.file "asin.s" // Copyright (C) 2000, 2001, Intel Corporation // All rights reserved. // // Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, // and Ping Tak Peter Tang of the Computational Software Lab, 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://developer.intel.com/opensource. // History //============================================================== // 2/02/00 Initial version // 8/17/00 New and much faster algorithm. // 8/31/00 Avoided bank conflicts on loads, shortened |x|=1 path, // fixed mfb split issue stalls. // 12/19/00 Fixed small arg cases to force inexact, or inexact and underflow. // Description //========================================= // The asin function computes the principle value of the arc sine of x. // asin(0) returns 0, asin(1) returns pi/2, asin(-1) returns -pi/2. // A doman error occurs for arguments not in the range [-1,+1]. // The asin function returns the arc sine in the range [-pi/2, +pi/2] radians. #include "libm_support.h" // // Assembly macros //========================================= // predicate registers //asin_pred_LEsqrt2by2 = p7 //asin_pred_GTsqrt2by2 = p8 // integer registers ASIN_Addr1 = r33 ASIN_Addr2 = r34 ASIN_FFFE = r35 ASIN_lnorm_sig = r36 ASIN_snorm_exp = r37 GR_SAVE_B0 = r36 GR_SAVE_PFS = r37 GR_SAVE_GP = r38 GR_Parameter_X = r39 GR_Parameter_Y = r40 GR_Parameter_RESULT = r41 GR_Parameter_Tag = r42 // floating point registers asin_coeff_P1 = f32 asin_coeff_P2 = f33 asin_coeff_P3 = f34 asin_coeff_P4 = f35 asin_coeff_P5 = f36 asin_coeff_P6 = f37 asin_coeff_P7 = f38 asin_coeff_P8 = f39 asin_coeff_P9 = f40 asin_coeff_P10 = f41 asin_coeff_P11 = f42 asin_coeff_P12 = f43 asin_coeff_P13 = f44 asin_coeff_P14 = f45 asin_coeff_P15 = f46 asin_coeff_P16 = f47 asin_coeff_P17 = f48 asin_coeff_P18 = f49 asin_coeff_P19 = f50 asin_coeff_P20 = f51 asin_coeff_P21 = f52 asin_const_sqrt2by2 = f53 asin_const_piby2 = f54 asin_abs_x = f55 asin_tx = f56 asin_tx2 = f57 asin_tx3 = f58 asin_tx4 = f59 asin_tx8 = f60 asin_tx11 = f61 asin_1poly_p8 = f62 asin_1poly_p19 = f63 asin_1poly_p4 = f64 asin_1poly_p15 = f65 asin_1poly_p6 = f66 asin_1poly_p17 = f67 asin_1poly_p0 = f68 asin_1poly_p11 = f69 asin_1poly_p2 = f70 asin_1poly_p13 = f71 asin_series_tx = f72 asin_t = f73 asin_t2 = f74 asin_t3 = f75 asin_t4 = f76 asin_t8 = f77 asin_t11 = f78 asin_poly_p8 = f79 asin_poly_p19 = f80 asin_poly_p4 = f81 asin_poly_p15 = f82 asin_poly_p6 = f83 asin_poly_p17 = f84 asin_poly_p0 = f85 asin_poly_p11 = f86 asin_poly_p2 = f87 asin_poly_p13 = f88 asin_series_t = f89 asin_1by2 = f90 asin_3by2 = f91 asin_5by2 = f92 asin_11by4 = f93 asin_35by8 = f94 asin_63by8 = f95 asin_231by16 = f96 asin_y0 = f97 asin_H0 = f98 asin_S0 = f99 asin_d = f100 asin_l1 = f101 asin_d2 = f102 asin_T0 = f103 asin_d1 = f104 asin_e0 = f105 asin_l2 = f106 asin_d3 = f107 asin_T3 = f108 asin_S1 = f109 asin_e1 = f110 asin_z = f111 answer2 = f112 asin_sgn_x = f113 asin_429by16 = f114 asin_18by4 = f115 asin_3by4 = f116 asin_l3 = f117 asin_T6 = f118 asin_eps_exp = f119 asin_eps_sig = f120 asin_eps = f120 // Data tables //============================================================== #ifdef _LIBC .rodata #else .data #endif .align 16 asin_coeff_1_table: ASM_TYPE_DIRECTIVE(asin_coeff_1_table,@object) data8 0xE4E7E0A423A21249 , 0x00003FF8 //P7 data8 0xC2F7EE0200FCE2A5 , 0x0000C003 //P18 data8 0xB745D7F6C65C20E0 , 0x00003FF9 //P5 data8 0xF75E381A323D4D94 , 0x0000C002 //P16 data8 0x8959C2629C1024C0 , 0x0000C002 //P20 data8 0xAFF68E7D241292C5 , 0x00003FF8 //P9 data8 0xB6DB6DB7260AC30D , 0x00003FFA //P3 data8 0xD0417CE2B41CB7BF , 0x0000C000 //P14 data8 0x81D570FEA724E3E4 , 0x0000BFFD //P12 data8 0xAAAAAAAAAAAAC277 , 0x00003FFC //P1 data8 0xF534912FF3E7B76F , 0x00003FFF //P21 data8 0xc90fdaa22168c235 , 