path: root/arch/m68k/fpsp040/bindec.S

|
|	bindec.sa 3.4 1/3/91
|
|	bindec
|
|	Description:
|		Converts an input in extended precision format
|		to bcd format.
|
|	Input:
|		a0 points to the input extended precision value
|		value in memory; d0 contains the k-factor sign-extended
|		to 32-bits.  The input may be either normalized,
|		unnormalized, or denormalized.
|
|	Output:	result in the FP_SCR1 space on the stack.
|
|	Saves and Modifies: D2-D7,A2,FP2
|
|	Algorithm:
|
|	A1.	Set RM and size ext;  Set SIGMA = sign of input.
|		The k-factor is saved for use in d7. Clear the
|		BINDEC_FLG for separating normalized/denormalized
|		input.  If input is unnormalized or denormalized,
|		normalize it.
|
|	A2.	Set X = abs(input).
|
|	A3.	Compute ILOG.
|		ILOG is the log base 10 of the input value.  It is
|		approximated by adding e + 0.f when the original
|		value is viewed as 2^^e * 1.f in extended precision.
|		This value is stored in d6.
|
|	A4.	Clr INEX bit.
|		The operation in A3 above may have set INEX2.
|
|	A5.	Set ICTR = 0;
|		ICTR is a flag used in A13.  It must be set before the
|		loop entry A6.
|
|	A6.	Calculate LEN.
|		LEN is the number of digits to be displayed.  The
|		k-factor can dictate either the total number of digits,
|		if it is a positive number, or the number of digits
|		after the decimal point which are to be included as
|		significant.  See the 68882 manual for examples.
|		If LEN is computed to be greater than 17, set OPERR in
|		USER_FPSR.  LEN is stored in d4.
|
|	A7.	Calculate SCALE.
|		SCALE is equal to 10^ISCALE, where ISCALE is the number
|		of decimal places needed to insure LEN integer digits
|		in the output before conversion to bcd. LAMBDA is the
|		sign of ISCALE, used in A9. Fp1 contains
|		10^^(abs(ISCALE)) using a rounding mode which is a
|		function of the original rounding mode and the signs
|		of ISCALE and X.  A table is given in the code.
|
|	A8.	Clr INEX; Force RZ.
|		The operation in A3 above may have set INEX2.
|		RZ mode is forced for the scaling operation to insure
|		only one rounding error.  The grs bits are collected in
|		the INEX flag for use in A10.
|
|	A9.	Scale X -> Y.
|		The mantissa is scaled to the desired number of
|		significant digits.  The excess digits are collected
|		in INEX2.
|
|	A10.	Or in INEX.
|		If INEX is set, round error occurred.  This is
|		compensated for by 'or-ing' in the INEX2 flag to
|		the lsb of Y.
|
|	A11.	Restore original FPCR; set size ext.
|		Perform FINT operation in the user's rounding mode.
|		Keep the size to extended.
|
|	A12.	Calculate YINT = FINT(Y) according to user's rounding
|		mode.  The FPSP routine sintd0 is used.  The output
|		is in fp0.
|
|	A13.	Check for LEN digits.
|		If the int operation results in more than LEN digits,
|		or less than LEN -1 digits, adjust ILOG and repeat from
|		A6.  This test occurs only on the first pass.  If the
|		result is exactly 10^LEN, decrement ILOG and divide
|		the mantissa by 10.
|
|	A14.	Convert the mantissa to bcd.
|		The binstr routine is used to convert the LEN digit
|		mantissa to bcd in memory.  The input to binstr is
|		to be a fraction; i.e. (mantissa)/10^LEN and adjusted
|		such that the decimal point is to the left of bit 63.
|		The bcd digits are stored in the correct position in
|		the final string area in memory.
|
|	A15.	Convert the exponent to bcd.
|		As in A14 above, the exp is converted to bcd and the
|		digits are stored in the final string.
|		Test the length of the final exponent string.  If the
|		length is 4, set operr.
|
|	A16.	Write sign bits to final string.
|
|	Implementation Notes:
|
|	The registers are used as follows:
|
|		d0: scratch; LEN input to binstr
|		d1: scratch
|		d2: upper 32-bits of mantissa for binstr
|		d3: scratch;lower 32-bits of mantissa for binstr
|		d4: LEN
|		d5: LAMBDA/ICTR
|		d6: ILOG
|		d7: k-factor
|		a0: ptr for original operand/final result
|		a1: scratch pointer
|		a2: pointer to FP_X; abs(original value) in ext
|		fp0: scratch
|		fp1: scratch
|		fp2: scratch
|		F_SCR1:
|		F_SCR2:
|		L_SCR1:
|		L_SCR2:

