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/* ix87 specific implementation of complex exponential function for double.
Copyright (C) 1997 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Library General Public License as
published by the Free Software Foundation; either version 2 of the
License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with the GNU C Library; see the file COPYING.LIB. If not,
write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
#include <sysdep.h>
#ifdef __ELF__
.section .rodata
#else
.text
#endif
.align ALIGNARG(4)
ASM_TYPE_DIRECTIVE(huge_nan_null_null,@object)
huge_nan_null_null:
.byte 0, 0, 0, 0, 0, 0, 0xf0, 0x7f
.byte 0, 0, 0, 0, 0, 0, 0xff, 0x7f
.double 0.0
.double 0.0
.byte 0, 0, 0, 0, 0, 0, 0xf0, 0x7f
.byte 0, 0, 0, 0, 0, 0, 0xff, 0x7f
.double 0.0
.byte 0, 0, 0, 0, 0, 0, 0, 0x80
ASM_SIZE_DIRECTIVE(huge_nan_null_null)
ASM_TYPE_DIRECTIVE(twopi,@object)
twopi:
.byte 0x35, 0xc2, 0x68, 0x21, 0xa2, 0xda, 0xf, 0xc9, 0x1, 0x40
.byte 0, 0, 0, 0, 0, 0
ASM_SIZE_DIRECTIVE(twopi)
ASM_TYPE_DIRECTIVE(l2e,@object)
l2e:
.byte 0xbc, 0xf0, 0x17, 0x5c, 0x29, 0x3b, 0xaa, 0xb8, 0xff, 0x3f
.byte 0, 0, 0, 0, 0, 0
ASM_SIZE_DIRECTIVE(l2e)
ASM_TYPE_DIRECTIVE(one,@object)
one: .double 1.0
ASM_SIZE_DIRECTIVE(one)
#ifdef PIC
#define MO(op) op##@GOTOFF(%ecx)
#define MOX(op,x,f) op##@GOTOFF(%ecx,x,f)
#else
#define MO(op) op
#define MOX(op,x,f) op(,x,f)
#endif
.text
ENTRY(__cexp)
fldl 8(%esp) /* x */
fxam
fnstsw
fldl 16(%esp) /* y : x */
#ifdef PIC
call 1f
1: popl %ecx
addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %ecx
#endif
movb %ah, %dh
andb $0x45, %ah
cmpb $0x05, %ah
je 1f /* Jump if real part is +-Inf */
cmpb $0x01, %ah
je 2f /* Jump if real part is NaN */
fxam /* y : x */
fnstsw
/* If the imaginary part is not finite we return NaN+i NaN, as
for the case when the real part is NaN. A test for +-Inf and
NaN would be necessary. But since we know the stack register
we applied `fxam' to is not empty we can simply use one test.
Check your FPU manual for more information. */
andb $0x01, %ah
cmpb $0x01, %ah
je 2f
/* We have finite numbers in the real and imaginary part. Do
the real work now. */
fxch /* x : y */
fldt MO(l2e) /* log2(e) : x : y */
fmulp /* x * log2(e) : y */
fld %st /* x * log2(e) : x * log2(e) : y */
frndint /* int(x * log2(e)) : x * log2(e) : y */
fsubr %st, %st(1) /* int(x * log2(e)) : frac(x * log2(e)) : y */
fxch /* frac(x * log2(e)) : int(x * log2(e)) : y */
f2xm1 /* 2^frac(x * log2(e))-1 : int(x * log2(e)) : y */
faddl MO(one) /* 2^frac(x * log2(e)) : int(x * log2(e)) : y */
fscale /* e^x : int(x * log2(e)) : y */
fst %st(1) /* e^x : e^x : y */
fxch %st(2) /* y : e^x : e^x */
fsincos /* cos(y) : sin(y) : e^x : e^x */
fnstsw
testl $0x400, %eax
jnz 7f
fmulp %st, %st(3) /* sin(y) : e^x : e^x * cos(y) */
