mirror of
https://sourceware.org/git/glibc.git
synced 2024-11-26 15:00:06 +00:00
30891f35fa
We stopped adding "Contributed by" or similar lines in sources in 2012 in favour of git logs and keeping the Contributors section of the glibc manual up to date. Removing these lines makes the license header a bit more consistent across files and also removes the possibility of error in attribution when license blocks or files are copied across since the contributed-by lines don't actually reflect reality in those cases. Move all "Contributed by" and similar lines (Written by, Test by, etc.) into a new file CONTRIBUTED-BY to retain record of these contributions. These contributors are also mentioned in manual/contrib.texi, so we just maintain this additional record as a courtesy to the earlier developers. The following scripts were used to filter a list of files to edit in place and to clean up the CONTRIBUTED-BY file respectively. These were not added to the glibc sources because they're not expected to be of any use in future given that this is a one time task: https://gist.github.com/siddhesh/b5ecac94eabfd72ed2916d6d8157e7dc https://gist.github.com/siddhesh/15ea1f5e435ace9774f485030695ee02 Reviewed-by: Carlos O'Donell <carlos@redhat.com>
712 lines
20 KiB
ArmAsm
712 lines
20 KiB
ArmAsm
.file "coshf.s"
|
|
|
|
|
|
// Copyright (c) 2000 - 2005, Intel Corporation
|
|
// All rights reserved.
|
|
//
|
|
//
|
|
// 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
|
|
// 02/16/00 The error tag for coshf overflow changed to 65 (from 64).
|
|
// 04/04/00 Unwind support added
|
|
// 08/15/00 Bundle added after call to __libm_error_support to properly
|
|
// set [the previously overwritten] GR_Parameter_RESULT.
|
|
// 05/07/01 Reworked to improve speed of all paths
|
|
// 05/20/02 Cleaned up namespace and sf0 syntax
|
|
// 11/15/02 Improved algorithm based on expf
|
|
// 03/31/05 Reformatted delimiters between data tables
|
|
//
|
|
// API
|
|
//*********************************************************************
|
|
// float coshf(float)
|
|
//
|
|
// Overview of operation
|
|
//*********************************************************************
|
|
// Case 1: 0 < |x| < 0.25
|
|
// Evaluate cosh(x) by a 8th order polynomial
|
|
// Care is take for the order of multiplication; and A2 is not exactly 1/4!,
|
|
// A3 is not exactly 1/6!, etc.
|
|
// cosh(x) = 1 + (A1*x^2 + A2*x^4 + A3*x^6 + A4*x^8)
|
|
//
|
|
// Case 2: 0.25 < |x| < 89.41598
|
|
// Algorithm is based on the identity cosh(x) = ( exp(x) + exp(-x) ) / 2.
|
|
// The algorithm for exp is described as below. There are a number of
|
|
// economies from evaluating both exp(x) and exp(-x). Although we
|
|
// are evaluating both quantities, only where the quantities diverge do we
|
|
// duplicate the computations. The basic algorithm for exp(x) is described
|
|
// below.
|
|
//
|
|
// Take the input x. w is "how many log2/128 in x?"
|
|
// w = x * 64/log2
|
|
// NJ = int(w)
|
|
// x = NJ*log2/64 + R
|
|
|
|
// NJ = 64*n + j
|
|
// x = n*log2 + (log2/64)*j + R
|
|
//
|
|
// So, exp(x) = 2^n * 2^(j/64)* exp(R)
|
|
//
|
|
// T = 2^n * 2^(j/64)
|
|
// Construct 2^n
|
|
// Get 2^(j/64) table
|
|
// actually all the entries of 2^(j/64) table are stored in DP and
|
|
// with exponent bits set to 0 -> multiplication on 2^n can be
|
|
// performed by doing logical "or" operation with bits presenting 2^n
|
|
|
|
// exp(R) = 1 + (exp(R) - 1)
|
|
// P = exp(R) - 1 approximated by Taylor series of 3rd degree
|
|
// P = A3*R^3 + A2*R^2 + R, A3 = 1/6, A2 = 1/2
|
|
//
|
|
|
|
// The final result is reconstructed as follows
|
|
// exp(x) = T + T*P
|
|
|
|
// Special values
|
|
//*********************************************************************
|
|
// coshf(+0) = 1.0
|
|
// coshf(-0) = 1.0
|
|
|
|
// coshf(+qnan) = +qnan
|
|
// coshf(-qnan) = -qnan
|
|
// coshf(+snan) = +qnan
|
|
// coshf(-snan) = -qnan
|
|
|
|
// coshf(-inf) = +inf
|
|
// coshf(+inf) = +inf
|
|
|
|
// Overflow and Underflow
|
|
//*********************************************************************
|
|
// coshf(x) = largest single normal when
|
|
// x = 89.41598 = 0x42b2d4fc
|
|
//
|
|
// There is no underflow.
