1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
|
|
| sint.sa 3.1 12/10/90
|
| The entry point sINT computes the rounded integer
| equivalent of the input argument, sINTRZ computes
| the integer rounded to zero of the input argument.
|
| Entry points sint and sintrz are called from do_func
| to emulate the fint and fintrz unimplemented instructions,
| respectively. Entry point sintdo is used by bindec.
|
| Input: (Entry points sint and sintrz) Double-extended
| number X in the ETEMP space in the floating-point
| save stack.
| (Entry point sintdo) Double-extended number X in
| location pointed to by the address register a0.
| (Entry point sintd) Double-extended denormalized
| number X in the ETEMP space in the floating-point
| save stack.
|
| Output: The function returns int(X) or intrz(X) in fp0.
|
| Modifies: fp0.
|
| Algorithm: (sint and sintrz)
|
| 1. If exp(X) >= 63, return X.
| If exp(X) < 0, return +/- 0 or +/- 1, according to
| the rounding mode.
|
| 2. (X is in range) set rsc = 63 - exp(X). Unnormalize the
| result to the exponent $403e.
|
| 3. Round the result in the mode given in USER_FPCR. For
| sintrz, force round-to-zero mode.
|
| 4. Normalize the rounded result; store in fp0.
|
| For the denormalized cases, force the correct result
| for the given sign and rounding mode.
|
| Sign(X)
| RMODE + -
| ----- --------
| RN +0 -0
| RZ +0 -0
| RM +0 -1
| RP +1 -0
|
|
| 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.
|SINT idnt 2,1 | Motorola 040 Floating Point Software Package
|section 8
#include "fpsp.h"
|xref dnrm_lp
|xref nrm_set
|xref round
|xref t_inx2
|xref ld_pone
|xref ld_mone
|xref ld_pzero
|xref ld_mzero
|xref snzrinx
|
| FINT
|
.global sint
sint:
bfextu FPCR_MODE(%a6){#2:#2},%d1 |use user's mode for rounding
| ;implicitly has extend precision
| ;in upper word.
movel %d1,L_SCR1(%a6) |save mode bits
bras sintexc
|
| FINT with extended denorm inputs.
|
.global sintd
sintd:
btstb #5,FPCR_MODE(%a6)
beq snzrinx |if round nearest or round zero, +/- 0
btstb #4,FPCR_MODE(%a6)
beqs rnd_mns
rnd_pls:
btstb #sign_bit,LOCAL_EX(%a0)
bnes sintmz
bsr ld_pone |if round plus inf and pos, answer is +1
bra t_inx2
rnd_mns:
btstb #sign_bit,LOCAL_EX(%a0)
beqs sintpz
bsr ld_mone |if round mns inf and neg, answer is -1
bra t_inx2
sintpz:
bsr ld_pzero
bra t_inx2
sintmz:
bsr ld_mzero
bra t_inx2
|
| FINTRZ
|
.global sintrz
sintrz:
movel #1,L_SCR1(%a6) |use rz mode for rounding
| ;implicitly has extend precision
| ;in upper word.
bras sintexc
|
| SINTDO
|
| Input: a0 points to an IEEE extended format operand
| Output: fp0 has the result
|
| Exceptions:
|
| If the subroutine results in an inexact operation, the inx2 and
| ainx bits in the USER_FPSR are set.
|
|
.global sintdo
sintdo:
bfextu FPCR_MODE(%a6){#2:#2},%d1 |use user's mode for rounding
| ;implicitly has ext precision
| ;in upper word.
movel %d1,L_SCR1(%a6) |save mode bits
|
| Real work of sint is in sintexc
|
sintexc:
bclrb #sign_bit,LOCAL_EX(%a0) |convert to internal extended
| ;format
sne LOCAL_SGN(%a0)
cmpw #0x403e,LOCAL_EX(%a0) |check if (unbiased) exp > 63
bgts out_rnge |branch if exp < 63
cmpw #0x3ffd,LOCAL_EX(%a0) |check if (unbiased) exp < 0
bgt in_rnge |if 63 >= exp > 0, do calc
|
| Input is less than zero. Restore sign, and check for directed
| rounding modes. L_SCR1 contains the rmode in the lower byte.
|
un_rnge:
btstb #1,L_SCR1+3(%a6) |check for rn and rz
beqs un_rnrz
tstb LOCAL_SGN(%a0) |check for sign
bnes un_rmrp_neg
|
| Sign is +. If rp, load +1.0, if rm, load +0.0
|
cmpib #3,L_SCR1+3(%a6) |check for rp
beqs un_ldpone |if rp, load +1.0
bsr ld_pzero |if rm, load +0.0
bra t_inx2
un_ldpone:
bsr ld_pone
bra t_inx2
|
| Sign is -. If rm, load -1.0, if rp, load -0.0
|
un_rmrp_neg:
cmpib #2,L_SCR1+3(%a6) |check for rm
beqs un_ldmone |if rm, load -1.0
bsr ld_mzero |if rp, load -0.0
bra t_inx2
un_ldmone:
bsr ld_mone
bra t_inx2
|
| Rmode is rn or rz; return signed zero
|
un_rnrz:
tstb LOCAL_SGN(%a0) |check for sign
bnes un_rnrz_neg
bsr ld_pzero
bra t_inx2
un_rnrz_neg:
bsr ld_mzero
bra t_inx2
|
| Input is greater than 2^63. All bits are significant. Return
| the input.
|
out_rnge:
bfclr LOCAL_SGN(%a0){#0:#8} |change back to IEEE ext format
beqs intps
bsetb #sign_bit,LOCAL_EX(%a0)
intps:
fmovel %fpcr,-(%sp)
fmovel #0,%fpcr
fmovex LOCAL_EX(%a0),%fp0 |if exp > 63
| ;then return X to the user
| ;there are no fraction bits
fmovel (%sp)+,%fpcr
rts
in_rnge:
| ;shift off fraction bits
clrl %d0 |clear d0 - initial g,r,s for
| ;dnrm_lp
movel #0x403e,%d1 |set threshold for dnrm_lp
| ;assumes a0 points to operand
bsr dnrm_lp
| ;returns unnormalized number
| ;pointed by a0
| ;output d0 supplies g,r,s
| ;used by round
movel L_SCR1(%a6),%d1 |use selected rounding mode
|
|
bsr round |round the unnorm based on users
| ;input a0 ptr to ext X
| ; d0 g,r,s bits
| ; d1 PREC/MODE info
| ;output a0 ptr to rounded result
| ;inexact flag set in USER_FPSR
| ;if initial grs set
|
| normalize the rounded result and store value in fp0
|
bsr nrm_set |normalize the unnorm
| ;Input: a0 points to operand to
| ;be normalized
| ;Output: a0 points to normalized
| ;result
bfclr LOCAL_SGN(%a0){#0:#8}
beqs nrmrndp
bsetb #sign_bit,LOCAL_EX(%a0) |return to IEEE extended format
nrmrndp:
fmovel %fpcr,-(%sp)
fmovel #0,%fpcr
fmovex LOCAL_EX(%a0),%fp0 |move result to fp0
fmovel (%sp)+,%fpcr
rts
|end
|