glibc/sysdeps/libm-i387/s_cexp.S

/* 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)