|		Copyright (C) Motorola, Inc. 1990
|			All Rights Reserved
|
|       For details on the license for this file, please see the
|       file, README, in this same directory.

|BINDEC    idnt    2,1 | Motorola 040 Floating Point Software Package

#include "fpsp.h"

	|section	8

| Constants in extended precision
LOG2:	.long	0x3FFD0000,0x9A209A84,0xFBCFF798,0x00000000
LOG2UP1:	.long	0x3FFD0000,0x9A209A84,0xFBCFF799,0x00000000

| Constants in single precision
FONE:	.long	0x3F800000,0x00000000,0x00000000,0x00000000
FTWO:	.long	0x40000000,0x00000000,0x00000000,0x00000000
FTEN:	.long	0x41200000,0x00000000,0x00000000,0x00000000
F4933:	.long	0x459A2800,0x00000000,0x00000000,0x00000000

RBDTBL:	.byte	0,0,0,0
	.byte	3,3,2,2
	.byte	3,2,2,3
	.byte	2,3,3,2

	|xref	binstr
	|xref	sintdo
	|xref	ptenrn,ptenrm,ptenrp

	.global	bindec
	.global	sc_mul
bindec:
	moveml	%d2-%d7/%a2,-(%a7)
	fmovemx %fp0-%fp2,-(%a7)

| A1. Set RM and size ext. Set SIGMA = sign input;
|     The k-factor is saved for use in d7.  Clear BINDEC_FLG for
|     separating  normalized/denormalized input.  If the input
|     is a denormalized number, set the BINDEC_FLG memory word
|     to signal denorm.  If the input is unnormalized, normalize
|     the input and test for denormalized result.
|
	fmovel	#rm_mode,%FPCR	|set RM and ext
	movel	(%a0),L_SCR2(%a6)	|save exponent for sign check
	movel	%d0,%d7		|move k-factor to d7
	clrb	BINDEC_FLG(%a6)	|clr norm/denorm flag
	movew	STAG(%a6),%d0	|get stag
	andiw	#0xe000,%d0	|isolate stag bits
	beq	A2_str		|if zero, input is norm
|
| Normalize the denorm
|
un_de_norm:
	movew	(%a0),%d0
	andiw	#0x7fff,%d0	|strip sign of normalized exp
	movel	4(%a0),%d1
	movel	8(%a0),%d2
norm_loop:
	subw	#1,%d0
	lsll	#1,%d2
	roxll	#1,%d1
	tstl	%d1
	bges	norm_loop
|
| Test if the normalized input is denormalized
|
	tstw	%d0
	bgts	pos_exp		|if greater than zero, it is a norm
	st	BINDEC_FLG(%a6)	|set flag for denorm
pos_exp:
	andiw	#0x7fff,%d0	|strip sign of normalized exp
	movew	%d0,(%a0)
	movel	%d1,4(%a0)
	movel	%d2,8(%a0)

| A2. Set X = abs(input).
|
A2_str:
	movel	(%a0),FP_SCR2(%a6) | move input to work space
	movel	4(%a0),FP_SCR2+4(%a6) | move input to work space
	movel	8(%a0),FP_SCR2+8(%a6) | move input to work space
	andil	#0x7fffffff,FP_SCR2(%a6) |create abs(X)