|
|
|
|
// Registers used
|
|
//*********************************************************************
|
|
// Floating Point registers used:
|
|
// f8 input, output
|
|
// f6,f7, f9 -> f15, f32 -> f45
|
|
|
|
// General registers used:
|
|
// r2, r3, r16 -> r38
|
|
|
|
// Predicate registers used:
|
|
// p6 -> p15
|
|
|
|
// Assembly macros
|
|
//*********************************************************************
|
|
// integer registers used
|
|
// scratch
|
|
rNJ = r2
|
|
rNJ_neg = r3
|
|
|
|
rJ_neg = r16
|
|
rN_neg = r17
|
|
rSignexp_x = r18
|
|
rExp_x = r18
|
|
rExp_mask = r19
|
|
rExp_bias = r20
|
|
rAd1 = r21
|
|
rAd2 = r22
|
|
rJ = r23
|
|
rN = r24
|
|
rTblAddr = r25
|
|
rA3 = r26
|
|
rExpHalf = r27
|
|
rLn2Div64 = r28
|
|
rGt_ln = r29
|
|
r17ones_m1 = r29
|
|
rRightShifter = r30
|
|
rJ_mask = r30
|
|
r64DivLn2 = r31
|
|
rN_mask = r31
|
|
// stacked
|
|
GR_SAVE_PFS = r32
|
|
GR_SAVE_B0 = r33
|
|
GR_SAVE_GP = r34
|
|
GR_Parameter_X = r35
|
|
GR_Parameter_Y = r36
|
|
GR_Parameter_RESULT = r37
|
|
GR_Parameter_TAG = r38
|
|
|
|
// floating point registers used
|
|
FR_X = f10
|
|
FR_Y = f1
|
|
FR_RESULT = f8
|
|
// scratch
|
|
fRightShifter = f6
|
|
f64DivLn2 = f7
|
|
fNormX = f9
|
|
fNint = f10
|
|
fN = f11
|
|
fR = f12
|
|
fLn2Div64 = f13
|
|
fA2 = f14
|
|
fA3 = f15
|
|
// stacked
|
|
fP = f32
|
|
fT = f33
|
|
fMIN_SGL_OFLOW_ARG = f34
|
|
fMAX_SGL_NORM_ARG = f35
|
|
fRSqr = f36
|
|
fA1 = f37
|
|
fA21 = f37
|
|
fA4 = f38
|
|
fA43 = f38
|
|
fA4321 = f38
|
|
fX4 = f39
|
|
fTmp = f39
|
|
fGt_pln = f39
|
|
fWre_urm_f8 = f40
|
|
fXsq = f40
|
|
fP_neg = f41
|
|
fT_neg = f42
|
|
fExp = f43
|
|
fExp_neg = f44
|
|
fAbsX = f45
|
|
|
|
|
|
RODATA
|
|
.align 16
|
|
|
|
LOCAL_OBJECT_START(_coshf_table)
|
|
data4 0x42b2d4fd // Smallest single arg to overflow single result
|
|
data4 0x42b2d4fc // Largest single arg to give normal single result
|
|
data4 0x00000000 // pad
|
|
data4 0x00000000 // pad
|
|
//
|
|
// 2^(j/64) table, j goes from 0 to 63
|
|
data8 0x0000000000000000 // 2^(0/64)
|
|
data8 0x00002C9A3E778061 // 2^(1/64)
|
|
data8 0x000059B0D3158574 // 2^(2/64)
|
|
data8 0x0000874518759BC8 // 2^(3/64)
|
|
data8 0x0000B5586CF9890F // 2^(4/64)
|
|
data8 0x0000E3EC32D3D1A2 // 2^(5/64)
|
|
data8 0x00011301D0125B51 // 2^(6/64)
|
|
data8 0x0001429AAEA92DE0 // 2^(7/64)
|
|
data8 0x000172B83C7D517B // 2^(8/64)
|
|
data8 0x0001A35BEB6FCB75 // 2^(9/64)
|
|
data8 0x0001D4873168B9AA // 2^(10/64)
|
|
data8 0x0002063B88628CD6 // 2^(11/64)
|
|
data8 0x0002387A6E756238 // 2^(12/64)
|
|
data8 0x00026B4565E27CDD // 2^(13/64)
|
|
data8 0x00029E9DF51FDEE1 // 2^(14/64)
|
|
data8 0x0002D285A6E4030B // 2^(15/64)
|
|
data8 0x000306FE0A31B715 // 2^(16/64)
