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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>
901 lines
23 KiB
ArmAsm
901 lines
23 KiB
ArmAsm
.file "atan2f.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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// History
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//==============================================================
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// 06/01/00 Initial version
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// 08/15/00 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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// 08/17/00 Changed predicate register macro-usage to direct predicate
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// names due to an assembler bug.
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// 01/05/01 Fixed flag settings for denormal input.
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// 01/19/01 Added documentation
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// 01/30/01 Improved speed
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// 02/06/02 Corrected .section statement
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// 05/20/02 Cleaned up namespace and sf0 syntax
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// 02/06/03 Reordered header: .section, .global, .proc, .align
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// Description
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//=========================================
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// The atan2 function computes the principle value of the arc tangent of y/x using
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// the signs of both arguments to determine the quadrant of the return value.
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// A domain error may occur if both arguments are zero.
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// The atan2 function returns the arc tangent of y/x in the range [-pi,+pi] radians.
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//..
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//..Let (v,u) = (y,x) if |y| <= |x|, and (v,u) = (x,y) otherwise. Note that
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//..v and u can be negative. We state the relationship between atan2(y,x) and
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//..atan(v/u).
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//..
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//..Let swap = false if v = y, and swap = true if v = x.
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//..Define C according to the matrix
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//..
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//.. TABLE FOR C
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//.. x +ve x -ve
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//.. no swap (swap = false) sgn(y)*0 sgn(y)*pi
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//.. swap (swap = true ) sgn(y)*pi/2 sgn(y)*pi/2
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//..
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//.. atan2(y,x) = C + atan(v/u) if no swap
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//.. atan2(y,x) = C - atan(v/u) if swap
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//..
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//..These relationship is more efficient to compute as we accommodate signs in v and u
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//..saving the need to obtain the absolute value before computation can proceed.
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//..
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//..Suppose (v,u) = (y,x), we calculate atan(v/u) as follows:
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//..A = y * frcpa(x) (so A = (y/x)(1 - beta))
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//..atan(y/x) = atan(A) + atan( ((y/x)-A))/(1 + (y/x)A) ), the second term is
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//..a correction.
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//..atan(A) is approximated by a polynomial
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//..A + p1 A^3 + p2 A^5 + ... + p10 A^21,
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//..atan(G) is approximated as follows:
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//..Let G = (y - Ax)/(x + Ay), atan(G) can be approximated by G + g * p1
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//..where g is a limited precision approximation to G via g = (y - Ax)*frcpa(x + Ay).
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//..
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//..Suppose (v,u) = (x,y), we calculate atan(v/u) as follows:
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//..Z = x * frcpa(y) (so Z = (x/y)(1 - beta))
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//..atan(x/y) = atan(Z) + atan( ((x/y)-Z))/(1 + (x/y)Z) ), the second term is
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//..a correction.
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//..atan(Z) is approximated by a polynomial
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//..Z + p1 Z^3 + p2 Z^5 + ... + p10 Z^21,
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//..atan(T) is approximated as follows:
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//..Let T = (x - Ay)/(y + Ax), atan(T) can be approximated by T + t * p1
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//..where t is a limited precision approximation to T via t = (x - Ay)*frcpa(y + Ax).
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//..
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//..
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//..A = y * frcpa(x)
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//..atan(A) ~=~ A + p1 A^3 + ... + P10 A^21
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//..
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//..This polynomial is computed as follows:
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//..Asq = A*A; Acub = A*Asq, A4 = Asq*Asq
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//..A5 = Asq*Acub, A6 = Asq*A4; A11 = A5 * A6
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//..
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//..poly_A1 = p9 + Asq*p10, poly_A2 = p7 + Asq*p8, poly_A3 = p5 + Asq*p6
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//..poly_A1 = poly_A2 + A4 * poly_A1
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//..poly_A1 = poly_A3 + A4 * poly_A1
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//..
