1*3446Smrj /*******************************************************************************
2*3446Smrj  *
3*3446Smrj  * Module Name: utmath - Integer math support routines
4*3446Smrj  *              $Revision: 1.21 $
5*3446Smrj  *
6*3446Smrj  ******************************************************************************/
7*3446Smrj 
8*3446Smrj /******************************************************************************
9*3446Smrj  *
10*3446Smrj  * 1. Copyright Notice
11*3446Smrj  *
12*3446Smrj  * Some or all of this work - Copyright (c) 1999 - 2006, Intel Corp.
13*3446Smrj  * All rights reserved.
14*3446Smrj  *
15*3446Smrj  * 2. License
16*3446Smrj  *
17*3446Smrj  * 2.1. This is your license from Intel Corp. under its intellectual property
18*3446Smrj  * rights.  You may have additional license terms from the party that provided
19*3446Smrj  * you this software, covering your right to use that party's intellectual
20*3446Smrj  * property rights.
21*3446Smrj  *
22*3446Smrj  * 2.2. Intel grants, free of charge, to any person ("Licensee") obtaining a
23*3446Smrj  * copy of the source code appearing in this file ("Covered Code") an
24*3446Smrj  * irrevocable, perpetual, worldwide license under Intel's copyrights in the
25*3446Smrj  * base code distributed originally by Intel ("Original Intel Code") to copy,
26*3446Smrj  * make derivatives, distribute, use and display any portion of the Covered
27*3446Smrj  * Code in any form, with the right to sublicense such rights; and
28*3446Smrj  *
29*3446Smrj  * 2.3. Intel grants Licensee a non-exclusive and non-transferable patent
30*3446Smrj  * license (with the right to sublicense), under only those claims of Intel
31*3446Smrj  * patents that are infringed by the Original Intel Code, to make, use, sell,
32*3446Smrj  * offer to sell, and import the Covered Code and derivative works thereof
33*3446Smrj  * solely to the minimum extent necessary to exercise the above copyright
34*3446Smrj  * license, and in no event shall the patent license extend to any additions
35*3446Smrj  * to or modifications of the Original Intel Code.  No other license or right
36*3446Smrj  * is granted directly or by implication, estoppel or otherwise;
37*3446Smrj  *
38*3446Smrj  * The above copyright and patent license is granted only if the following
39*3446Smrj  * conditions are met:
40*3446Smrj  *
41*3446Smrj  * 3. Conditions
42*3446Smrj  *
43*3446Smrj  * 3.1. Redistribution of Source with Rights to Further Distribute Source.
44*3446Smrj  * Redistribution of source code of any substantial portion of the Covered
45*3446Smrj  * Code or modification with rights to further distribute source must include
46*3446Smrj  * the above Copyright Notice, the above License, this list of Conditions,
47*3446Smrj  * and the following Disclaimer and Export Compliance provision.  In addition,
48*3446Smrj  * Licensee must cause all Covered Code to which Licensee contributes to
49*3446Smrj  * contain a file documenting the changes Licensee made to create that Covered
50*3446Smrj  * Code and the date of any change.  Licensee must include in that file the
51*3446Smrj  * documentation of any changes made by any predecessor Licensee.  Licensee
52*3446Smrj  * must include a prominent statement that the modification is derived,
53*3446Smrj  * directly or indirectly, from Original Intel Code.
54*3446Smrj  *
55*3446Smrj  * 3.2. Redistribution of Source with no Rights to Further Distribute Source.
56*3446Smrj  * Redistribution of source code of any substantial portion of the Covered
57*3446Smrj  * Code or modification without rights to further distribute source must
58*3446Smrj  * include the following Disclaimer and Export Compliance provision in the
59*3446Smrj  * documentation and/or other materials provided with distribution.  In
60*3446Smrj  * addition, Licensee may not authorize further sublicense of source of any
61*3446Smrj  * portion of the Covered Code, and must include terms to the effect that the
62*3446Smrj  * license from Licensee to its licensee is limited to the intellectual
63*3446Smrj  * property embodied in the software Licensee provides to its licensee, and
64*3446Smrj  * not to intellectual property embodied in modifications its licensee may
65*3446Smrj  * make.
66*3446Smrj  *
67*3446Smrj  * 3.3. Redistribution of Executable. Redistribution in executable form of any
68*3446Smrj  * substantial portion of the Covered Code or modification must reproduce the
69*3446Smrj  * above Copyright Notice, and the following Disclaimer and Export Compliance
70*3446Smrj  * provision in the documentation and/or other materials provided with the
71*3446Smrj  * distribution.
72*3446Smrj  *
73*3446Smrj  * 3.4. Intel retains all right, title, and interest in and to the Original
74*3446Smrj  * Intel Code.
75*3446Smrj  *
76*3446Smrj  * 3.5. Neither the name Intel nor any other trademark owned or controlled by
77*3446Smrj  * Intel shall be used in advertising or otherwise to promote the sale, use or
78*3446Smrj  * other dealings in products derived from or relating to the Covered Code
79*3446Smrj  * without prior written authorization from Intel.
