1 |
2 | sint.sa 3.1 12/10/90
3 |
4 | The entry point sINT computes the rounded integer
5 | equivalent of the input argument, sINTRZ computes
6 | the integer rounded to zero of the input argument.
7 |
8 | Entry points sint and sintrz are called from do_func
9 | to emulate the fint and fintrz unimplemented instructions,
10 | respectively. Entry point sintdo is used by bindec.
11 |
12 | Input: (Entry points sint and sintrz) Double-extended
13 | number X in the ETEMP space in the floating-point
14 | save stack.
15 | (Entry point sintdo) Double-extended number X in
16 | location pointed to by the address register a0.
17 | (Entry point sintd) Double-extended denormalized
18 | number X in the ETEMP space in the floating-point
19 | save stack.
20 |
21 | Output: The function returns int(X) or intrz(X) in fp0.
22 |
23 | Modifies: fp0.
24 |
25 | Algorithm: (sint and sintrz)
26 |
27 | 1. If exp(X) >= 63, return X.
28 | If exp(X) < 0, return +/- 0 or +/- 1, according to
29 | the rounding mode.
30 |
31 | 2. (X is in range) set rsc = 63 - exp(X). Unnormalize the
32 | result to the exponent $403e.
33 |
34 | 3. Round the result in the mode given in USER_FPCR. For
35 | sintrz, force round-to-zero mode.
36 |
37 | 4. Normalize the rounded result; store in fp0.
38 |
39 | For the denormalized cases, force the correct result
40 | for the given sign and rounding mode.
41 |
42 | Sign(X)
43 | RMODE + -
44 | ----- --------
45 | RN +0 -0
46 | RZ +0 -0
47 | RM +0 -1
48 | RP +1 -0
49 |
50 |
51 | Copyright (C) Motorola, Inc. 1990
52 | All Rights Reserved
53 |
54 | For details on the license for this file, please see the
55 | file, README, in this same directory.
56
57 |SINT idnt 2,1 | Motorola 040 Floating Point Software Package
58
59 |section 8
60
61 #include "fpsp.h"
62
63 |xref dnrm_lp
64 |xref nrm_set
65 |xref round
66 |xref t_inx2
67 |xref ld_pone
68 |xref ld_mone
69 |xref ld_pzero
70 |xref ld_mzero
71 |xref snzrinx
72
73 |
74 | FINT
75 |
76 .global sint
77 sint:
78 bfextu FPCR_MODE(%a6){#2:#2},%d1 |use user's mode for rounding
79 | ;implicitly has extend precision
80 | ;in upper word.
81 movel %d1,L_SCR1(%a6) |save mode bits
82 bras sintexc
83
84 |
85 | FINT with extended denorm inputs.
86 |
87 .global sintd
88 sintd:
89 btstb #5,FPCR_MODE(%a6)
90 beq snzrinx |if round nearest or round zero, +/- 0
91 btstb #4,FPCR_MODE(%a6)
92 beqs rnd_mns
93 rnd_pls:
94 btstb #sign_bit,LOCAL_EX(%a0)
95 bnes sintmz
96 bsr ld_pone |if round plus inf and pos, answer is +1
97 bra t_inx2
98 rnd_mns:
99 btstb #sign_bit,LOCAL_EX(%a0)
100 beqs sintpz
101 bsr ld_mone |if round mns inf and neg, answer is -1
102 bra t_inx2
103 sintpz:
104 bsr ld_pzero
105 bra t_inx2
106 sintmz:
107 bsr ld_mzero
108 bra t_inx2
109
110 |
111 | FINTRZ
112 |
113 .global sintrz
114 sintrz:
115 movel #1,L_SCR1(%a6) |use rz mode for rounding
116 | ;implicitly has extend precision
117 | ;in upper word.
118 bras sintexc
119 |
120 | SINTDO
121 |
122 | Input: a0 points to an IEEE extended format operand
123 | Output: fp0 has the result
124 |
125 | Exceptions:
126 |
127 | If the subroutine results in an inexact operation, the inx2 and
128 | ainx bits in the USER_FPSR are set.
129 |
130 |
131 .global sintdo
132 sintdo:
133 bfextu FPCR_MODE(%a6){#2:#2},%d1 |use user's mode for rounding
134 | ;implicitly has ext precision
135 | ;in upper word.