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//..poly_A4 = p1 * A
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//,,poly_A5 = p3 + Asq * p4, poly_A4 = A + Asq*poly_A4
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//..poly_A5 = p2 + Asq * poly_A5
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//..poly_A4 = poly_A4 + A5 * poly_A5
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//..
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//..atan_A = poly_A4 + A11 * poly_A1
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//..
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//..atan(G) is approximated as follows:
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//..G_numer = y - A*x, G_denom = x + A*y
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//..H1 = frcpa(G_denom)
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//..H_beta = 1 - H1 * G_denom
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//..H2 = H1 + H1 * H_beta
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//..H_beta2 = H_beta*H_beta
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//..H3 = H2 + H2*H_beta2
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//..g = H1 * G_numer; gsq = g*g; atan_G = g*p1, atan_G = atan_G*gsq
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//..atan_G = G_numer*H3 + atan_G
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//..
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//..
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//..A = y * frcpa(x)
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//..atan(A) ~=~ A + p1 A^3 + ... + P10 A^21
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//..
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//..This polynomial is computed as follows:
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//..Asq = A*A; Acub = A*Asq, A4 = Asq*Asq
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//..A5 = Asq*Acub, A6 = Asq*A4; A11 = A5 * A6
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//..
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//..poly_A1 = p9 + Asq*p10, poly_A2 = p7 + Asq*p8, poly_A3 = p5 + Asq*p6
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//..poly_A1 = poly_A2 + A4 * poly_A1
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//..poly_A1 = poly_A3 + A4 * poly_A1
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//..
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//..poly_A4 = p1 * A
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//,,poly_A5 = p3 + Asq * p4, poly_A4 = A + Asq*poly_A4
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//..poly_A5 = p2 + Asq * poly_A5
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//..poly_A4 = poly_A4 + A5 * poly_A5
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//..
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//..atan_A = poly_A4 + A11 * poly_A1
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//..
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//..
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//..====================================================================
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//.. COEFFICIENTS USED IN THE COMPUTATION
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//..====================================================================
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//coef_pj, j = 1,2,...,10; atan(A) ~=~ A + p1 A^3 + p2 A^5 + ... + p10 A^21
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//
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// coef_p1 = -.3333332707155439167401311806315789E+00
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// coef_p1 in dbl = BFD5 5555 1219 1621
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//
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// coef_p2 = .1999967670926658391827857030875748E+00
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// coef_p2 in dbl = 3FC9 997E 7AFB FF4E
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//
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// coef_p3 = -.1427989384500152360161563301087296E+00
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// coef_p3 in dbl = BFC2 473C 5145 EE38
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//
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// coef_p4 = .1105852823460720770079031213661163E+00
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// coef_p4 in dbl = 3FBC 4F51 2B18 65F5
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//
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// coef_p5 = -.8811839915595312348625710228448363E-01
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// coef_p5 in dbl = BFB6 8EED 6A8C FA32
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//
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// coef_p6 = .6742329836955067042153645159059714E-01
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// coef_p6 in dbl = 3FB1 42A7 3D7C 54E3
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//
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// coef_p7 = -.4468571068774672908561591262231909E-01
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// coef_p7 in dbl = BFA6 E10B A401 393F
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//
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// coef_p8 = .2252333246746511135532726960586493E-01
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// coef_p8 in dbl = 3F97 105B 4160 F86B
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//
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// coef_p9 = -.7303884867007574742501716845542314E-02
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// coef_p9 in dbl = BF7D EAAD AA33 6451
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//
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// coef_p10 = .1109686868355312093949039454619058E-02
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// coef_p10 in dbl = 3F52 2E5D 33BC 9BAA
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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 // does not raise DBZ
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// -number +0 -pi/2 // does not raise DBZ
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// +number -0 +pi/2 // does not raise DBZ
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// -number -0 -pi/2 // does not raise DBZ
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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 // does not raise invalid
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// -0 +0 -0 // does not raise invalid
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// +0 -0 +pi // does not raise invalid
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// -0 -0 -pi // does not raise invalid
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//
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// Nan anything quiet Y
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// anything NaN quiet X
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// atan2(+-0/+-0) sets double error tag to 37
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// atan2f(+-0/+-0) sets single error tag to 38
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// These are domain errors.
