1 /*******************************************************************************
2  *
3  * Module Name: utmath - Integer math support routines
4  *
5  ******************************************************************************/
6 
7 /******************************************************************************
8  *
9  * 1. Copyright Notice
10  *
11  * Some or all of this work - Copyright (c) 1999 - 2017, Intel Corp.
12  * All rights reserved.
13  *
14  * 2. License
15  *
16  * 2.1. This is your license from Intel Corp. under its intellectual property
17  * rights. You may have additional license terms from the party that provided
18  * you this software, covering your right to use that party's intellectual
19  * property rights.
20  *
21  * 2.2. Intel grants, free of charge, to any person ("Licensee") obtaining a
22  * copy of the source code appearing in this file ("Covered Code") an
23  * irrevocable, perpetual, worldwide license under Intel's copyrights in the
24  * base code distributed originally by Intel ("Original Intel Code") to copy,
25  * make derivatives, distribute, use and display any portion of the Covered
26  * Code in any form, with the right to sublicense such rights; and
27  *
28  * 2.3. Intel grants Licensee a non-exclusive and non-transferable patent
29  * license (with the right to sublicense), under only those claims of Intel
30  * patents that are infringed by the Original Intel Code, to make, use, sell,
31  * offer to sell, and import the Covered Code and derivative works thereof
32  * solely to the minimum extent necessary to exercise the above copyright
33  * license, and in no event shall the patent license extend to any additions
34  * to or modifications of the Original Intel Code. No other license or right
35  * is granted directly or by implication, estoppel or otherwise;
36  *
37  * The above copyright and patent license is granted only if the following
38  * conditions are met:
39  *
40  * 3. Conditions
41  *
42  * 3.1. Redistribution of Source with Rights to Further Distribute Source.
43  * Redistribution of source code of any substantial portion of the Covered
44  * Code or modification with rights to further distribute source must include
45  * the above Copyright Notice, the above License, this list of Conditions,
46  * and the following Disclaimer and Export Compliance provision. In addition,
47  * Licensee must cause all Covered Code to which Licensee contributes to
48  * contain a file documenting the changes Licensee made to create that Covered
49  * Code and the date of any change. Licensee must include in that file the
50  * documentation of any changes made by any predecessor Licensee. Licensee
51  * must include a prominent statement that the modification is derived,
52  * directly or indirectly, from Original Intel Code.
53  *
54  * 3.2. Redistribution of Source with no Rights to Further Distribute Source.
55  * Redistribution of source code of any substantial portion of the Covered
56  * Code or modification without rights to further distribute source must
57  * include the following Disclaimer and Export Compliance provision in the
58  * documentation and/or other materials provided with distribution. In
59  * addition, Licensee may not authorize further sublicense of source of any
60  * portion of the Covered Code, and must include terms to the effect that the
61  * license from Licensee to its licensee is limited to the intellectual
62  * property embodied in the software Licensee provides to its licensee, and
63  * not to intellectual property embodied in modifications its licensee may
64  * make.
65  *
66  * 3.3. Redistribution of Executable. Redistribution in executable form of any
67  * substantial portion of the Covered Code or modification must reproduce the
68  * above Copyright Notice, and the following Disclaimer and Export Compliance
69  * provision in the documentation and/or other materials provided with the
70  * distribution.
71  *
72  * 3.4. Intel retains all right, title, and interest in and to the Original
73  * Intel Code.
74  *
75  * 3.5. Neither the name Intel nor any other trademark owned or controlled by
76  * Intel shall be used in advertising or otherwise to promote the sale, use or
77  * other dealings in products derived from or relating to the Covered Code
78  * without prior written authorization from Intel.
79  *
80  * 4. Disclaimer and Export Compliance
81  *
82  * 4.1. INTEL MAKES NO WARRANTY OF ANY KIND REGARDING ANY SOFTWARE PROVIDED
83  * HERE. ANY SOFTWARE ORIGINATING FROM INTEL OR DERIVED FROM INTEL SOFTWARE
84  * IS PROVIDED "AS IS," AND INTEL WILL NOT PROVIDE ANY SUPPORT, ASSISTANCE,
85  * INSTALLATION, TRAINING OR OTHER SERVICES. INTEL WILL NOT PROVIDE ANY
86  * UPDATES, ENHANCEMENTS OR EXTENSIONS. INTEL SPECIFICALLY DISCLAIMS ANY
87  * IMPLIED WARRANTIES OF MERCHANTABILITY, NONINFRINGEMENT AND FITNESS FOR A
88  * PARTICULAR PURPOSE.