|
|
data8 0x00033C08B26416FF // 2^(17/64)
|
|
data8 0x000371A7373AA9CB // 2^(18/64)
|
|
data8 0x0003A7DB34E59FF7 // 2^(19/64)
|
|
data8 0x0003DEA64C123422 // 2^(20/64)
|
|
data8 0x0004160A21F72E2A // 2^(21/64)
|
|
data8 0x00044E086061892D // 2^(22/64)
|
|
data8 0x000486A2B5C13CD0 // 2^(23/64)
|
|
data8 0x0004BFDAD5362A27 // 2^(24/64)
|
|
data8 0x0004F9B2769D2CA7 // 2^(25/64)
|
|
data8 0x0005342B569D4F82 // 2^(26/64)
|
|
data8 0x00056F4736B527DA // 2^(27/64)
|
|
data8 0x0005AB07DD485429 // 2^(28/64)
|
|
data8 0x0005E76F15AD2148 // 2^(29/64)
|
|
data8 0x0006247EB03A5585 // 2^(30/64)
|
|
data8 0x0006623882552225 // 2^(31/64)
|
|
data8 0x0006A09E667F3BCD // 2^(32/64)
|
|
data8 0x0006DFB23C651A2F // 2^(33/64)
|
|
data8 0x00071F75E8EC5F74 // 2^(34/64)
|
|
data8 0x00075FEB564267C9 // 2^(35/64)
|
|
data8 0x0007A11473EB0187 // 2^(36/64)
|
|
data8 0x0007E2F336CF4E62 // 2^(37/64)
|
|
data8 0x00082589994CCE13 // 2^(38/64)
|
|
data8 0x000868D99B4492ED // 2^(39/64)
|
|
data8 0x0008ACE5422AA0DB // 2^(40/64)
|
|
data8 0x0008F1AE99157736 // 2^(41/64)
|
|
data8 0x00093737B0CDC5E5 // 2^(42/64)
|
|
data8 0x00097D829FDE4E50 // 2^(43/64)
|
|
data8 0x0009C49182A3F090 // 2^(44/64)
|
|
data8 0x000A0C667B5DE565 // 2^(45/64)
|
|
data8 0x000A5503B23E255D // 2^(46/64)
|
|
data8 0x000A9E6B5579FDBF // 2^(47/64)
|
|
data8 0x000AE89F995AD3AD // 2^(48/64)
|
|
data8 0x000B33A2B84F15FB // 2^(49/64)
|
|
data8 0x000B7F76F2FB5E47 // 2^(50/64)
|
|
data8 0x000BCC1E904BC1D2 // 2^(51/64)
|
|
data8 0x000C199BDD85529C // 2^(52/64)
|
|
data8 0x000C67F12E57D14B // 2^(53/64)
|
|
data8 0x000CB720DCEF9069 // 2^(54/64)
|
|
data8 0x000D072D4A07897C // 2^(55/64)
|
|
data8 0x000D5818DCFBA487 // 2^(56/64)
|
|
data8 0x000DA9E603DB3285 // 2^(57/64)
|
|
data8 0x000DFC97337B9B5F // 2^(58/64)
|
|
data8 0x000E502EE78B3FF6 // 2^(59/64)
|
|
data8 0x000EA4AFA2A490DA // 2^(60/64)
|
|
data8 0x000EFA1BEE615A27 // 2^(61/64)
|
|
data8 0x000F50765B6E4540 // 2^(62/64)
|
|
data8 0x000FA7C1819E90D8 // 2^(63/64)
|
|
LOCAL_OBJECT_END(_coshf_table)
|
|
|
|
LOCAL_OBJECT_START(cosh_p_table)
|
|
data8 0x3efa3001dcf5905b // A4
|
|
data8 0x3f56c1437543543e // A3
|
|
data8 0x3fa5555572601504 // A2
|
|
data8 0x3fdfffffffe2f097 // A1
|
|
LOCAL_OBJECT_END(cosh_p_table)
|
|
|
|
|
|
.section .text
|
|
GLOBAL_IEEE754_ENTRY(coshf)
|
|
|
|
{ .mlx
|
|
getf.exp rSignexp_x = f8 // Must recompute if x unorm
|
|
movl r64DivLn2 = 0x40571547652B82FE // 64/ln(2)
|
|
}
|
|
{ .mlx
|
|
addl rTblAddr = @ltoff(_coshf_table),gp
|
|
movl rRightShifter = 0x43E8000000000000 // DP Right Shifter
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
// point to the beginning of the table
|
|
ld8 rTblAddr = [rTblAddr]
|