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//
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// Assembly macros
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//=========================================
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// integer registers
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atan2f_GR_Addr_1 = r33
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atan2f_GR_Addr_2 = r34
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GR_SAVE_B0 = r35
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GR_SAVE_PFS = r36
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GR_SAVE_GP = 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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GR_Parameter_TAG = r41
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// floating point registers
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atan2f_coef_p1 = f32
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atan2f_coef_p10 = f33
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atan2f_coef_p7 = f34
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atan2f_coef_p6 = f35
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atan2f_coef_p3 = f36
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atan2f_coef_p2 = f37
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atan2f_coef_p9 = f38
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atan2f_coef_p8 = f39
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atan2f_coef_p5 = f40
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atan2f_coef_p4 = f41
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atan2f_const_piby2 = f42
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atan2f_const_pi = f43
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atan2f_const_piby4 = f44
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atan2f_const_3piby4 = f45
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atan2f_xsq = f46
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atan2f_ysq = f47
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atan2f_xy = f48
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atan2f_const_1 = f49
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atan2f_sgn_Y = f50
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atan2f_Z0 = f51
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atan2f_A0 = f52
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atan2f_Z = f53
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atan2f_A = f54
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atan2f_C = f55
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atan2f_U = f56
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atan2f_Usq = f57
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atan2f_U4 = f58
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atan2f_U6 = f59
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atan2f_U8 = f60
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atan2f_poly_u109 = f61
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atan2f_poly_u87 = f62
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atan2f_poly_u65 = f63
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atan2f_poly_u43 = f64
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atan2f_poly_u21 = f65
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atan2f_poly_u10to7 = f66
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atan2f_poly_u6to3 = f67
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atan2f_poly_u10to3 = f68
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atan2f_poly_u10to0 = f69
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atan2f_poly_u210 = f70
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atan2f_T_numer = f71
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atan2f_T_denom = f72
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atan2f_G_numer = f73
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atan2f_G_denom = f74
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atan2f_p1rnum = f75
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atan2f_R_denom = f76
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atan2f_R_numer = f77
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atan2f_pR = f78
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atan2f_pRC = f79
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atan2f_pQRC = f80
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atan2f_Q1 = f81
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atan2f_Q_beta = f82
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atan2f_Q2 = f83
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atan2f_Q_beta2 = f84
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atan2f_Q3 = f85
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atan2f_r = f86