89  *
90  * 4.2. IN NO EVENT SHALL INTEL HAVE ANY LIABILITY TO LICENSEE, ITS LICENSEES
91  * OR ANY OTHER THIRD PARTY, FOR ANY LOST PROFITS, LOST DATA, LOSS OF USE OR
92  * COSTS OF PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES, OR FOR ANY INDIRECT,
93  * SPECIAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THIS AGREEMENT, UNDER ANY
94  * CAUSE OF ACTION OR THEORY OF LIABILITY, AND IRRESPECTIVE OF WHETHER INTEL
95  * HAS ADVANCE NOTICE OF THE POSSIBILITY OF SUCH DAMAGES. THESE LIMITATIONS
96  * SHALL APPLY NOTWITHSTANDING THE FAILURE OF THE ESSENTIAL PURPOSE OF ANY
97  * LIMITED REMEDY.
98  *
99  * 4.3. Licensee shall not export, either directly or indirectly, any of this
100  * software or system incorporating such software without first obtaining any
101  * required license or other approval from the U. S. Department of Commerce or
102  * any other agency or department of the United States Government. In the
103  * event Licensee exports any such software from the United States or
104  * re-exports any such software from a foreign destination, Licensee shall
105  * ensure that the distribution and export/re-export of the software is in
106  * compliance with all laws, regulations, orders, or other restrictions of the
107  * U.S. Export Administration Regulations. Licensee agrees that neither it nor
108  * any of its subsidiaries will export/re-export any technical data, process,
109  * software, or service, directly or indirectly, to any country for which the
110  * United States government or any agency thereof requires an export license,
111  * other governmental approval, or letter of assurance, without first obtaining
112  * such license, approval or letter.
113  *
114  *****************************************************************************
115  *
116  * Alternatively, you may choose to be licensed under the terms of the
117  * following license:
118  *
119  * Redistribution and use in source and binary forms, with or without
120  * modification, are permitted provided that the following conditions
121  * are met:
122  * 1. Redistributions of source code must retain the above copyright
123  *    notice, this list of conditions, and the following disclaimer,
124  *    without modification.
125  * 2. Redistributions in binary form must reproduce at minimum a disclaimer
126  *    substantially similar to the "NO WARRANTY" disclaimer below
127  *    ("Disclaimer") and any redistribution must be conditioned upon
128  *    including a substantially similar Disclaimer requirement for further
129  *    binary redistribution.
130  * 3. Neither the names of the above-listed copyright holders nor the names
131  *    of any contributors may be used to endorse or promote products derived
132  *    from this software without specific prior written permission.
133  *
134  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
135  * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
136  * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
137  * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
138  * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
139  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
140  * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
141  * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
142  * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
143  * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
144  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
145  *
146  * Alternatively, you may choose to be licensed under the terms of the
147  * GNU General Public License ("GPL") version 2 as published by the Free
148  * Software Foundation.
149  *
150  *****************************************************************************/
151 
152 #include "acpi.h"
153 #include "accommon.h"
154 
155 
156 #define _COMPONENT          ACPI_UTILITIES
157         ACPI_MODULE_NAME    ("utmath")
158 
159 /*
160  * Optional support for 64-bit double-precision integer divide. This code
161  * is configurable and is implemented in order to support 32-bit kernel
162  * environments where a 64-bit double-precision math library is not available.
163  *
164  * Support for a more normal 64-bit divide/modulo (with check for a divide-
165  * by-zero) appears after this optional section of code.
166  */
167 #ifndef ACPI_USE_NATIVE_DIVIDE
168 
169 /* Structures used only for 64-bit divide */
170 
171 typedef struct uint64_struct
172 {
173     UINT32                          Lo;
174     UINT32                          Hi;
175 
176 } UINT64_STRUCT;
177 
178 typedef union uint64_overlay
179 {
180     UINT64                          Full;
181     UINT64_STRUCT                   Part;
182 
183 } UINT64_OVERLAY;
184 
185 
186 /*******************************************************************************
187  *
188  * FUNCTION:    AcpiUtShortDivide
189  *
190  * PARAMETERS:  Dividend            - 64-bit dividend
191  *              Divisor             - 32-bit divisor
192  *              OutQuotient         - Pointer to where the quotient is returned
193  *              OutRemainder        - Pointer to where the remainder is returned
194  *
195  * RETURN:      Status (Checks for divide-by-zero)
196  *
197  * DESCRIPTION: Perform a short (maximum 64 bits divided by 32 bits)
198  *              divide and modulo. The result is a 64-bit quotient and a
199  *              32-bit remainder.
