1 /* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
2 /* ***** BEGIN LICENSE BLOCK *****
3  * Version: MPL 1.1/GPL 2.0/LGPL 2.1
4  *
5  * The contents of this file are subject to the Mozilla Public License Version
6  * 1.1 (the "License"); you may not use this file except in compliance with
7  * the License. You may obtain a copy of the License at
8  * http://www.mozilla.org/MPL/
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10  * Software distributed under the License is distributed on an "AS IS" basis,
11  * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
12  * for the specific language governing rights and limitations under the
13  * License.
14  *
15  * The Original Code is Mozilla Communicator client code, released
16  * March 31, 1998.
17  *
18  * The Initial Developer of the Original Code is
19  * Netscape Communications Corporation.
20  * Portions created by the Initial Developer are Copyright (C) 1998
21  * the Initial Developer. All Rights Reserved.
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23  * Contributor(s):
24  *
25  * Alternatively, the contents of this file may be used under the terms of
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28  * in which case the provisions of the GPL or the LGPL are applicable instead
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36  *
37  * ***** END LICENSE BLOCK ***** */
38 
39 #include "jsstddef.h"
40 #include "jstypes.h"
41 #include "jslong.h"
42 
43 static JSInt64 ll_zero = JSLL_INIT( 0x00000000,0x00000000 );
44 static JSInt64 ll_maxint = JSLL_INIT( 0x7fffffff, 0xffffffff );
45 static JSInt64 ll_minint = JSLL_INIT( 0x80000000, 0x00000000 );
46 
47 #ifdef HAVE_WATCOM_BUG_2
48 JSInt64 __pascal __loadds __export
JSLL_Zero(void)49     JSLL_Zero(void) { return ll_zero; }
50 JSInt64 __pascal __loadds __export
JSLL_MaxInt(void)51     JSLL_MaxInt(void) { return ll_maxint; }
52 JSInt64 __pascal __loadds __export
JSLL_MinInt(void)53     JSLL_MinInt(void) { return ll_minint; }
54 #else
JSLL_Zero(void)55 JS_PUBLIC_API(JSInt64) JSLL_Zero(void) { return ll_zero; }
JSLL_MaxInt(void)56 JS_PUBLIC_API(JSInt64) JSLL_MaxInt(void) { return ll_maxint; }
JSLL_MinInt(void)57 JS_PUBLIC_API(JSInt64) JSLL_MinInt(void) { return ll_minint; }
58 #endif
59 
60 #ifndef JS_HAVE_LONG_LONG
61 /*
62 ** Divide 64-bit a by 32-bit b, which must be normalized so its high bit is 1.
63 */
norm_udivmod32(JSUint32 * qp,JSUint32 * rp,JSUint64 a,JSUint32 b)64 static void norm_udivmod32(JSUint32 *qp, JSUint32 *rp, JSUint64 a, JSUint32 b)
65 {
66     JSUint32 d1, d0, q1, q0;
67     JSUint32 r1, r0, m;
68 
69     d1 = jshi16(b);
70     d0 = jslo16(b);
71     r1 = a.hi % d1;
72     q1 = a.hi / d1;
73     m = q1 * d0;
74     r1 = (r1 << 16) | jshi16(a.lo);
75     if (r1 < m) {
76         q1--, r1 += b;
77         if (r1 >= b	/* i.e., we didn't get a carry when adding to r1 */
78 	    && r1 < m) {
79 	    q1--, r1 += b;
80 	}
81     }
82     r1 -= m;
83     r0 = r1 % d1;
84     q0 = r1 / d1;
85     m = q0 * d0;
86     r0 = (r0 << 16) | jslo16(a.lo);
87     if (r0 < m) {
88         q0--, r0 += b;
89         if (r0 >= b
90 	    && r0 < m) {
91 	    q0--, r0 += b;
92 	}
93     }
94     *qp = (q1 << 16) | q0;
95     *rp = r0 - m;
96 }
97 
CountLeadingZeros(JSUint32 a)98 static JSUint32 CountLeadingZeros(JSUint32 a)
99 {
100     JSUint32 t;
101     JSUint32 r = 32;
102 
103     if ((t = a >> 16) != 0)
104 	r -= 16, a = t;
105     if ((t = a >> 8) != 0)
106 	r -= 8, a = t;
107     if ((t = a >> 4) != 0)
108 	r -= 4, a = t;
109     if ((t = a >> 2) != 0)
110 	r -= 2, a = t;
111     if ((t = a >> 1) != 0)
112 	r -= 1, a = t;
113     if (a & 1)
114 	r--;
115     return r;
116 }
117 
jsll_udivmod(JSUint64 * qp,JSUint64 * rp,JSUint64 a,JSUint64 b)118 JS_PUBLIC_API(void) jsll_udivmod(JSUint64 *qp, JSUint64 *rp, JSUint64 a, JSUint64 b)
119 {
120     JSUint32 n0, n1, n2;
121     JSUint32 q0, q1;
122     JSUint32 rsh, lsh;
123 
124     n0 = a.lo;
125     n1 = a.hi;
126 
127     if (b.hi == 0) {
128 	if (b.lo > n1) {
129 	    /* (0 q0) = (n1 n0) / (0 D0) */
130 
131 	    lsh = CountLeadingZeros(b.lo);
132 
133 	    if (lsh) {
134 		/*
135 		 * Normalize, i.e. make the most significant bit of the
136 		 * denominator be set.
