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authorUlrich Drepper <drepper@redhat.com>2005-01-06 11:32:24 +0000
committerUlrich Drepper <drepper@redhat.com>2005-01-06 11:32:24 +0000
commitbb803bff5cb97b3de94896aba1c4ec0d67227524 (patch)
treefd7dc0ee4cdec5b9846bad73448537efc718f151 /sysdeps/ia64/fpu/e_exp2f.S
parentef07fd10d992d6af9657dbbd58b2465828bec516 (diff)
2004-12-29 Jakub Jelinek <jakub@redhat.com> * sysdeps/ia64/fpu/libm_support.h (__libm_error_support): Use libc_hidden_proto instead of HIDDEN_PROTO. * sysdeps/ia64/fpu/libm-symbols.h (HIDDEN_PROTO): Remove. (__libm_error_support): If ASSEMBLER and in libc, define to HIDDEN_JUMPTARGET(__libm_error_support). 2004-12-28 David Mosberger <davidm@hpl.hp.com> * sysdeps/ia64/fpu/Makefile (duplicated-routines): New macro. (sysdep_routines): Replace libm_ldexp{,f,l} and libm_scalbn{,f,l} with $(duplicated-routines). (libm-sysdep_routines): Likewise, but substitute "s_" prefix for "m_" prefix. 2004-12-27 David Mosberger <davidm@hpl.hp.com> * sysdeps/ia64/fpu/libm-symbols.h: Add include of <sysdep.h> and undefine "ret" macro. Add __libm_error_support hidden definitions. * sysdeps/ia64/fpu/e_lgamma_r.c: Remove CVS-id comment. Add missing portion of copyright statement. * sysdeps/ia64/fpu/e_lgammaf_r.c: Likewise. * sysdeps/ia64/fpu/e_lgammal_r.c: Likewise. * sysdeps/ia64/fpu/w_lgamma.c: Remove CVS-id comment. Add missing portion of copyright statement. (__ieee754_lgamma): Rename from lgamma(). Make lgamma() a weak alias. (__ieee754_gamma): Likewise. * sysdeps/ia64/fpu/w_lgammaf.c: Likewise. * sysdeps/ia64/fpu/w_lgammal.c: Likewise. 2004-12-09 H. J. Lu <hjl@lucon.org> * sysdeps/ia64/fpu/s_nextafterl.c: Remove. * sysdeps/ia64/fpu/s_nexttoward.c: Likewise. * sysdeps/ia64/fpu/s_nexttowardf.c: Likewise. * sysdeps/ia64/fpu/e_atan2l.S: Remove (duplicate of e_atan2l.c). * sysdeps/ia64/fpu/e_expl.S: Likewise. * sysdeps/ia64/fpu/e_logl.c: Remove (conflicts with e_logl.S). 2004-11-18 David Mosberger <davidm@hpl.hp.com> * sysdeps/ia64/fpu/README: New file. * sysdeps/ia64/fpu/gen_import_file_list: New file. * sysdeps/ia64/fpu/import_check: Likewise. * sysdeps/ia64/fpu/import_diffs: Likewise. * sysdeps/ia64/fpu/import_file.awk: Likewise. * sysdeps/ia64/fpu/import_intel_libm: Likewise. * sysdeps/ia64/fpu/libm-symbols.h: Likewise. * sysdeps/ia64/fpu/e_acos.S: Update from Intel libm v2.1+. * sysdeps/ia64/fpu/e_acosf.S: Likewise. * sysdeps/ia64/fpu/e_acosl.S: Likewise. * sysdeps/ia64/fpu/e_asin.S: Likewise. * sysdeps/ia64/fpu/e_asinf.S: Likewise. * sysdeps/ia64/fpu/e_asinl.S: Likewise. * sysdeps/ia64/fpu/e_atan2.S: Likewise. * sysdeps/ia64/fpu/e_atan2f.S: Likewise. * sysdeps/ia64/fpu/e_cosh.S: Likewise. * sysdeps/ia64/fpu/e_coshf.S: Likewise. * sysdeps/ia64/fpu/e_coshl.S: