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Diffstat (limited to 'sysdeps/ia64/fpu/e_asinf.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_asinf.S | 675 |
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diff --git a/sysdeps/ia64/fpu/e_asinf.S b/sysdeps/ia64/fpu/e_asinf.S deleted file mode 100644 index af24165d8e..0000000000 --- a/sysdeps/ia64/fpu/e_asinf.S +++ /dev/null @@ -1,675 +0,0 @@ -.file "asinf.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 -// 06/28/00 Improved speed -// 06/31/00 Changed register allocation because of some duplicate macros -// moved nan exit bundle up to gain a cycle. -// 08/08/00 Improved speed by avoiding SIR flush. -// 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. -// 10/17/00 Improved speed of x=0 and x=1 paths, set D flag if x denormal. -// 03/13/01 Corrected sign of imm1 value in dep instruction. -// 05/20/02 Cleaned up namespace and sf0 syntax -// 02/06/03 Reordered header: .section, .global, .proc, .align - - -// Description -//========================================= -// The asinf function computes the arc sine of x in the range [-pi,+pi]. -// A doman error occurs for arguments not in the range [-1,+1]. -// asinf(+-0) returns +-0 -// asinf(x) returns a Nan and raises the invalid exception for |x| >1 - -// The acosf function returns the arc cosine in the range [0, +pi] radians. -// A doman error occurs for arguments not in the range [-1,+1]. -// acosf(1) returns +0 -// acosf(x) returns a Nan and raises the invalid exception for |x| >1 - - -// |x| <= sqrt(2)/2. get Ax and Bx - -// poly_p1 = x p1 -// poly_p3 = x2 p4 + p3 -// poly_p1 = x2 (poly_p1) + x = x2(x p1) + x -// poly_p2 = x2( poly_p3) + p2 = x2(x2 p4 + p3) + p2 - -// poly_Ax = x5(x2( poly_p3) + p2) + x2(x p1) + x -// = x5(x2(x2 p4 + p3) + p2) + x2(x p1) + x - -// poly_p7 = x2 p8 + p7 -// poly_p5 = x2 p6 + p5 - -// poly_p7 = x4 p9 + (poly_p7) -// poly_p7 = x4 p9 + (x2 p8 + p7) -// poly_Bx = x4 (x4 p9 + (x2 p8 + p7)) + x2 p6 + p5 - -// answer1 = x11(x4 (x4 p9 + (x2 p8 + p7)) + x2 p6 + p5) + x5(x2(x2 p4 + p3) + p2) + x2(x p1) + x -// = x19 p9 + x17 p8 + x15 p7 x13 p6 + x11 p5 + x9 p4 + x7 p3 + x5 p2 + x3 p1 + x - - - -// |x| > sqrt(2)/2 - -// Get z = sqrt(1-x2) - -// Get polynomial in t = 1-x2 - -// t2 = t t -// t4 = t2 t2 - -// poly_p4 = t p5 + p4 -// poly_p1 = t p1 + 1 - -// poly_p6 = t p7 + p6 -// poly_p2 = t p3 + p2 - -// poly_p8 = t p9 + p8 - -// poly_p4 = t2 poly_p6 + poly_p4 -// = t2 (t p7 + p6) + (t p5 + p4) - -// poly_p2 = t2 poly_p2 + poly_p1 -// = t2 (t p3 + p2) + (t p1 + 1) - -// poly_p4 = t4 poly_p8 + poly_p4 -// = t4 (t p9 + p8) + (t2 (t p7 + p6) + (t p5 + p4)) - -// P(t) = poly_p2 + t4 poly_p8 -// = t2 (t p3 + p2) + (t p1 + 1) + t4 (t4 (t p9 + p8) + (t2 (t p7 + p6) + (t p5 + p4))) -// = t3 p3 + t2 p2 + t p1 + 1 + t9 p9 + t8 p8 + t7 p7 + t6 p6 + t5 p5 + t4 p4 - - -// answer2 = - sign(x) z P(t) + (sign(x) pi/2) -// - - -// Assembly macros -//========================================= - -// predicate registers -//asinf_pred_LEsqrt2by2 = p7 -//asinf_pred_GTsqrt2by2 = p8 - -// integer registers -ASINF_Addr1 = r33 -ASINF_Addr2 = r34 -ASINF_GR_1by2 = r35 - -ASINF_GR_3by2 = r36 -ASINF_GR_5by2 = r37 - -GR_SAVE_B0 = r38 -GR_SAVE_PFS = r39 -GR_SAVE_GP = r40 - -GR_Parameter_X = r41 -GR_Parameter_Y = r42 -GR_Parameter_RESULT = r43 -GR_Parameter_TAG = r44 - -// floating point registers - -asinf_y = f32 -asinf_abs_x = f33 -asinf_x2 = f34 -asinf_sgn_x = f35 - -asinf_1by2 = f36 -asinf_3by2 = f37 -asinf_5by2 = f38 -asinf_coeff_P3 = f39 -asinf_coeff_P8 = f40 - -asinf_coeff_P1 = f41 -asinf_coeff_P4 = f42 -asinf_coeff_P5 = f43 -asinf_coeff_P2 = f44 -asinf_coeff_P7 = f45 - -asinf_coeff_P6 = f46 -asinf_coeff_P9 = f47 -asinf_x2 = f48 -asinf_x3 = f49 -asinf_x4 = f50 - -asinf_x8 = f51 -asinf_x5 = f52 -asinf_const_piby2 = f53 -asinf_const_sqrt2by2 = f54 -asinf_x11 = f55 - -asinf_poly_p1 = f56 -asinf_poly_p3 = f57 -asinf_sinf1 = f58 -asinf_poly_p2 = f59 -asinf_poly_Ax = f60 - -asinf_poly_p7 = f61 -asinf_poly_p5 = f62 -asinf_sgnx_t4 = f63 -asinf_poly_Bx = f64 -asinf_t = f65 - -asinf_yby2 = f66 -asinf_B = f67 -asinf_B2 = f68 -asinf_Az = f69 -asinf_dz = f70 - -asinf_Sz = f71 -asinf_d2z = f72 -asinf_Fz = f73 -asinf_z = f74 -asinf_sgnx_z = f75 - -asinf_t2 = f76 -asinf_2poly_p4 = f77 -asinf_2poly_p6 = f78 -asinf_2poly_p1 = f79 -asinf_2poly_p2 = f80 - -asinf_2poly_p8 = f81 -asinf_t4 = f82 -asinf_Pt = f83 -asinf_sgnx_2poly_p2 = f84 -asinf_sgn_x_piby2 = f85 - -asinf_poly_p7a = f86 -asinf_2poly_p4a = f87 -asinf_2poly_p4b = f88 -asinf_2poly_p2a = f89 -asinf_poly_p1a = f90 - - - - - -// Data tables -//============================================================== - -RODATA - -.align 16 - -LOCAL_OBJECT_START(asinf_coeff_1_table) -data8 0x3FC5555607DCF816 // P1 -data8 0x3F9CF81AD9BAB2C6 // P4 -data8 0x3FC59E0975074DF3 // P7 -data8 0xBFA6F4CC2780AA1D // P6 -data8 0x3FC2DD45292E93CB // P9 -data8 0x3fe6a09e667f3bcd // sqrt(2)/2 -LOCAL_OBJECT_END(asinf_coeff_1_table) - -LOCAL_OBJECT_START(asinf_coeff_2_table) -data8 0x3FA6F108E31EFBA6 // P3 -data8 0xBFCA31BF175D82A0 // P8 -data8 0x3FA30C0337F6418B // P5 -data8 0x3FB332C9266CB1F9 // P2 -data8 0x3ff921fb54442d18 // pi_by_2 -LOCAL_OBJECT_END(asinf_coeff_2_table) - - -.section .text -GLOBAL_LIBM_ENTRY(asinf) - -// Load the addresses of the two tables. -// Then, load the coefficients and other constants. - -{ .mfi - alloc r32 = ar.pfs,1,8,4,0 - fnma.s1 asinf_t = f8,f8,f1 - dep.z ASINF_GR_1by2 = 0x3f,24,8 // 0x3f000000 -} -{ .mfi - addl ASINF_Addr1 = @ltoff(asinf_coeff_1_table),gp - fma.s1 asinf_x2 = f8,f8,f0 - addl ASINF_Addr2 = @ltoff(asinf_coeff_2_table),gp ;; -} - - -{ .mfi - ld8 ASINF_Addr1 = [ASINF_Addr1] - fmerge.s asinf_abs_x = f1,f8 - dep ASINF_GR_3by2 = -1,r0,22,8 // 0x3fc00000 -} -{ .mlx - nop.m 999 - movl ASINF_GR_5by2 = 0x40200000;; -} - - - -{ .mfi - setf.s asinf_1by2 = ASINF_GR_1by2 - fmerge.s asinf_sgn_x = f8,f1 - nop.i 999 -} -{ .mfi - ld8 