/* ieee754-sf.S single-precision floating point support for ARM   Copyright (C) 2003, 2004  Free Software Foundation, Inc.   Contributed by Nicolas Pitre (nico@cam.org)   This file is free software; you can redistribute it and/or modify it   under the terms of the GNU General Public License as published by the   Free Software Foundation; either version 2, or (at your option) any   later version.   In addition to the permissions in the GNU General Public License, the   Free Software Foundation gives you unlimited permission to link the   compiled version of this file into combinations with other programs,   and to distribute those combinations without any restriction coming   from the use of this file.  (The General Public License restrictions   do apply in other respects; for example, they cover modification of   the file, and distribution when not linked into a combine   executable.)   This file 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   General Public License for more details.   You should have received a copy of the GNU General Public License   along with this program; see the file COPYING.  If not, write to   the Free Software Foundation, 59 Temple Place - Suite 330,   Boston, MA 02111-1307, USA.  *//* * Notes: * * The goal of this code is to be as fast as possible.  This is * not meant to be easy to understand for the casual reader. * * Only the default rounding mode is intended for best performances. * Exceptions aren't supported yet, but that can be added quite easily * if necessary without impacting performances. */#ifdef L_negsf2	ARM_FUNC_START negsf2	eor	r0, r0, #0x80000000	@ flip sign bit	RET	FUNC_END negsf2#endif#ifdef L_addsubsf3ARM_FUNC_START subsf3	eor	r1, r1, #0x80000000	@ flip sign bit of second arg#if defined(__thumb__) && !defined(__THUMB_INTERWORK__)	b	1f			@ Skip Thumb-code prologue#endifARM_FUNC_START addsf31:	@ Compare both args, return zero if equal but the sign.	eor	r2, r0, r1	teq	r2, #0x80000000	beq	LSYM(Lad_z)	@ If first arg is 0 or -0, return second arg.	@ If second arg is 0 or -0, return first arg.	bics	r2, r0, #0x80000000	moveq	r0, r1	bicnes	r2, r1, #0x80000000	RETc(eq)	@ Mask out exponents.	mov	ip, #0xff000000	and	r2, r0, ip, lsr #1	and	r3, r1, ip, lsr #1	@ If either of them is 255, result will be INF or NAN	teq	r2, ip, lsr #1	teqne	r3, ip, lsr #1	beq	LSYM(Lad_i)	@ Compute exponent difference.  Make largest exponent in r2,	@ corresponding arg in r0, and positive exponent difference in r3.	subs	r3, r3, r2	addgt	r2, r2, r3	eorgt	r1, r0, r1	eorgt	r0, r1, r0	eorgt	r1, r0, r1	rsblt	r3, r3, #0	@ If exponent difference is too large, return largest argument	@ already in r0.  We need up to 25 bit to handle proper rounding	@ of 0x1p25 - 1.1.	cmp	r3, #(25 << 23)	RETc(hi)	@ Convert mantissa to signed integer.	tst	r0, #0x80000000	orr	r0, r0, #0x00800000	bic	r0, r0, #0xff000000	rsbne	r0, r0, #0	tst	r1, #0x80000000	orr	r1, r1, #0x00800000	bic	r1, r1, #0xff000000	rsbne	r1, r1, #0	@ If exponent == difference, one or both args were denormalized.	