Likewise. * sysdeps/ia64/fpu/e_exp.S: Likewise. * sysdeps/ia64/fpu/e_expf.S: Likewise. * sysdeps/ia64/fpu/e_fmod.S: Likewise. * sysdeps/ia64/fpu/e_fmodf.S: Likewise. * sysdeps/ia64/fpu/e_fmodl.S: Likewise. * sysdeps/ia64/fpu/e_hypot.S: Likewise. * sysdeps/ia64/fpu/e_hypotf.S: Likewise. * sysdeps/ia64/fpu/e_hypotl.S: Likewise. * sysdeps/ia64/fpu/e_log.S: Likewise. * sysdeps/ia64/fpu/e_log2.S: Likewise. * sysdeps/ia64/fpu/e_log2f.S: Likewise. * sysdeps/ia64/fpu/e_log2l.S: Likewise. * sysdeps/ia64/fpu/e_logf.S: Likewise. * sysdeps/ia64/fpu/e_pow.S: Likewise. * sysdeps/ia64/fpu/e_powf.S: Likewise. * sysdeps/ia64/fpu/e_powl.S: Likewise. * sysdeps/ia64/fpu/e_remainder.S: Likewise. * sysdeps/ia64/fpu/e_remainderf.S: Likewise. * sysdeps/ia64/fpu/e_remainderl.S: Likewise. * sysdeps/ia64/fpu/e_scalb.S: Likewise. * sysdeps/ia64/fpu/e_scalbf.S: Likewise. * sysdeps/ia64/fpu/e_scalbl.S: Likewise. * sysdeps/ia64/fpu/e_sinh.S: Likewise. * sysdeps/ia64/fpu/e_sinhf.S: Likewise. * sysdeps/ia64/fpu/e_sinhl.S: Likewise. * sysdeps/ia64/fpu/e_sqrt.S: Likewise. * sysdeps/ia64/fpu/e_sqrtf.S: Likewise. * sysdeps/ia64/fpu/e_sqrtl.S: Likewise. * sysdeps/ia64/fpu/libm_error.c: Likewise. * sysdeps/ia64/fpu/libm_reduce.c: Likewise. * sysdeps/ia64/fpu/libm_support.h: Likewise. * sysdeps/ia64/fpu/s_atan.S: Likewise. * sysdeps/ia64/fpu/s_atanf.S: Likewise. * sysdeps/ia64/fpu/s_atanl.S: Likewise. * sysdeps/ia64/fpu/s_cbrt.S: Likewise. * sysdeps/ia64/fpu/s_cbrtf.S: Likewise. * sysdeps/ia64/fpu/s_cbrtl.S: Likewise. * sysdeps/ia64/fpu/s_ceil.S: Likewise. * sysdeps/ia64/fpu/s_ceilf.S: Likewise. * sysdeps/ia64/fpu/s_ceill.S: Likewise. * sysdeps/ia64/fpu/s_cos.S: Likewise. * sysdeps/ia64/fpu/s_cosf.S: Likewise. * sysdeps/ia64/fpu/s_cosl.S: Likewise. * sysdeps/ia64/fpu/s_expm1.S: Likewise. * sysdeps/ia64/fpu/s_expm1f.S: Likewise. * sysdeps/ia64/fpu/s_expm1l.S: Likewise. * sysdeps/ia64/fpu/s_fabs.S: Likewise. * sysdeps/ia64/fpu/s_fabsf.S: Likewise. * sysdeps/ia64/fpu/s_fabsl.S: Likewise. * sysdeps/ia64/fpu/s_floor.S: Likewise. * sysdeps/ia64/fpu/s_floorf.S: Likewise. * sysdeps/ia64/fpu/s_floorl.S: Likewise. * sysdeps/ia64/fpu/s_frexp.c: Likewise. * sysdeps/ia64/fpu/s_frexpf.c: Likewise. * sysdeps/ia64/fpu/s_frexpl.c: Likewise. * sysdeps/ia64/fpu/s_ilogb.S: Likewise. * sysdeps/ia64/fpu/s_ilogbf.S: Likewise. * sysdeps/ia64/fpu/s_ilogbl.S: Likewise. * sysdeps/ia64/fpu/s_log1p.S: Likewise. * sysdeps/ia64/fpu/s_log1pf.S: Likewise. * sysdeps/ia64/fpu/s_log1pl.S: Likewise. * sysdeps/ia64/fpu/s_logb.S: Likewise. * sysdeps/ia64/fpu/s_logbf.S: Likewise. * sysdeps/ia64/fpu/s_logbl.S: Likewise. * sysdeps/ia64/fpu/s_modf.S: Likewise. * sysdeps/ia64/fpu/s_modff.S: Likewise. * sysdeps/ia64/fpu/s_modfl.S: Likewise. * sysdeps/ia64/fpu/s_nearbyint.S: Likewise. * sysdeps/ia64/fpu/s_nearbyintf.S: Likewise. * sysdeps/ia64/fpu/s_nearbyintl.S: Likewise. * sysdeps/ia64/fpu/s_rint.S: Likewise. * sysdeps/ia64/fpu/s_rintf.S: Likewise. * sysdeps/ia64/fpu/s_rintl.S: Likewise. * sysdeps/ia64/fpu/s_round.S: Likewise. * sysdeps/ia64/fpu/s_roundf.S: Likewise. * sysdeps/ia64/fpu/s_roundl.S: Likewise. * sysdeps/ia64/fpu/s_significand.S: Likewise. * sysdeps/ia64/fpu/s_significandf.S: Likewise. * sysdeps/ia64/fpu/s_significandl.S: Likewise. * sysdeps/ia64/fpu/s_tan.S: Likewise. * sysdeps/ia64/fpu/s_tanf.S: Likewise. * sysdeps/ia64/fpu/s_tanl.S: Likewise. * sysdeps/ia64/fpu/s_trunc.S: Likewise. * sysdeps/ia64/fpu/s_truncf.S: Likewise. * sysdeps/ia64/fpu/s_truncl.S: Likewise. * sysdeps/ia64/fpu/e_acosh.S: New file from Intel libm v2.1+. * sysdeps/ia64/fpu/e_acoshf.S: Likewise. * sysdeps/ia64/fpu/e_acoshl.S: Likewise. * sysdeps/ia64/fpu/e_atanh.S: Likewise. * sysdeps/ia64/fpu/e_atanhf.S: Likewise. * sysdeps/ia64/fpu/e_atanhl.S: Likewise. * sysdeps/ia64/fpu/e_exp10.S: Likewise. * sysdeps/ia64/fpu/e_exp10f.S: Likewise. * sysdeps/ia64/fpu/e_exp10l.S: Likewise. * sysdeps/ia64/fpu/e_exp2.S: Likewise. * sysdeps/ia64/fpu/e_exp2f.S: Likewise. * sysdeps/ia64/fpu/e_exp2l.S: Likewise. * sysdeps/ia64/fpu/e_lgamma_r.S: Likewise. * sysdeps/ia64/fpu/e_lgammaf_r.S: Likewise. * sysdeps/ia64/fpu/e_lgammal_r.S: Likewise. * sysdeps/ia64/fpu/e_logl.S: Likewise. * sysdeps/ia64/fpu/libm_frexp.S: Likewise. * sysdeps/ia64/fpu/libm_frexpf.S: Likewise. * sysdeps/ia64/fpu/libm_frexpl.S: Likewise. * sysdeps/ia64/fpu/s_libm_ldexp.S: Likewise. * sysdeps/ia64/fpu/s_libm_ldexpf.S: Likewise. * sysdeps/ia64/fpu/s_libm_ldexpl.S: Likewise. * sysdeps/ia64/fpu/s_libm_scalbn.S: Likewise. * sysdeps/ia64/fpu/s_libm_scalbnf.S: Likewise. * sysdeps/ia64/fpu/s_libm_scalbnl.S: Likewise. * sysdeps/ia64/fpu/libm_lgamma.S: Likewise. * sysdeps/ia64/fpu/libm_lgammaf.S: Likewise. * sysdeps/ia64/fpu/libm_lgammal.S: Likewise. * sysdeps/ia64/fpu/libm_sincos.S: Likewise. * sysdeps/ia64/fpu/libm_sincos_large.S: Likewise. * sysdeps/ia64/fpu/libm_sincosf.S: Likewise. * sysdeps/ia64/fpu/libm_sincosl.S: Likewise. * sysdeps/ia64/fpu/libm_scalblnf.S: Likewise. * sysdeps/ia64/fpu/s_asinh.S: Likewise. * sysdeps/ia64/fpu/s_asinhf.S: Likewise. * sysdeps/ia64/fpu/s_asinhl.S: Likewise. * sysdeps/ia64/fpu/s_erf.S: Likewise. * sysdeps/ia64/fpu/s_erfc.S: Likewise. * sysdeps/ia64/fpu/s_erfcf.S: Likewise. * sysdeps/ia64/fpu/s_erfcl.S: Likewise. * sysdeps/ia64/fpu/s_erff.S: Likewise. * sysdeps/ia64/fpu/s_erfl.S: Likewise. * sysdeps/ia64/fpu/s_fdim.S: Likewise. * sysdeps/ia64/fpu/s_fdimf.S: Likewise. * sysdeps/ia64/fpu/s_fdiml.S: Likewise. * sysdeps/ia64/fpu/s_fma.S: Likewise. * sysdeps/ia64/fpu/s_fmaf.S: Likewise. * sysdeps/ia64/fpu/s_fmal.S: Likewise. * sysdeps/ia64/fpu/s_fmax.S: