.file "acosl.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. // // WARRANTY DISCLAIMER // // 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 // 2/07/00 Modified calculation of acos_corr to correct acosl // 4/04/00 Unwind support added // 8/15/00 Bundle added after call to __libm_error_support to properly // set [the previously overwritten] GR_Parameter_RESULT. // 12/20/00 Set denormal flag properly. // // API //============================================================== // double-extended = acosl (double-extended) // input floating point f8 // output floating point f8 // // Registers used //============================================================== // // predicate registers used: // p6 -> p12 // // floating-point registers used: // f8 has input, then output // f8 -> f15, f32 ->f99 // // general registers used: // r32 -> r48 // // Overview of operation //============================================================== // There are three paths // 1. |x| < 2^-25 ACOS_TINY // 2. 2^-25 <= |x| < 1/4 ACOS_POLY // 3. 1/4 <= |x| < 1 ACOS_ATAN #include "libm_support.h" // Assembly macros //============================================================== // f8 is input, but acos_V must be put in f8 // when __libm_atan2_reg is called, f8 must get V // f9 gets U when __libm_atan2_reg is called // __libm_atan2_reg returns // f8 = Z_hi // f10 = Z_lo // f11 = s_lo acos_Z_hi = f8 acos_Z_lo = f10 acos_S_lo = f11 // When we call __libm_atan2_reg, we must save // the following: acos_corr = f12 acos_X = f13 acos_pi_hi = f14 acos_pi_lo = f15 // The rest of the assembly macros acos_P79 = f32 acos_P59 = f33 acos_P39 = f34 acos_P19 = f35 acos_P810 = f36 acos_P610 = f37 acos_P410 = f38 acos_P210 = f39 acos_A1 = f41 acos_A2 = f42 acos_A3 = f43 acos_A4 = f44 acos_A5 = f45 acos_A6 = f46 acos_A7 = f47 acos_A8 = f48 acos_A9 = f49 acos_A10 = f50 acos_X2 = f51 acos_X4 = f52 acos_B = f53 acos_Bb = f54 acos_A = f55 acos_Aa = f56 acos_1mA = f57 acos_W = f58 acos_Ww = f59 acos_y0 = f60 acos_y1 = f61 acos_y2 = f62 acos_H = f63 acos_Hh = f64 acos_t1 = f65 acos_t2 = f66 acos_t3 = f67 acos_t4 = f68 acos_t5 = f69 acos_Pseries = f70 acos_NORM_f8 = f71 acos_ABS_NORM_f8 = f72 acos_2 = f73 acos_P1P2 = f74 acos_HALF = f75 acos_U = f76 acos_1mB = f77 acos_V = f78 acos_S = f79 acos_BmUU = f80 acos_BmUUpb = f81 acos_2U = f82 acos_1d2U = f83 acos_Dd = f84 acos_pi_by_2_hi = f85 acos_pi_by_2_lo = f86 acos_xmpi_by_2_lo = f87 acos_xPmw = f88 acos_Uu = f89 acos_AmVV = f90 acos_AmVVpa = f91 acos_2V = f92 acos_1d2V = f93 acos_Vv = f94 acos_Vu = f95 acos_Uv = f96 acos_2_Z_hi = f97 acos_s_lo_Z_lo = f98 acos_result_lo = f99 acos_Z_hi = f8 acos_Z_lo = f10 acos_s_lo = f11 acos_GR_17_ones = r33 acos_GR_16_ones = r34 acos_GR_signexp_f8 = r35 acos_GR_exp = r36 acos_GR_true_exp = r37 