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We stopped adding "Contributed by" or similar lines in sources in 2012 in favour of git logs and keeping the Contributors section of the glibc manual up to date. Removing these lines makes the license header a bit more consistent across files and also removes the possibility of error in attribution when license blocks or files are copied across since the contributed-by lines don't actually reflect reality in those cases. Move all "Contributed by" and similar lines (Written by, Test by, etc.) into a new file CONTRIBUTED-BY to retain record of these contributions. These contributors are also mentioned in manual/contrib.texi, so we just maintain this additional record as a courtesy to the earlier developers. The following scripts were used to filter a list of files to edit in place and to clean up the CONTRIBUTED-BY file respectively. These were not added to the glibc sources because they're not expected to be of any use in future given that this is a one time task: https://gist.github.com/siddhesh/b5ecac94eabfd72ed2916d6d8157e7dc https://gist.github.com/siddhesh/15ea1f5e435ace9774f485030695ee02 Reviewed-by: Carlos O'Donell <carlos@redhat.com>
754 lines
19 KiB
ArmAsm
754 lines
19 KiB
ArmAsm
.file "atan.s"
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// Copyright (c) 2000 - 2003, Intel Corporation
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// All rights reserved.
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//
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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//
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// * Redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote
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// products derived from this software without specific prior written
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// permission.
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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://www.intel.com/software/products/opensource/libraries/num.htm.
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//
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// History
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//==============================================================
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// 02/02/00 Initial version
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// 04/13/00 Improved speed
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// 04/19/00 Removed the qualifying predicate from the fmerge.s that
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// takes the absolute value.
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// 06/16/00 Reassigned FP registers to eliminate stalls on loads
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// 08/30/00 Saved 5 cycles in main path by rearranging large argument logic
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// and delaying use of result of fcmp in load by 1 group
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// 05/20/02 Cleaned up namespace and sf0 syntax
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// 08/20/02 Use atan2 algorithm with x=1 for better accuracy
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// 02/06/03 Reordered header: .section, .global, .proc, .align
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//
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// API
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//==============================================================
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// double atan(double Y)
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//
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// Overview of operation
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//==============================================================
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//
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// The atan function returns values in the interval [-pi/2,+pi/2].
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//
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// The algorithm used is the atan2(Y,X) algorithm where we fix X=1.0.
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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 |Y| > |X|
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// p7 swap False |Y| <= |X|
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//
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//
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// Simple trigonometric identities show
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// Region 1
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// |Y|<=1.0, V=Y, U=1.0 atan2(Y,X) = sgnY * (0 + atan(V/U))
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//
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// Region 2
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// |Y|>1.0, V=1.0, U=Y atan2(Y,X) = sgnY * (pi/2 - atan(V/U))
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//
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//
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// We compute atan(V/U) from the identity
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// atan(z) + atan([(V/U)-z] / [1+(V/U)z])
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// where z is a limited precision approximation (16 bits) to V/U
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//
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// z is calculated with the assistance of the frcpa instruction.
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//
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// atan(z) is calculated by a polynomial z + z^3 * p(w), w=z^2
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// where p(w) = P0+P1*w+...+P22*w^22
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//
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// Let d = [(V/U)-z] / [1+(V/U)z]) = (V-U*z)/(U+V*z)
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//
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// Approximate atan(d) by d + P0*d^3
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// Let F = 1/(U+V*z) * (1-a), where |a|< 2^-8.8.
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// Compute q(a) = 1 + a + ... + a^5.
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// Then F*q(a) approximates the reciprocal to more than 50 bits.
