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Diffstat (limited to 'ports/sysdeps/ia64/fpu/e_atan2f.S')
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diff --git a/ports/sysdeps/ia64/fpu/e_atan2f.S b/ports/sysdeps/ia64/fpu/e_atan2f.S new file mode 100644 index 0000000000..5ff561d7ca --- /dev/null +++ b/ports/sysdeps/ia64/fpu/e_atan2f.S @@ -0,0 +1,900 @@ +.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# |