acos_GR_fffe = r38 GR_SAVE_PFS = r43 GR_SAVE_B0 = r39 GR_SAVE_GP = r41 // r40 is address of table of coefficients // r42 GR_Parameter_X = r44 GR_Parameter_Y = r45 GR_Parameter_RESULT = r46 GR_Parameter_TAG = r47 // 2^-40: // A true exponent of -40 is // : -40 + register_bias // : -28 + ffff = ffd7 // A true exponent of 1 is // : 1 + register_bias // : 1 + ffff = 10000 // Data tables //============================================================== #ifdef _LIBC .rodata #else .data #endif .align 16 acos_coefficients: ASM_TYPE_DIRECTIVE(acos_coefficients,@object) data8 0xc90fdaa22168c234, 0x00003FFF // pi_by_2_hi data8 0xc4c6628b80dc1cd1, 0x00003FBF // pi_by_2_lo data8 0xc90fdaa22168c234, 0x00004000 // pi_hi data8 0xc4c6628b80dc1cd1, 0x00003FC0 // pi_lo data8 0xBB08911F2013961E, 0x00003FF8 // A10 data8 0x981F1095A23A87D3, 0x00003FF8 // A9 data8 0xBDF09C6C4177BCC6, 0x00003FF8 // A8 data8 0xE4C3A60B049ACCEA, 0x00003FF8 // A7 data8 0x8E2789F4E8A8F1AD, 0x00003FF9 // A6 data8 0xB745D09B2B0E850B, 0x00003FF9 // A5 data8 0xF8E38E3BC4C50920, 0x00003FF9 // A4 data8 0xB6DB6DB6D89FCD81, 0x00003FFA // A3 data8 0x99999999999AF376, 0x00003FFB // A2 data8 0xAAAAAAAAAAAAAA71, 0x00003FFC // A1 ASM_SIZE_DIRECTIVE(acos_coefficients) .align 32 .global acosl# ASM_TYPE_DIRECTIVE(acosl#,@function) .section .text .proc acosl# .align 32 acosl: // After normalizing f8, get its true exponent { .mfi alloc r32 = ar.pfs,1,11,4,0 (p0) fnorm.s1 acos_NORM_f8 = f8 (p0) mov acos_GR_17_ones = 0x1ffff } { .mmi (p0) mov acos_GR_16_ones = 0xffff (p0) addl r40 = @ltoff(acos_coefficients), gp nop.i 999 } ;; // Set denormal flag on denormal input with fcmp { .mfi ld8 r40 = [r40] fcmp.eq p6,p0 = f8,f0 nop.i 999 } ;; // Load the constants pi_by_2 and pi. // Each is stored as hi and lo values // Also load the coefficients for ACOS_POLY { .mmi (p0) ldfe acos_pi_by_2_hi = [r40],16 ;; (p0) ldfe acos_pi_by_2_lo = [r40],16 nop.i 999 ;; } { .mmi (p0) ldfe acos_pi_hi = [r40],16 ;; (p0) ldfe acos_pi_lo = [r40],16 nop.i 999 ;; } { .mmi (p0) ldfe acos_A10 = [r40],16 ;; (p0) ldfe acos_A9 = [r40],16 nop.i 999 ;; } // Take the absolute value of f8 { .mmf nop.m 999 (p0) getf.exp acos_GR_signexp_f8 = acos_NORM_f8 (p0) fmerge.s acos_ABS_NORM_f8 = f0, acos_NORM_f8 } { .mii (p0) ldfe acos_A8 = [r40],16 nop.i 999 ;; (p0) and acos_GR_exp = acos_GR_signexp_f8, acos_GR_17_ones ;; } // case 1: |x| < 2^-25 ==> p6 ACOS_TINY // case 2: 2^-25 <= |x| < 2^-2 ==> p8 ACOS_POLY // case 3: 2^-2 <= |x| < 1 ==> p9 ACOS_ATAN // case 4: 1 <= |x| ==> p11 ACOS_ERROR_RETURN // Admittedly |x| = 1 is not an error but this is where that case is // handled. { .mii (p0) ldfe acos_A7 = [r40],16 (p0) sub acos_GR_true_exp = acos_GR_exp, acos_GR_16_ones ;; (p0) cmp.ge.unc p6, p7 = -26, acos_GR_true_exp ;; } { .mii (p0) ldfe acos_A6 = [r40],16 (p7) cmp.ge.unc p8, p9 = -3, acos_GR_true_exp ;; (p9) cmp.ge.unc p10, p11 = -1, acos_GR_true_exp } { .mmi (p0) ldfe acos_A5 = [r40],16 ;; (p0) ldfe acos_A4 = [r40],16 nop.i 999 ;; } { .mmi (p0) ldfe acos_A3 = [r40],16 ;; (p0) ldfe acos_A2 = [r40],16 nop.i 999 ;; } // ACOS_ERROR_RETURN ==> p11 is true // case 4: |x| >= 1 { .mib (p0) ldfe acos_A1 = [r40],16 nop.i 999 (p11) br.spnt L(ACOS_ERROR_RETURN) ;; } // ACOS_TINY ==> p6 is true // case 1: |x| < 2^-25 { .mfi nop.m 999 (p6) fms.s1 acos_xmpi_by_2_lo = acos_NORM_f8,f1, acos_pi_by_2_lo nop.i 999 ;; } { .mfb nop.m 999 (p6) fms.s0 f8 = acos_pi_by_2_hi,f1, acos_xmpi_by_2_lo (p6) br.ret.spnt b0 ;; } // ACOS_POLY ==> p8 is true // case 2: 2^-25 <= |x| < 2^-2 { .mfi nop.m 999 (p8) fms.s1 acos_W = acos_pi_by_2_hi, f1, acos_NORM_f8 nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s1 acos_X2 = f8,f8, f0 nop.i 999 ;; } { .mfi nop.m 999 (p8) fms.s1 acos_Ww = acos_pi_by_2_hi, f1, acos_W nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s1 acos_X4 = acos_X2,acos_X2, f0 nop.i 999 ;; } { .mfi nop.m 999 (p8) fms.s1 acos_Ww = acos_Ww, f1, acos_NORM_f8 nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s1 acos_P810 = acos_X4, acos_A10, acos_A8 nop.i 999 } // acos_P79 = X4*A9 + A7 // acos_P810 = X4*A10 + A8 { .mfi nop.m 999 (p8) fma.s1 acos_P79 = acos_X4, acos_A9, acos_A7 nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s1 acos_Ww = acos_Ww, f1, acos_pi_by_2_lo nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s1 acos_P610 = acos_X4, acos_P810, acos_A6 nop.i 999 } // acos_P59 = X4*(X4*A9 + A7) + A5 // acos_P610 = X4*(X4*A10 + A8) + A6 { .mfi nop.m 999 (p8) fma.s1 acos_P59 = acos_X4, acos_P79, acos_A5 nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s1 acos_P410 = acos_X4, acos_P610, acos_A4 nop.i 999 } // acos_P39 = X4*(X4*(X4*A9 + A7) + A5) + A3 // acos_P410 = X4*(X4*(X4*A10 + A8) + A6) + A4 { .mfi nop.m 999 (p8) fma.s1 acos_P39 = acos_X4, acos_P59, acos_A3 nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s1 acos_P210 = acos_X4, acos_P410, acos_A2 nop.i 999 } // acos_P19 = X4*(X4*(X4*(X4*A9 + A7) + A5) + A3) + A1 = P1 // acos_P210 = X4*(X4*(X4*(X4*A10 + A8) + A6) + A4) + A2 = P2 { .mfi nop.m 999 (p8) fma.s1 acos_P19 = acos_X4, acos_P39, acos_A1 nop.i 999 ;; } // acos_P1P2 = Xsq*P2 + P1 // acos_P1P2 = Xsq*(Xsq*P2 + P1) { .mfi nop.m 999 (p8) fma.s1 acos_P1P2 = acos_X2, acos_P210, acos_P19 nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s1 acos_P1P2 = acos_X2, acos_P1P2, f0 nop.i 999 ;; } { .mfi nop.m 999 (p8) fms.s1 acos_xPmw = acos_NORM_f8, acos_P1P2, acos_Ww nop.i 999 ;; } { .mfb nop.m 999 (p8) fms.s0 f8 = acos_W, f1, acos_xPmw (p8) br.ret.spnt b0 ;; } // ACOS_ATAN // case 3: 2^-2 <= |x| < 1 // case 3: 2^-2 <= |x| < 1 ==> p9 ACOS_ATAN // Step 1.1: Get A,B and