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// Special values
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//==============================================================
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// atan(QNAN) = QNAN
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// atan(SNAN) = quieted SNAN
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// atan(+-inf) = +- pi/2
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// atan(+-0) = +-0
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// Registers used
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//==============================================================
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// predicate registers used:
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// p6 -> p15
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// floating-point registers used:
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// f8, input
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// f32 -> f116
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// general registers used
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// r14 -> r16
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// Assembly macros
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//==============================================================
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EXP_AD_P1 = r14
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EXP_AD_P2 = r15
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rsig_near_one = r16
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atan2_Y = f8
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atan2_X = f1
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atan2_u1_X = f32
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atan2_u1_Y = f33
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atan2_z2_X = f34
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atan2_two = f36
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atan2_B1sq_Y = f37
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atan2_z1_X = f38
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atan2_B1X = f40
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atan2_B1Y = f41
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atan2_wp_X = f42
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atan2_B1sq_X = 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_sgn_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_wp_Y = 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_ysq = 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_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_sgnY = f115
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atan2_sig_near_one = f116
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atan2_near_one = f116
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/////////////////////////////////////////////////////////////
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RODATA
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.align 16
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LOCAL_OBJECT_START(atan2_tb1)
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data8 0xA21922DC45605EA1 , 0x00003FFA // P11
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data8 0xB199DD6D2675C40F , 0x0000BFFA // P10
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data8 0xC2F01E5DDD100DBE , 0x00003FFA // P9
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data8 0xD78F28FC2A592781 , 0x0000BFFA // P8
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data8 0xF0F03ADB3FC930D3 , 0x00003FFA // P7
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data8 0x88887EBB209E3543 , 0x0000BFFB // P6
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data8 0x9D89D7D55C3287A5 , 0x00003FFB // P5
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data8 0xBA2E8B9793955C77 , 0x0000BFFB // P4
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data8 0xE38E38E320A8A098 , 0x00003FFB // P3
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data8 0x9249249247E37913 , 0x0000BFFC // P2
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data8 0xCCCCCCCCCCC906CD , 0x00003FFC // P1
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data8 0xAAAAAAAAAAAAA8A9 , 0x0000BFFD // P0
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data8 0x0000000000000000 , 0x00000000 // pad to avoid bank conflict
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LOCAL_OBJECT_END(atan2_tb1)
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LOCAL_OBJECT_START(atan2_tb2)
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data8 0xCE585A259BD8374C , 0x00003FF0 // P21
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data8 0x9F90FB984D8E39D0 , 0x0000BFF3 // P20
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data8 0x9D3436AABE218776 , 0x00003FF5 // P19
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data8 0xDEC343E068A6D2A8 , 0x0000BFF6 // P18
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data8 0xF396268151CFB11C , 0x00003FF7 // P17
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data8 0xD818B4BB43D84BF2 , 0x0000BFF8 // P16
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data8 0xA2270D30A90AA220 , 0x00003FF9 // P15
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data8 0xD5F4F2182E7A8725 , 0x0000BFF9 // P14
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data8 0x80D601879218B53A , 0x00003FFA // P13
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data8 0x9297B23CCFFB291F , 0x0000BFFA // P12
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data8 0xFE7E52D2A89995B3 , 0x0000BFEC // P22
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data8 0xC90FDAA22168C235 , 0x00003FFF // pi/2
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LOCAL_OBJECT_END(atan2_tb2)
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.section .text
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GLOBAL_LIBM_ENTRY(atan)
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{ .mfi
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nop.m 999
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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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addl EXP_AD_P1 = @ltoff(atan2_tb1), gp
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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_P1 = [EXP_AD_P1]
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frcpa.s1 atan2_u1_X,p6 = f1,atan2_X
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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_ysq = atan2_Y,atan2_Y,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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add EXP_AD_P2 = 0xd0,EXP_AD_P1
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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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;;
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{ .mfi
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ldfe atan2_P11 = [EXP_AD_P1],16
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fclass.m p10,p0 = atan2_Y, 0xc3 // Test for y=nan
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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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nop.f 999
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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_P10 = [EXP_AD_P1],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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}
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{ .mfi
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ldfe atan2_P20 = [EXP_AD_P2],16
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fma.s1 atan2_wp_Y = atan2_u1_Y, atan2_u1_Y, 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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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_P19 = [EXP_AD_P2],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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;;
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{ .mfi
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ldfe atan2_P8 = [EXP_AD_P1],16
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fma.s1 atan2_z2_X = atan2_u1_X, atan2_ysq, f0
