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authorUlrich Drepper <drepper@redhat.com>2001-02-19 09:09:18 +0000
committerUlrich Drepper <drepper@redhat.com>2001-02-19 09:09:18 +0000
commit8da2915d5dcfa51cb5f9e55f7716b49858c1d59d (patch)
treeaa219472cc41fcb82789b12723628cb6a33cc774 /sysdeps/ia64/fpu/e_acosl.S
parente208f556cad11f729533385e46e4191fcc49aa0a (diff)
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Update.
2001-02-19  Ulrich Drepper  <drepper@redhat.com>

	* libio/iogetline.c: Move return until after last statement.

	* localedata/show-ucs-data.c: Don't show < > for better readability.

	* sysdeps/ia64/fpu/Dist: New file.
	* sysdeps/ia64/fpu/Makefile: New file.
	* sysdeps/ia64/fpu/Versions: New file.
	* sysdeps/ia64/fpu/e_acos.S: New file.
	* sysdeps/ia64/fpu/e_acosf.S: New file.
	* sysdeps/ia64/fpu/e_acosl.S: New file.
	* sysdeps/ia64/fpu/e_asin.S: New file.
	* sysdeps/ia64/fpu/e_asinf.S: New file.
	* sysdeps/ia64/fpu/e_asinl.S: New file.
	* sysdeps/ia64/fpu/e_atan2.S: New file.
	* sysdeps/ia64/fpu/e_atan2f.S: New file.
	* sysdeps/ia64/fpu/e_atan2l.c: New file.
	* sysdeps/ia64/fpu/e_cosh.S: New file.
	* sysdeps/ia64/fpu/e_coshf.S: New file.
	* sysdeps/ia64/fpu/e_coshl.S: New file.
	* sysdeps/ia64/fpu/e_exp.S: New file.
	* sysdeps/ia64/fpu/e_expf.S: New file.
	* sysdeps/ia64/fpu/e_expl.c: New file.
	* sysdeps/ia64/fpu/e_fmod.S: New file.
	* sysdeps/ia64/fpu/e_fmodf.S: New file.
	* sysdeps/ia64/fpu/e_fmodl.S: New file.
	* sysdeps/ia64/fpu/e_hypot.S: New file.
	* sysdeps/ia64/fpu/e_hypotf.S: New file.
	* sysdeps/ia64/fpu/e_hypotl.S: New file.
	* sysdeps/ia64/fpu/e_log.S: New file.
	* sysdeps/ia64/fpu/e_log10.c: New file.
	* sysdeps/ia64/fpu/e_log10f.c: New file.
	* sysdeps/ia64/fpu/e_log10l.c: New file.
	* sysdeps/ia64/fpu/e_logf.S: New file.
	* sysdeps/ia64/fpu/e_logl.c: New file.
	* sysdeps/ia64/fpu/e_pow.S: New file.
	* sysdeps/ia64/fpu/e_powf.S: New file.
	* sysdeps/ia64/fpu/e_powl.S: New file.
	* sysdeps/ia64/fpu/e_rem_pio2.c: New file.
	* sysdeps/ia64/fpu/e_rem_pio2f.c: New file.
	* sysdeps/ia64/fpu/e_remainder.S: New file.
	* sysdeps/ia64/fpu/e_remainderf.S: New file.
	* sysdeps/ia64/fpu/e_remainderl.S: New file.
	* sysdeps/ia64/fpu/e_scalb.S: New file.
	* sysdeps/ia64/fpu/e_scalbf.S: New file.
	* sysdeps/ia64/fpu/e_scalbl.S: New file.
	* sysdeps/ia64/fpu/e_sinh.S: New file.
	* sysdeps/ia64/fpu/e_sinhf.S: New file.
	* sysdeps/ia64/fpu/e_sinhl.S: New file.
	* sysdeps/ia64/fpu/e_sqrt.S: New file.
	* sysdeps/ia64/fpu/e_sqrtf.S: New file.
	* sysdeps/ia64/fpu/e_sqrtl.S: New file.
	* sysdeps/ia64/fpu/k_rem_pio2.c: New file.
	* sysdeps/ia64/fpu/k_rem_pio2f.c: New file.
	* sysdeps/ia64/fpu/k_rem_pio2l.c: New file.
