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1 /*******************************************************************************
2  *
3  * Module Name: utmath - Integer math support routines
4  *
5  ******************************************************************************/
6 
7 /*
8  * Copyright (C) 2000 - 2013, Intel Corp.
9  * All rights reserved.
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  *    without modification.
17  * 2. Redistributions in binary form must reproduce at minimum a disclaimer
18  *    substantially similar to the "NO WARRANTY" disclaimer below
19  *    ("Disclaimer") and any redistribution must be conditioned upon
20  *    including a substantially similar Disclaimer requirement for further
21  *    binary redistribution.
22  * 3. Neither the names of the above-listed copyright holders nor the names
23  *    of any contributors may be used to endorse or promote products derived
24  *    from this software without specific prior written permission.
25  *
26  * Alternatively, this software may be distributed under the terms of the
27  * GNU General Public License ("GPL") version 2 as published by the Free
28  * Software Foundation.
29  *
30  * NO WARRANTY
31  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
32  * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
33  * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR
34  * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
35  * HOLDERS OR CONTRIBUTORS BE LIABLE FOR SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
36  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
37  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
38  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
39  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING
40  * IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
41  * POSSIBILITY OF SUCH DAMAGES.
42  */
43 
44 #include <acpi/acpi.h>
45 #include "accommon.h"
46 
47 #define _COMPONENT          ACPI_UTILITIES
48 ACPI_MODULE_NAME("utmath")
49 
50 /*
51  * Optional support for 64-bit double-precision integer divide. This code
52  * is configurable and is implemented in order to support 32-bit kernel
53  * environments where a 64-bit double-precision math library is not available.
54  *
55  * Support for a more normal 64-bit divide/modulo (with check for a divide-
56  * by-zero) appears after this optional section of code.
57  */
58 #ifndef ACPI_USE_NATIVE_DIVIDE
59 /* Structures used only for 64-bit divide */
60 typedef struct uint64_struct {
61 	u32 lo;
62 	u32 hi;
63 
64 } uint64_struct;
65 
66 typedef union uint64_overlay {
67 	u64 full;
68 	struct uint64_struct part;
69 
70 } uint64_overlay;
71 
72 /*******************************************************************************
73  *
74  * FUNCTION:    acpi_ut_short_divide
75  *
76  * PARAMETERS:  dividend            - 64-bit dividend
77  *              divisor             - 32-bit divisor
78  *              out_quotient        - Pointer to where the quotient is returned
79  *              out_remainder       - Pointer to where the remainder is returned
80  *
81  * RETURN:      Status (Checks for divide-by-zero)
82  *
83  * DESCRIPTION: Perform a short (maximum 64 bits divided by 32 bits)
84  *              divide and modulo. The result is a 64-bit quotient and a
85  *              32-bit remainder.
86  *
87  ******************************************************************************/
88 
89 acpi_status
acpi_ut_short_divide(u64 dividend,u32 divisor,u64 * out_quotient,u32 * out_remainder)90 acpi_ut_short_divide(u64 dividend,
91 		     u32 divisor, u64 *out_quotient, u32 *out_remainder)
92 {
93 	union uint64_overlay dividend_ovl;
94 	union uint64_overlay quotient;
95 	u32 remainder32;
96 
97 	ACPI_FUNCTION_TRACE(ut_short_divide);
98 
99 	/* Always check for a zero divisor */
100 
101 	if (divisor == 0) {
102 		ACPI_ERROR((AE_INFO, "Divide by zero"));
103 		return_ACPI_STATUS(AE_AML_DIVIDE_BY_ZERO);
104 	}
105 
106 	dividend_ovl.full = dividend;
107 
108 	/*
109 	 * The quotient is 64 bits, the remainder is always 32 bits,
110 	 * and is generated by the second divide.
111 	 */
112 	ACPI_DIV_64_BY_32(0, dividend_ovl.part.hi, divisor,
113 			  quotient.part.hi, remainder32);
114 	ACPI_DIV_64_BY_32(remainder32, dividend_ovl.part.lo, divisor,
115 			  quotient.part.lo, remainder32);
116 
117 	/* Return only what was requested */
118 
119 	if (out_quotient) {
120 		*out_quotient = quotient.full;
121 	}
122 	if (out_remainder) {
123 		*out_remainder = remainder32;
124 	}
125 
126 	return_ACPI_STATUS(AE_OK);
127 }
128 
129 /*******************************************************************************
130  *
131  * FUNCTION:    acpi_ut_divide
132  *
133  * PARAMETERS:  in_dividend         - Dividend
134  *              in_divisor          - Divisor
135  *              out_quotient        - Pointer to where the quotient is returned
136  *              out_remainder       - Pointer to where the remainder is returned
137  *
138  * RETURN:      Status (Checks for divide-by-zero)
139  *
140  * DESCRIPTION: Perform a divide and modulo.
141  *
142  ******************************************************************************/
143 
144 acpi_status
acpi_ut_divide(u64 in_dividend,u64 in_divisor,u64 * out_quotient,u64 * out_remainder)145 acpi_ut_divide(u64 in_dividend,
146 	       u64 in_divisor, u64 *out_quotient, u64 *out_remainder)
147 {
148 	union uint64_overlay dividend;
149 	union uint64_overlay divisor;
150 	union uint64_overlay quotient;
151 	union uint64_overlay remainder;
152 	union uint64_overlay normalized_dividend;
153 	union uint64_overlay normalized_divisor;
154 	u32 partial1;
155 	union uint64_overlay partial2;
156 	union uint64_overlay partial3;
157 
158 	ACPI_FUNCTION_TRACE(ut_divide);
159 
160 	/* Always check for a zero divisor */
161 
162 	if (in_divisor == 0) {
163 		ACPI_ERROR((AE_INFO, "Divide by zero"));
164 		return_ACPI_STATUS(AE_AML_DIVIDE_BY_ZERO);
165 	}
166 
167 	divisor.full = in_divisor;
168 	dividend.full = in_dividend;
169 	if (divisor.part.hi == 0) {
170 		/*
171 		 * 1) Simplest case is where the divisor is 32 bits, we can
172 		 * just do two divides
173 		 */
174 		remainder.part.hi = 0;
175 
176 		/*
177 		 * The quotient is 64 bits, the remainder is always 32 bits,
178 		 * and is generated by the second divide.