|
fclass.m p6, p0 = f8, 0x0b // Test for x=unorm
|
|
addl rA3 = 0x3E2AA, r0 // high bits of 1.0/6.0 rounded to SP
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
fnorm.s1 fNormX = f8 // normalized x
|
|
addl rExpHalf = 0xFFFE, r0 // exponent of 1/2
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
setf.d f64DivLn2 = r64DivLn2 // load 64/ln(2) to FP reg
|
|
fclass.m p15, p0 = f8, 0x1e3 // test for NaT,NaN,Inf
|
|
nop.i 0
|
|
}
|
|
{ .mlx
|
|
// load Right Shifter to FP reg
|
|
setf.d fRightShifter = rRightShifter
|
|
movl rLn2Div64 = 0x3F862E42FEFA39EF // DP ln(2)/64 in GR
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
mov rExp_mask = 0x1ffff
|
|
fcmp.eq.s1 p13, p0 = f0, f8 // test for x = 0.0
|
|
shl rA3 = rA3, 12 // 0x3E2AA000, approx to 1.0/6.0 in SP
|
|
}
|
|
{ .mfb
|
|
nop.m 0
|
|
nop.f 0
|
|
(p6) br.cond.spnt COSH_UNORM // Branch if x=unorm
|
|
}
|
|
;;
|
|
|
|
COSH_COMMON:
|
|
{ .mfi
|
|
setf.exp fA2 = rExpHalf // load A2 to FP reg
|
|
nop.f 0
|
|
mov rExp_bias = 0xffff
|
|
}
|
|
{ .mfb
|
|
setf.d fLn2Div64 = rLn2Div64 // load ln(2)/64 to FP reg
|
|
(p15) fma.s.s0 f8 = f8, f8, f0 // result if x = NaT,NaN,Inf
|
|
(p15) br.ret.spnt b0 // exit here if x = NaT,NaN,Inf
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
// min overflow and max normal threshold
|
|
ldfps fMIN_SGL_OFLOW_ARG, fMAX_SGL_NORM_ARG = [rTblAddr], 8
|
|
nop.f 0
|
|
and rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
|
|
}
|
|
{ .mfb
|
|
setf.s fA3 = rA3 // load A3 to FP reg
|
|
(p13) fma.s.s0 f8 = f1, f1, f0 // result if x = 0.0
|
|
(p13) br.ret.spnt b0 // exit here if x =0.0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
sub rExp_x = rExp_x, rExp_bias // True exponent of x
|
|
fmerge.s fAbsX = f0, fNormX // Form |x|
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
// x*(64/ln(2)) + Right Shifter
|
|
fma.s1 fNint = fNormX, f64DivLn2, fRightShifter
|
|
add rTblAddr = 8, rTblAddr
|
|
}
|
|
{ .mfb
|
|
cmp.gt p7, p0 = -2, rExp_x // Test |x| < 2^(-2)
|
|
fma.s1 fXsq = fNormX, fNormX, f0 // x*x for small path
|
|
(p7) br.cond.spnt COSH_SMALL // Branch if 0 < |x| < 2^-2
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
// check for overflow
|
|
fcmp.ge.s1 p12, p13 = fAbsX, fMIN_SGL_OFLOW_ARG
|
|
mov rJ_mask = 0x3f // 6-bit mask for J
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
nop.m 0
|
|
fms.s1 fN = fNint, f1, fRightShifter // n in FP register
|
|
// branch out if overflow
|
|
(p12) br.cond.spnt COSH_CERTAIN_OVERFLOW
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
getf.sig rNJ = fNint // bits of n, j
|
|
// check for possible overflow
|
|
fcmp.gt.s1 p13, p0 = fAbsX, fMAX_SGL_NORM_ARG