200  *
201  ******************************************************************************/
202 
203 ACPI_STATUS
204 AcpiUtShortDivide (
205     UINT64                  Dividend,
206     UINT32                  Divisor,
207     UINT64                  *OutQuotient,
208     UINT32                  *OutRemainder)
209 {
210     UINT64_OVERLAY          DividendOvl;
211     UINT64_OVERLAY          Quotient;
212     UINT32                  Remainder32;
213 
214 
215     ACPI_FUNCTION_TRACE (UtShortDivide);
216 
217 
218     /* Always check for a zero divisor */
219 
220     if (Divisor == 0)
221     {
222         ACPI_ERROR ((AE_INFO, "Divide by zero"));
223         return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO);
224     }
225 
226     DividendOvl.Full = Dividend;
227 
228     /*
229      * The quotient is 64 bits, the remainder is always 32 bits,
230      * and is generated by the second divide.
231      */
232     ACPI_DIV_64_BY_32 (0, DividendOvl.Part.Hi, Divisor,
233         Quotient.Part.Hi, Remainder32);
234 
235     ACPI_DIV_64_BY_32 (Remainder32, DividendOvl.Part.Lo, Divisor,
236         Quotient.Part.Lo, Remainder32);
237 
238     /* Return only what was requested */
239 
240     if (OutQuotient)
241     {
242         *OutQuotient = Quotient.Full;
243     }
244     if (OutRemainder)
245     {
246         *OutRemainder = Remainder32;
247     }
248 
249     return_ACPI_STATUS (AE_OK);
250 }
251 
252 
253 /*******************************************************************************
254  *
255  * FUNCTION:    AcpiUtDivide
256  *
257  * PARAMETERS:  InDividend          - Dividend
258  *              InDivisor           - Divisor
259  *              OutQuotient         - Pointer to where the quotient is returned
260  *              OutRemainder        - Pointer to where the remainder is returned
261  *
262  * RETURN:      Status (Checks for divide-by-zero)
263  *
264  * DESCRIPTION: Perform a divide and modulo.
265  *
266  ******************************************************************************/
267 
268 ACPI_STATUS
269 AcpiUtDivide (
270     UINT64                  InDividend,
271     UINT64                  InDivisor,
272     UINT64                  *OutQuotient,
273     UINT64                  *OutRemainder)
274 {
275     UINT64_OVERLAY          Dividend;
276     UINT64_OVERLAY          Divisor;
277     UINT64_OVERLAY          Quotient;
278     UINT64_OVERLAY          Remainder;
279     UINT64_OVERLAY          NormalizedDividend;
280     UINT64_OVERLAY          NormalizedDivisor;
281     UINT32                  Partial1;
282     UINT64_OVERLAY          Partial2;
283     UINT64_OVERLAY          Partial3;
284 
285 
286     ACPI_FUNCTION_TRACE (UtDivide);
287 
288 
289     /* Always check for a zero divisor */
290 
291     if (InDivisor == 0)
292     {
293         ACPI_ERROR ((AE_INFO, "Divide by zero"));
294         return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO);
295     }
296 
297     Divisor.Full  = InDivisor;
298     Dividend.Full = InDividend;
299     if (Divisor.Part.Hi == 0)
300     {
301         /*
302          * 1) Simplest case is where the divisor is 32 bits, we can
303          * just do two divides
304          */
305         Remainder.Part.Hi = 0;
306 
307         /*
308          * The quotient is 64 bits, the remainder is always 32 bits,
309          * and is generated by the second divide.
310          */
311         ACPI_DIV_64_BY_32 (0, Dividend.Part.Hi, Divisor.Part.Lo,
312             Quotient.Part.Hi, Partial1);
313 
314         ACPI_DIV_64_BY_32 (Partial1, Dividend.Part.Lo, Divisor.Part.Lo,
315             Quotient.Part.Lo, Remainder.Part.Lo);
316     }
317 
318     else
319     {
320         /*
321          * 2) The general case where the divisor is a full 64 bits
322          * is more difficult
323          */
324         Quotient.Part.Hi   = 0;
325         NormalizedDividend = Dividend;
326         NormalizedDivisor  = Divisor;
327 
328         /* Normalize the operands (shift until the divisor is < 32 bits) */
329 
330         do
331         {
332             ACPI_SHIFT_RIGHT_64 (
333                 NormalizedDivisor.Part.Hi, NormalizedDivisor.Part.Lo);
334             ACPI_SHIFT_RIGHT_64 (
335                 NormalizedDividend.Part.Hi, NormalizedDividend.Part.Lo);
336 
337         } while (NormalizedDivisor.Part.Hi != 0);
338 
339         /* Partial divide */
340 
341         ACPI_DIV_64_BY_32 (
342             NormalizedDividend.Part.Hi, NormalizedDividend.Part.Lo,
343             NormalizedDivisor.Part.Lo, Quotient.Part.Lo, Partial1);
344 
345         /*
346          * The quotient is always 32 bits, and simply requires
347          * adjustment. The 64-bit remainder must be generated.
