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Diffstat (limited to 'sysdeps/ia64/fpu/e_atan2.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_atan2.S | 1049 |
1 files changed, 0 insertions, 1049 deletions
diff --git a/sysdeps/ia64/fpu/e_atan2.S b/sysdeps/ia64/fpu/e_atan2.S deleted file mode 100644 index 7a17fbfed4..0000000000 --- a/sysdeps/ia64/fpu/e_atan2.S +++ /dev/null @@ -1,1049 +0,0 @@ -.file "atan2.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 -//============================================================== -// 02/02/00 Initial version -// 04/04/00 Unwind support added -// 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. -// 09/28/00 Updated to set invalid on SNaN inputs -// 01/19/01 Fixed flags for small results -// 04/13/01 Rescheduled to make all paths faster -// 05/20/02 Cleaned up namespace and sf0 syntax -// 08/20/02 Corrected inexact flag and directed rounding symmetry bugs -// 02/06/03 Reordered header: .section, .global, .proc, .align -// 04/17/03 Added missing mutex directive -// 12/23/03 atan2(NaN1,NaN2) now QNaN1, for consistency with atan2f, atan2l -// -// API -//============================================================== -// double atan2(double Y, double X) -// -// Overview of operation -//============================================================== -// -// The atan2 function returns values in the interval [-pi,+pi]. -// -// There are two basic paths: swap true and swap false. -// atan2(Y,X) ==> atan2(V/U) where U >= V. If Y > X, we must swap. -// -// p6 swap True |Y| > |X| -// p7 swap False |Y| <= |X| -// p8 X+ (If swap=True p8=p9=0) -// p9 X- -// -// all the other predicates p10 thru p15 are false for the main path -// -// Simple trigonometric identities show -// Region 1 (-45 to +45 degrees): -// X>0, |Y|<=X, V=Y, U=X atan2(Y,X) = sgnY * (0 + atan(V/U)) -// -// Region 2 (-90 to -45 degrees, and +45 to +90 degrees): -// X>0, |Y|>X, V=X, U=Y atan2(Y,X) = sgnY * (pi/2 - atan(V/U)) -// -// Region 3 (-135 to -90 degrees, and +90 to +135 degrees): -// X<0, |Y|>X, V=X, U=Y atan2(Y,X) = sgnY * (pi/2 + atan(V/U)) -// -// Region 4 (-180 to -135 degrees, and +135 to +180 degrees): -// X<0, |Y|<=X, V=Y, U=X atan2(Y,X) = sgnY * (pi - atan(V/U)) -// -// So the result is always of the form atan2(Y,X) = P + sgnXY * atan(V/U) -// -// We compute atan(V/U) from the identity -// atan(z) + atan([(V/U)-z] / [1+(V/U)z]) -// where z is a limited precision approximation (16 bits) to V/U -// -// z is calculated with the assistance of the frcpa instruction. -// -// atan(z) is calculated by a polynomial z + z^3 * p(w), w=z^2 -// where p(w) = P0+P1*w+...