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ldfe atan2_P4 = [EXP_AD_P2],16
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fnma.s1 atan2_B1Y = atan2_u1_Y, atan2_Y, atan2_two
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nop.i 999
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||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
// p6 (atan2_sT) true if swap
|
||
|
|
// p7 (atan2_sF) true if no swap
|
||
|
|
// p11 ==> Y !NAN; X NAN?
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P5 = [EXP_AD_P1],16
|
||
|
|
// fcmp.eq.unc.s1 atan2_sF,atan2_sT = atan2_Umax, atan2_X
|
||
|
|
fcmp.eq.unc.s1 p7,p6 = atan2_Umax, atan2_X
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P6 = [EXP_AD_P2],16
|
||
|
|
(p11) fclass.m.unc p12,p13 = f9, 0xc3
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mmf
|
||
|
|
ldfe atan2_P7 = [EXP_AD_P1],16
|
||
|
|
ldfe atan2_P16 = [EXP_AD_P2],16
|
||
|
|
famin.s1 atan2_Vmin = f8,f9
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
// p8 true if X positive
|
||
|
|
// p9 true if X negative
|
||
|
|
// both are false is swap is true
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P17 = [EXP_AD_P1],16
|
||
|
|
//(atan2_sF) fcmp.eq.unc.s1 p8,p9 = atan2_sgnX,f1
|
||
|
|
(p7) fcmp.eq.unc.s1 p8,p9 = atan2_sgnX,f1
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P18 = [EXP_AD_P2],16
|
||
|
|
fma.s1 atan2_sgnXY = atan2_sgnX, atan2_sgnY, f0
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P19 = [EXP_AD_P1],16
|
||
|
|
//(atan2_sF) fma.s1 atan2_wp = atan2_z1_X, atan2_z1_X, f0
|
||
|
|
(p7) fma.s1 atan2_wp = atan2_z1_X, atan2_z1_X, f0
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P12 = [EXP_AD_P2],16
|
||
|
|
//(atan2_sT) fma.s1 atan2_wp = atan2_z1_Y, atan2_z1_Y, f0
|
||
|
|
(p6) fma.s1 atan2_wp = atan2_z1_Y, atan2_z1_Y, f0
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P13 = [EXP_AD_P1],16
|
||
|
|
//(atan2_sF) fma.s1 atan2_z = atan2_z1_X, atan2_B1X, f0
|
||
|
|
(p7) fma.s1 atan2_z = atan2_z1_X, atan2_B1X, f0
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P14 = [EXP_AD_P2],16
|
||
|
|
//(atan2_sT) fma.s1 atan2_z = atan2_z1_Y, atan2_B1Y, f0
|
||
|
|
(p6) fma.s1 atan2_z = atan2_z1_Y, atan2_B1Y, f0
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P15 = [EXP_AD_P1],16
|
||
|
|
//(atan2_sF) fma.s1 atan2_B1sq = atan2_B1X, atan2_B1X, f0
|
||
|
|
(p7) fma.s1 atan2_B1sq = atan2_B1X, atan2_B1X, f0
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P0 = [EXP_AD_P2],16
|
||
|
|
//(atan2_sT) fma.s1 atan2_B1sq = atan2_B1Y, atan2_B1Y, f0
|
||
|
|
(p6) fma.s1 atan2_B1sq = atan2_B1Y, atan2_B1Y, f0
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// p12 ==> X NAN, quiet and return
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P1 = [EXP_AD_P1],16
|
||
|
|
fmerge.s atan2_Umax = f0,atan2_Umax
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfb
|
||
|
|
ldfe atan2_P2 = [EXP_AD_P2],16
|
||
|
|
(p12) fma.d f8 = f9,f8,f0
|
||
|
|
(p12) br.ret.spnt b0
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// p10 ==> x inf y ?
|
||
|
|
// p11 ==> x !inf y ?