Likewise. * sysdeps/ia64/fpu/s_fmaxf.S: Likewise. * sysdeps/ia64/fpu/s_fmaxl.S: Likewise. * sysdeps/ia64/fpu/s_ldexp.c: Likewise. * sysdeps/ia64/fpu/s_ldexpf.c: Likewise. * sysdeps/ia64/fpu/s_ldexpl.c: Likewise. * sysdeps/ia64/fpu/s_nextafter.S: Likewise. * sysdeps/ia64/fpu/s_nextafterf.S: Likewise. * sysdeps/ia64/fpu/s_nextafterl.S: Likewise. * sysdeps/ia64/fpu/s_nexttoward.S: Likewise. * sysdeps/ia64/fpu/s_nexttowardf.S: Likewise. * sysdeps/ia64/fpu/s_nexttowardl.S: Likewise. * sysdeps/ia64/fpu/s_tanh.S: Likewise. * sysdeps/ia64/fpu/s_tanhf.S: Likewise. * sysdeps/ia64/fpu/s_tanhl.S: Likewise. * sysdeps/ia64/fpu/s_scalblnf.c: Likewise. * sysdeps/ia64/fpu/w_lgamma.c: Likewise. * sysdeps/ia64/fpu/w_lgammaf.c: Likewise. * sysdeps/ia64/fpu/w_lgammal.c: Likewise. * sysdeps/ia64/fpu/w_tgamma.S: Likewise. * sysdeps/ia64/fpu/w_tgammaf.S: Likewise. * sysdeps/ia64/fpu/w_tgammal.S: Likewise. * sysdeps/ia64/fpu/e_gamma_r.c: New empty dummy-file. * sysdeps/ia64/fpu/e_gammaf_r.c: Likewise. * sysdeps/ia64/fpu/e_gammal_r.c: Likewise. * sysdeps/ia64/fpu/w_acosh.c: Likewise. * sysdeps/ia64/fpu/w_acoshf.c: Likewise. * sysdeps/ia64/fpu/w_acoshl.c: Likewise. * sysdeps/ia64/fpu/w_atanh.c: Likewise. * sysdeps/ia64/fpu/w_atanhf.c: Likewise. * sysdeps/ia64/fpu/w_atanhl.c: Likewise. * sysdeps/ia64/fpu/w_exp10.c: Likewise. * sysdeps/ia64/fpu/w_exp10f.c: Likewise. * sysdeps/ia64/fpu/w_exp10l.c: Likewise. * sysdeps/ia64/fpu/w_exp2.c: Likewise. * sysdeps/ia64/fpu/w_exp2f.c: Likewise. * sysdeps/ia64/fpu/w_exp2l.c: Likewise. * sysdeps/ia64/fpu/w_expl.c: Likewise. * sysdeps/ia64/fpu/e_expl.S: Likewise. * sysdeps/ia64/fpu/w_lgamma_r.c: Likewise. * sysdeps/ia64/fpu/w_lgammaf_r.c: Likewise. * sysdeps/ia64/fpu/w_lgammal_r.c: Likewise. * sysdeps/ia64/fpu/w_log2.c: Likewise. * sysdeps/ia64/fpu/w_log2f.c: Likewise. * sysdeps/ia64/fpu/w_log2l.c: Likewise. * sysdeps/ia64/fpu/w_sinh.c: Likewise. * sysdeps/ia64/fpu/w_sinhf.c: Likewise. * sysdeps/ia64/fpu/w_sinhl.c: Likewise. * sysdeps/ia64/fpu/libm_atan2_reg.S: Remove. * sysdeps/ia64/fpu/s_ldexp.S: Likewise. * sysdeps/ia64/fpu/s_ldexpf.S: Likewise. * sysdeps/ia64/fpu/s_ldexpl.S: Likewise. * sysdeps/ia64/fpu/s_scalbn.S: Likewise. * sysdeps/ia64/fpu/s_scalbnf.S: Likewise. * sysdeps/ia64/fpu/s_scalbnl.S: Likewise. * sysdeps/ia64/fpu/s_sincos.c: Make it an empty dummy-file. * sysdeps/ia64/fpu/s_sincosf.c: Likewise. * sysdeps/ia64/fpu/s_sincosl.c: Likewise. * sysdeps/ia64/fpu/e_atan2l.S: Add "Not needed" comment. * sysdeps/ia64/fpu/s_copysign.S: Add __libm_copysign{,f,l} alias for use by libm_error.c * sysdeps/ia64/fpu/Makefile (libm-sysdep_routines): Remove libm_atan2_reg, libm_tan, libm_frexp4{f,l}. Mention s_erfc{,f,l}, libm_frexp{,f,l}, libm_ldexp{,f,l}, libm_sincos{,f,l}, libm_sincos_large, libm_lgamma{,f,l}, libm_scalbn{,f,l}, libm_scalblnf. (sysdep_routines): Remove libm_frexp4{,f,l}. Mention libm_frexp{,f,l}, libm_ldexp{,f,l}, and libm_scalbn{,f,l}. (sysdep-CPPFLAGS): Add -include libm-symbols.h, -D__POSIX__, _D_LIB_VERSIONIMF=_LIB_VERSION, -DSIZE_LONG_INT_64, and -DSIZE_LONG_LONG_INT_64.