+P22*w^22 -// -// Let d = [(V/U)-z] / [1+(V/U)z]) = (V-U*z)/(U+V*z) -// -// Approximate atan(d) by d + P0*d^3 -// Let F = 1/(U+V*z) * (1-a), where |a|< 2^-8.8. -// Compute q(a) = 1 + a + ... + a^5. -// Then F*q(a) approximates the reciprocal to more than 50 bits. - -// 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 -// -number +0 -pi/2 -// +number -0 +pi/2 -// -number -0 -pi/2 -// -// +0 +number +0 -// -0 +number -0 -// +0 -number +pi -// -0 -number -pi -// -// +0 +0 +0 -// -0 +0 -0 -// +0 -0 +pi -// -0 -0 -pi -// -// Nan anything quiet Y -// Not NaN NaN quiet X - -// atan2(+-0/+-0) sets double error tag to 37 - -// Registers used -//============================================================== - -// predicate registers used: -// p6 -> p15 - -// floating-point registers used: -// f8, f9 input -// f32 -> f119 - -// general registers used -// r32 -> r41 - -// Assembly macros -//============================================================== - -EXP_AD_P1 = r33 -EXP_AD_P2 = r34 -rsig_near_one = r35 - - -GR_SAVE_B0 = r35 -GR_SAVE_GP = r36 -GR_SAVE_PFS = r37 - -GR_Parameter_X = r38 -GR_Parameter_Y = r39 -GR_Parameter_RESULT = r40 -atan2_GR_tag = r41 - -atan2_Y = f8 -atan2_X = f9 - -atan2_u1_X = f32 -atan2_u1_Y = f33 -atan2_z2_X = f34 -atan2_z2_Y = f35 - -atan2_two = f36 -atan2_B1sq_Y = f37 -atan2_z1_X = f38 -atan2_z1_Y = f39 -atan2_B1X = f40 - -atan2_B1Y = f41 -atan2_wp_X = f42 -atan2_B1sq_X = f43 -atan2_z = f44 -atan2_w = f45 - -atan2_P0 = f46 -atan2_P1 = f47 -atan2_P2 = f48 -atan2_P3 = f49 -atan2_P4 = f50 - -atan2_P5 = f51 -atan2_P6 = f52 -atan2_P7 = f53 -atan2_P8 = f54 -atan2_P9 = f55 - -atan2_P10 = f56 -atan2_P11 = f57 -atan2_P12 = f58 -atan2_P13 = f59 -atan2_P14 = f60 - -atan2_P15 = f61 -atan2_P16 = f62 -atan2_P17 = f63 -atan2_P18 = f64 -atan2_P19 = f65 - -atan2_P20 = f66 -atan2_P21 = f67 -atan2_P22 = f68 -atan2_tmp = f68 -atan2_pi_by_2 = f69 -atan2_sgn_pi_by_2 = f69 -atan2_V13 = f70 - -atan2_W11 = f71 -atan2_E = f72 -atan2_wp_Y = f73 -atan2_V11 = f74 -atan2_V12 = f75 - -atan2_V7 = f76 -atan2_V8 = f77 -atan2_W7 = f78 -atan2_W8 = f79 -atan2_W3 = f80 - -atan2_W4 = f81 -atan2_V3 = f82 -atan2_V4 = f83 -atan2_F = f84 -atan2_gV = f85 - -atan2_V10 = f86 -atan2_zcub = f87 -atan2_V6 = f88 -atan2_V9 = f89 -atan2_W10 = f90 - -atan2_W6 = f91 -atan2_W2 = f92 -atan2_V2 = f93 -atan2_alpha = f94 -atan2_alpha_1 = f95 - -atan2_gVF = f96 -atan2_V5 = f97 -atan2_W12 = f98 -atan2_W5 = f99 -atan2_alpha_sq = f100 - -atan2_Cp = f101 -atan2_V1 = f102 -atan2_ysq = f103 -atan2_W1 = f104 -atan2_alpha_cub = f105 - -atan2_C = f106 -atan2_xsq = f107 -atan2_d = f108 -atan2_A_hi = f109 -atan2_dsq = f110 - -atan2_pd = f111 -atan2_A_lo = f112 -atan2_A = f113 -atan2_Pp = f114 -atan2_sgnY = f115 - -atan2_sig_near_one = f116 -atan2_near_one = f116 -atan2_pi = f117 -atan2_sgn_pi = f117 -atan2_3pi_by_4 = f118 -atan2_pi_by_4 = f119 - - -///////////////////////////////////////////////////////////// - - -RODATA - -.align 16 - -LOCAL_OBJECT_START(atan2_tb1) -data8 0xA21922DC45605EA1 , 0x00003FFA // P11 -data8 0xB199DD6D2675C40F , 0x0000BFFA // P10 -data8 0xC2F01E5DDD100DBE , 0x00003FFA // P9 -data8 0xD78F28FC2A592781 , 0x0000BFFA // P8 -data8 0xF0F03ADB3FC930D3 , 0x00003FFA // P7 -data8 0x88887EBB209E3543 , 0x0000BFFB // P6 -data8 0x9D89D7D55C3287A5 , 0x00003FFB // P5 -data8 0xBA2E8B9793955C77 , 0x0000BFFB // P4 -data8 0xE38E38E320A8A098 , 0x00003FFB // P3 -data8 0x9249249247E37913 , 0x0000BFFC // P2 -data8 0xCCCCCCCCCCC906CD , 0x00003FFC // P1 -data8 0xAAAAAAAAAAAAA8A9 , 0x0000BFFD // P0 -data8 0xC90FDAA22168C235 , 0x00004000 // pi -LOCAL_OBJECT_END(atan2_tb1) - -LOCAL_OBJECT_START(atan2_tb2) -data8 0xCE585A259BD8374C , 0x00003FF0 // P21 -data8 0x9F90FB984D8E39D0 , 0x0000BFF3 // P20 -data8 0x9D3436AABE218776 , 0x00003FF5 // P19 -data8 0xDEC343E068A6D2A8 , 0x0000BFF6 // P18 -data8 0xF396268151CFB11C , 0x00003FF7 // P17 -data8 0xD818B4BB43D84BF2 , 0x0000BFF8 // P16 -data8 0xA2270D30A90AA220 , 0x00003FF9 // P15 -data8 0xD5F4F2182E7A8725 , 0x0000BFF9 // P14 -data8 0x80D601879218B53A , 0x00003FFA // P13 -data8 0x9297B23CCFFB291F , 0x0000BFFA // P12 -data8 0xFE7E52D2A89995B3 , 0x0000BFEC // P22 -data8 0xC90FDAA22168C235 , 0x00003FFF // pi/2 -data8 0xC90FDAA22168C235 , 0x00003FFE // pi/4 -data8 0x96cbe3f9990e91a8 , 0x00004000 // 3pi/4 -LOCAL_OBJECT_END(atan2_tb2) - - - - -.section .text -GLOBAL_IEEE754_ENTRY(atan2) - -{ .mfi - alloc r32 = ar.pfs,1,5,4,0 - frcpa.s1 atan2_u1_X,p6 = f1,atan2_X - nop.i 999 -} -{ .mfi - addl EXP_AD_P1 = @ltoff(atan2_tb1), gp - fma.s1 atan2_two = f1,f1,f1 - nop.i 999 -;; -} - -{ .mfi - ld8 EXP_AD_P1 = [EXP_AD_P1] - frcpa.s1 atan2_u1_Y,p7 = f1,atan2_Y - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 atan2_xsq = atan2_X,atan2_X,f0 - nop.i 999 -;; -} - -{ .mfi - nop.m 999 - fclass.m p10,p0 = atan2_Y, 0xc3 // Test for y=nan - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 atan2_ysq = atan2_Y,atan2_Y,f0 - nop.i 999 -} -;; - -{ .mfi - add EXP_AD_P2 = 0xd0,EXP_AD_P1 - fclass.m p12,p0 = atan2_X, 0xc3 // Test for x nan - nop.i 999 -} -;; - - -// p10 Y NAN, quiet and return -{ .mfi - ldfe atan2_P11 = [EXP_AD_P1],16 - fmerge.s atan2_sgnY = atan2_Y,f1 - nop.i 999 -} -{ .mfb - ldfe atan2_P21 = [EXP_AD_P2],16 -(p10) fma.d.s0 f8 = atan2_X,atan2_Y,f0 // If y=nan, result quietized y -(p10) br.ret.spnt b0 // Exit if y=nan -;; -} - - -{ .mfi - ldfe atan2_P10 = [EXP_AD_P1],16 - fma.s1 atan2_z1_X = atan2_u1_X, atan2_Y, f0 - nop.i 999 -} -{ .mfi - ldfe atan2_P20 = [EXP_AD_P2],16 - fnma.s1 atan2_B1X = atan2_u1_X, atan2_X, atan2_two - nop.i 999 -;; -} - -{ .mfi - ldfe atan2_P9 = [EXP_AD_P1],16 - fma.s1 atan2_z1_Y = atan2_u1_Y, atan2_X, f0 - nop.i 999 -} -{ .mfi - ldfe atan2_P19 = [EXP_AD_P2],16 - fnma.s1 atan2_B1Y = atan2_u1_Y, atan2_Y, atan2_two - nop.i 999 -} -;; - -{ .mfi - ldfe atan2_P8 = [EXP_AD_P1],16 - fma.s1 atan2_z2_X = atan2_u1_X, atan2_ysq, f0 - nop.i 999 -} -{ .mfi - ldfe atan2_P18 = [EXP_AD_P2],16 - fma.s1 atan2_z2_Y = atan2_u1_Y, atan2_xsq, f0 - nop.i 999 -} -;; - -// p10 ==> x inf y ? -// p11 ==> x !inf y ? -{ .mfi - ldfe atan2_P7 = [EXP_AD_P1],16 - fclass.m p10,p11 = atan2_X, 0x23 // test for x inf - nop.i 999 -} -{ .mfb - ldfe atan2_P17 = [EXP_AD_P2],16 -(p12) fma.d.s0 f8 = atan2_X,atan2_Y,f0 // If x nan, result quiet x -(p12) br.ret.spnt b0 // Exit for x nan -;; -} - -// p6 true if swap, means |y| > |x| or ysq > xsq -// p7 true if no swap, means |x| >= |y| or xsq >= ysq -{ .mmf - ldfe atan2_P6 = [EXP_AD_P1],16 - ldfe atan2_P16 = [EXP_AD_P2],16 - fcmp.ge.s1 p7,p6 = atan2_xsq, atan2_ysq -;; -} - -{ .mfi - ldfe atan2_P5 = [EXP_AD_P1],16 - fma.s1 atan2_wp_X = atan2_z1_X, atan2_z1_X, f0 - nop.i 999 -} -{ .mfi - ldfe atan2_P15 = [EXP_AD_P2],16 - fma.s1 atan2_B1sq_X = atan2_B1X, atan2_B1X, f0 - nop.i 999 -;; -} - -{ .mfi - ldfe atan2_P4 = [EXP_AD_P1],16 -(p6) fma.s1 atan2_wp_Y = atan2_z1_Y, atan2_z1_Y, f0 - nop.i 999 -} -{ .mfi - ldfe atan2_P14 = [EXP_AD_P2],16 -(p6) fma.s1 atan2_B1sq_Y = atan2_B1Y, atan2_B1Y, f0 - nop.i 999 -;; -} - -{ .mfi - ldfe atan2_P3 = [EXP_AD_P1],16 -(p6) fma.s1 atan2_E = atan2_z2_Y, atan2_B1Y, atan2_Y - nop.i 999 -} -{ .mfi - ldfe atan2_P13 = [EXP_AD_P2],16 -(p7) fma.s1 atan2_E = atan2_z2_X, atan2_B1X, atan2_X - nop.i 999 -;; -} - - -{ .mfi - ldfe atan2_P2 = [EXP_AD_P1],16 -(p6) fma.s1 atan2_z = atan2_z1_Y, atan2_B1Y, f0 - nop.i 999 -} -{ .mfi - ldfe atan2_P12 = [EXP_AD_P2],16 -(p7) fma.s1 atan2_z = atan2_z1_X, atan2_B1X, f0 - nop.i 999 -;; -} - - -{ .mfi - ldfe atan2_P1 = [EXP_AD_P1],16 - fcmp.eq.s0 p14,p15=atan2_X,atan2_Y // Dummy for denorm and invalid - nop.i 999 -} -{ .mlx - ldfe atan2_P22 = [EXP_AD_P2],16 - movl rsig_near_one = 0x8000000000000001 // signif near 1.0 -;; -} - - -// p12 ==> x inf y inf -// p13 ==> x inf y !inf -{ .mmf - ldfe atan2_P0 = [EXP_AD_P1],16 - ldfe atan2_pi_by_2 = [EXP_AD_P2],16 -(p10) fclass.m.unc p12,p13 = atan2_Y, 0x23 // x inf, test if y inf -;; -} - -{ .mfi - ldfe atan2_pi = [EXP_AD_P1],16 -(p6) fma.s1 atan2_w = atan2_wp_Y, atan2_B1sq_Y,f0 - nop.i 999 -} -{ .mfi - ldfe atan2_pi_by_4 = [EXP_AD_P2],16 -(p7) fma.s1 atan2_w = atan2_wp_X, atan2_B1sq_X,f0 - nop.i 999 -;; -} - -{ .mfi - ldfe atan2_3pi_by_4 = [EXP_AD_P2],16 -(p11) fclass.m.unc p9,p0 = atan2_Y, 0x23 // x not inf, test if y inf - nop.i 999 -;; -} - -{ .mfi - setf.sig atan2_sig_near_one = rsig_near_one -(p12) fcmp.gt.unc.s1 p10,p11 = atan2_X,f0 // x inf, y inf, test if x +inf - nop.i 999 -} -{ .mfi - nop.m 999 -(p6) fnma.s1 atan2_gV = atan2_Y, atan2_z, atan2_X - nop.i 999 -;; -} - -{ .mfi - nop.m 999 - frcpa.s1 atan2_F,p0 = f1, atan2_E - nop.i 999 -} -{ .mfi - nop.m 999 -(p7) fnma.s1 atan2_gV = atan2_X, atan2_z, atan2_Y - nop.i 999 -;; -} - -// p13 ==> x inf y !inf -{ .mfi - nop.m 999 -(p13) fcmp.gt.unc.s1 p14,p15 = atan2_X,f0 // x inf, y !inf, test if x +inf - nop.i 999 -} -{ .mfb - nop.m 999 -(p9) fma.d.s0 f8 = atan2_sgnY, atan2_pi_by_2, f0 // +-pi/2 if x !inf, y inf -(p9) br.ret.spnt b0 // exit if x not inf, y inf, result is +-pi/2 -;; -} - -{ .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 -;; -} - -// p8 ==> y 0 x? -// p9 ==> y !0 x? -{ .mfi - nop.m 999 - fclass.m p8,p9 = atan2_Y, 0x07 // Test for y=0 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 atan2_zcub = atan2_z, atan2_w, f0 - 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 -;; -} - -// p12 ==> y0 x0 -// p13 ==> y0 x!0 -{ .mfi - nop.m 999 -(p8) fclass.m.unc p12,p13 = atan2_X, 0x07 // y=0, test if x is 0 - 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 -;; -} - - -// p9 ==> y!0 x0 -{ .mfi - nop.m 999 -(p9) fclass.m.unc p9,p0 = atan2_X, 0x07 // y not 0, test if x is 0 - nop.i 999 -} -// p10 ==> X +INF, Y +-INF -{ .mfb - nop.m 999 -(p10) fma.d.s0 f8 = atan2_sgnY, atan2_pi_by_4, f0 // x=+inf, y=inf -(p10) br.ret.spnt b0 // Exit for x=+inf, y=inf, result is +-pi/4 -;; -} - -.pred.rel "mutex",p11,p14 -{ .mfi - nop.m 999 -(p14) fmerge.s f8 = atan2_sgnY, f0 // x=+inf, y !inf, result +-0 - nop.i 999 -} -// p11 ==> X -INF, Y +-INF -{ .mfb - nop.m 999 -(p11) fma.d.s0 f8 = atan2_sgnY, atan2_3pi_by_4, f0 // x=-inf, y=inf -(p11) br.ret.spnt b0 // Exit for x=-inf, y=inf, result is +-3pi/4 -;; -} - -{ .mfi - nop.m 999 -(p13) fcmp.gt.unc.s1 p10,p11 = atan2_X,f0 // x not 0, y=0, test if x>0 - nop.i 999 -} -{ .mfb - nop.m 999 - fma.s1 atan2_d = atan2_alpha_cub, atan2_C, atan2_C -(p14) br.ret.spnt b0 // Exit if x=+inf, y !inf, result +-0 -;; -} - -{ .mfi - nop.m 999 - fma.s1 atan2_W12 = atan2_V9, atan2_W12, f0 - nop.i 999 -} -{ .mfb - nop.m 999 -(p9) fma.d.s0 f8 = atan2_sgnY, atan2_pi_by_2, f0 // x=0, y not 0 -(p9) br.ret.spnt b0 // Exit if x=0 and y not 0, result is +-pi/2 -;; -} - -{ .mfi - nop.m 999 - fma.s1 atan2_V1 = atan2_V9, atan2_V5, atan2_V2 - nop.i 999 -} -{ .mfb - nop.m 999 - fma.s1 atan2_W1 = atan2_V9, atan2_W5, atan2_W2 -(p12) br.spnt ATAN2_ERROR // Branch if x=0 and y=0 -;; -} - -{ .mfi - nop.m 999 -(p10) fmerge.s f8 = atan2_sgnY, f0 // +-0 if x>0, y=0 - nop.i 999 -} -{ .mfb - nop.m 999 -(p11) fma.d.s0 f8 = atan2_sgnY, atan2_pi, f0 // +-pi if x<0, y=0 -(p13) br.ret.spnt b0 // Exit if x!0 and 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 -;; -} - -// p8 true if no swap and X positive -// p9 true if no swap and X negative -// both are false is swap is true -{ .mfi - nop.m 999 -(p7) fcmp.ge.unc.s1 p8,p9 = atan2_X,f0 - nop.i 999 -} -{ .mfb - nop.m 999 -(p15) fma.d.s0 f8 = atan2_sgnY, atan2_pi, f0 -(p15) br.ret.spnt b0 // Exit if x=-inf, y !inf, result +-pi -;; -} - -{ .