.file "atanf.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 //============================================================== // 02/20/00 Initial version // 08/17/00 Changed predicate register macro-usage to direct predicate // names due to an assembler bug. // 02/06/02 Corrected .section statement // 05/20/02 Cleaned up namespace and sf0 syntax // 02/06/03 Reordered header: .section, .global, .proc, .align; // added missing bundling // // Assembly macros //============================================================== // integer registers used EXP_Addr1 = r33 EXP_Addr2 = r34 // floating point registers used atanf_coeff_R4 = f32 atanf_coeff_R5 = f33 atanf_coeff_R1 = f34 atanf_coeff_R2 = f35 atanf_coeff_R3 = f36 atanf_coeff_P1 = f37 atanf_coeff_Q6 = f38 atanf_coeff_Q7 = f39 atanf_coeff_Q8 = f40 atanf_coeff_Q9 = f41 atanf_coeff_Q4 = f42 atanf_coeff_Q5 = f43 atanf_coeff_Q2 = f44 atanf_coeff_Q3 = f45 atanf_coeff_P5 = f46 atanf_coeff_P6 = f47 atanf_coeff_Q0 = f48 atanf_coeff_Q1 = f49 atanf_coeff_P7 = f50 atanf_coeff_P8 = f51 atanf_coeff_P3 = f52 atanf_coeff_P4 = f53 atanf_coeff_P9 = f54 atanf_coeff_P10 = f55 atanf_coeff_P2 = f56 atanf_piby2 = f57 atanf_z = f58 atanf_b = f59 atanf_zsq = f60 atanf_sgn_x = f61 atanf_sgnx_piby2 = f62 atanf_abs_x = f63 atanf_t = f64 atanf_xcub = f65 atanf_tsq = f66 atanf_t4 = f67 atanf_x5 = f68 atanf_x6 = f69 atanf_x11 = f70 atanf_poly_p1 = f71 atanf_poly_p2 = f72 atanf_poly_p3 = f73 atanf_poly_p4 = f74 atanf_poly_p5 = f75 atanf_poly_q1 = f76 atanf_poly_q2 = f77 atanf_poly_q3 = f78 atanf_poly_q4 = f79 atanf_poly_q5 = f80 atanf_poly_q = f81 atanf_poly_r1 = f81 atanf_poly_r2 = f82 atanf_poly_r3 = f83 atanf_bsq = f84 atanf_z4 = f85 atanf_z5 = f86 atanf_z8 = f87 atanf_z13 = f88 atanf_poly_r2 = f89 atanf_poly_r1 = f90 atanf_z8_bsq = f91 atanf_poly_r = f92 atanf_z21_poly_r = f93 atanf_answer = f8 // predicate registers used //atanf_pred_LE1 = p6 //atanf_pred_GT1 = p7 RODATA .align 16 LOCAL_OBJECT_START(atanf_coeff_1_table) data8 0x40c4c241be751ff2 // r4 data8 0x40e9f300c2f3070b // r5 data8 0x409babffef772075 // r3 data8 0xbfd5555512191621 // p1 data8 0x3fc9997e7afbff4e // p2 = q8 data8 0xbfd5555512191621 // p1 = q9 data8 0x3f97105b4160f86b // p8 = q2 data8 0xbfa6e10ba401393f // p7 = q3 data8 0x3f522e5d33bc9baa // p10 = q0 data8 0xbf7deaadaa336451 // p9 = q1 data8 0xbfc2473c5145ee38 // p3 data8 0x3fbc4f512b1865f5 // p4 data8 0x3fc9997e7afbff4e // p2 data8 0x3ff921fb54442d18 // pi/2 LOCAL_OBJECT_END(atanf_coeff_1_table) LOCAL_OBJECT_START(atanf_coeff_2_table) data8 0x4035000000004284 // r1 data8 0x406cdffff336a59b // r2 data8 0x3fbc4f512b1865f5 // p4 = q6 data8 0xbfc2473c5145ee38 // p3 = q7 data8 0x3fb142a73d7c54e3 // p6 = q4 data8 0xbfb68eed6a8cfa32 // p5 = q5 data8 0xbfb68eed6a8cfa32 // p5 data8 0x3fb142a73d7c54e3 // p6 data8 0xbfa6e10ba401393f // p7 data8 0x3f97105b4160f86b // p8 data8 0xbf7deaadaa336451 // p9 data8 0x3f522e5d33bc9baa // p10 LOCAL_OBJECT_END(atanf_coeff_2_table) .section .text GLOBAL_LIBM_ENTRY(atanf) { .mfi alloc r32 = ar.pfs,1,2,0,0 frcpa.s1 atanf_z,p0 = f1,f8 addl EXP_Addr2 = @ltoff(atanf_coeff_2_table),gp } { .mfi addl EXP_Addr1 = @ltoff(atanf_coeff_1_table),gp fma.s1 atanf_t = f8,f8,f0 nop.i 999;; } { .mfi nop.m 999 fmerge.s atanf_sgn_x = f8,f1 nop.i 999;; } { .mfi ld8 EXP_Addr1 = [EXP_Addr1] fmerge.s atanf_abs_x = f1,f8 nop.i 999 } { .mfi ld8 EXP_Addr2 = [EXP_Addr2] nop.f 999 nop.i 999;; } { .mfi nop.m 999 fclass.m p8,p0 = f8,0x7 // @zero nop.i 999;; } { .mfi nop.m 999 fcmp.eq.unc.s0 p9,p10 = f8,f1 nop.i 999;; } { .mfi ldfpd atanf_coeff_R4,atanf_coeff_R5 = [EXP_Addr1],16 fnma.s1 atanf_b = f8,atanf_z,f1 nop.i 999 } { .mfi ldfpd atanf_coeff_R1,atanf_coeff_R2 = [EXP_Addr2],16 fma.s1 atanf_zsq = atanf_z,atanf_z,f0 nop.i 999;; } { .mfi ldfpd atanf_coeff_R3,atanf_coeff_P1 = [EXP_Addr1],16 fma.s1 atanf_xcub = f8,atanf_t,f0 nop.i 999 } { .mfi ldfpd atanf_coeff_Q6,atanf_coeff_Q7 = [EXP_Addr2],16 fma.s1 atanf_tsq = atanf_t,atanf_t,f0 nop.i 999;; } { .mfi ldfpd atanf_coeff_Q8,atanf_coeff_Q9 = [EXP_Addr1],16 // fcmp.le.s1 atanf_pred_LE1,atanf_pred_GT1 = atanf_abs_x,f1 fcmp.le.s1 p6,p7 = atanf_abs_x,f1 nop.i 999 } { .mfi ldfpd atanf_coeff_Q4,atanf_coeff_Q5 = [EXP_Addr2],16 nop.f 999 nop.i 999;; } { .mfi ldfpd atanf_coeff_Q2,atanf_coeff_Q3 = [EXP_Addr1],16 fclass.m p8,p0 = f8,0xe7 // @inf|@qnan|@snan|@zero nop.i 999 } { .mfi ldfpd atanf_coeff_P5,atanf_coeff_P6 = [EXP_Addr2],16 nop.f 999 nop.i 999;; } { .mfi ldfpd atanf_coeff_Q0,atanf_coeff_Q1 = [EXP_Addr1],16 nop.f 999 nop.i 999 } { .mfi ldfpd atanf_coeff_P7,atanf_coeff_P8 = [EXP_Addr2],16 nop.f 999 nop.i 999;; } { .mfi ldfpd atanf_coeff_P3,atanf_coeff_P4 = [EXP_Addr1],16 fma.s1 atanf_bsq = atanf_b,atanf_b,f0 nop.i 999 } { .mfi ldfpd atanf_coeff_P9,atanf_coeff_P10 = [EXP_Addr2] fma.s1 atanf_z4 = atanf_zsq,atanf_zsq,f0 nop.i 999;; } { .mfi ldfpd atanf_coeff_P2,atanf_piby2 = [EXP_Addr1] fma.s1 atanf_x6 = atanf_t,atanf_tsq,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_t4 = atanf_tsq,atanf_tsq,f0 nop.i 999;; } { .mfb nop.m 999 fma.s1 atanf_x5 = atanf_t,atanf_xcub,f0 (p8) br.cond.spnt ATANF_X_INF_NAN_ZERO } ;; { .mfi nop.m 999 fma.s1 atanf_poly_r1 = atanf_b,atanf_coeff_R1,f1 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_r3 = atanf_b,atanf_coeff_R5,atanf_coeff_R4 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_r2 = atanf_b,atanf_coeff_R3,atanf_coeff_R2 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_z8 = atanf_z4,atanf_z4,f0 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_q2 = atanf_t,atanf_coeff_Q5,atanf_coeff_Q4 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_q3 = atanf_t,atanf_coeff_Q7,atanf_coeff_Q6 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_z5 = atanf_z,atanf_z4,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_q1 = atanf_t,atanf_coeff_Q9,atanf_coeff_Q8 