348          */
349         Partial1 = Quotient.Part.Lo * Divisor.Part.Hi;
350         Partial2.Full = (UINT64) Quotient.Part.Lo * Divisor.Part.Lo;
351         Partial3.Full = (UINT64) Partial2.Part.Hi + Partial1;
352 
353         Remainder.Part.Hi = Partial3.Part.Lo;
354         Remainder.Part.Lo = Partial2.Part.Lo;
355 
356         if (Partial3.Part.Hi == 0)
357         {
358             if (Partial3.Part.Lo >= Dividend.Part.Hi)
359             {
360                 if (Partial3.Part.Lo == Dividend.Part.Hi)
361                 {
362                     if (Partial2.Part.Lo > Dividend.Part.Lo)
363                     {
364                         Quotient.Part.Lo--;
365                         Remainder.Full -= Divisor.Full;
366                     }
367                 }
368                 else
369                 {
370                     Quotient.Part.Lo--;
371                     Remainder.Full -= Divisor.Full;
372                 }
373             }
374 
375             Remainder.Full = Remainder.Full - Dividend.Full;
376             Remainder.Part.Hi = (UINT32) -((INT32) Remainder.Part.Hi);
377             Remainder.Part.Lo = (UINT32) -((INT32) Remainder.Part.Lo);
378 
379             if (Remainder.Part.Lo)
380             {
381                 Remainder.Part.Hi--;
382             }
383         }
384     }
385 
386     /* Return only what was requested */
387 
388     if (OutQuotient)
389     {
390         *OutQuotient = Quotient.Full;
391     }
392     if (OutRemainder)
393     {
394         *OutRemainder = Remainder.Full;
395     }
396 
397     return_ACPI_STATUS (AE_OK);
398 }
399 
400 #else
401 
402 /*******************************************************************************
403  *
404  * FUNCTION:    AcpiUtShortDivide, AcpiUtDivide
405  *
406  * PARAMETERS:  See function headers above
407  *
408  * DESCRIPTION: Native versions of the UtDivide functions. Use these if either
409  *              1) The target is a 64-bit platform and therefore 64-bit
410  *                 integer math is supported directly by the machine.
411  *              2) The target is a 32-bit or 16-bit platform, and the
412  *                 double-precision integer math library is available to
413  *                 perform the divide.
414  *
415  ******************************************************************************/
416 
417 ACPI_STATUS
418 AcpiUtShortDivide (
419     UINT64                  InDividend,
420     UINT32                  Divisor,
421     UINT64                  *OutQuotient,
422     UINT32                  *OutRemainder)
423 {
424 
425     ACPI_FUNCTION_TRACE (UtShortDivide);
426 
427 
428     /* Always check for a zero divisor */
429 
430     if (Divisor == 0)
431     {
432         ACPI_ERROR ((AE_INFO, "Divide by zero"));
433         return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO);
434     }
435 
436     /* Return only what was requested */
437 
438     if (OutQuotient)
439     {
440         *OutQuotient = InDividend / Divisor;
441     }
442     if (OutRemainder)
443     {
444         *OutRemainder = (UINT32) (InDividend % Divisor);
445     }
446 
447     return_ACPI_STATUS (AE_OK);
448 }
449 
450 ACPI_STATUS
451 AcpiUtDivide (
452     UINT64                  InDividend,
453     UINT64                  InDivisor,
454     UINT64                  *OutQuotient,
455     UINT64                  *OutRemainder)
456 {
457     ACPI_FUNCTION_TRACE (UtDivide);
458 
459 
460     /* Always check for a zero divisor */
461 
462     if (InDivisor == 0)
463     {
464         ACPI_ERROR ((AE_INFO, "Divide by zero"));
465         return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO);
466     }
467 
468 
469     /* Return only what was requested */
470 
471     if (OutQuotient)
472     {
473         *OutQuotient = InDividend / InDivisor;
474     }
475     if (OutRemainder)
476     {
477         *OutRemainder = InDividend % InDivisor;
478     }
479 
480     return_ACPI_STATUS (AE_OK);
481 }
482 
483 #endif
484