136 movel %d1,L_SCR1(%a6) |save mode bits
137 |
138 | Real work of sint is in sintexc
139 |
140 sintexc:
141 bclrb #sign_bit,LOCAL_EX(%a0) |convert to internal extended
142 | ;format
143 sne LOCAL_SGN(%a0)
144 cmpw #0x403e,LOCAL_EX(%a0) |check if (unbiased) exp > 63
145 bgts out_rnge |branch if exp < 63
146 cmpw #0x3ffd,LOCAL_EX(%a0) |check if (unbiased) exp < 0
147 bgt in_rnge |if 63 >= exp > 0, do calc
148 |
149 | Input is less than zero. Restore sign, and check for directed
150 | rounding modes. L_SCR1 contains the rmode in the lower byte.
151 |
152 un_rnge:
153 btstb #1,L_SCR1+3(%a6) |check for rn and rz
154 beqs un_rnrz
155 tstb LOCAL_SGN(%a0) |check for sign
156 bnes un_rmrp_neg
157 |
158 | Sign is +. If rp, load +1.0, if rm, load +0.0
159 |
160 cmpib #3,L_SCR1+3(%a6) |check for rp
161 beqs un_ldpone |if rp, load +1.0
162 bsr ld_pzero |if rm, load +0.0
163 bra t_inx2
164 un_ldpone:
165 bsr ld_pone
166 bra t_inx2
167 |
168 | Sign is -. If rm, load -1.0, if rp, load -0.0
169 |
170 un_rmrp_neg:
171 cmpib #2,L_SCR1+3(%a6) |check for rm
172 beqs un_ldmone |if rm, load -1.0
173 bsr ld_mzero |if rp, load -0.0
174 bra t_inx2
175 un_ldmone:
176 bsr ld_mone
177 bra t_inx2
178 |
179 | Rmode is rn or rz; return signed zero
180 |
181 un_rnrz:
182 tstb LOCAL_SGN(%a0) |check for sign
183 bnes un_rnrz_neg
184 bsr ld_pzero
185 bra t_inx2
186 un_rnrz_neg:
187 bsr ld_mzero
188 bra t_inx2
189
190 |
191 | Input is greater than 2^63. All bits are significant. Return
192 | the input.
193 |
194 out_rnge:
195 bfclr LOCAL_SGN(%a0){#0:#8} |change back to IEEE ext format
196 beqs intps
197 bsetb #sign_bit,LOCAL_EX(%a0)
198 intps:
199 fmovel %fpcr,-(%sp)
200 fmovel #0,%fpcr
201 fmovex LOCAL_EX(%a0),%fp0 |if exp > 63
202 | ;then return X to the user
203 | ;there are no fraction bits
204 fmovel (%sp)+,%fpcr
205 rts
206
207 in_rnge:
208 | ;shift off fraction bits
209 clrl %d0 |clear d0 - initial g,r,s for
210 | ;dnrm_lp
211 movel #0x403e,%d1 |set threshold for dnrm_lp
212 | ;assumes a0 points to operand
213 bsr dnrm_lp
214 | ;returns unnormalized number
215 | ;pointed by a0
216 | ;output d0 supplies g,r,s
217 | ;used by round
218 movel L_SCR1(%a6),%d1 |use selected rounding mode
219 |
220 |
221 bsr round |round the unnorm based on users
222 | ;input a0 ptr to ext X
223 | ; d0 g,r,s bits
224 | ; d1 PREC/MODE info
225 | ;output a0 ptr to rounded result
226 | ;inexact flag set in USER_FPSR
227 | ;if initial grs set
228 |
229 | normalize the rounded result and store value in fp0
230 |
231 bsr nrm_set |normalize the unnorm
232 | ;Input: a0 points to operand to
233 | ;be normalized
234 | ;Output: a0 points to normalized
235 | ;result
236 bfclr LOCAL_SGN(%a0){#0:#8}
237 beqs nrmrndp
238 bsetb #sign_bit,LOCAL_EX(%a0) |return to IEEE extended format
239 nrmrndp:
240 fmovel %fpcr,-(%sp)
241 fmovel #0,%fpcr
242 fmovex LOCAL_EX(%a0),%fp0 |move result to fp0
243 fmovel (%sp)+,%fpcr
244 rts
245
246 |end