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-.file "atan2f.s"
-
-
-// Copyright (c) 2000 - 2003, Intel Corporation
-// All rights reserved.
-//
-// Contributed 2000 by the Intel Numerics Group, Intel Corporation
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-//
-// * Redistributions of source code must retain the above copyright
-// notice, this list of conditions and the following disclaimer.
-//
-// * Redistributions in binary form must reproduce the above copyright
-// notice, this list of conditions and the following disclaimer in the
-// documentation and/or other materials provided with the distribution.
-//
-// * The name of Intel Corporation may not be used to endorse or promote
-// products derived from this software without specific prior written
-// permission.
-
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
-// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
-// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-//
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at
-// http://www.intel.com/software/products/opensource/libraries/num.htm.
-
-// History
-//==============================================================
-// 06/01/00 Initial version
-// 08/15/00 Bundle added after call to __libm_error_support to properly
-// set [the previously overwritten] GR_Parameter_RESULT.
-// 08/17/00 Changed predicate register macro-usage to direct predicate
-// names due to an assembler bug.
-// 01/05/01 Fixed flag settings for denormal input.
-// 01/19/01 Added documentation
-// 01/30/01 Improved speed
-// 02/06/02 Corrected .section statement
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 02/06/03 Reordered header: .section, .global, .proc, .align
-
-// Description
-//=========================================
-// The atan2 function computes the principle value of the arc tangent of y/x using
-// the signs of both arguments to determine the quadrant of the return value.
-// A domain error may occur if both arguments are zero.
-
-// The atan2 function returns the arc tangent of y/x in the range [-pi,+pi] radians.
-
-//..
-//..Let (v,u) = (y,x) if |y| <= |x|, and (v,u) = (x,y) otherwise. Note that
-//..v and u can be negative. We state the relationship between atan2(y,x) and
-//..atan(v/u).
-//..
-//..Let swap = false if v = y, and swap = true if v = x.
-//..Define C according to the matrix
-//..
-//.. TABLE FOR C
-//.. x +ve x -ve
-//.. no swap (swap = false) sgn(y)*0 sgn(y)*pi
-//.. swap (swap = true ) sgn(y)*pi/2 sgn(y)*pi/2
-//..
-//.. atan2(y,x) = C + atan(v/u) if no swap
-//.. atan2(y,x) = C - atan(v/u) if swap
-//..
-//..These relationship is more efficient to compute as we accommodate signs in v and u
-//..saving the need to obtain the absolute value before computation can proceed.
-//..
-//..Suppose (v,u) = (y,x), we calculate atan(v/u) as follows:
-//..A = y * frcpa(x) (so A = (y/x)(1 - beta))
-//..atan(y/x) = atan(A) + atan( ((y/x)-A))/(1 + (y/x)A) ), the second term is
-//..a correction.
-//..atan(A) is approximated by a polynomial
-//..A + p1 A^3 + p2 A^5 + ... + p10 A^21,
-//..atan(G) is approximated as follows:
-//..Let G = (y - Ax)/(x + Ay), atan(G) can be approximated by G + g * p1
-//..where g is a limited precision approximation to G via g = (y - Ax)*frcpa(x + Ay).
-//..
-//..Suppose (v,u) = (x,y), we calculate atan(v/u) as follows:
-//..Z = x * frcpa(y) (so Z = (x/y)(1 - beta))
-//..atan(x/y) = atan(Z) + atan( ((x/y)-Z))/(1 + (x/y)Z) ), the second term is
-//..a correction.
-//..atan(Z) is approximated by a polynomial
-//..Z + p1 Z^3 + p2 Z^5 + ... + p10 Z^21,
-//..atan(T) is approximated as follows:
-//..Let T = (x - Ay)/(y + Ax), atan(T) can be approximated by T + t * p1
-//..where t is a limited precision approximation to T via t = (x - Ay)*frcpa(y + Ax).
-//..
-//..
-//..A = y * frcpa(x)
-//..atan(A) ~=~ A + p1 A^3 + ... + P10 A^21
-//..