fmulp %st, %st(1) /* e^x * sin(y) : e^x * cos(y) */
movl 4(%esp), %eax /* Pointer to memory for result. */
fstpl 8(%eax)
fstpl (%eax)
ret $4
/* We have to reduce the argument to fsincos. */
.align ALIGNARG(4)
7: fldt MO(twopi) /* 2*pi : y : e^x : e^x */
fxch /* y : 2*pi : e^x : e^x */
8: fprem1 /* y%(2*pi) : 2*pi : e^x : e^x */
fnstsw
testl $0x400, %eax
jnz 8b
fstp %st(1) /* y%(2*pi) : e^x : e^x */
fsincos /* cos(y) : sin(y) : e^x : e^x */
fmulp %st, %st(3)
fmulp %st, %st(1)
movl 4(%esp), %eax /* Pointer to memory for result. */
fstpl 8(%eax)
fstpl (%eax)
ret $4
/* The real part is +-inf. We must make further differences. */
.align ALIGNARG(4)
1: fxam /* y : x */
fnstsw
movb %ah, %dl
andb $0x01, %ah /* See above why 0x01 is usable here. */
cmpb $0x01, %ah
je 3f
/* The real part is +-Inf and the imaginary part is finite. */
andl $0x245, %edx
cmpb $0x40, %dl /* Imaginary part == 0? */
je 4f /* Yes -> */
fxch /* x : y */
shrl $5, %edx
fstp %st(0) /* y */ /* Drop the real part. */
andl $16, %edx /* This puts the sign bit of the real part
in bit 4. So we can use it to index a
small array to select 0 or Inf. */
fsincos /* cos(y) : sin(y) */
fnstsw
testl $0x0400, %eax
jnz 5f
fldl MOX(huge_nan_null_null,%edx,1)
movl 4(%esp), %edx /* Pointer to memory for result. */
fstl 8(%edx)
fstpl (%edx)
ftst
fnstsw
shll $23, %eax
andl $0x80000000, %eax
orl %eax, 4(%edx)
fstp %st(0)
ftst
fnstsw
shll $23, %eax
andl $0x80000000, %eax
orl %eax, 12(%edx)
fstp %st(0)
ret $4
/* We must reduce the argument to fsincos. */
.align ALIGNARG(4)
5: fldt MO(twopi)
fxch
6: fprem1
fnstsw
testl $0x400, %eax
jnz 6b
fstp %st(1)
fsincos
fldl MOX(huge_nan_null_null,%edx,1)
movl 4(%esp), %edx /* Pointer to memory for result. */
fstl 8(%edx)
fstpl (%edx)
ftst
fnstsw
shll $23, %eax
andl $0x80000000, %eax
orl %eax, 4(%edx)
fstp %st(0)
ftst
fnstsw
shll $23, %eax
andl $0x80000000, %eax
orl %eax, 12(%edx)
fstp %st(0)
ret $4
/* The real part is +-Inf and the imaginary part is +-0. So return
+-Inf+-0i. */
.align ALIGNARG(4)
4: movl 4(%esp), %eax /* Pointer to memory for result. */
fstpl 8(%eax)
shrl $5, %edx
fstp %st(0)
andl $16, %edx
fldl MOX(huge_nan_null_null,%edx,1)
fstpl (%eax)
ret $4
/* The real part is +-Inf, the imaginary is also is not finite. */
.align ALIGNARG(4)
3: fstp %st(0)
fstp %st(0) /* <empty> */
movl %edx, %eax
shrl $5, %edx
shll $4, %eax
andl $16, %edx
andl $32, %eax
orl %eax, %edx
movl 4(%esp), %eax /* Pointer to memory for result. */
fldl MOX(huge_nan_null_null,%edx,1)
fldl MOX(huge_nan_null_null+8,%edx,1)
fstpl 8(%eax)
fstpl (%eax)
ret $4
/* The real part is NaN. */
.align ALIGNARG(4)
2: fstp %st(0)
fstp %st(0)
movl 4(%esp), %eax /* Pointer to memory for result. */
fldl MO(huge_nan_null_null+8)
fstl (%eax)
fstpl 8(%eax)
ret $4
END(__cexp)
weak_alias (__cexp, cexp)
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