	* sysdeps/ia64/fpu/libm_atan2_reg.S: New file.
	* sysdeps/ia64/fpu/libm_error.c: New file.
	* sysdeps/ia64/fpu/libm_frexp4.S: New file.
	* sysdeps/ia64/fpu/libm_frexp4f.S: New file.
	* sysdeps/ia64/fpu/libm_frexp4l.S: New file.
	* sysdeps/ia64/fpu/libm_reduce.S: New file.
	* sysdeps/ia64/fpu/libm_support.h: New file.
	* sysdeps/ia64/fpu/libm_tan.S: New file.
	* sysdeps/ia64/fpu/s_atan.S: New file.
	* sysdeps/ia64/fpu/s_atanf.S: New file.
	* sysdeps/ia64/fpu/s_atanl.S: New file.
	* sysdeps/ia64/fpu/s_cbrt.S: New file.
	* sysdeps/ia64/fpu/s_cbrtf.S: New file.
	* sysdeps/ia64/fpu/s_cbrtl.S: New file.
	* sysdeps/ia64/fpu/s_ceil.S: New file.
	* sysdeps/ia64/fpu/s_ceilf.S: New file.
	* sysdeps/ia64/fpu/s_ceill.S: New file.
	* sysdeps/ia64/fpu/s_cos.S: New file.
	* sysdeps/ia64/fpu/s_cosf.S: New file.
	* sysdeps/ia64/fpu/s_cosl.S: New file.
	* sysdeps/ia64/fpu/s_expm1.S: New file.
	* sysdeps/ia64/fpu/s_expm1f.S: New file.
	* sysdeps/ia64/fpu/s_expm1l.S: New file.
	* sysdeps/ia64/fpu/s_floor.S: New file.
	* sysdeps/ia64/fpu/s_floorf.S: New file.
	* sysdeps/ia64/fpu/s_floorl.S: New file.
	* sysdeps/ia64/fpu/s_frexp.c: New file.
	* sysdeps/ia64/fpu/s_frexpf.c: New file.
	* sysdeps/ia64/fpu/s_frexpl.c: New file.
	* sysdeps/ia64/fpu/s_ilogb.S: New file.
	* sysdeps/ia64/fpu/s_ilogbf.S: New file.
	* sysdeps/ia64/fpu/s_ilogbl.S: New file.
	* sysdeps/ia64/fpu/s_ldexp.S: New file.
	* sysdeps/ia64/fpu/s_ldexpf.S: New file.
	* sysdeps/ia64/fpu/s_ldexpl.S: New file.
	* sysdeps/ia64/fpu/s_log1p.S: New file.
	* sysdeps/ia64/fpu/s_log1pf.S: New file.
	* sysdeps/ia64/fpu/s_log1pl.S: New file.
	* sysdeps/ia64/fpu/s_logb.S: New file.
	* sysdeps/ia64/fpu/s_logbf.S: New file.
	* sysdeps/ia64/fpu/s_logbl.S: New file.
	* sysdeps/ia64/fpu/s_matherrf.c: New file.
	* sysdeps/ia64/fpu/s_matherrl.c: New file.
	* sysdeps/ia64/fpu/s_modf.S: New file.
	* sysdeps/ia64/fpu/s_modff.S: New file.
	* sysdeps/ia64/fpu/s_modfl.S: New file.
	* sysdeps/ia64/fpu/s_nearbyint.S: New file.
	* sysdeps/ia64/fpu/s_nearbyintf.S: New file.
	* sysdeps/ia64/fpu/s_nearbyintl.S: New file.
	* sysdeps/ia64/fpu/s_rint.S: New file.
	* sysdeps/ia64/fpu/s_rintf.S: New file.
	* sysdeps/ia64/fpu/s_rintl.S: New file.
	* sysdeps/ia64/fpu/s_round.S: New file.
	* sysdeps/ia64/fpu/s_roundf.S: New file.
	* sysdeps/ia64/fpu/s_roundl.S: New file.
	* sysdeps/ia64/fpu/s_scalbn.S: New file.
	* sysdeps/ia64/fpu/s_scalbnf.S: New file.
	* sysdeps/ia64/fpu/s_scalbnl.S: New file.
	* sysdeps/ia64/fpu/s_significand.S: New file.
	* sysdeps/ia64/fpu/s_significandf.S: New file.