179 		 */
180 		ACPI_DIV_64_BY_32(0, dividend.part.hi, divisor.part.lo,
181 				  quotient.part.hi, partial1);
182 		ACPI_DIV_64_BY_32(partial1, dividend.part.lo, divisor.part.lo,
183 				  quotient.part.lo, remainder.part.lo);
184 	}
185 
186 	else {
187 		/*
188 		 * 2) The general case where the divisor is a full 64 bits
189 		 * is more difficult
190 		 */
191 		quotient.part.hi = 0;
192 		normalized_dividend = dividend;
193 		normalized_divisor = divisor;
194 
195 		/* Normalize the operands (shift until the divisor is < 32 bits) */
196 
197 		do {
198 			ACPI_SHIFT_RIGHT_64(normalized_divisor.part.hi,
199 					    normalized_divisor.part.lo);
200 			ACPI_SHIFT_RIGHT_64(normalized_dividend.part.hi,
201 					    normalized_dividend.part.lo);
202 
203 		} while (normalized_divisor.part.hi != 0);
204 
205 		/* Partial divide */
206 
207 		ACPI_DIV_64_BY_32(normalized_dividend.part.hi,
208 				  normalized_dividend.part.lo,
209 				  normalized_divisor.part.lo,
210 				  quotient.part.lo, partial1);
211 
212 		/*
213 		 * The quotient is always 32 bits, and simply requires adjustment.
214 		 * The 64-bit remainder must be generated.
215 		 */
216 		partial1 = quotient.part.lo * divisor.part.hi;
217 		partial2.full = (u64) quotient.part.lo * divisor.part.lo;
218 		partial3.full = (u64) partial2.part.hi + partial1;
219 
220 		remainder.part.hi = partial3.part.lo;
221 		remainder.part.lo = partial2.part.lo;
222 
223 		if (partial3.part.hi == 0) {
224 			if (partial3.part.lo >= dividend.part.hi) {
225 				if (partial3.part.lo == dividend.part.hi) {
226 					if (partial2.part.lo > dividend.part.lo) {
227 						quotient.part.lo--;
228 						remainder.full -= divisor.full;
229 					}
230 				} else {
231 					quotient.part.lo--;
232 					remainder.full -= divisor.full;
233 				}
234 			}
235 
236 			remainder.full = remainder.full - dividend.full;
237 			remainder.part.hi = (u32) - ((s32) remainder.part.hi);
238 			remainder.part.lo = (u32) - ((s32) remainder.part.lo);
239 
240 			if (remainder.part.lo) {
241 				remainder.part.hi--;
242 			}
243 		}
244 	}
245 
246 	/* Return only what was requested */
247 
248 	if (out_quotient) {
249 		*out_quotient = quotient.full;
250 	}
251 	if (out_remainder) {
252 		*out_remainder = remainder.full;
253 	}
254 
255 	return_ACPI_STATUS(AE_OK);
256 }
257 
258 #else
259 /*******************************************************************************
260  *
261  * FUNCTION:    acpi_ut_short_divide, acpi_ut_divide
262  *
263  * PARAMETERS:  See function headers above
264  *
265  * DESCRIPTION: Native versions of the ut_divide functions. Use these if either
266  *              1) The target is a 64-bit platform and therefore 64-bit
267  *                 integer math is supported directly by the machine.
268  *              2) The target is a 32-bit or 16-bit platform, and the
269  *                 double-precision integer math library is available to
270  *                 perform the divide.
271  *
272  ******************************************************************************/
273 acpi_status
274 acpi_ut_short_divide(u64 in_dividend,
275 		     u32 divisor, u64 *out_quotient, u32 *out_remainder)
276 {
277 
278 	ACPI_FUNCTION_TRACE(ut_short_divide);
279 
280 	/* Always check for a zero divisor */
281 
282 	if (divisor == 0) {
283 		ACPI_ERROR((AE_INFO, "Divide by zero"));
284 		return_ACPI_STATUS(AE_AML_DIVIDE_BY_ZERO);
285 	}
286 
287 	/* Return only what was requested */
288 
289 	if (out_quotient) {
290 		*out_quotient = in_dividend / divisor;
291 	}
292 	if (out_remainder) {
293 		*out_remainder = (u32) (in_dividend % divisor);
294 	}
295 
296 	return_ACPI_STATUS(AE_OK);
297 }
298 
299 acpi_status
300 acpi_ut_divide(u64 in_dividend,
301 	       u64 in_divisor, u64 *out_quotient, u64 *out_remainder)
302 {
303 	ACPI_FUNCTION_TRACE(ut_divide);
304 
305 	/* Always check for a zero divisor */
306 
307 	if (in_divisor == 0) {
308 		ACPI_ERROR((AE_INFO, "Divide by zero"));
309 		return_ACPI_STATUS(AE_AML_DIVIDE_BY_ZERO);
310 	}
311 
312 	/* Return only what was requested */
313 
314 	if (out_quotient) {
315 		*out_quotient = in_dividend / in_divisor;
316 	}
317 	if (out_remainder) {
318 		*out_remainder = in_dividend % in_divisor;
319 	}
320 
321 	return_ACPI_STATUS(AE_OK);
322 }
323 
324 #endif
325