@ Since this is not common case, rescale them off line.	teq	r2, r3	beq	LSYM(Lad_d)LSYM(Lad_x):	@ Scale down second arg with exponent difference.	@ Apply shift one bit left to first arg and the rest to second arg	@ to simplify things later, but only if exponent does not become 0.	movs	r3, r3, lsr #23	teqne	r2, #(1 << 23)	movne	r0, r0, lsl #1	subne	r2, r2, #(1 << 23)	subne	r3, r3, #1	@ Shift second arg into ip, keep leftover bits into r1.	mov	ip, r1, asr r3	rsb	r3, r3, #32	mov	r1, r1, lsl r3	add	r0, r0, ip		@ the actual addition	@ We now have a 64 bit result in r0-r1.	@ Keep absolute value in r0-r1, sign in r3.	ands	r3, r0, #0x80000000	bpl	LSYM(Lad_p)	rsbs	r1, r1, #0	rsc	r0, r0, #0	@ Determine how to normalize the result.LSYM(Lad_p):	cmp	r0, #0x00800000	bcc	LSYM(Lad_l)	cmp	r0, #0x01000000	bcc	LSYM(Lad_r0)	cmp	r0, #0x02000000	bcc	LSYM(Lad_r1)	@ Result needs to be shifted right.	movs	r0, r0, lsr #1	mov	r1, r1, rrx	add	r2, r2, #(1 << 23)LSYM(Lad_r1):	movs	r0, r0, lsr #1	mov	r1, r1, rrx	add	r2, r2, #(1 << 23)	@ Our result is now properly aligned into r0, remaining bits in r1.	@ Round with MSB of r1. If halfway between two numbers, round towards	@ LSB of r0 = 0. LSYM(Lad_r0):	add	r0, r0, r1, lsr #31	teq	r1, #0x80000000	biceq	r0, r0, #1	@ Rounding may have added a new MSB.  Adjust exponent.	@ That MSB will be cleared when exponent is merged below.	tst	r0, #0x01000000	addne	r2, r2, #(1 << 23)	@ Make sure we did not bust our exponent.	cmp	r2, #(254 << 23)	bhi	LSYM(Lad_o)	@ Pack final result together.LSYM(Lad_e):	bic	r0, r0, #0x01800000	orr	r0, r0, r2	orr	r0, r0, r3	RET	@ Result must be shifted left.	@ No rounding necessary since r1 will always be 0.LSYM(Lad_l):#if __ARM_ARCH__ < 5	movs	ip, r0, lsr #12	moveq	r0, r0, lsl #12	subeq	r2, r2, #(12 << 23)	tst	r0, #0x00ff0000	moveq	r0, r0, lsl #8	subeq	r2, r2, #(8 << 23)	tst	r0, #0x00f00000	moveq	r0, r0, lsl #4	subeq	r2, r2, #(4 << 23)	tst	r0, #0x00c00000	moveq	r0, r0, lsl #2	subeq	r2, r2, #(2 << 23)	tst	r0, #0x00800000	moveq	r0, r0, lsl #1	subeq	r2, r2, #(1 << 23)	cmp	r2, #0	bgt	LSYM(Lad_e)#else	clz	ip, r0	sub	ip, ip, #8	mov	r0, r0, lsl ip	subs	r2, r2, ip, lsl #23	bgt	LSYM(Lad_e)#endif	@ Exponent too small, denormalize result.	mvn	r2, r2, asr #23	add	r2, r2, #2	orr	r0, r3, r0, lsr r2	RET	@ Fixup and adjust bit position for denormalized arguments.	@ Note that r2 must not remain equal to 0.LSYM(Lad_d):	teq	r2, #0	eoreq	r0, r0, #0x00800000	addeq	r2, r2, #(1 << 23)	eor	r1, r1, #0x00800000	subne	r3, r3, #(1 << 23)	b	LSYM(Lad_x)	@ Result is x - x = 0, unless x is INF or NAN.LSYM(Lad_z):	mov	ip, #0xff000000	and	r2, r0, ip, lsr #1	teq	r2, ip, lsr #1	moveq	r0, ip, asr #2	movne	r0, #0	RET	@ Overflow: return INF.LSYM(Lad_o):	orr	r0, r3, #0x7f000000	orr	r0, r0, #0x00800000	RET	@ At least one of r0/r1 is INF/NAN.	