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_q4 = atanf_t,atanf_coeff_Q1,atanf_coeff_Q0 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_q5 = atanf_t,atanf_coeff_Q3,atanf_coeff_Q2 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_p4 = f8,atanf_coeff_P1,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_p5 = atanf_t,atanf_coeff_P4,atanf_coeff_P3 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_r1 = atanf_z8,atanf_poly_r1,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_z8_bsq = atanf_z8,atanf_bsq,f0 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_q2 = atanf_tsq,atanf_poly_q3,atanf_poly_q2 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_r2 = atanf_bsq,atanf_poly_r3,atanf_poly_r2 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_p2 = atanf_t,atanf_coeff_P8,atanf_coeff_P7 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_q1 = atanf_poly_q1,f1,atanf_tsq nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_z13 = atanf_z5,atanf_z8,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_p1 = atanf_t,atanf_coeff_P10,atanf_coeff_P9 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_p4 = atanf_t,atanf_poly_p4,f8 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_q4 = atanf_tsq,atanf_poly_q5,atanf_poly_q4 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_p3 = atanf_t,atanf_coeff_P6,atanf_coeff_P5 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_p5 = atanf_t,atanf_poly_p5,atanf_coeff_P2 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_x11 = atanf_x5,atanf_x6,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_r = atanf_z8_bsq,atanf_poly_r2,atanf_poly_r1 nop.i 999;; } { .mfi nop.m 999 fma.s0 atanf_sgnx_piby2 = atanf_sgn_x,atanf_piby2,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 atanf_poly_q2 = atanf_t4,atanf_poly_q1,atanf_poly_q2 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_p1 = atanf_tsq,atanf_poly_p1,atanf_poly_p2 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_p4 = atanf_x5,atanf_poly_p5,atanf_poly_p4 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_z21_poly_r = atanf_z13,atanf_poly_r,f0 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_q = atanf_t4,atanf_poly_q2,atanf_poly_q4 nop.i 999;; } { .mfi nop.m 999 fma.s1 atanf_poly_p1 = atanf_tsq,atanf_poly_p1,atanf_poly_p3 nop.i 999;; } { .mfi nop.m 999 //(atanf_pred_GT1) fnma.s atanf_answer = atanf_poly_q,atanf_z21_poly_r,atanf_sgnx_piby2 (p7) fnma.s.s0 atanf_answer = atanf_poly_q,atanf_z21_poly_r,atanf_sgnx_piby2 nop.i 999;; } { .mfb nop.m 999 //(atanf_pred_LE1) fma.s atanf_answer = atanf_x11,atanf_poly_p1,atanf_poly_p4 (p6) fma.s.s0 atanf_answer = atanf_x11,atanf_poly_p1,atanf_poly_p4 br.ret.sptk b0 } ATANF_X_INF_NAN_ZERO: { .mfi nop.m 0 fclass.m p8,p9 = f8,0x23 // @inf nop.i 0 } ;; { .mfi nop.m 0 (p8) fmerge.s f8 = f8, atanf_piby2 nop.i 0 } ;; { .mfb nop.m 0 fnorm.s.s0 f8 = f8 br.ret.sptk b0 } ;; GLOBAL_LIBM_END(atanf)