| A3. Compute ILOG.
|     ILOG is the log base 10 of the input value.  It is approx-
|     imated by adding e + 0.f when the original value is viewed
|     as 2^^e * 1.f in extended precision.  This value is stored
|     in d6.
|
| Register usage:
|	Input/Output
|	d0: k-factor/exponent
|	d2: x/x
|	d3: x/x
|	d4: x/x
|	d5: x/x
|	d6: x/ILOG
|	d7: k-factor/Unchanged
|	a0: ptr for original operand/final result
|	a1: x/x
|	a2: x/x
|	fp0: x/float(ILOG)
|	fp1: x/x
|	fp2: x/x
|	F_SCR1:x/x
|	F_SCR2:Abs(X)/Abs(X) with $3fff exponent
|	L_SCR1:x/x
|	L_SCR2:first word of X packed/Unchanged

	tstb	BINDEC_FLG(%a6)	|check for denorm
	beqs	A3_cont		|if clr, continue with norm
	movel	#-4933,%d6	|force ILOG = -4933
	bras	A4_str
A3_cont:
	movew	FP_SCR2(%a6),%d0	|move exp to d0
	movew	#0x3fff,FP_SCR2(%a6) |replace exponent with 0x3fff
	fmovex	FP_SCR2(%a6),%fp0	|now fp0 has 1.f
	subw	#0x3fff,%d0	|strip off bias
	faddw	%d0,%fp0		|add in exp
	fsubs	FONE,%fp0	|subtract off 1.0
	fbge	pos_res		|if pos, branch
	fmulx	LOG2UP1,%fp0	|if neg, mul by LOG2UP1
	fmovel	%fp0,%d6		|put ILOG in d6 as a lword
	bras	A4_str		|go move out ILOG
pos_res:
	fmulx	LOG2,%fp0	|if pos, mul by LOG2
	fmovel	%fp0,%d6		|put ILOG in d6 as a lword


| A4. Clr INEX bit.
|     The operation in A3 above may have set INEX2.

A4_str:
	fmovel	#0,%FPSR		|zero all of fpsr - nothing needed


| A5. Set ICTR = 0;
|     ICTR is a flag used in A13.  It must be set before the
|     loop entry A6. The lower word of d5 is used for ICTR.

	clrw	%d5		|clear ICTR


| A6. Calculate LEN.
|     LEN is the number of digits to be displayed.  The k-factor
|     can dictate either the total number of digits, if it is
|     a positive number, or the number of digits after the
|     original decimal point which are to be included as
|     significant.  See the 68882 manual for examples.
|     If LEN is computed to be greater than 17, set OPERR in
|     USER_FPSR.  LEN is stored in d4.
|
| Register usage:
|	Input/Output
|	d0: exponent/Unchanged
|	d2: x/x/scratch
|	d3: x/x
|	d4: exc picture/LEN
|	d5: ICTR/Unchanged
|	d6: ILOG/Unchanged
|	d7: k-factor/Unchanged
|	a0: ptr for original operand/final result
|	a1: x/x
|	a2: x/x
|	fp0: float(ILOG)/Unchanged
|	fp1: x/x
|	fp2: x/x
|	F_SCR1:x/x
|	F_SCR2:Abs(X) with $3fff exponent/Unchanged
|	L_SCR1:x/x
|	L_SCR2:first word of X packed/Unchanged

A6_str:
	tstl	%d7		|branch on sign of k
	bles	k_neg		|if k <= 0, LEN = ILOG + 1 - k
	movel	%d7,%d4		|if k > 0, LEN = k
	bras	len_ck		|skip to LEN check
k_neg:
	movel	%d6,%d4		|first load ILOG to d4
	subl	%d7,%d4		|subtract off k
	addql	#1,%d4		|add in the 1
len_ck:
	tstl	%d4		|LEN check: branch on sign of LEN
	bles	LEN_ng		|if neg, set LEN = 1
	cmpl	#17,%d4		|test if LEN > 17
	bles	A7_str		|if not, forget it
	movel	#17,%d4		|set max LEN = 17
	tstl	%d7		|if negative, never set OPERR
	bles	A7_str		|if positive, continue
	orl	#opaop_mask,USER_FPSR(%a6) |set OPERR & AIOP in USER_FPSR
	bras	A7_str		|finished here
LEN_ng:
	moveql	#1,%d4		|min LEN is 1