Diffstat (limited to 'sysdeps/ia64/fpu/e_exp2f.S')
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diff --git a/sysdeps/ia64/fpu/e_exp2f.S b/sysdeps/ia64/fpu/e_exp2f.S
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+.file "exp2f.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
+//==============================================================
+// 08/25/00 Initial version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 09/05/02 Improved performance and accuracy
+// 01/17/03 Fixed to call error support when x=128.0
+//
+// API
+//==============================================================
+// float exp2f(float)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x= (K + fh + fl + r), where
+// K is an integer, fh= 0.b1 b2 b3 b4 b5,
+// fl= 2^{-5}* 0.b6 b7 b8 b8 b10 (fh, fl >= 0),
+// and |r|<2^{-11}
+// Th is a table that stores 2^fh (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+// Tl is a table that stores 2^fl (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+//
+// 2^x is approximated as
+// 2^K * Th [ f ] * Tl [ f ] * (1+c1*r+c2*r^2)
+
+// Note: We use the following trick to speed up conversion from FP to integer:
+//
+// Let x = K + r, where K is an integer, and |r| <= 0.5
+// Let N be the number of significand bits for the FP format used
+// ( N=64 for double-extended, N=53 for double)
+//
+// Then let y = 1.5 * 2^(N-1) + x for RN mode
+// K = y - 1.5 * 2^(N-1)
+// r = x - K
+//
+// If we want to obtain the integer part and the first m fractional bits of x,
+// we can use the same trick, but with a constant of 1.5 * 2^(N-1-m):
+//
+// Let x = K + f + r
+// f = 0.b_1 b_2 ... b_m
+// |r| <= 2^(-m-1)
+//
+// Then let y = 1.5 * 2^(N-1-m) + x for RN mode
+// (K+f) = y - 1.5 * 2^(N-1-m)
+// r = x - K
+
+
+// Special values
+//==============================================================
+// exp2(0)= 1
+// exp2(+inf)= inf
+// exp2(-inf)= 0
+//
+
+// Registers used
+//==============================================================
+// r2-r3, r14-r40
+// f6-f15, f32-f45
+// p6-p8, p12
+//
+
+
+GR_TBL_START = r2
+GR_LOG_TBL = r3
+
+GR_OF_LIMIT = r14
+GR_UF_LIMIT = r15
+GR_EXP_CORR = r16
+GR_F_low = r17
+GR_F_high = r18
+GR_K = r19
+GR_Flow_ADDR = r20
+
+GR_BIAS = r21
+GR_Fh = r22
+GR_Fh_ADDR = r23
+GR_EXPMAX = r24
+GR_EMIN = r25
+
+GR_ROUNDVAL = r26
+GR_MASK = r27
+GR_KF0 = r28
+GR_MASK_low = r29
+GR_COEFF_START = r30
+
+GR_SAVE_B0 = r33
+GR_SAVE_PFS = r34
+GR_SAVE_GP = r35
+GR_SAVE_SP = r36