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
addl rN = 0xFFBF - 63, rNJ // biased and shifted n-1,j
|
|
fnma.s1 fR = fLn2Div64, fN, fNormX // R = x - N*ln(2)/64
|
|
and rJ = rJ_mask, rNJ // bits of j
|
|
}
|
|
{ .mfi
|
|
sub rNJ_neg = r0, rNJ // bits of n, j for -x
|
|
nop.f 0
|
|
andcm rN_mask = -1, rJ_mask // 0xff...fc0 to mask N
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
shladd rJ = rJ, 3, rTblAddr // address in the 2^(j/64) table
|
|
nop.f 0
|
|
and rN = rN_mask, rN // biased, shifted n-1
|
|
}
|
|
{ .mfi
|
|
addl rN_neg = 0xFFBF - 63, rNJ_neg // -x biased, shifted n-1,j
|
|
nop.f 0
|
|
and rJ_neg = rJ_mask, rNJ_neg // bits of j for -x
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
ld8 rJ = [rJ] // Table value
|
|
nop.f 0
|
|
shl rN = rN, 46 // 2^(n-1) bits in DP format
|
|
}
|
|
{ .mfi
|
|
shladd rJ_neg = rJ_neg, 3, rTblAddr // addr in 2^(j/64) table -x
|
|
nop.f 0
|
|
and rN_neg = rN_mask, rN_neg // biased, shifted n-1 for -x
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
ld8 rJ_neg = [rJ_neg] // Table value for -x
|
|
nop.f 0
|
|
shl rN_neg = rN_neg, 46 // 2^(n-1) bits in DP format for -x
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
or rN = rN, rJ // bits of 2^n * 2^(j/64) in DP format
|
|
nop.f 0
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mmf
|
|
setf.d fT = rN // 2^(n-1) * 2^(j/64)
|
|
or rN_neg = rN_neg, rJ_neg // -x bits of 2^n * 2^(j/64) in DP
|
|
fma.s1 fRSqr = fR, fR, f0 // R^2
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
setf.d fT_neg = rN_neg // 2^(n-1) * 2^(j/64) for -x
|
|
fma.s1 fP = fA3, fR, fA2 // A3*R + A2
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
fnma.s1 fP_neg = fA3, fR, fA2 // A3*R + A2 for -x
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 fP = fP, fRSqr, fR // P = (A3*R + A2)*R^2 + R
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
fms.s1 fP_neg = fP_neg, fRSqr, fR // P = (A3*R + A2)*R^2 + R, -x
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fmpy.s0 fTmp = fLn2Div64, fLn2Div64 // Force inexact
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 fExp = fP, fT, fT // exp(x)/2
|
|
nop.i 0
|
|
}
|
|
{ .mfb
|
|
nop.m 0
|
|
fma.s1 fExp_neg = fP_neg, fT_neg, fT_neg // exp(-x)/2
|
|
// branch out if possible overflow result
|
|
(p13) br.cond.spnt COSH_POSSIBLE_OVERFLOW
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
nop.m 0
|
|
// final result in the absence of overflow
|
|
fma.s.s0 f8 = fExp, f1, fExp_neg // result = (exp(x)+exp(-x))/2
|
|
// exit here in the absence of overflow
|
|
br.ret.sptk b0 // Exit main path, 0.25 <= |x| < 89.41598
|
|
}
|
|
;;
|
|
|
|
// Here if 0 < |x| < 0.25. Evaluate 8th order polynomial.