@   if r0 != INF/NAN: return r1 (which is INF/NAN)	@   if r1 != INF/NAN: return r0 (which is INF/NAN)	@   if r0 or r1 is NAN: return NAN	@   if opposite sign: return NAN	@   return r0 (which is INF or -INF)LSYM(Lad_i):	teq	r2, ip, lsr #1	movne	r0, r1	teqeq	r3, ip, lsr #1	RETc(ne)	movs	r2, r0, lsl #9	moveqs	r2, r1, lsl #9	teqeq	r0, r1	orrne	r0, r3, #0x00400000	@ NAN	RET	FUNC_END addsf3	FUNC_END subsf3ARM_FUNC_START floatunsisf	mov	r3, #0	b	1fARM_FUNC_START floatsisf	ands	r3, r0, #0x80000000	rsbmi	r0, r0, #01:	teq	r0, #0	RETc(eq)	mov	r1, #0	mov	r2, #((127 + 23) << 23)	tst	r0, #0xfc000000	beq	LSYM(Lad_p)	@ We need to scale the value a little before branching to code above.	tst	r0, #0xf0000000	movne	r1, r0, lsl #28	movne	r0, r0, lsr #4	addne	r2, r2, #(4 << 23)	tst	r0, #0x0c000000	beq	LSYM(Lad_p)	mov	r1, r1, lsr #2	orr	r1, r1, r0, lsl #30	mov	r0, r0, lsr #2	add	r2, r2, #(2 << 23)	b	LSYM(Lad_p)	FUNC_END floatsisf	FUNC_END floatunsisf#endif /* L_addsubsf3 */#ifdef L_muldivsf3ARM_FUNC_START mulsf3	@ Mask out exponents.	mov	ip, #0xff000000	and	r2, r0, ip, lsr #1	and	r3, r1, ip, lsr #1	@ Trap any INF/NAN.	teq	r2, ip, lsr #1	teqne	r3, ip, lsr #1	beq	LSYM(Lml_s)	@ Trap any multiplication by 0.	bics	ip, r0, #0x80000000	bicnes	ip, r1, #0x80000000	beq	LSYM(Lml_z)	@ Shift exponents right one bit to make room for overflow bit.	@ If either of them is 0, scale denormalized arguments off line.	@ Then add both exponents together.	movs	r2, r2, lsr #1	teqne	r3, #0	beq	LSYM(Lml_d)LSYM(Lml_x):	add	r2, r2, r3, asr #1	@ Preserve final sign in r2 along with exponent for now.	teq	r0, r1	orrmi	r2, r2, #0x8000	@ Convert mantissa to unsigned integer.	bic	r0, r0, #0xff000000	bic	r1, r1, #0xff000000	orr	r0, r0, #0x00800000	orr	r1, r1, #0x00800000#if __ARM_ARCH__ < 4	@ Well, no way to make it shorter without the umull instruction.	@ We must perform that 24 x 24 -> 48 bit multiplication by hand.	stmfd	sp!, {r4, r5}	mov	r4, r0, lsr #16	mov	r5, r1, lsr #16	bic	r0, r0, #0x00ff0000	bic	r1, r1, #0x00ff0000	mul	ip, r4, r5	mul	r3, r0, r1	mul	r0, r5, r0	mla	r0, r4, r1, r0	adds	r3, r3, r0, lsl #16	adc	ip, ip, r0, lsr #16	ldmfd	sp!, {r4, r5}#else	umull	r3, ip, r0, r1		@ The actual multiplication.#endif	@ Put final sign in r0.	mov	r0, r2, lsl #16	bic	r2, r2, #0x8000	@ Adjust result if one extra MSB appeared.	@ The LSB may be lost but this never changes the result in this case.	tst	ip, #(1 << 15)	addne	r2, r2, #(1 << 22)	movnes	ip, ip, lsr #1	movne	r3, r3, rrx	@ Apply exponent bias, check range for underflow.	subs	r2, r2, #(127 << 22)	ble	LSYM(Lml_u)	@ Scale back to 24 bits with rounding.	@ r0 contains sign bit already.	orrs	r0, r0, r3, lsr #23	adc	r0, r0, ip, lsl #9	@ If halfway between two numbers, rounding should be towards LSB = 0.	mov	r3, r3, lsl #9	teq	r3, #0x80000000	biceq	r0, r0, #1	@ Note: rounding may have produced an extra MSB here.	@ The extra bit is cleared before merging the exponent below.	tst	r0, #0x01000000	addne	r2, r2, #(1 << 22)	@ Check for exponent overflow	cmp	r2, #(255 << 22)	bge	LSYM(Lml_o)	@ Add final exponent.	bic	r0, r0, #0x01800000	orr	r0, r0, r2, lsl #1	RET	@ Result is 0, but determine sign anyway.LSYM(Lml_z):	eor	r0, r0, r1	bic	r0, r0, #0x7fffffff	RET	@ Check if denormalized result is possible, otherwise return signed 0.LSYM(Lml_u):	cmn	r2, #(24 << 22)	RETc(le)	@ Find out proper shift value.