+
+GR_Parameter_X = r37
+GR_Parameter_Y = r38
+GR_Parameter_RESULT = r39
+GR_Parameter_TAG = r40
+
+
+FR_X = f10
+FR_Y = f1
+FR_RESULT = f8
+
+
+FR_COEFF1 = f6
+FR_COEFF2 = f7
+FR_R = f9
+
+FR_KF0 = f12
+FR_UF_LIMIT = f15
+
+FR_OF_LIMIT = f32
+FR_EXPMIN = f33
+FR_ROUNDVAL = f34
+FR_KF = f35
+
+FR_2_TO_K = f36
+FR_T_low = f37
+FR_T_high = f38
+
+FR_P12 = f41
+FR_T_low_K = f42
+FR_T = f44
+FR_P = f45
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1
+data8 0xf5fdeffc162c7541, 0x00003ffc // C_2
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+// 2^{0.00000 b6 b7 b8 b9 b10}
+data8 0x8000000000000000, 0x8016302f17467628
+data8 0x802c6436d0e04f50, 0x80429c17d77c18ed
+data8 0x8058d7d2d5e5f6b0, 0x806f17687707a7af
+data8 0x80855ad965e88b83, 0x809ba2264dada76a
+data8 0x80b1ed4fd999ab6c, 0x80c83c56b50cf77f
+data8 0x80de8f3b8b85a0af, 0x80f4e5ff089f763e
+data8 0x810b40a1d81406d4, 0x81219f24a5baa59d
+data8 0x813801881d886f7b, 0x814e67cceb90502c
+data8 0x8164d1f3bc030773, 0x817b3ffd3b2f2e47
+data8 0x8191b1ea15813bfd, 0x81a827baf7838b78
+data8 0x81bea1708dde6055, 0x81d51f0b8557ec1c
+data8 0x81eba08c8ad4536f, 0x820225f44b55b33b
+data8 0x8218af4373fc25eb, 0x822f3c7ab205c89a
+data8 0x8245cd9ab2cec048, 0x825c62a423d13f0c
+data8 0x8272fb97b2a5894c, 0x828998760d01faf3
+data8 0x82a0393fe0bb0ca8, 0x82b6ddf5dbc35906
+//
+//
+// 2^{0.b1 b2 b3 b4 b5}
+data8 0x8000000000000000, 0x82cd8698ac2ba1d7
+data8 0x85aac367cc487b14, 0x88980e8092da8527
+data8 0x8b95c1e3ea8bd6e6, 0x8ea4398b45cd53c0
+data8 0x91c3d373ab11c336, 0x94f4efa8fef70961
+data8 0x9837f0518db8a96f, 0x9b8d39b9d54e5538
+data8 0x9ef5326091a111ad, 0xa27043030c496818
+data8 0xa5fed6a9b15138ea, 0xa9a15ab4ea7c0ef8
+data8 0xad583eea42a14ac6, 0xb123f581d2ac258f
+data8 0xb504f333f9de6484, 0xb8fbaf4762fb9ee9
+data8 0xbd08a39f580c36be, 0xc12c4cca66709456
+data8 0xc5672a115506dadd, 0xc9b9bd866e2f27a2
+data8 0xce248c151f8480e3, 0xd2a81d91f12ae45a
+data8 0xd744fccad69d6af4, 0xdbfbb797daf23755
+data8 0xe0ccdeec2a94e111, 0xe5b906e77c8348a8
+data8 0xeac0c6e7dd24392e, 0xefe4b99bdcdaf5cb
+data8 0xf5257d152486cc2c, 0xfa83b2db722a033a
+LOCAL_OBJECT_END(T_table)
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(exp2f)
+
+
+{.mfi
+ alloc r32= ar.pfs, 1, 4, 4, 0
+ // will continue only for non-zero normal/denormal numbers
+ fclass.nm p12, p0= f8, 0x1b
+ // GR_TBL_START= pointer to C_1...C_2 followed by T_table
+ addl GR_TBL_START= @ltoff(poly_coeffs), gp
+}
+{.mlx
+ mov GR_OF_LIMIT= 0xffff + 7 // Exponent of overflow limit
+ movl GR_ROUNDVAL= 0x5a400000 // 1.5*2^(63-10) (SP)
+}
+;;
+
+// Form special constant 1.5*2^(63-10) to give integer part and first 10
+// fractional bits of x
+{.mfi
+ setf.s FR_ROUNDVAL= GR_ROUNDVAL // Form special constant
+ fcmp.lt.s1 p6, p8= f8, f0 // X<0 ?