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_P3 = [EXP_AD_P1],16
|
||
|
|
fmerge.s atan2_Vmin = f0,atan2_Vmin
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_Pi_by_2 = [EXP_AD_P2],16
|
||
|
|
fclass.m.unc p10,p11 = f9, 0x23
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
{ .mmf
|
||
|
|
ldfe atan2_P22 = [EXP_AD_P1],16
|
||
|
|
ldfe atan2_pi = [EXP_AD_P2],16
|
||
|
|
nop.f 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s0 atan2_NORM_X = f9,f1,f0
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s0 atan2_NORM_Y = f8,f1,f0
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_pi_by_4 = [EXP_AD_P1],16
|
||
|
|
fma.s1 atan2_w = atan2_wp, atan2_B1sq,f0
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
ldfe atan2_3pi_by_4 = [EXP_AD_P2],16
|
||
|
|
//(atan2_sT) fmerge.ns atan2_sgnXY = atan2_sgnXY, atan2_sgnXY
|
||
|
|
(p6) fmerge.ns atan2_sgnXY = atan2_sgnXY, atan2_sgnXY
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
// p12 ==> x inf y inf
|
||
|
|
// p13 ==> x inf y !inf
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fmerge.s atan2_z = f0, atan2_z
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 99
|
||
|
|
(p10) fclass.m.unc p12,p13 = f8, 0x23
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 99
|
||
|
|
(p11) fclass.m.unc p14,p15 = f8, 0x23
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
(p12) fcmp.eq.unc.s1 p10,p11 = atan2_sgnX,f1
|
||
|
|
nop.i 99
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p14) fma.d f8 = atan2_sgnY, atan2_Pi_by_2, f0
|
||
|
|
(p14) br.ret.spnt b0
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .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_E = atan2_Vmin, atan2_z, atan2_Umax
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fnma.s1 atan2_gamma = atan2_Umax, atan2_z, f1
|
||
|
|
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_V7 = atan2_w, atan2_P5 , atan2_P4
|
||
|
|
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_W7 = atan2_w, atan2_P17, atan2_P16
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_W8 = atan2_w, atan2_P19, atan2_P18
|
||
|
|
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_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_V4 = atan2_w, atan2_P3 , atan2_P2
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_zcub = atan2_z, atan2_w, f0
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fnma.s1 atan2_gV = atan2_Umax, atan2_z, atan2_Vmin
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
frcpa.s1 atan2_F,p15 = f1, atan2_E
|
||
|
|
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_V6 = atan2_V12, atan2_V8 , atan2_V7
|
||
|
|
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_W6 = atan2_V12, atan2_W8 , atan2_W7
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_W2 = atan2_V12, atan2_W4 , atan2_W3
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_V2 = atan2_V12, atan2_V4 , atan2_V3
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// Both X and Y are INF
|
||
|
|
// p10 ==> X +
|
||
|
|
// p11 ==> X -
|
||
|
|
.pred.rel "mutex",p10,p11
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p10) fma.d f8 = atan2_sgnY, atan2_pi_by_4, f0
|
||
|
|
(p10) br.ret.spnt b0
|
||
|
|
}
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p11) fma.d f8 = atan2_sgnY, atan2_3pi_by_4, f0
|
||
|
|
(p11) br.ret.spnt b0
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
.pred.rel "mutex",p8,p9,p6
|
||
|
|
{ .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
|
||
|
|
//(atan2_sT) fmerge.s atan2_P = atan2_Y, atan2_Pi_by_2
|
||
|
|
(p6) fmerge.s atan2_P = atan2_Y, atan2_Pi_by_2
|
||
|
|
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_V5 = atan2_V9, atan2_V10, atan2_V6
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_W12 = atan2_V9, atan2_V9, f0
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
(p8) fmerge.s atan2_P = atan2_sgnY, f0
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_W5 = atan2_V9, atan2_W10, atan2_W6
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
(p9) fmerge.s atan2_P = atan2_sgnY, atan2_pi
|
||
|
|
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_V1 = atan2_V9, atan2_V5, atan2_V2
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_W12 = atan2_V9, atan2_W12, f0
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// p13 ==> x inf y !inf
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_W1 = atan2_V9, atan2_W5, atan2_W2
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
(p13) fcmp.eq.unc.s1 p10,p11 = atan2_sgnX,f1
|
||
|
|
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
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
.pred.rel "mutex",p10,p11
|
||
|
|
// x inf y !inf
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p10) fmerge.s f8 = atan2_sgnY, f0
|
||
|
|
(p10) br.ret.spnt b0
|
||
|
|
}
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p11) fma.d f8 = atan2_sgnY, atan2_pi, f0
|
||
|
|
(p11) br.ret.spnt b0
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
// p10 ==> y 0 x?
|
||
|
|
// p11 ==> y !0 x?