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atan2f_rsq = f87
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atan2f_poly_atan_U = f88
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// predicate registers
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//atan2f_Pred_Swap = p6 // |y| > |x|
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//atan2f_Pred_noSwap = p7 // |y| <= |x|
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//atan2f_Pred_Xpos = p8 // x >= 0
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//atan2f_Pred_Xneg = p9 // x < 0
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RODATA
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.align 16
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LOCAL_OBJECT_START(atan2f_coef_table1)
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data8 0xBFD5555512191621 // p1
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data8 0x3F522E5D33BC9BAA // p10
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data8 0xBFA6E10BA401393F // p7
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data8 0x3FB142A73D7C54E3 // p6
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data8 0xBFC2473C5145EE38 // p3
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data8 0x3FC9997E7AFBFF4E // p2
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LOCAL_OBJECT_END(atan2f_coef_table1)
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LOCAL_OBJECT_START(atan2f_coef_table2)
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data8 0xBF7DEAADAA336451 // p9
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data8 0x3F97105B4160F86B // p8
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data8 0xBFB68EED6A8CFA32 // p5
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data8 0x3FBC4F512B1865F5 // p4
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data8 0x3ff921fb54442d18 // pi/2
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data8 0x400921fb54442d18 // pi
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data8 0x3fe921fb54442d18 // pi/4
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data8 0x4002d97c7f3321d2 // 3pi/4
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LOCAL_OBJECT_END(atan2f_coef_table2)
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.section .text
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GLOBAL_IEEE754_ENTRY(atan2f)
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{ .mfi
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alloc r32 = ar.pfs,1,5,4,0
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frcpa.s1 atan2f_Z0,p0 = f1,f8 // Approx to 1/y
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nop.i 999
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}
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{ .mfi
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addl atan2f_GR_Addr_1 = @ltoff(atan2f_coef_table1),gp
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fma.s1 atan2f_xsq = f9,f9,f0
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nop.i 999 ;;
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}
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{ .mfi
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ld8 atan2f_GR_Addr_1 = [atan2f_GR_Addr_1]
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frcpa.s1 atan2f_A0,p0 = f1,f9 // Approx to 1/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 atan2f_ysq = f8,f8,f0
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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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fcmp.ge.s1 p8,p9 = f9,f0 // Set p8 if x>=0, p9 if x<0
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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 atan2f_xy = f9,f8,f0
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nop.i 999 ;;
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}
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{ .mfi
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add atan2f_GR_Addr_2 = 0x30, atan2f_GR_Addr_1
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fmerge.s atan2f_sgn_Y = f8,f1
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nop.i 999 ;;
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}
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{ .mmf
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ldfpd atan2f_coef_p1,atan2f_coef_p10 = [atan2f_GR_Addr_1],16
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ldfpd atan2f_coef_p9,atan2f_coef_p8 = [atan2f_GR_Addr_2],16
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fclass.m p10,p0 = f9,0xe7 // Test x @inf|@snan|@qnan|@zero
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}
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;;