+ nop.i 0
+}
+{.mfb
+ ld8 GR_COEFF_START= [ GR_TBL_START ] // Load pointer to coeff table
+ nop.f 0
+ (p12) br.cond.spnt SPECIAL_exp2 // Branch if nan, inf, zero
+}
+;;
+
+{.mlx
+ setf.exp FR_OF_LIMIT= GR_OF_LIMIT // Set overflow limit
+ movl GR_UF_LIMIT= 0xc3160000 // (-2^7-22) = -150
+}
+;;
+
+{.mfi
+ ldfe FR_COEFF1= [ GR_COEFF_START ], 16 // load C_1
+ fma.s0 f8= f8, f1, f0 // normalize x
+ nop.i 0
+}
+;;
+
+{.mmi
+ ldfe FR_COEFF2= [ GR_COEFF_START ], 16 // load C_2
+ setf.s FR_UF_LIMIT= GR_UF_LIMIT // Set underflow limit
+ mov GR_EXP_CORR= 0xffff-126
+}
+;;
+
+{.mfi
+ nop.m 0
+ fma.s1 FR_KF0= f8, f1, FR_ROUNDVAL // y= x + 1.5*2^(63-10)
+ nop.i 0
+}
+;;
+
+{.mfi
+ mov GR_MASK= 1023
+ fms.s1 FR_KF= FR_KF0, f1, FR_ROUNDVAL // (K+f)
+ mov GR_MASK_low= 31
+}
+;;
+
+{.mfi
+ getf.sig GR_KF0= FR_KF0 // (K+f)*2^10= round_to_int(y)
+ fcmp.ge.s1 p12, p7= f8, FR_OF_LIMIT // x >= overflow threshold ?
+ add GR_LOG_TBL= 256, GR_COEFF_START // Pointer to high T_table
+}
+;;
+
+{.mmi
+ and GR_F_low= GR_KF0, GR_MASK_low // f_low
+ and GR_F_high= GR_MASK, GR_KF0 // f_high*32
+ shr GR_K= GR_KF0, 10 // K
+}
+;;
+
+{.mmi
+ shladd GR_Flow_ADDR= GR_F_low, 3, GR_COEFF_START // address of 2^{f_low}
+ add GR_BIAS= GR_K, GR_EXP_CORR // K= bias-2*63
+ shr GR_Fh= GR_F_high, 5 // f_high
+}
+;;
+
+{.mfi
+ setf.exp FR_2_TO_K= GR_BIAS // 2^{K-126}
+ fnma.s1 FR_R= FR_KF, f1, f8 // r= x - (K+f)
+ shladd GR_Fh_ADDR= GR_Fh, 3, GR_LOG_TBL // address of 2^{f_high}
+}
+{.mlx
+ ldf8 FR_T_low= [ GR_Flow_ADDR ] // load T_low= 2^{f_low}
+ movl GR_EMIN= 0xc2fc0000 // EMIN= -126
+}
+;;
+
+{.mfi
+ ldf8 FR_T_high= [ GR_Fh_ADDR ] // load T_high= 2^{f_high}
+ (p7) fcmp.lt.s1 p12, p7= f8, FR_UF_LIMIT // x<underflow threshold ?