	* sysdeps/ia64/fpu/s_significandl.S: New file.
	* sysdeps/ia64/fpu/s_sin.c: New file.
	* sysdeps/ia64/fpu/s_sincos.c: New file.
	* sysdeps/ia64/fpu/s_sincosf.c: New file.
	* sysdeps/ia64/fpu/s_sincosl.c: New file.
	* sysdeps/ia64/fpu/s_sinf.c: New file.
	* sysdeps/ia64/fpu/s_sinl.c: New file.
	* sysdeps/ia64/fpu/s_tan.S: New file.
	* sysdeps/ia64/fpu/s_tanf.S: New file.
	* sysdeps/ia64/fpu/s_tanl.S: New file.
	* sysdeps/ia64/fpu/s_trunc.S: New file.
	* sysdeps/ia64/fpu/s_truncf.S: New file.
	* sysdeps/ia64/fpu/s_truncl.S: New file.
	* sysdeps/ia64/fpu/w_acos.c: New file.
	* sysdeps/ia64/fpu/w_acosf.c: New file.
	* sysdeps/ia64/fpu/w_acosl.c: New file.
	* sysdeps/ia64/fpu/w_asin.c: New file.
	* sysdeps/ia64/fpu/w_asinf.c: New file.
	* sysdeps/ia64/fpu/w_asinl.c: New file.
	* sysdeps/ia64/fpu/w_atan2.c: New file.
	* sysdeps/ia64/fpu/w_atan2f.c: New file.
	* sysdeps/ia64/fpu/w_atan2l.c: New file.
	* sysdeps/ia64/fpu/w_cosh.c: New file.
	* sysdeps/ia64/fpu/w_coshf.c: New file.
	* sysdeps/ia64/fpu/w_coshl.c: New file.
	* sysdeps/ia64/fpu/w_exp.c: New file.
	* sysdeps/ia64/fpu/w_expf.c: New file.
	* sysdeps/ia64/fpu/w_fmod.c: New file.
	* sysdeps/ia64/fpu/w_fmodf.c: New file.
	* sysdeps/ia64/fpu/w_fmodl.c: New file.
	* sysdeps/ia64/fpu/w_hypot.c: New file.
	* sysdeps/ia64/fpu/w_hypotf.c: New file.
	* sysdeps/ia64/fpu/w_hypotl.c: New file.
	* sysdeps/ia64/fpu/w_log.c: New file.
	* sysdeps/ia64/fpu/w_log10.c: New file.
	* sysdeps/ia64/fpu/w_log10f.c: New file.
	* sysdeps/ia64/fpu/w_log10l.c: New file.
	* sysdeps/ia64/fpu/w_logf.c: New file.
	* sysdeps/ia64/fpu/w_logl.c: New file.
	* sysdeps/ia64/fpu/w_pow.c: New file.
	* sysdeps/ia64/fpu/w_powf.c: New file.
	* sysdeps/ia64/fpu/w_powl.c: New file.
	* sysdeps/ia64/fpu/w_remainder.c: New file.
	* sysdeps/ia64/fpu/w_remainderf.c: New file.
	* sysdeps/ia64/fpu/w_remainderl.c: New file.
	* sysdeps/ia64/fpu/w_scalb.c: New file.
	* sysdeps/ia64/fpu/w_scalbf.c: New file.
	* sysdeps/ia64/fpu/w_scalbl.c: New file.
	* sysdeps/ia64/fpu/w_sqrt.c: New file.
	* sysdeps/ia64/fpu/w_sqrtf.c: New file.
	* sysdeps/ia64/fpu/w_sqrtl.c: New file.
	* sysdeps/ia64/fpu/libm-test-ulps: Adjust for long double
	implementation.
	* sysdeps/ia64/fpu/bits/mathdef.h: Correct float_t and double_t types.
	Change FP_ILOGBNAN for new implementation.
	* Verions.def: Add 2.2.3 versions.
Diffstat (limited to 'sysdeps/ia64/fpu/e_acosl.S')
-rw-r--r--sysdeps/ia64/fpu/e_acosl.S1094
1 files changed, 1094 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/e_acosl.S b/sysdeps/ia64/fpu/e_acosl.S
new file mode 100644
index 0000000000..81f56e41c8
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_acosl.S
@@ -0,0 +1,1094 @@
+.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#