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fclass.m.unc p10,p11 = f8, 0x07
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_Pp = atan2_W12, atan2_W1, atan2_V1
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fma.s1 atan2_d = atan2_alpha_cub, atan2_C, atan2_C
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
// p12 ==> y0 x0
|
||
|
|
// p13 ==> y0 x!0
|
||
|
|
// p14 ==> y!0 x0
|
||
|
|
// p15 ==> y!0 x!0
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
(p10) fclass.m.unc p12,p13 = f9, 0x07
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
(p11) fclass.m.unc p14,p15 = f9, 0x07
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p13) fcmp.eq.unc.s1 p10,p11 = atan2_sgnX,f1
|
||
|
|
(p12) br.spnt ATAN2_ERROR
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
{ .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
|
||
|
|
fma.s1 atan2_A_hi = atan2_zcub, atan2_Pp, atan2_z
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p14) fma.d f8 = atan2_sgnY, atan2_Pi_by_2, f0
|
||
|
|
(p14) br.ret.spnt b0
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p10) fmerge.s f8 = atan2_sgnY, f0
|
||
|
|
(p10) br.ret.spnt b0
|
||
|
|
}
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
(p11) fma.d f8 = atan2_sgnY, atan2_pi, f0
|
||
|
|
(p11) br.ret.spnt b0
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
{ .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_A = atan2_A_hi, f1, atan2_A_lo
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
|
||
|
|
{ .mfb
|
||
|
|
nop.m 999
|
||
|
|
fma.d f8 = atan2_sgnXY, atan2_A, atan2_P
|
||
|
|
br.ret.sptk b0
|
||
|
|
}
|
||
|
|
|
||
|
|
ATAN2_ERROR:
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
fcmp.eq.unc.s1 p10,p11 = atan2_sgnX,f1
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
;;
|
||
|
|
|
||
|
|
{ .mfi
|
||
|
|
mov atan2_GR_tag = 37
|
||
|
|
(p10) fmerge.s f10 = atan2_sgnY, f0
|
||
|
|
nop.i 999
|
||
|
|
}
|
||
|
|
{ .mfi
|
||
|
|
nop.m 999
|
||
|
|
(p11) fma.d f10 = atan2_sgnY, atan2_pi, f0
|
||
|
|
nop.i 999
|
||
|
|
;;
|
||
|
|
}
|
||
|
|
.endp atan2#
|
||
|
|
|
||
|
|
|
||
|
|
// Stack operations when calling error support.
|
||
|
|
// (1) (2) (3) (call) (4)
|
||
|
|
// sp -> + psp -> + psp -> + sp -> +
|
||
|
|
// | | | |
|
||
|
|
// | | <- GR_Y R3 ->| <- GR_RESULT | -> f8
|
||
|
|
// | | | |
|
||
|
|
// | <-GR_Y Y2->| Y2 ->| <- GR_Y |
|
||
|
|
// | | | |
|
||
|
|
// | | <- GR_X X1 ->| |
|
||
|
|
// | | | |
|
||
|
|
// sp-64 -> + sp -> + sp -> + +
|
||
|
|
// save ar.pfs save b0 restore gp
|
||
|
|
// save gp restore ar.pfs
|
||
|
|
|
||
|
|
|
||
|
|
.proc __libm_error_region
|
||
|
|
__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
|
||
|
|
nop.m 0
|
||
|
|
nop.m 0
|
||
|
|
add GR_Parameter_RESULT = 48,sp
|
||
|
|
};;
|
||
|
|
|
||
|
|
// (4)
|
||
|
|
{ .mmi
|
||
|
|
ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack
|
||
|
|
.restore
|
||
|
|
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
|
||
|
|
|
||
|
|
.type __libm_error_support#,@function
|
||
|
|
.global __libm_error_support#
|