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{ .mfi
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ldfpd atan2f_coef_p7,atan2f_coef_p6 = [atan2f_GR_Addr_1],16
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fma.s1 atan2f_T_denom = atan2f_Z0,atan2f_xsq,f8
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nop.i 999
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}
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{ .mfi
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ldfpd atan2f_coef_p5,atan2f_coef_p4 = [atan2f_GR_Addr_2],16
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fma.s1 atan2f_Z = atan2f_Z0,f9,f0
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nop.i 999 ;;
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}
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{ .mfi
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ldfpd atan2f_coef_p3,atan2f_coef_p2 = [atan2f_GR_Addr_1],16
|
|
fma.s1 atan2f_G_denom = atan2f_A0,atan2f_ysq,f9
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
ldfpd atan2f_const_piby2,atan2f_const_pi = [atan2f_GR_Addr_2],16
|
|
fma.s1 atan2f_A = atan2f_A0,f8,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
ldfpd atan2f_const_piby4,atan2f_const_3piby4 = [atan2f_GR_Addr_2]
|
|
fclass.m p11,p0 = f8,0xe7 // Test y @inf|@snan|@qnan|@zero
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
fnma.s1 atan2f_T_numer = atan2f_Z0,atan2f_xy,f9
|
|
(p10) br.cond.spnt ATAN2F_XY_INF_NAN_ZERO ;; // Branch on x nan,inf,zero
|
|
}
|
|
|
|
|
|
// p6 if |y|>|x|, p7 if |x|>=|y| , use xsq and ysq for test
|
|
{ .mfi
|
|
nop.m 999
|
|
fcmp.gt.s1 p6,p7 = atan2f_ysq,atan2f_xsq
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
fnma.s1 atan2f_G_numer = atan2f_A0,atan2f_xy,f8
|
|
(p11) br.cond.spnt ATAN2F_XY_INF_NAN_ZERO ;; // Branch on y nan,inf,zero
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fma.s1 atan2f_const_1 = atan2f_sgn_Y,f0,f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p9) fma.s1 atan2f_const_1 = atan2f_sgn_Y,f1,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) fnma.s1 atan2f_U = atan2f_Z,f1,f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) fma.s1 atan2f_Usq = atan2f_Z,atan2f_Z,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p7) fma.s1 atan2f_U = atan2f_A,f1,f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p7) fma.s1 atan2f_Usq = atan2f_A,atan2f_A,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) frcpa.s1 atan2f_Q1,p0 = f1,atan2f_T_denom
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) fma.s1 atan2f_R_denom = atan2f_T_denom,f1,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p7) frcpa.s1 atan2f_Q1,p0 = f1,atan2f_G_denom
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p7) fma.s1 atan2f_R_denom = atan2f_G_denom,f1,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) fnma.s1 atan2f_R_numer = atan2f_T_numer,f1,f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p7) fma.s1 atan2f_R_numer = atan2f_G_numer,f1,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) fnma.s1 atan2f_p1rnum = atan2f_T_numer,atan2f_coef_p1,f0
|
|
nop.i 999 ;;
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p7) fma.s1 atan2f_p1rnum = atan2f_G_numer,atan2f_coef_p1,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_U4 = atan2f_Usq,atan2f_Usq,f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u109 = atan2f_Usq,atan2f_coef_p10,atan2f_coef_p9
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u87 = atan2f_Usq,atan2f_coef_p8,atan2f_coef_p7
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u65 = atan2f_Usq,atan2f_coef_p6,atan2f_coef_p5
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u43 = atan2f_Usq,atan2f_coef_p4,atan2f_coef_p3
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fnma.s1 atan2f_Q_beta = atan2f_Q1,atan2f_R_denom,f1
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u21 = atan2f_Usq,atan2f_coef_p2,atan2f_coef_p1
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_r = atan2f_Q1,atan2f_R_numer,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) fma.s1 atan2f_C = atan2f_sgn_Y,atan2f_const_piby2,f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p7) fma.s1 atan2f_C = atan2f_const_1,atan2f_const_pi,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_U6 = atan2f_U4,atan2f_Usq,f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_U8 = atan2f_U4,atan2f_U4,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u10to7 = atan2f_U4,atan2f_poly_u109,atan2f_poly_u87
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_pR = atan2f_p1rnum,atan2f_Q1,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u6to3 = atan2f_U4,atan2f_poly_u65,atan2f_poly_u43
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_Q2 = atan2f_Q1,atan2f_Q_beta,atan2f_Q1
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_Q_beta2 = atan2f_Q_beta,atan2f_Q_beta,f0