|
|
COSH_SMALL:
|
|
{ .mmi
|
|
add rAd1 = 0x200, rTblAddr
|
|
add rAd2 = 0x210, rTblAddr
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mmi
|
|
ldfpd fA4, fA3 = [rAd1]
|
|
ldfpd fA2, fA1 = [rAd2]
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 fX4 = fXsq, fXsq, f0
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 fA43 = fXsq, fA4, fA3
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 fA21 = fXsq, fA2, fA1
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 fA4321 = fX4, fA43, fA21
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
// Dummy multiply to generate inexact
|
|
{ .mfi
|
|
nop.m 0
|
|
fmpy.s0 fTmp = fA4, fA4
|
|
nop.i 0
|
|
}
|
|
{ .mfb
|
|
nop.m 0
|
|
fma.s.s0 f8 = fA4321, fXsq, f1
|
|
br.ret.sptk b0 // Exit if 0 < |x| < 0.25
|
|
}
|
|
;;
|
|
|
|
COSH_POSSIBLE_OVERFLOW:
|
|
|
|
// Here if fMAX_SGL_NORM_ARG < x < fMIN_SGL_OFLOW_ARG
|
|
// This cannot happen if input is a single, only if input higher precision.
|
|
// Overflow is a possibility, not a certainty.
|
|
|
|
// Recompute result using status field 2 with user's rounding mode,
|
|
// and wre set. If result is larger than largest single, then we have
|
|
// overflow
|
|
|
|
{ .mfi
|
|
mov rGt_ln = 0x1007f // Exponent for largest single + 1 ulp
|
|
fsetc.s2 0x7F,0x42 // Get user's round mode, set wre
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
setf.exp fGt_pln = rGt_ln // Create largest single + 1 ulp
|
|
fma.s.s2 fWre_urm_f8 = fP, fT, fT // Result with wre set
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fsetc.s2 0x7F,0x40 // Turn off wre in sf2
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fcmp.ge.s1 p6, p0 = fWre_urm_f8, fGt_pln // Test for overflow
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
nop.m 0
|
|
nop.f 0
|
|
(p6) br.cond.spnt COSH_CERTAIN_OVERFLOW // Branch if overflow
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
nop.m 0
|
|
fma.s.s0 f8 = fP, fT, fT
|
|
br.ret.sptk b0 // Exit if really no overflow
|
|
}
|
|
;;
|
|
|
|
// here if overflow
|
|
COSH_CERTAIN_OVERFLOW:
|
|
{ .mmi
|
|
addl r17ones_m1 = 0x1FFFE, r0
|
|
;;
|
|
setf.exp fTmp = r17ones_m1
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
alloc r32 = ar.pfs, 0, 3, 4, 0 // get some registers
|
|
fmerge.s FR_X = f8,f8
|
|
nop.i 0
|
|
}
|
|
{ .mfb
|
|
mov GR_Parameter_TAG = 65
|
|
fma.s.s0 FR_RESULT = fTmp, fTmp, f0 // Set I,O and +INF result
|
|
br.cond.sptk __libm_error_region
|
|
}
|
|
;;
|
|
|
|
// Here if x unorm
|
|
COSH_UNORM:
|
|
{ .mfb
|
|
getf.exp rSignexp_x = fNormX // Must recompute if x unorm
|
|
fcmp.eq.s0 p6, p0 = f8, f0 // Set D flag
|
|
br.cond.sptk COSH_COMMON // Return to main path
|
|
}
|
|
;;
|
|
|
|
GLOBAL_IEEE754_END(coshf)
|
|
libm_alias_float_other (__cosh, cosh)
|
|
|
|
|
|
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
|
|
{ .mfi
|
|
stfs [GR_Parameter_X] = FR_X // Store Parameter 1 on stack
|
|
nop.f 0
|
|
add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
|
|
}
|
|
{ .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#
|