| A7. Calculate SCALE.
|     SCALE is equal to 10^ISCALE, where ISCALE is the number
|     of decimal places needed to insure LEN integer digits
|     in the output before conversion to bcd. LAMBDA is the sign
|     of ISCALE, used in A9.  Fp1 contains 10^^(abs(ISCALE)) using
|     the rounding mode as given in the following table (see
|     Coonen, p. 7.23 as ref.; however, the SCALE variable is
|     of opposite sign in bindec.sa from Coonen).
|
|	Initial					USE
|	FPCR[6:5]	LAMBDA	SIGN(X)		FPCR[6:5]
|	----------------------------------------------
|	 RN	00	   0	   0		00/0	RN
|	 RN	00	   0	   1		00/0	RN
|	 RN	00	   1	   0		00/0	RN
|	 RN	00	   1	   1		00/0	RN
|	 RZ	01	   0	   0		11/3	RP
|	 RZ	01	   0	   1		11/3	RP
|	 RZ	01	   1	   0		10/2	RM
|	 RZ	01	   1	   1		10/2	RM
|	 RM	10	   0	   0		11/3	RP
|	 RM	10	   0	   1		10/2	RM
|	 RM	10	   1	   0		10/2	RM
|	 RM	10	   1	   1		11/3	RP
|	 RP	11	   0	   0		10/2	RM
|	 RP	11	   0	   1		11/3	RP
|	 RP	11	   1	   0		11/3	RP
|	 RP	11	   1	   1		10/2	RM
|
| Register usage:
|	Input/Output
|	d0: exponent/scratch - final is 0
|	d2: x/0 or 24 for A9
|	d3: x/scratch - offset ptr into PTENRM array
|	d4: LEN/Unchanged
|	d5: 0/ICTR:LAMBDA
|	d6: ILOG/ILOG or k if ((k<=0)&(ILOG<k))
|	d7: k-factor/Unchanged
|	a0: ptr for original operand/final result
|	a1: x/ptr to PTENRM array
|	a2: x/x
|	fp0: float(ILOG)/Unchanged
|	fp1: x/10^ISCALE
|	fp2: x/x
|	F_SCR1:x/x
|	F_SCR2:Abs(X) with $3fff exponent/Unchanged
|	L_SCR1:x/x
|	L_SCR2:first word of X packed/Unchanged

A7_str:
	tstl	%d7		|test sign of k
	bgts	k_pos		|if pos and > 0, skip this
	cmpl	%d6,%d7		|test k - ILOG
	blts	k_pos		|if ILOG >= k, skip this
	movel	%d7,%d6		|if ((k<0) & (ILOG < k)) ILOG = k
k_pos:
	movel	%d6,%d0		|calc ILOG + 1 - LEN in d0
	addql	#1,%d0		|add the 1
	subl	%d4,%d0		|sub off LEN
	swap	%d5		|use upper word of d5 for LAMBDA
	clrw	%d5		|set it zero initially
	clrw	%d2		|set up d2 for very small case
	tstl	%d0		|test sign of ISCALE
	bges	iscale		|if pos, skip next inst
	addqw	#1,%d5		|if neg, set LAMBDA true
	cmpl	#0xffffecd4,%d0	|test iscale <= -4908
	bgts	no_inf		|if false, skip rest
	addil	#24,%d0		|add in 24 to iscale
	movel	#24,%d2		|put 24 in d2 for A9
no_inf:
	negl	%d0		|and take abs of ISCALE
iscale:
	fmoves	FONE,%fp1	|init fp1 to 1
	bfextu	USER_FPCR(%a6){#26:#2},%d1 |get initial rmode bits
	lslw	#1,%d1		|put them in bits 2:1
	addw	%d5,%d1		|add in LAMBDA
	lslw	#1,%d1		|put them in bits 3:1
	tstl	L_SCR2(%a6)	|test sign of original x
	bges	x_pos		|if pos, don't set bit 0
	addql	#1,%d1		|if neg, set bit 0
x_pos:
	leal	RBDTBL,%a2	|load rbdtbl base
	moveb	(%a2,%d1),%d3	|load d3 with new rmode
	lsll	#4,%d3		|put bits in proper position
	fmovel	%d3,%fpcr		|load bits into fpu
	lsrl	#4,%d3		|put bits in proper position
	tstb	%d3		|decode new rmode for pten table
	bnes	not_rn		|if zero, it is RN