a,b // A + a = 1- |X| // B + b = 1+ |X| // Note also that we will use acos_corr (f13) // and acos_W // Step 2 // Call __libm_atan2_reg { .mfi (p0) mov acos_GR_fffe = 0xfffe (p0) fma.s1 acos_B = f1,f1, acos_ABS_NORM_f8 (p0) mov GR_SAVE_B0 = b0 ;; } { .mmf (p0) mov GR_SAVE_GP = gp nop.m 999 (p0) fms.s1 acos_A = f1,f1, acos_ABS_NORM_f8 } { .mfi (p0) setf.exp acos_HALF = acos_GR_fffe nop.f 999 nop.i 999 ;; } { .mfi nop.m 999 (p0) fms.s1 acos_1mB = f1,f1, acos_B nop.i 999 ;; } // We want atan2(V,U) // so put V in f8 and U in f9 // but save X in acos_X { .mfi nop.m 999 (p0) fmerge.se acos_X = f8, f8 nop.i 999 ;; } // Step 1.2: ///////////////////////// // Get U = sqrt(B) ///////////////////////// { .mfi nop.m 999 (p0) frsqrta.s1 acos_y0,p8 = acos_B nop.i 999 } { .mfi nop.m 999 (p0) fms.s1 acos_1mA = f1,f1, acos_A nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_Bb = acos_1mB,f1, acos_ABS_NORM_f8 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_Hh = acos_HALF, acos_B, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_t1 = acos_y0, acos_y0, f0 nop.i 999 } { .mfi nop.m 999 (p0) fms.s1 acos_Aa = acos_1mA,f1, acos_ABS_NORM_f8 nop.i 999 ;; } { .mfi nop.m 999 (p0) fnma.s1 acos_t2 = acos_t1, acos_Hh, acos_HALF nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_y1 = acos_t2, acos_y0, acos_y0 nop.i 999 } // Step 1.2: ///////////////////////// // Get V = sqrt(A) ///////////////////////// { .mfi nop.m 999 (p0) frsqrta.s1 acos_y0,p8 = acos_A nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_t3 = acos_y1, acos_Hh, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_t1 = acos_y0, acos_y0, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fnma.s1 acos_t4 = acos_t3, acos_y1, acos_HALF nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_y2 = acos_t4, acos_y1, acos_y1 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_S = acos_B, acos_y2, f0 nop.i 999 } { .mfi nop.m 999 (p0) fma.s1 acos_H = acos_y2, acos_HALF, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_t5 = acos_Hh, acos_y2, f0 nop.i 999 } { .mfi nop.m 999 (p0) fma.s1 acos_Hh = acos_HALF, acos_A, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fnma.s1 acos_Dd = acos_S, acos_S, acos_B nop.i 999 ;; } { .mfi nop.m 999 (p0) fnma.s1 acos_t2 = acos_t1, acos_Hh, acos_HALF nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_U = acos_Dd, acos_H, acos_S nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_y1 = acos_t2, acos_y0, acos_y0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_2U = acos_U, f1, acos_U nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_t3 = acos_y1, acos_Hh, f0 nop.i 999 } // Step 1.3: // sqrt(A + a) = V + v // sqrt(B + b) = U + u ///////////////////////// // Get u ///////////////////////// // acos_BmUU = B - UU // acos_BmUUpb = (B - UU) + b { .mfi nop.m 999 (p0) fnma.s1 acos_BmUU = acos_U, acos_U, acos_B nop.i 999 ;; } { .mfi nop.m 999 (p0) fmerge.se f9 = acos_U, acos_U nop.i 999 ;; } { .mfi nop.m 999 (p0) fnma.s1 acos_t4 = acos_t3, acos_y1, acos_HALF nop.i 999 ;; } // acos_1d2U = frcpa(2U) { .mfi nop.m 999 (p0) frcpa.s1 acos_1d2U,p9 = f1, acos_2U nop.i 999 } { .mfi nop.m 999 (p0) fma.s1 acos_BmUUpb = acos_BmUU, f1, acos_Bb nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_y2 = acos_t4, acos_y1, acos_y1 nop.i 999 ;; } { .mfi nop.m 999 // acos_Uu = ((B - UU) + b) * frcpa(2U) (p0) fma.s1 acos_Uu = acos_BmUUpb, acos_1d2U, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_S = acos_A, acos_y2, f0 nop.i 999 } { .mfi nop.m 999 (p0) fma.s1 acos_H = acos_y2, acos_HALF, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_t5 = acos_Hh, acos_y2, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fnma.s1 acos_Dd = acos_S, acos_S, acos_A nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_V = acos_Dd, acos_H, acos_S nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_2V = acos_V, f1, acos_V nop.i 999 } // Step 3 ///////////////////////// // Calculate the correction, acos_corr ///////////////////////// // acos_corr = U*v - (V*u) { .mfi nop.m 999 (p0) fma.s1 acos_Vu = acos_V,acos_Uu, f0 nop.i 999 ;; } ///////////////////////// // Get v ///////////////////////// // acos_AmVV = A - VV // acos_AmVVpa = (A - VV) + a { .mfi nop.m 999 (p0) fnma.s1 acos_AmVV = acos_V, acos_V, acos_A nop.i 999 ;; } { .mfi nop.m 999 (p0) fmerge.se f8 = acos_V, acos_V nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_AmVVpa = acos_AmVV, f1, acos_Aa nop.i 999 ;; } // acos_1d2V = frcpa(2V) { .mfi nop.m 999 (p0) frcpa.s1 acos_1d2V,p9 = f1, acos_2V nop.i 999 ;; } // acos_Vv = ((A - VV) + a) * frcpa(2V) { .mfi nop.m 999 (p0) fma.s1 acos_Vv = acos_AmVVpa, acos_1d2V, f0 nop.i 999 ;; } { .mfi nop.m 999 (p0) fma.s1 acos_Uv = acos_U,acos_Vv, f0 nop.i 999 ;; } .endp acosl# ASM_SIZE_DIRECTIVE(acosl#) .proc __libm_callout __libm_callout: .prologue { .mfi nop.m 0 nop.f 0 .save ar.pfs,GR_SAVE_PFS mov GR_SAVE_PFS=ar.pfs } ;; { .mfi mov GR_SAVE_GP=gp nop.f 0 .save b0, GR_SAVE_B0 mov GR_SAVE_B0=b0 } .body { .mfb nop.m 999 (p0) fms.s1 acos_corr = acos_Uv,f1, acos_Vu (p0) br.call.sptk.many b0=__libm_atan2_reg# ;; } // p6 ==> X is negative // p7 ==> x is positive // We know that |X| >= 1/4 { .mfi (p0) mov gp = GR_SAVE_GP (p0) fcmp.lt.unc p6,p7 = acos_X , f0 (p0) mov b0 = GR_SAVE_B0 ;; } // acos_2_Z_hi = 2 * acos_Z_hi // acos_s_lo_Z_lo = s_lo * Z_lo { .mfi nop.m 999 (p0) fma.s1 acos_2_Z_hi = acos_Z_hi, f1, acos_Z_hi (p0) mov ar.pfs = GR_SAVE_PFS } { .mfi nop.m 999 (p0) fma.s1 acos_s_lo_Z_lo = acos_s_lo, acos_Z_lo, f0 nop.i 999 ;; } // 2 is a constant needed later { .mfi nop.m 999 (p0) fma.s1 acos_2 = f1,f1,f1 