ASINF_Addr2 = [ASINF_Addr2] - nop.f 0 - nop.i 999;; -} - - -{ .mfi - setf.s asinf_5by2 = ASINF_GR_5by2 - fcmp.lt.s1 p11,p12 = f8,f0 - nop.i 999;; -} - -{ .mmf - ldfpd asinf_coeff_P1,asinf_coeff_P4 = [ASINF_Addr1],16 - setf.s asinf_3by2 = ASINF_GR_3by2 - fclass.m.unc p8,p0 = f8, 0xc3 ;; //@qnan | @snan -} - - -{ .mfi - ldfpd asinf_coeff_P7,asinf_coeff_P6 = [ASINF_Addr1],16 - fma.s1 asinf_t2 = asinf_t,asinf_t,f0 - nop.i 999 -} -{ .mfi - ldfpd asinf_coeff_P3,asinf_coeff_P8 = [ASINF_Addr2],16 - fma.s1 asinf_x4 = asinf_x2,asinf_x2,f0 - nop.i 999;; -} - - -{ .mfi - ldfpd asinf_coeff_P9,asinf_const_sqrt2by2 = [ASINF_Addr1] - fclass.m.unc p10,p0 = f8, 0x07 //@zero - nop.i 999 -} -{ .mfi - ldfpd asinf_coeff_P5,asinf_coeff_P2 = [ASINF_Addr2],16 - fma.s1 asinf_x3 = f8,asinf_x2,f0 - nop.i 999;; -} - - -{ .mfi - ldfd asinf_const_piby2 = [ASINF_Addr2] - frsqrta.s1 asinf_B,p0 = asinf_t - nop.i 999 -} -{ .mfb - nop.m 999 -(p8) fma.s.s0 f8 = f8,f1,f0 -(p8) br.ret.spnt b0 ;; // Exit if x=nan -} - - -{ .mfb - nop.m 999 - fcmp.eq.s1 p6,p0 = asinf_abs_x,f1 -(p10) br.ret.spnt b0 ;; // Exit if x=0 -} - -{ .mfi - nop.m 999 - fcmp.gt.s1 p9,p0 = asinf_abs_x,f1 - nop.i 999;; -} - -{ .mfi - nop.m 999 - fma.s1 asinf_x8 = asinf_x4,asinf_x4,f0 - nop.i 999 -} -{ .mfb - nop.m 999 - fma.s1 asinf_t4 = asinf_t2,asinf_t2,f0 -(p6) br.cond.spnt ASINF_ABS_ONE ;; // Branch if |x|=1 -} - -{ .mfi - nop.m 999 - fma.s1 asinf_x5 = asinf_x2,asinf_x3,f0 - nop.i 999 -} -{ .mfb -(p9) mov GR_Parameter_TAG = 62 - fma.s1 asinf_yby2 = asinf_t,asinf_1by2,f0 -(p9) br.cond.spnt __libm_error_region ;; // Branch if |x|>1 -} - - -{ .mfi - nop.m 999 - fma.s1 asinf_Az = asinf_t,asinf_B,f0 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 asinf_B2 = asinf_B,asinf_B,f0 - nop.i 999;; -} - -{ .mfi - nop.m 999 - fma.s1 asinf_poly_p1 = f8,asinf_coeff_P1,f0 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 asinf_2poly_p1 = asinf_coeff_P1,asinf_t,f1 - nop.i 999;; -} - -{ .mfi - nop.m 999 - fma.s1 asinf_poly_p3 = asinf_coeff_P4,asinf_x2,asinf_coeff_P3 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 asinf_2poly_p6 = asinf_coeff_P7,asinf_t,asinf_coeff_P6 - nop.i 999;; -} - -{ .mfi - nop.m 999 - fma.s1 asinf_poly_p7 = asinf_x2,asinf_coeff_P8,asinf_coeff_P7 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 asinf_2poly_p2 = asinf_coeff_P3,asinf_t,asinf_coeff_P2 - nop.i 999;; -} - - -{ .mfi - nop.m 999 - fma.s1 asinf_poly_p5 = asinf_x2,asinf_coeff_P6,asinf_coeff_P5 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 asinf_2poly_p4 = asinf_coeff_P5,asinf_t,asinf_coeff_P4 - nop.i 999;; -} - - -{ .mfi - nop.m 999 - fma.d.s1 asinf_x11 = asinf_x8,asinf_x3,f0 - nop.i 999 -} -{ .mfi - nop.m 999 - fnma.s1 asinf_dz = asinf_B2,asinf_yby2,asinf_1by2 - nop.i 999;; -} - - -{ .mfi - nop.m 999 - fma.s1 asinf_poly_p1a = asinf_x2,asinf_poly_p1,f8 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 asinf_2poly_p8 = asinf_coeff_P9,asinf_t,asinf_coeff_P8 - nop.i 999;; -} - - -// Get