137 		 */
138 		b.lo = b.lo << lsh;
139 		n1 = (n1 << lsh) | (n0 >> (32 - lsh));
140 		n0 = n0 << lsh;
141 	    }
142 
143 	    a.lo = n0, a.hi = n1;
144 	    norm_udivmod32(&q0, &n0, a, b.lo);
145 	    q1 = 0;
146 
147 	    /* remainder is in n0 >> lsh */
148 	} else {
149 	    /* (q1 q0) = (n1 n0) / (0 d0) */
150 
151 	    if (b.lo == 0)		/* user wants to divide by zero! */
152 		b.lo = 1 / b.lo;	/* so go ahead and crash */
153 
154 	    lsh = CountLeadingZeros(b.lo);
155 
156 	    if (lsh == 0) {
157 		/*
158 		 * From (n1 >= b.lo)
159 		 *   && (the most significant bit of b.lo is set),
160 		 * conclude that
161 		 *	(the most significant bit of n1 is set)
162 		 *   && (the leading quotient digit q1 = 1).
163 		 *
164 		 * This special case is necessary, not an optimization
165 		 * (Shifts counts of 32 are undefined).
166 		 */
167 		n1 -= b.lo;
168 		q1 = 1;
169 	    } else {
170 		/*
171 		 * Normalize.
172 		 */
173 		rsh = 32 - lsh;
174 
175 		b.lo = b.lo << lsh;
176 		n2 = n1 >> rsh;
177 		n1 = (n1 << lsh) | (n0 >> rsh);
178 		n0 = n0 << lsh;
179 
180 		a.lo = n1, a.hi = n2;
181 		norm_udivmod32(&q1, &n1, a, b.lo);
182 	    }
183 
184 	    /* n1 != b.lo... */
185 
186 	    a.lo = n0, a.hi = n1;
187 	    norm_udivmod32(&q0, &n0, a, b.lo);
188 
189 	    /* remainder in n0 >> lsh */
190 	}
191 
192 	if (rp) {
193 	    rp->lo = n0 >> lsh;
194 	    rp->hi = 0;
195 	}
196     } else {
197 	if (b.hi > n1) {
198 	    /* (0 0) = (n1 n0) / (D1 d0) */
199 
200 	    q0 = 0;
201 	    q1 = 0;
202 
203 	    /* remainder in (n1 n0) */
204 	    if (rp) {
205 		rp->lo = n0;
206 		rp->hi = n1;
207 	    }
208 	} else {
209 	    /* (0 q0) = (n1 n0) / (d1 d0) */
210 
211 	    lsh = CountLeadingZeros(b.hi);
212 	    if (lsh == 0) {
213 		/*
214 		 * From (n1 >= b.hi)
215 		 *   && (the most significant bit of b.hi is set),
216 		 * conclude that
217 		 *      (the most significant bit of n1 is set)
218 		 *   && (the quotient digit q0 = 0 or 1).
219 		 *
220 		 * This special case is necessary, not an optimization.
221 		 */
222 
223 		/*
224 		 * The condition on the next line takes advantage of that
225 		 * n1 >= b.hi (true due to control flow).
226 		 */
227 		if (n1 > b.hi || n0 >= b.lo) {
228 		    q0 = 1;
229 		    a.lo = n0, a.hi = n1;
230 		    JSLL_SUB(a, a, b);
231 		} else {
232 		    q0 = 0;
233 		}
234 		q1 = 0;
235 
236 		if (rp) {
237 		    rp->lo = n0;
238 		    rp->hi = n1;
239 		}
240 	    } else {
241 		JSInt64 m;
242 
243 		/*
244 		 * Normalize.
245 		 */
246 		rsh = 32 - lsh;
247 
248 		b.hi = (b.hi << lsh) | (b.lo >> rsh);
249 		b.lo = b.lo << lsh;
250 		n2 = n1 >> rsh;
251 		n1 = (n1 << lsh) | (n0 >> rsh);
252 		n0 = n0 << lsh;
253 
254 		a.lo = n1, a.hi = n2;
255 		norm_udivmod32(&q0, &n1, a, b.hi);
256 		JSLL_MUL32(m, q0, b.lo);
257 
258 		if ((m.hi > n1) || ((m.hi == n1) && (m.lo > n0))) {
259 		    q0--;
260 		    JSLL_SUB(m, m, b);
261 		}
262 
263 		q1 = 0;
264 
265 		/* Remainder is ((n1 n0) - (m1 m0)) >> lsh */
266 		if (rp) {
267 		    a.lo = n0, a.hi = n1;
268 		    JSLL_SUB(a, a, m);
269 		    rp->lo = (a.hi << rsh) | (a.lo >> lsh);
270 		    rp->hi = a.hi >> lsh;
271 		}
272 	    }
273 	}
274     }
275 
276     if (qp) {
277 	qp->lo = q0;
278 	qp->hi = q1;
279     }
280 }
281 #endif /* !JS_HAVE_LONG_LONG */
282