nop.i 999 ;; } // X >= 1/4 // acos_result_lo = 2(s_lo * Z_lo) - corr // f8 = (2*Z_hi) + (2(s_lo * Z_lo) - corr) { .mfi nop.m 999 (p7) fma.s1 acos_result_lo = acos_s_lo_Z_lo, acos_2, acos_corr nop.i 999 ;; } { .mfi nop.m 999 (p7) fma.s0 f8 = acos_2_Z_hi, f1, acos_result_lo nop.i 999 } // acos_result_lo = (pi_lo - corr) // acos_result_lo = (pi_lo - corr) + acos_Ww { .mfi nop.m 999 (p6) fms.s1 acos_result_lo = acos_pi_lo, f1, acos_corr nop.i 999 ;; } // X <= -1/4 // acos_W = pi_hi - 2 * Z_hi { .mfi nop.m 999 (p6) fnma.s1 acos_W = acos_2, acos_Z_hi, acos_pi_hi nop.i 999 ;; } // acos_Ww = pi_hi - W // acos_Ww = (pi_hi - W) + (2 * Z_hi) { .mfi nop.m 999 (p6) fms.s1 acos_Ww = acos_pi_hi, f1, acos_W nop.i 999 ;; } { .mfi nop.m 999 (p6) fms.s1 acos_Ww = acos_Ww, f1, acos_2_Z_hi nop.i 999 ;; } { .mfi nop.m 999 (p6) fma.s1 acos_result_lo = acos_result_lo, f1, acos_Ww nop.i 999 ;; } // acos_Z_lo = ((pi_lo - corr) + acos_Ww) - 2 * (s_lo * Z_lo) { .mfi nop.m 999 (p6) fnma.s1 acos_Z_lo = acos_s_lo_Z_lo, acos_2, acos_result_lo nop.i 999 ;; } { .mfb nop.m 999 (p6) fma.s0 f8 = acos_W, f1, acos_Z_lo (p0) br.ret.sptk b0 ;; } .endp __libm_callout ASM_SIZE_DIRECTIVE(__libm_callout) .proc SPECIAL SPECIAL: L(ACOS_NAN): { .mfb nop.m 999 (p0) fma.s0 f8 = f8,f1,f0 (p0) br.ret.sptk b0 ;; } L(ACOS_ERROR_RETURN): // Save ar.pfs, b0, and gp; restore on exit // qnan snan inf norm unorm 0 -+ // 1 1 0 0 0 0 11 = 0xc3 // Coming in as X = +- 1 // What should we return? // If X is 1, return (sign of X)pi/2 { .mfi nop.m 999 (p0) fcmp.eq.unc p6,p7 = acos_ABS_NORM_f8,f1 nop.i 999 ;; } { .mfi nop.m 999 (p6) fcmp.lt.unc p8,p9 = f8,f0 nop.i 999 ;; } { .mfi nop.m 999 (p8) fma.s0 f8 = acos_pi_hi, f1, acos_pi_lo nop.i 999 } { .mfb nop.m 999 (p9) fmerge.s f8 = f8,f0 (p6) br.ret.spnt b0 ;; } // If X is a NAN, leave { .mfi nop.m 999 (p0) fclass.m.unc p12,p0 = f8, 0xc3 nop.i 999 ;; } { .mfb nop.m 999 (p12) fma.s0 f8 = f8,f1,f0 (p12) br.ret.spnt b0 ;; } { .mfi (p0) mov GR_Parameter_TAG = 57 (p0) frcpa f10, p6 = f0, f0 nop.i 999 };; .endp SPECIAL ASM_SIZE_DIRECTIVE(SPECIAL) .proc __libm_error_region __libm_error_region: .prologue // (1) { .mfi add GR_Parameter_Y=-32,sp // Parameter 2 value nop.f 0 .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 stfe [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 // (3) { .mib stfe [GR_Parameter_X] = f8 // Store Parameter 1 on stack add GR_Parameter_RESULT = 0,GR_Parameter_Y nop.b 0 // Parameter 3 address } { .mib stfe [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 };; // (4) { .mmi ldfe 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 };; .endp __libm_error_region ASM_SIZE_DIRECTIVE(__libm_error_region) .type __libm_error_support#,@function .global __libm_error_support# .type __libm_atan2_reg#,@function .global __libm_atan2_reg#