0x00003fff // pi/2 data8 0x0000000000000000 , 0x00000000 // pad to avoid data bank conflict ASM_SIZE_DIRECTIVE(asin_coeff_1_table) asin_coeff_2_table: ASM_TYPE_DIRECTIVE(asin_coeff_2_table,@object) data8 0x8E26AF5F29B39A2A , 0x00003FF9 //P6 data8 0xB4F118A4B1015470 , 0x00004003 //P17 data8 0xF8E38E10C25990E0 , 0x00003FF9 //P4 data8 0x80F50489AEF1CAC6 , 0x00004002 //P15 data8 0x92728015172CFE1C , 0x00004003 //P19 data8 0xBBC3D831D4595971 , 0x00003FF8 //P8 data8 0x999999999952A5C3 , 0x00003FFB //P2 data8 0x855576BE6F0975EC , 0x00003FFF //P13 data8 0xF12420E778077D89 , 0x00003FFA //P11 data8 0xB6590FF4D23DE003 , 0x00003FF3 //P10 data8 0xb504f333f9de6484 , 0x00003ffe // sqrt(2)/2 ASM_SIZE_DIRECTIVE(asin_coeff_2_table) .align 32 .global asin .section .text .proc asin .align 32 asin: { .mfi alloc r32 = ar.pfs,1,6,4,0 fma.s1 asin_tx = f8,f8,f0 addl ASIN_Addr2 = @ltoff(asin_coeff_2_table),gp } { .mfi mov ASIN_FFFE = 0xFFFE fnma.s1 asin_t = f8,f8,f1 addl ASIN_Addr1 = @ltoff(asin_coeff_1_table),gp } ;; { .mfi setf.exp asin_1by2 = ASIN_FFFE fmerge.s asin_abs_x = f1,f8 nop.i 999 ;; } { .mmf ld8 ASIN_Addr1 = [ASIN_Addr1] ld8 ASIN_Addr2 = [ASIN_Addr2] fmerge.s asin_sgn_x = f8,f1 ;; } { .mfi ldfe asin_coeff_P7 = [ASIN_Addr1],16 fma.s1 asin_tx2 = asin_tx,asin_tx,f0 nop.i 999 } { .mfi ldfe asin_coeff_P6 = [ASIN_Addr2],16 fma.s1 asin_t2 = asin_t,asin_t,f0 nop.i 999;; } { .mmf ldfe asin_coeff_P18 = [ASIN_Addr1],16 ldfe asin_coeff_P17 = [ASIN_Addr2],16 fclass.m.unc p8,p0 = f8, 0xc3 //@qnan |@snan } ;; { .mmf ldfe asin_coeff_P5 = [ASIN_Addr1],16 ldfe asin_coeff_P4 = [ASIN_Addr2],16 frsqrta.s1 asin_y0,p0 = asin_t } ;; { .mfi ldfe asin_coeff_P16 = [ASIN_Addr1],16 fcmp.gt.s1 p9,p0 = asin_abs_x,f1 nop.i 999 } { .mfb ldfe asin_coeff_P15 = [ASIN_Addr2],16 (p8) fma.d f8 = f8,f1,f0 (p8) br.ret.spnt b0 } ;; { .mmf ldfe asin_coeff_P20 = [ASIN_Addr1],16 ldfe asin_coeff_P19 = [ASIN_Addr2],16 fclass.m.unc p8,p0 = f8, 0x07 //@zero } ;; { .mfi ldfe asin_coeff_P9 = [ASIN_Addr1],16 fma.s1 asin_t4 = asin_t2,asin_t2,f0 (p9) mov GR_Parameter_Tag = 61 } { .mfi ldfe asin_coeff_P8 = [ASIN_Addr2],16 fma.s1 asin_3by2 = asin_1by2,f1,f1 nop.i 999;; } { .mfi ldfe asin_coeff_P2 = [ASIN_Addr2],16 fma.s1 asin_tx4 = asin_tx2,asin_tx2,f0 nop.i 999 } { .mfb ldfe asin_coeff_P3 = [ASIN_Addr1],16 fma.s1 asin_t3 = asin_t,asin_t2,f0 (p8) br.ret.spnt b0 } ;; { .mfi ldfe asin_coeff_P13 = [ASIN_Addr2],16 fma.s1 asin_H0 = asin_y0,asin_1by2,f0 nop.i 999 } { .mfb ldfe asin_coeff_P14 = [ASIN_Addr1],16 fma.s1 asin_S0 = asin_y0,asin_t,f0 (p9) br.cond.spnt __libm_error_region } ;; { .mfi ldfe asin_coeff_P11 = [ASIN_Addr2],16 fcmp.eq.s1 p6,p0 = asin_abs_x,f1 nop.i 999 } { .mfi ldfe asin_coeff_P12 = [ASIN_Addr1],16 fma.s1 asin_tx3 = asin_tx,asin_tx2,f0 nop.i 999;; } { .mfi ldfe asin_coeff_P10 = [ASIN_Addr2],16 fma.s1 asin_1poly_p6 = asin_tx,asin_coeff_P7,asin_coeff_P6 nop.i 999 } { .mfi ldfe asin_coeff_P1 = [ASIN_Addr1],16 fma.s1 asin_poly_p6 = asin_t,asin_coeff_P7,asin_coeff_P6 nop.i 999;; } { .mfi ldfe asin_const_sqrt2by2 = [ASIN_Addr2],16 fma.s1 asin_5by2 = asin_3by2,f1,f1 nop.i 999 } { .mfi ldfe asin_coeff_P21 = [ASIN_Addr1],16 fma.s1 asin_11by4 = asin_3by2,asin_3by2,asin_1by2 nop.i 999;; } { .mfi ldfe asin_const_piby2 = [ASIN_Addr1],16 fma.s1 asin_poly_p17 = asin_t,asin_coeff_P18,asin_coeff_P17 nop.i 999 } { .mfb nop.m 999 fma.s1 asin_3by4 = asin_3by2,asin_1by2,f0 (p6) br.cond.spnt L(ASIN_ABS_1) // Branch to short exit if |x|=1 } ;; { .mfi addl ASIN_lnorm_sig = -0x1,r0 // Form significand 0xffffffffffffffff fma.s1 asin_poly_p15 = asin_t,asin_coeff_P16,asin_coeff_P15 nop.i 999 } { .mfi addl ASIN_snorm_exp = 0x0c001,r0 // Form small exponent fnma.s1 asin_d = asin_S0,asin_H0,asin_1by2 nop.i 999;; } // Form the exponent and significand of a small