-//..This polynomial is computed as follows:
-//..Asq = A*A; Acub = A*Asq, A4 = Asq*Asq
-//..A5 = Asq*Acub, A6 = Asq*A4; A11 = A5 * A6
-//..
-//..poly_A1 = p9 + Asq*p10, poly_A2 = p7 + Asq*p8, poly_A3 = p5 + Asq*p6
-//..poly_A1 = poly_A2 + A4 * poly_A1
-//..poly_A1 = poly_A3 + A4 * poly_A1
-//..
-//..poly_A4 = p1 * A
-//,,poly_A5 = p3 + Asq * p4, poly_A4 = A + Asq*poly_A4
-//..poly_A5 = p2 + Asq * poly_A5
-//..poly_A4 = poly_A4 + A5 * poly_A5
-//..
-//..atan_A = poly_A4 + A11 * poly_A1
-//..
-//..atan(G) is approximated as follows:
-//..G_numer = y - A*x, G_denom = x + A*y
-//..H1 = frcpa(G_denom)
-//..H_beta = 1 - H1 * G_denom
-//..H2 = H1 + H1 * H_beta
-//..H_beta2 = H_beta*H_beta
-//..H3 = H2 + H2*H_beta2
-//..g = H1 * G_numer; gsq = g*g; atan_G = g*p1, atan_G = atan_G*gsq
-//..atan_G = G_numer*H3 + atan_G
-//..
-//..
-//..A = y * frcpa(x)
-//..atan(A) ~=~ A + p1 A^3 + ... + P10 A^21
-//..
-//..This polynomial is computed as follows:
-//..Asq = A*A; Acub = A*Asq, A4 = Asq*Asq
-//..A5 = Asq*Acub, A6 = Asq*A4; A11 = A5 * A6
-//..
-//..poly_A1 = p9 + Asq*p10, poly_A2 = p7 + Asq*p8, poly_A3 = p5 + Asq*p6
-//..poly_A1 = poly_A2 + A4 * poly_A1
-//..poly_A1 = poly_A3 + A4 * poly_A1
-//..
-//..poly_A4 = p1 * A
-//,,poly_A5 = p3 + Asq * p4, poly_A4 = A + Asq*poly_A4
-//..poly_A5 = p2 + Asq * poly_A5
-//..poly_A4 = poly_A4 + A5 * poly_A5
-//..
-//..atan_A = poly_A4 + A11 * poly_A1
-//..
-//..
-//..====================================================================
-//.. COEFFICIENTS USED IN THE COMPUTATION
-//..====================================================================
-
-//coef_pj, j = 1,2,...,10; atan(A) ~=~ A + p1 A^3 + p2 A^5 + ... + p10 A^21
-//
-// coef_p1 = -.3333332707155439167401311806315789E+00
-// coef_p1 in dbl = BFD5 5555 1219 1621
-//
-// coef_p2 = .1999967670926658391827857030875748E+00
-// coef_p2 in dbl = 3FC9 997E 7AFB FF4E
-//
-// coef_p3 = -.1427989384500152360161563301087296E+00
-// coef_p3 in dbl = BFC2 473C 5145 EE38
-//
-// coef_p4 = .1105852823460720770079031213661163E+00
-// coef_p4 in dbl = 3FBC 4F51 2B18 65F5
-//
-// coef_p5 = -.8811839915595312348625710228448363E-01
-// coef_p5 in dbl = BFB6 8EED 6A8C FA32
-//
-// coef_p6 = .6742329836955067042153645159059714E-01
-// coef_p6 in dbl = 3FB1 42A7 3D7C 54E3
-//
-// coef_p7 = -.4468571068774672908561591262231909E-01
-// coef_p7 in dbl = BFA6 E10B A401 393F
-//
-// coef_p8 = .2252333246746511135532726960586493E-01
-// coef_p8 in dbl = 3F97 105B 4160 F86B