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_sgn_pi = atan2_pi, atan2_sgnY, f0 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 atan2_A_hi = atan2_zcub, atan2_Pp, atan2_z - nop.i 999 -;; -} - - -// For |Y| <= |X| and X > 0, force inexact in case A_lo is zero -{ .mfi - nop.m 999 -(p8) fmpy.s0 atan2_tmp = atan2_P22, atan2_P22 - nop.i 999 -;; -} - -{ .mfi - nop.m 999 - 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 -(p8) fma.d.s0 f8 = atan2_A_hi, f1, atan2_A_lo - nop.i 999 -;; -} - -.pred.rel "mutex",p6,p9 -// 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. -// The perturbation also insures that the inexact flag is set. -// For |Y| > |X|, result is +- pi/2 - (A_hi + A_lo) -{ .mfi - nop.m 999 -(p6) fnma.d.s0 f8 = atan2_A, atan2_near_one, atan2_sgn_pi_by_2 - nop.i 999 -} -// For |Y| <= |X|, and X < 0, result is +- pi + (A_hi + A_lo) -{ .mfb - nop.m 999 -(p9) fma.d.s0 f8 = atan2_A, atan2_near_one, atan2_sgn_pi - br.ret.sptk b0 -;; -} - -ATAN2_ERROR: -// Here if x=0 and y=0 -{ .mfi - nop.m 999 - fclass.m p10,p11 = atan2_X,0x05 // Test if x=+0 - nop.i 999 -} -;; - -{ .mfi - mov atan2_GR_tag = 37 -(p10) fmerge.s f10 = atan2_sgnY, f0 // x=+0, y=0 - nop.i 999 -} -{ .mfi - nop.m 999 -(p11) fma.d.s0 f10 = atan2_sgnY, atan2_pi, f0 // x=-0, y=0 - nop.i 999 -;; -} -GLOBAL_IEEE754_END(atan2) - - -LOCAL_LIBM_ENTRY(__libm_error_region) -.prologue -// (1) -{ .mfi - add GR_Parameter_Y=-32,sp // Parameter 2 value - nop.f 999 -.save ar.pfs,GR_SAVE_PFS - mov GR_SAVE_PFS=ar.pfs // Save ar.pfs -} -{ .mfi -.fframe 64 - add sp=-64,sp // Create new stack - nop.f 0 - mov GR_SAVE_GP=gp // Save gp -};; - - -// (2) -{ .mmi - stfd [GR_Parameter_Y] = f8,16 // STORE Parameter 2 on stack - add GR_Parameter_X = 16,sp // Parameter 1 address -.save b0, GR_SAVE_B0 - mov GR_SAVE_B0=b0 // Save b0 -};; - -.body -// (3) -{ .mib - stfd [GR_Parameter_X] = f9 // STORE Parameter 1 on stack - add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address - nop.b 0 -} -{ .mib - stfd [GR_Parameter_Y] = f10 // STORE Parameter 3 on stack - add GR_Parameter_Y = -16,GR_Parameter_Y - br.call.sptk b0=__libm_error_support# // Call error handling function -};; -{ .mmi - add GR_Parameter_RESULT = 48,sp - nop.m 0 - nop.i 0 -};; - -// (4) -{ .mmi - ldfd 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# |