number { .mfi setf.sig asin_eps_sig = ASIN_lnorm_sig fma.s1 asin_poly_p19 = asin_t,asin_coeff_P20,asin_coeff_P19 nop.i 999 } { .mfi setf.exp asin_eps_exp = ASIN_snorm_exp fma.s1 asin_poly_p4 = asin_t,asin_coeff_P5,asin_coeff_P4 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p17 = asin_tx,asin_coeff_P18,asin_coeff_P17 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_poly_p8 = asin_t,asin_coeff_P9,asin_coeff_P8 nop.i 999;; } { .mfi nop.m 999 fms.s1 asin_35by8 = asin_5by2,asin_11by4,asin_5by2 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_63by8 = asin_5by2,asin_11by4,f1 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_poly_p13 = asin_t,asin_coeff_P14,asin_coeff_P13 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_18by4 = asin_3by2,asin_5by2,asin_3by4 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_l1 = asin_5by2,asin_d,asin_3by2 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_d2 = asin_d,asin_d,f0 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_poly_p15 = asin_t2,asin_poly_p17,asin_poly_p15 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_T0 = asin_d,asin_S0,f0 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_poly_p19 = asin_t2,asin_coeff_P21,asin_poly_p19 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_poly_p4 = asin_t2,asin_poly_p6,asin_poly_p4 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_d1 = asin_35by8,asin_d,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_231by16 = asin_3by2,asin_35by8,asin_63by8 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_poly_p2 = asin_t,asin_coeff_P3,asin_coeff_P2 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_poly_p8 = asin_t2,asin_coeff_P10,asin_poly_p8 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_poly_p11 = asin_t,asin_coeff_P12,asin_coeff_P11 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_e0 = asin_d2,asin_l1,asin_d nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p15 = asin_tx,asin_coeff_P16,asin_coeff_P15 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_poly_p0 = asin_t,asin_coeff_P1,f1 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p19 = asin_tx,asin_coeff_P20,asin_coeff_P19 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_1poly_p4 = asin_tx,asin_coeff_P5,asin_coeff_P4 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p8 = asin_tx,asin_coeff_P9,asin_coeff_P8 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_l2 = asin_231by16,asin_d,asin_63by8 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_d3 = asin_d2,asin_d,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_T3 = asin_d2,asin_T0,f0 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_429by16 = asin_18by4,asin_11by4,asin_231by16 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_S1 = asin_e0,asin_S0,asin_S0 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_poly_p4 = asin_t4,asin_poly_p8,asin_poly_p4 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_poly_p15 = asin_t4,asin_poly_p19,asin_poly_p15 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_poly_p0 = asin_t2,asin_poly_p2,asin_poly_p0 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_poly_p11 = asin_t2,asin_poly_p13,asin_poly_p11 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_t8 = asin_t4,asin_t4,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_e1 = asin_d2,asin_l2,asin_d1 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p4 = asin_tx2,asin_1poly_p6,asin_1poly_p4 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_1poly_p15 = asin_tx2,asin_1poly_p17,asin_1poly_p15 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p8 = asin_tx2,asin_coeff_P10,asin_1poly_p8 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_1poly_p19 = asin_tx2,asin_coeff_P21,asin_1poly_p19 