+ nop.i 0
+}
+;;
+
+{.mfb
+ setf.s FR_EXPMIN= GR_EMIN // FR_EXPMIN= EMIN
+ fma.s1 FR_P12= FR_COEFF2, FR_R, FR_COEFF1 // P12= C_1+C_2*r
+ (p12) br.cond.spnt OUT_RANGE_exp2
+}
+;;
+
+{.mfi
+ nop.m 0
+ fma.s1 FR_T_low_K= FR_T_low, FR_2_TO_K, f0 // T= 2^{K-126}*T_low
+ nop.i 0
+}
+;;
+
+{.mfi
+ nop.m 0
+ fma.s1 FR_P= FR_R, FR_P12, f0 // P= P12+r
+ nop.i 0
+}
+;;
+
+{.mfi
+ nop.m 0
+ fma.s1 FR_T= FR_T_low_K, FR_T_high, f0 // T= T*T_high
+ nop.i 0
+}
+;;
+
+{.mfi
+ nop.m 0
+ fcmp.lt.s0 p6, p8= f8, FR_EXPMIN // underflow (x<EMIN) ?
+ nop.i 0
+}
+;;
+
+{.mfb
+ nop.m 0
+ fma.s.s0 f8= FR_P, FR_T, FR_T // result= T+T*P
+ (p8) br.ret.sptk b0 // return
+}
+;;
+
+{.mfb
+ (p6) mov GR_Parameter_TAG= 164
+ nop.f 0
+ (p6) br.cond.sptk __libm_error_region
+}
+;;
+
+
+SPECIAL_exp2:
+{.mfi
+ nop.m 0
+ fclass.m p6, p0= f8, 0x22 // x= -Infinity ?
+ nop.i 0
+}
+;;
+
+{.mfi
+ nop.m 0
+ fclass.m p7, p0= f8, 0x21 // x= +Infinity ?
+ nop.i 0
+}
+;;
+
+{.mfi
+ nop.m 0
+ fclass.m p8, p0= f8, 0x7 // x= +/-Zero ?
+ nop.i 0
+}
+{.mfb
+ nop.m 0
+ (p6) mov f8= f0 // exp2(-Infinity)= 0
+ (p6) br.ret.spnt b0
+}
+;;
+
+{.mfb
+ nop.m 0
+ nop.f 0
+ (p7) br.ret.spnt b0 // exp2(+Infinity)= +Infinity
+}
+;;
+
+{.mfb
+ nop.m 0
+ (p8) mov f8= f1 // exp2(+/-0)= 1
+ (p8) br.ret.spnt b0
+}
+;;
+
+{.mfb
+ nop.m 0
+ fma.s.s0 f8= f8, f1, f0 // Remaining cases: NaNs
+ br.ret.sptk b0
+}
+;;
+
+
+OUT_RANGE_exp2:
+
+// overflow: p8= 1
+
+{.mii
+ (p8) mov GR_EXPMAX= 0x1fffe
+ nop.i 0
+ nop.i 0
+}
+;;
+
+{.mmb
+ (p8) mov GR_Parameter_TAG= 163
+ (p8) setf.exp FR_R= GR_EXPMAX
+ nop.b 999
+}
+;;
+
+{.mfi
+ nop.m 999
+ (p8) fma.s.s0 f8= FR_R, FR_R, f0 // Create overflow
+ nop.i 999
+}
+// underflow: p6= 1
+{.mii
+ (p6) mov GR_Parameter_TAG= 164
+ (p6) mov GR_EXPMAX= 1
+ nop.i 0
+}
+;;
+
+{.mmb
+ nop.m 0
+ (p6) setf.exp FR_R= GR_EXPMAX
+ nop.b 999
+}
+;;
+
+{.mfb
+ nop.m 999
+ (p6) fma.s.s0 f8= FR_R, FR_R, f0 // Create underflow
+ nop.b 0
+}
+;;
+
+GLOBAL_LIBM_END(exp2f)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+
+.prologue
+{.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
+}
+;;
+
+{.mmi
+ stfs [ GR_Parameter_Y ]= FR_Y, 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
+{.mib
+ stfs [ GR_Parameter_X ]= FR_X // STORE Parameter 1 on stack
+ add GR_Parameter_RESULT= 0, GR_Parameter_Y // Parameter 3 address
+ nop.b 0
+}
+{.mib
+ stfs [ GR_Parameter_Y ]= FR_RESULT // 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
+ add GR_Parameter_RESULT= 48, sp
+ nop.m 0
+ nop.i 0
+}
+;;
+
+{.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#