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nop.i 999
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}
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{ .mfb
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ldfe atan2_P18 = [EXP_AD_P2],16
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(p10) fma.d.s0 f8 = atan2_Y,atan2_X,f0 // If y=nan, result quietized y
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(p10) br.ret.spnt b0 // Exit if y=nan
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}
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;;
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// p6 true if swap, means |y| > 1.0 or ysq > 1.0
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// p7 true if no swap, means 1.0 >= |y| or 1.0 >= ysq
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{ .mfi
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ldfe atan2_P7 = [EXP_AD_P1],16
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fcmp.ge.s1 p7,p6 = f1, atan2_ysq
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nop.i 999
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}
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{ .mmf
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ldfe atan2_P17 = [EXP_AD_P2],16
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nop.m 999
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nop.f 999
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}
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;;
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{ .mfi
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ldfe atan2_P6 = [EXP_AD_P1],16
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fma.s1 atan2_E = atan2_u1_Y, atan2_B1Y, atan2_Y
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nop.i 999
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}
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{ .mfi
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ldfe atan2_P16 = [EXP_AD_P2],16
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fma.s1 atan2_B1sq_Y = atan2_B1Y, atan2_B1Y, 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_P5 = [EXP_AD_P1],16
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(p7) fma.s1 atan2_wp_X = atan2_z1_X, atan2_z1_X, f0
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nop.i 999
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}
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{ .mfi
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ldfe atan2_P15 = [EXP_AD_P2],16
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(p7) fma.s1 atan2_B1sq_X = atan2_B1X, atan2_B1X, 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_P4 = [EXP_AD_P1],16
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(p6) fma.s1 atan2_z = atan2_u1_Y, atan2_B1Y, f0
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nop.i 999
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}
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{ .mfi
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ldfe atan2_P14 = [EXP_AD_P2],16
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(p7) fma.s1 atan2_E = atan2_z2_X, atan2_B1X, atan2_X
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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_P3 = [EXP_AD_P1],16
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fcmp.eq.s0 p14,p15=atan2_X,atan2_Y // Dummy for denorm and invalid
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nop.i 999
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}
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{ .mmf
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ldfe atan2_P13 = [EXP_AD_P2],16
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nop.m 999
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(p7) fma.s1 atan2_z = atan2_z1_X, atan2_B1X, f0
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;;
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}
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{ .mfi
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ldfe atan2_P2 = [EXP_AD_P1],16
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(p6) fma.s1 atan2_w = atan2_wp_Y, atan2_B1sq_Y,f0
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nop.i 999
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}
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{ .mlx
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ldfe atan2_P12 = [EXP_AD_P2],16
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movl rsig_near_one = 0x8000000000000001 // signif near 1.0
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;;
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}
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{ .mfi
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ldfe atan2_P1 = [EXP_AD_P1],16
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fclass.m p9,p0 = atan2_Y, 0x23 // test if y inf
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nop.i 999
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}
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{ .mfi
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ldfe atan2_P22 = [EXP_AD_P2],16
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(p7) fma.s1 atan2_w = atan2_wp_X, atan2_B1sq_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_P0 = [EXP_AD_P1],16
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frcpa.s1 atan2_F,p0 = f1, atan2_E
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nop.i 999
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}
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{ .mfi
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ldfe atan2_pi_by_2 = [EXP_AD_P2],16
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(p6) fnma.s1 atan2_gV = atan2_Y, atan2_z, atan2_X
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nop.i 999
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;;
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}
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{ .mfi
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setf.sig atan2_sig_near_one = rsig_near_one
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(p7) fnma.s1 atan2_gV = atan2_X, atan2_z, atan2_Y
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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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(p9) fma.d.s0 f8 = atan2_sgnY, atan2_pi_by_2, f0 // +-pi/2 if y inf
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(p9) br.ret.spnt b0 // exit if y inf, result is +-pi/2
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;;
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}
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{ .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
|
|
;;
|
|
}
|
|
|
|
{ .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
|
|
;;
|
|
}
|
|
|
|
{ .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
|
|
;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fclass.m p8,p0 = atan2_Y, 0x07 // Test for y=0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2_d = atan2_alpha_cub, atan2_C, atan2_C
|
|
nop.i 999
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2_W12 = atan2_V9, atan2_W12, f0
|
|
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_W1 = atan2_V9, atan2_W5, atan2_W2
|
|
nop.i 999
|
|
;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fmerge.s f8 = atan2_sgnY, f0 // +-0 if y=0
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
fma.s1 atan2_zcub = atan2_z, atan2_w, f0
|
|
(p8) br.ret.spnt b0 // Exit if 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
|
|
;;
|
|
}
|
|
|
|
{ .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_A_hi = atan2_zcub, atan2_Pp, atan2_z
|
|
nop.i 999
|
|
;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) 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
|
|
(p7) fma.d.s0 f8 = atan2_A_hi, f1, atan2_A_lo
|
|
nop.i 999
|
|
;;
|
|
}
|
|
|
|
// For |Y| > |X|, result is +- pi/2 - (A_hi + A_lo)
|
|
// 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.
|
|
{ .mfb
|
|
nop.m 999
|
|
(p6) fnma.d.s0 f8 = atan2_A, atan2_near_one, atan2_sgn_pi_by_2
|
|
br.ret.sptk b0
|
|
;;
|
|
}
|
|
|
|
GLOBAL_LIBM_END(atan)
|
|
libm_alias_double_other (atan, atan)
|