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p2 = asin_tx,asin_coeff_P3,asin_coeff_P2 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_1poly_p13 = asin_tx,asin_coeff_P14,asin_coeff_P13 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p0 = asin_tx,asin_coeff_P1,f1 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_1poly_p11 = asin_tx,asin_coeff_P12,asin_coeff_P11 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_l3 = asin_429by16,asin_d,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_z = asin_e1,asin_T3,asin_S1 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_poly_p11 = asin_t4,asin_poly_p15,asin_poly_p11 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_T6 = asin_T3,asin_d3,f0 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_t11 = asin_t8,asin_t3,f0 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_poly_p0 = asin_t4,asin_poly_p4,asin_poly_p0 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p4 = asin_tx4,asin_1poly_p8,asin_1poly_p4 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_1poly_p15 = asin_tx4,asin_1poly_p19,asin_1poly_p15 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p0 = asin_tx2,asin_1poly_p2,asin_1poly_p0 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_1poly_p11 = asin_tx2,asin_1poly_p13,asin_1poly_p11 nop.i 999;; } { .mfi nop.m 999 // fcmp.le.s1 asin_pred_LEsqrt2by2,asin_pred_GTsqrt2by2 = asin_abs_x,asin_const_sqrt2by2 fcmp.le.s1 p7,p8 = asin_abs_x,asin_const_sqrt2by2 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_tx8 = asin_tx4,asin_tx4,f0 nop.i 999;; } // Form a small number to force inexact flag for small args { .mfi nop.m 999 fmerge.se asin_eps = asin_eps_exp,asin_eps_sig nop.i 999 } { .mfi nop.m 999 fma.s1 asin_z = asin_l3,asin_T6,asin_z nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_series_t = asin_t11,asin_poly_p11,asin_poly_p0 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_1poly_p0 = asin_tx4,asin_1poly_p4,asin_1poly_p0 nop.i 999 } { .mfi nop.m 999 fma.s1 asin_1poly_p11 = asin_tx4,asin_1poly_p15,asin_1poly_p11 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_tx11 = asin_tx8,asin_tx3,f0 nop.i 999;; } { .mfi nop.m 999 //(asin_pred_GTsqrt2by2) fnma.s1 answer2 = asin_z,asin_series_t,asin_const_piby2 (p8) fnma.s1 answer2 = asin_z,asin_series_t,asin_const_piby2 nop.i 999;; } { .mfi nop.m 999 fma.s1 asin_series_tx = asin_tx11,asin_1poly_p11,asin_1poly_p0 nop.i 999;; } { .mfi nop.m 999 //(asin_pred_GTsqrt2by2) fma.d f8 = asin_sgn_x,answer2,f0 (p8) fma.d f8 = asin_sgn_x,answer2,f0 nop.i 999;; } // asin_eps is added only to force inexact and possibly underflow flag // in case asin_series_tx is zero // { .mfi nop.m 999 (p7) fma.d asin_eps = f8,asin_series_tx,asin_eps nop.i 999 } { .mfb nop.m 999 //(asin_pred_LEsqrt2by2) fma.d f8 = f8,asin_series_tx,f0 (p7) fma.d f8 = f8,asin_series_tx,f0 br.ret.sptk b0 } ;; L(ASIN_ABS_1): // Here for short exit if |x|=1 { .mfb nop.m 999 fma.d f8 = asin_sgn_x,asin_const_piby2,f0 br.ret.sptk b0 } ;; .endp asin ASM_SIZE_DIRECTIVE(asin) .proc __libm_error_region __libm_error_region: .prologue { .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] = f1,16 // 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 frcpa.s0 f9,p0 = f0,f0 ;; { .mib stfd [GR_Parameter_X] = f8 // Store Parameter 1 on stack add GR_Parameter_RESULT = 0,GR_Parameter_Y nop.b 0 // Parameter 3 address } { .mib stfd [GR_Parameter_Y] = f9,-16 // Store Parameter 3 on stack adds r32 = 48,sp br.call.sptk b0=__libm_error_support# // Call error handling function };; { .mmi ldfd f8 = [r32] // 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 };; .endp __libm_error_region ASM_SIZE_DIRECTIVE(__libm_error_region) .type __libm_error_support,@function .global __libm_error_support