-//
-// coef_p9 = -.7303884867007574742501716845542314E-02
-// coef_p9 in dbl = BF7D EAAD AA33 6451
-//
-// coef_p10 = .1109686868355312093949039454619058E-02
-// coef_p10 in dbl = 3F52 2E5D 33BC 9BAA
-//
-
-// Special values
-//==============================================================
-// Y x Result
-// +number +inf +0
-// -number +inf -0
-// +number -inf +pi
-// -number -inf -pi
-//
-// +inf +number +pi/2
-// -inf +number -pi/2
-// +inf -number +pi/2
-// -inf -number -pi/2
-//
-// +inf +inf +pi/4
-// -inf +inf -pi/4
-// +inf -inf +3pi/4
-// -inf -inf -3pi/4
-//
-// +1 +1 +pi/4
-// -1 +1 -pi/4
-// +1 -1 +3pi/4
-// -1 -1 -3pi/4
-//
-// +number +0 +pi/2 // does not raise DBZ
-// -number +0 -pi/2 // does not raise DBZ
-// +number -0 +pi/2 // does not raise DBZ
-// -number -0 -pi/2 // does not raise DBZ
-//
-// +0 +number +0
-// -0 +number -0
-// +0 -number +pi
-// -0 -number -pi
-//
-// +0 +0 +0 // does not raise invalid
-// -0 +0 -0 // does not raise invalid
-// +0 -0 +pi // does not raise invalid
-// -0 -0 -pi // does not raise invalid
-//
-// Nan anything quiet Y
-// anything NaN quiet X
-
-// atan2(+-0/+-0) sets double error tag to 37
-// atan2f(+-0/+-0) sets single error tag to 38
-// These are domain errors.
-
-
-//
-// Assembly macros
-//=========================================
-
-
-// integer registers
-atan2f_GR_Addr_1 = r33
-atan2f_GR_Addr_2 = r34
-GR_SAVE_B0 = r35
-
-GR_SAVE_PFS = r36
-GR_SAVE_GP = r37
-
-GR_Parameter_X = r38
-GR_Parameter_Y = r39
-GR_Parameter_RESULT = r40
-GR_Parameter_TAG = r41
-
-// floating point registers
-atan2f_coef_p1 = f32
-atan2f_coef_p10 = f33
-atan2f_coef_p7 = f34
-atan2f_coef_p6 = f35
-
-atan2f_coef_p3 = f36
-atan2f_coef_p2 = f37
-atan2f_coef_p9 = f38
-atan2f_coef_p8 = f39
-atan2f_coef_p5 = f40
-
-atan2f_coef_p4 = f41
-atan2f_const_piby2 = f42
-atan2f_const_pi = f43
-atan2f_const_piby4 = f44
-atan2f_const_3piby4 = f45
-
-atan2f_xsq = f46
-atan2f_ysq = f47
-atan2f_xy = f48
-atan2f_const_1 = f49
-atan2f_sgn_Y = f50
-
-atan2f_Z0 = f51
-atan2f_A0 = f52
-atan2f_Z = f53
-atan2f_A = f54
-atan2f_C = f55
-
-atan2f_U = f56
-atan2f_Usq = f57
-atan2f_U4 = f58
-atan2f_U6 = f59
-atan2f_U8 = f60
-
-atan2f_poly_u109 = f61
-atan2f_poly_u87 = f62
-atan2f_poly_u65 = f63
-atan2f_poly_u43 = f64
-atan2f_poly_u21 = f65
-
-atan2f_poly_u10to7 = f66
-atan2f_poly_u6to3 = f67
-atan2f_poly_u10to3 = f68
-atan2f_poly_u10to0 = f69
-atan2f_poly_u210 = f70
-
-atan2f_T_numer = f71
-atan2f_T_denom = f72
