modf.S revision 1.3 1 /* $NetBSD: modf.S,v 1.3 2000/11/01 23:32:41 eeh Exp $ */
2
3 /*
4 * Copyright (c) 1992, 1993
5 * The Regents of the University of California. All rights reserved.
6 *
7 * This software was developed by the Computer Systems Engineering group
8 * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
9 * contributed to Berkeley.
10 *
11 * Redistribution and use in source and binary forms, with or without
12 * modification, are permitted provided that the following conditions
13 * are met:
14 * 1. Redistributions of source code must retain the above copyright
15 * notice, this list of conditions and the following disclaimer.
16 * 2. Redistributions in binary form must reproduce the above copyright
17 * notice, this list of conditions and the following disclaimer in the
18 * documentation and/or other materials provided with the distribution.
19 * 3. All advertising materials mentioning features or use of this software
20 * must display the following acknowledgement:
21 * This product includes software developed by the University of
22 * California, Berkeley and its contributors.
23 * 4. Neither the name of the University nor the names of its contributors
24 * may be used to endorse or promote products derived from this software
25 * without specific prior written permission.
26 *
27 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
28 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
29 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
30 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
31 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
32 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
33 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
34 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
35 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
36 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
37 * SUCH DAMAGE.
38 *
39 * from: Header: modf.s,v 1.3 92/06/20 00:00:54 torek Exp
40 */
41
42 #include <machine/asm.h>
43 #if defined(LIBC_SCCS) && !defined(lint)
44 #if 0
45 .asciz "@(#)modf.s 8.1 (Berkeley) 6/4/93"
46 #else
47 RCSID("$NetBSD: modf.S,v 1.3 2000/11/01 23:32:41 eeh Exp $")
48 #endif
49 #endif /* LIBC_SCCS and not lint */
50
51 #include <machine/fsr.h>
52
53 /*
54 * double modf(double val, double *iptr)
55 *
56 * Returns the fractional part of `val', storing the integer part of
57 * `val' in *iptr. Both *iptr and the return value have the same sign
58 * as `val'.
59 *
60 * Method:
61 *
62 * We use the fpu's normalization hardware to compute the integer portion
63 * of the double precision argument. Sun IEEE double precision numbers
64 * have 52 bits of mantissa, 11 bits of exponent, and one bit of sign,
65 * with the sign occupying bit 31 of word 0, and the exponent bits 30:20
66 * of word 0. Thus, values >= 2^52 are by definition integers.
67 *
68 * If we take a value that is in the range [+0..2^52) and add 2^52, all
69 * of the fractional bits fall out and all of the integer bits are summed
70 * with 2^52. If we then subtract 2^52, we get those integer bits back.
71 * This must be done with rounding set to `towards 0' or `towards -inf'.
72 * `Toward -inf' fails when the value is 0 (we get -0 back)....
73 *
74 * Note that this method will work anywhere, but is machine dependent in
75 * various aspects.
76 *
77 * Stack usage:
78 * 4@[%fp + BIAS - 4] saved %fsr
79 * 4@[%fp + BIAS - 8] new %fsr with rounding set to `towards 0'
80 * 8@[%fp + BIAS - 16] space for moving between %i and %f registers
81 * Register usage:
82 * %f0:f1 double val;
83 * %l0 scratch
84 * %l1 sign bit (0x80000000)
85 * %i1 double *iptr;
86 * %f2:f3 `magic number' 2^52, in fpu registers
87 * %f4:f5 double v, in fpu registers
88 * %f6:f7 double temp.
89 */
90
91 .align 8
92 Lmagic:
93 .word 0x43300000 ! sign = 0, exponent = 52 + 1023, mantissa = 0
94 .word 0 ! (i.e., .double 0r4503599627370496e+00)
95
96 L0:
97 .word 0 ! 0.0
98 .word 0
99
100 ENTRY(modf)
101 save %sp, -CC64FSZ-16, %sp
102
103 /*
104 * First, compute v = abs(val)
105 */
106 fabsd %f0, %f4 ! %f4:f5 = v
107 fcmped %fcc1, %f0, %f4 ! %fcc1 = (val == abs(val))
108 #ifdef PIC
109 PICCY_SET(Lmagic, %l0, %o7)
110 ldd [%l0], %f2
111 #else
112 sethi %hi(Lmagic), %l0
113 ldd [%l0 + %lo(Lmagic)], %f2
114 #endif
115
116 /*
117 * Is %f4:f5 >= %f2:f3 ? If so, it is all integer bits.
118 * It is probably less, though.
119 */
120 fcmped %f4, %f2
121 fbuge Lbig ! if >= (or unordered), go out
122 nop
123
124 /*
125 * v < 2^52, so add 2^52, then subtract 2^52, but do it all
126 * with rounding set towards zero. We leave any enabled
127 * traps enabled, but change the rounding mode. This might
128 * not be so good. Oh well....
129 */
130 st %fsr, [%fp + BIAS - 4] ! %l5 = current FSR mode
131 set FSR_RD, %l3 ! %l3 = rounding direction mask
132 ld [%fp + BIAS - 4], %l5
133 set FSR_RD_RZ << FSR_RD_SHIFT, %l4
134 andn %l5, %l3, %l6
135 or %l6, %l4, %l6 ! round towards zero, please
136 and %l5, %l3, %l5 ! save original rounding mode
137 st %l6, [%fp + BIAS - 8]
138 ld [%fp + BIAS - 8], %fsr
139
140 faddd %f4, %f2, %f4 ! %f4:f5 += 2^52
141 fsubd %f4, %f2, %f4 ! %f4:f5 -= 2^52
142
143 /*
144 * Restore %fsr, but leave exceptions accrued.
145 */
146 st %fsr, [%fp + BIAS - 4]
147 ld [%fp + BIAS - 4], %l6
148 andn %l6, %l3, %l6 ! %l6 = %fsr & ~FSR_RD;
149 or %l5, %l6, %l5 ! %l5 |= %l6;
150 st %l5, [%fp + BIAS - 4]
151 ld [%fp + BIAS - 4], %fsr ! restore %fsr, leaving accrued stuff
152
153 /*
154 * Now insert the original sign in %f4:f5.
155 * %fcc1 should still have the reults of (val == abs(val))
156 * from above, so we use a conditional move on %fcc1 to:
157 *
158 * %f4 = (val == abs(val)) ? %f4 : -%f4
159 *
160 */
161 fnegd %f4, %f6
162 fmovdnz %fcc1, %f6, %f4
163 1:
164
165 /*
166 * The value in %f4:f5 is now the integer portion of the original
167 * argument. We need to store this in *ival (%i1), subtract it
168 * from the original value argument (%d0), and return the result.
169 */
170 std %f4, [%i1] ! *ival = %f4:f5;
171 fsubd %f0, %f4, %f0 ! %f0:f1 -= %f4:f5;
172 ret
173 restore
174
175 Lbig:
176 /*
177 * We get here if the original comparison of %f4:f5 (v) to
178 * %f2:f3 (2^52) came out `greater or unordered'. In this
179 * case the integer part is the original value, and the
180 * fractional part is 0.
181 */
182 #ifdef PIC
183 PICCY_SET(L0, %l0, %o7)
184 std %f0, [%i1] ! *ival = val;
185 ldd [%l0], %f0 ! return 0.0;
186 #else
187 sethi %hi(L0), %l0
188 std %f0, [%i1] ! *ival = val;
189 ldd [%l0 + %lo(L0)], %f0 ! return 0.0;
190 #endif
191 ret
192 restore
193
194