the absolute value of x and determine the region in which x lies - -{ .mfi - nop.m 999 - fcmp.le.s1 p7,p8 = asinf_abs_x,asinf_const_sqrt2by2 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 asinf_poly_p2 = asinf_x2,asinf_poly_p3,asinf_coeff_P2 - nop.i 999;; -} - - -{ .mfi - nop.m 999 - fma.s1 asinf_poly_p7a = asinf_x4,asinf_coeff_P9,asinf_poly_p7 - nop.i 999 -} -{ .mfi - nop.m 999 - fma.s1 asinf_2poly_p2a = asinf_2poly_p2,asinf_t2,asinf_2poly_p1 - nop.i 999;; -} - - -{ .mfi - nop.m 999 -(p8) fma.s1 asinf_sgnx_t4 = asinf_sgn_x,asinf_t4,f0 - nop.i 999 -} -{ .mfi - nop.m 999 -(p8) fma.s1 asinf_2poly_p4a = asinf_2poly_p6,asinf_t2,asinf_2poly_p4 - nop.i 999;; -} - - -{ .mfi - nop.m 999 -(p8) fma.s1 asinf_Sz = asinf_5by2,asinf_dz,asinf_3by2 - nop.i 999 -} -{ .mfi - nop.m 999 -(p8) fma.s1 asinf_d2z = asinf_dz,asinf_dz,f0 - nop.i 999;; -} - - -{ .mfi - nop.m 999 -(p8) fma.s1 asinf_sgn_x_piby2 = asinf_sgn_x,asinf_const_piby2,f0 - nop.i 999 -} -{ .mfi - nop.m 999 -(p7) fma.d.s1 asinf_poly_Ax = asinf_x5,asinf_poly_p2,asinf_poly_p1a - nop.i 999;; -} - -{ .mfi - nop.m 999 -(p7) fma.d.s1 asinf_poly_Bx = asinf_x4,asinf_poly_p7a,asinf_poly_p5 - nop.i 999 -} -{ .mfi - nop.m 999 -(p8) fma.s1 asinf_sgnx_2poly_p2 = asinf_sgn_x,asinf_2poly_p2a,f0 - nop.i 999;; -} - -{ .mfi - nop.m 999 - fcmp.eq.s0 p6,p0 = f8,f0 // Only purpose is to set D if x denormal - nop.i 999 -} -{ .mfi - nop.m 999 -(p8) fma.s1 asinf_2poly_p4b = asinf_2poly_p8,asinf_t4,asinf_2poly_p4a - nop.i 999;; -} - - -{ .mfi - nop.m 999 -(p8) fma.s1 asinf_Fz = asinf_d2z,asinf_Sz,asinf_dz - nop.i 999;; -} - - -{ .mfi - nop.m 999 -(p8) fma.d.s1 asinf_Pt = asinf_2poly_p4b,asinf_sgnx_t4,asinf_sgnx_2poly_p2 - nop.i 999;; -} - -{ .mfi - nop.m 999 -(p8) fma.d.s1 asinf_z = asinf_Az,asinf_Fz,asinf_Az - nop.i 999;; -} - -.pred.rel "mutex",p8,p7 //asinf_pred_GTsqrt2by2,asinf_pred_LEsqrt2by2 -{ .mfi - nop.m 999 -(p8) fnma.s.s0 f8 = asinf_z,asinf_Pt,asinf_sgn_x_piby2 - nop.i 999 -} - -{ .mfb - nop.m 999 -(p7) fma.s.s0 f8 = asinf_x11,asinf_poly_Bx,asinf_poly_Ax - br.ret.sptk b0 ;; -} - -ASINF_ABS_ONE: -// Here for short exit if |x|=1 -{ .mfb - nop.m 999 - fma.s.s0 f8 = asinf_sgn_x,asinf_const_piby2,f0 - br.ret.sptk b0 -} -;; - -GLOBAL_LIBM_END(asinf) - -// Stack operations when calling error support. -// (1) (2) -// sp -> + psp -> + -// | | -// | | <- GR_Y -// | | -// | <-GR_Y Y2->| -// | | -// | | <- GR_X -// | | -// sp-64 -> + sp -> + -// save ar.pfs save b0 -// save gp - - -// Stack operations when calling error support. -// (3) (call) (4) -// psp -> + sp -> + -// | | -// R3 ->| <- GR_RESULT | -> f8 -// | | -// Y2 ->| <- GR_Y | -// | | -// X1 ->| | -// | | -// sp -> + + -// restore gp -// restore ar.pfs - -LOCAL_LIBM_ENTRY(__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 -{ .mfi - nop.m 0 - frcpa.s0 f9,p0 = f0,f0 - nop.i 0 -};; - -{ .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] = f9 // 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# |