-atan2f_G_numer = f73
-atan2f_G_denom = f74
-atan2f_p1rnum = f75
-
-atan2f_R_denom = f76
-atan2f_R_numer = f77
-atan2f_pR = f78
-atan2f_pRC = f79
-atan2f_pQRC = f80
-
-atan2f_Q1 = f81
-atan2f_Q_beta = f82
-atan2f_Q2 = f83
-atan2f_Q_beta2 = f84
-atan2f_Q3 = f85
-
-atan2f_r = f86
-atan2f_rsq = f87
-atan2f_poly_atan_U = f88
-
-
-// predicate registers
-//atan2f_Pred_Swap = p6 // |y| > |x|
-//atan2f_Pred_noSwap = p7 // |y| <= |x|
-//atan2f_Pred_Xpos = p8 // x >= 0
-//atan2f_Pred_Xneg = p9 // x < 0
-
-
-RODATA
-
-.align 16
-
-LOCAL_OBJECT_START(atan2f_coef_table1)
-data8 0xBFD5555512191621 // p1
-data8 0x3F522E5D33BC9BAA // p10
-data8 0xBFA6E10BA401393F // p7
-data8 0x3FB142A73D7C54E3 // p6
-data8 0xBFC2473C5145EE38 // p3
-data8 0x3FC9997E7AFBFF4E // p2
-LOCAL_OBJECT_END(atan2f_coef_table1)
-
-LOCAL_OBJECT_START(atan2f_coef_table2)
-data8 0xBF7DEAADAA336451 // p9
-data8 0x3F97105B4160F86B // p8
-data8 0xBFB68EED6A8CFA32 // p5
-data8 0x3FBC4F512B1865F5 // p4
-data8 0x3ff921fb54442d18 // pi/2
-data8 0x400921fb54442d18 // pi
-data8 0x3fe921fb54442d18 // pi/4
-data8 0x4002d97c7f3321d2 // 3pi/4
-LOCAL_OBJECT_END(atan2f_coef_table2)
-
-
-
-.section .text
-GLOBAL_IEEE754_ENTRY(atan2f)
-
-{ .mfi
- alloc r32 = ar.pfs,1,5,4,0
- frcpa.s1 atan2f_Z0,p0 = f1,f8 // Approx to 1/y
- nop.i 999
-}
-{ .mfi
- addl atan2f_GR_Addr_1 = @ltoff(atan2f_coef_table1),gp
- fma.s1 atan2f_xsq = f9,f9,f0
- nop.i 999 ;;
-}
-
-
-{ .mfi
- ld8 atan2f_GR_Addr_1 = [atan2f_GR_Addr_1]
- frcpa.s1 atan2f_A0,p0 = f1,f9 // Approx to 1/x
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2f_ysq = f8,f8,f0
- nop.i 999 ;;
-}
-
-{ .mfi
- nop.m 999
- fcmp.ge.s1 p8,p9 = f9,f0 // Set p8 if x>=0, p9 if x<0
- nop.i 999
-}
-{ .mfi
- nop.m 999
- fma.s1 atan2f_xy = f9,f8,f0
- nop.i 999 ;;
-}
-
-
-{ .mfi
- add atan2f_GR_Addr_2 = 0x30, atan2f_GR_Addr_1
- fmerge.s atan2f_sgn_Y = f8,f1
- nop.i 999 ;;
-}
-
-{ .mmf
- ldfpd atan2f_coef_p1,atan2f_coef_p10 = [atan2f_GR_Addr_1],16
- ldfpd atan2f_coef_p9,atan2f_coef_p8 = [atan2f_GR_Addr_2],16
- fclass.m p10,p0 = f9,0xe7 // Test x @inf|@snan|@qnan|@zero
-}
-;;
-
-{ .mfi
- ldfpd atan2f_coef_p7,atan2f_coef_p6 = [atan2f_GR_Addr_1],16
- fma.s1 atan2f_T_denom = atan2f_Z0,atan2f_xsq,f8
- nop.i 999
-}
-{ .mfi
- ldfpd atan2f_coef_p5,atan2f_coef_p4 = [atan2f_GR_Addr_2],16
- fma.s1 atan2f_Z = atan2f_Z0,f9,f0
- nop.i 999 ;;
-}
-
-
-{ .mfi
- 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)
-
-
-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#