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_rsq = atan2f_r,atan2f_r,f0
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u210 = atan2f_Usq,atan2f_poly_u21,f1
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fcmp.eq.s0 p8,p0 = f8,f9 // Dummy op to set flag on denormal inputs
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u10to3 = atan2f_U8,atan2f_poly_u10to7,atan2f_poly_u6to3
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_Q3 = atan2f_Q2,atan2f_Q_beta2,atan2f_Q2
|
|
nop.i 999
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_pRC = atan2f_rsq,atan2f_pR,atan2f_C
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_poly_u10to0 = atan2f_U6,atan2f_poly_u10to3,atan2f_poly_u210
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s1 atan2f_pQRC = atan2f_R_numer,atan2f_Q3,atan2f_pRC
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{ .mfb
|
|
nop.m 999
|
|
fma.s.s0 f8 = atan2f_U,atan2f_poly_u10to0,atan2f_pQRC
|
|
br.ret.sptk b0 ;;
|
|
}
|
|
|
|
|
|
|
|
ATAN2F_XY_INF_NAN_ZERO:
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fclass.m p10,p0 = f8,0xc3 // Is y nan
|
|
nop.i 999
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fclass.m p12,p0 = f9,0xc3 // Is x nan
|
|
nop.i 999
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fclass.m p6,p0 = f9,0x21 // Is x +inf
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
(p10) fma.s.s0 f8 = f9,f8,f0 // Result quietized y if y is nan
|
|
(p10) br.ret.spnt b0 // Exit if y is nan
|
|
}
|
|
;;
|
|
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) fclass.m.unc p7,p8 = f8,0x23 // x +inf, is y inf
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
(p12) fnorm.s.s0 f8 = f9 // Result quietized x if x is nan, y not nan
|
|
(p12) br.ret.spnt b0 // Exit if x is nan, y not nan
|
|
}
|
|
;;
|
|
|
|
// Here if x or y inf, or x or y zero
|
|
{ .mfi
|
|
nop.m 999
|
|
fcmp.eq.s0 p15,p0 = f8,f9 // Dummy op to set flag on denormal inputs
|
|
nop.i 999
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fclass.m p11,p12 = f9,0x22 // Is x -inf
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
(p7) fma.s.s0 f8 = atan2f_sgn_Y, atan2f_const_piby4,f0 // Result +-pi/4
|
|
(p7) br.ret.spnt b0 // Exit if x +inf and y inf
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
nop.m 999
|
|
(p8) fmerge.s f8 = f8,f0 // If x +inf and y not inf, result +-0
|
|
(p8) br.ret.spnt b0 // Exit if x +inf and y not inf
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p12) fclass.m.unc p13,p0 = f8,0x23 // x not -inf, is y inf
|
|
nop.i 999
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p11) fclass.m.unc p14,p15 = f8,0x23 // x -inf, is y inf
|
|
nop.i 999
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fclass.m p6,p7 = f9,0x7 // Is x zero
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
(p13) fma.s.s0 f8 = atan2f_sgn_Y, atan2f_const_piby2,f0 // Result +-pi/2
|
|
(p13) br.ret.spnt b0 // Exit if x not -inf and y inf
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p14) fma.s.s0 f8 = atan2f_sgn_Y, atan2f_const_3piby4,f0 // Result +-3pi/4
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
(p15) fma.s.s0 f8 = atan2f_sgn_Y, atan2f_const_pi,f0 // Result +-pi
|
|
(p11) br.ret.spnt b0 // Exit if x -inf
|
|
}
|
|
;;
|
|
|
|
// Here if x or y zero
|
|
{ .mfi
|
|
nop.m 999
|
|
(p7) fclass.m.unc p8,p9 = f9,0x19 // x not zero, y zero, is x > zero
|
|
nop.i 999
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p6) fclass.m.unc p10,p11 = f8,0x7 // x zero, is y zero
|
|
nop.i 999
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
(p8) fmerge.s f8 = f8, f0 // x > zero and y zero, result is +-zero
|
|
nop.i 999
|
|
}
|
|
{ .mfb
|
|
nop.m 999
|
|
(p9) fma.s.s0 f8 = atan2f_sgn_Y, atan2f_const_pi,f0 // x < 0, y 0, result +-pi
|
|
(p10) br.cond.spnt __libm_error_region // Branch if x zero and y zero
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
nop.m 999
|
|
(p11) fma.s.s0 f8 = atan2f_sgn_Y, atan2f_const_piby2,f0 // x zero, y not zero
|
|
br.ret.sptk b0 // Final special case exit
|
|
}
|
|
;;
|
|
|
|
|
|
GLOBAL_IEEE754_END(atan2f)
|
|
libm_alias_float_other (__atan2, atan2)
|
|
|
|
|
|
LOCAL_LIBM_ENTRY(__libm_error_region)
|
|
.prologue
|
|
mov GR_Parameter_TAG = 38
|
|
fclass.m p10,p11 = f9,0x5 // @zero | @pos
|
|
;;
|
|
(p10) fmerge.s f10 = f8, f0
|
|
(p11) fma.s.s0 f10 = atan2f_sgn_Y, atan2f_const_pi,f0
|
|
;;
|
|
|
|
{ .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
|
|
}
|
|
;;
|
|
|
|
{ .mmi
|
|
stfs [GR_Parameter_Y] = f9,16 // 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
|
|
{ .mib
|
|
stfs [GR_Parameter_X] = f8 // Store Parameter 1 on stack
|
|
add GR_Parameter_RESULT = 0,GR_Parameter_Y
|
|
nop.b 0 // Parameter 3 address
|
|
}
|
|
{ .mib
|
|
stfs [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
|
|
};;
|
|
|
|
{ .mmi
|
|
ldfs 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#
|