80*3446Smrj  *
81*3446Smrj  * 4. Disclaimer and Export Compliance
82*3446Smrj  *
83*3446Smrj  * 4.1. INTEL MAKES NO WARRANTY OF ANY KIND REGARDING ANY SOFTWARE PROVIDED
84*3446Smrj  * HERE.  ANY SOFTWARE ORIGINATING FROM INTEL OR DERIVED FROM INTEL SOFTWARE
85*3446Smrj  * IS PROVIDED "AS IS," AND INTEL WILL NOT PROVIDE ANY SUPPORT,  ASSISTANCE,
86*3446Smrj  * INSTALLATION, TRAINING OR OTHER SERVICES.  INTEL WILL NOT PROVIDE ANY
87*3446Smrj  * UPDATES, ENHANCEMENTS OR EXTENSIONS.  INTEL SPECIFICALLY DISCLAIMS ANY
88*3446Smrj  * IMPLIED WARRANTIES OF MERCHANTABILITY, NONINFRINGEMENT AND FITNESS FOR A
89*3446Smrj  * PARTICULAR PURPOSE.
90*3446Smrj  *
91*3446Smrj  * 4.2. IN NO EVENT SHALL INTEL HAVE ANY LIABILITY TO LICENSEE, ITS LICENSEES
92*3446Smrj  * OR ANY OTHER THIRD PARTY, FOR ANY LOST PROFITS, LOST DATA, LOSS OF USE OR
93*3446Smrj  * COSTS OF PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES, OR FOR ANY INDIRECT,
94*3446Smrj  * SPECIAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THIS AGREEMENT, UNDER ANY
95*3446Smrj  * CAUSE OF ACTION OR THEORY OF LIABILITY, AND IRRESPECTIVE OF WHETHER INTEL
96*3446Smrj  * HAS ADVANCE NOTICE OF THE POSSIBILITY OF SUCH DAMAGES.  THESE LIMITATIONS
97*3446Smrj  * SHALL APPLY NOTWITHSTANDING THE FAILURE OF THE ESSENTIAL PURPOSE OF ANY
98*3446Smrj  * LIMITED REMEDY.
99*3446Smrj  *
100*3446Smrj  * 4.3. Licensee shall not export, either directly or indirectly, any of this
101*3446Smrj  * software or system incorporating such software without first obtaining any
102*3446Smrj  * required license or other approval from the U. S. Department of Commerce or
103*3446Smrj  * any other agency or department of the United States Government.  In the
104*3446Smrj  * event Licensee exports any such software from the United States or
105*3446Smrj  * re-exports any such software from a foreign destination, Licensee shall
106*3446Smrj  * ensure that the distribution and export/re-export of the software is in
107*3446Smrj  * compliance with all laws, regulations, orders, or other restrictions of the
108*3446Smrj  * U.S. Export Administration Regulations. Licensee agrees that neither it nor
109*3446Smrj  * any of its subsidiaries will export/re-export any technical data, process,
110*3446Smrj  * software, or service, directly or indirectly, to any country for which the
111*3446Smrj  * United States government or any agency thereof requires an export license,
112*3446Smrj  * other governmental approval, or letter of assurance, without first obtaining
113*3446Smrj  * such license, approval or letter.
114*3446Smrj  *
115*3446Smrj  *****************************************************************************/
116*3446Smrj 
117*3446Smrj 
118*3446Smrj #define __UTMATH_C__
119*3446Smrj 
120*3446Smrj #include "acpi.h"
121*3446Smrj 
122*3446Smrj 
123*3446Smrj #define _COMPONENT          ACPI_UTILITIES
124*3446Smrj         ACPI_MODULE_NAME    ("utmath")
125*3446Smrj 
126*3446Smrj /*
127*3446Smrj  * Support for double-precision integer divide.  This code is included here
128*3446Smrj  * in order to support kernel environments where the double-precision math
129*3446Smrj  * library is not available.
130*3446Smrj  */
131*3446Smrj 
132*3446Smrj #ifndef ACPI_USE_NATIVE_DIVIDE
133*3446Smrj /*******************************************************************************
134*3446Smrj  *
135*3446Smrj  * FUNCTION:    AcpiUtShortDivide
136*3446Smrj  *
137*3446Smrj  * PARAMETERS:  Dividend            - 64-bit dividend
138*3446Smrj  *              Divisor             - 32-bit divisor
139*3446Smrj  *              OutQuotient         - Pointer to where the quotient is returned
140*3446Smrj  *              OutRemainder        - Pointer to where the remainder is returned
141*3446Smrj  *
142*3446Smrj  * RETURN:      Status (Checks for divide-by-zero)
143*3446Smrj  *
144*3446Smrj  * DESCRIPTION: Perform a short (maximum 64 bits divided by 32 bits)
145*3446Smrj  *              divide and modulo.  The result is a 64-bit quotient and a
146*3446Smrj  *              32-bit remainder.
147*3446Smrj  *
148*3446Smrj  ******************************************************************************/
149*3446Smrj 
150*3446Smrj ACPI_STATUS
151*3446Smrj AcpiUtShortDivide (
152*3446Smrj     ACPI_INTEGER            Dividend,
153*3446Smrj     UINT32                  Divisor,
154*3446Smrj     ACPI_INTEGER            *OutQuotient,
155*3446Smrj     UINT32                  *OutRemainder)
156*3446Smrj {
157*3446Smrj     UINT64_OVERLAY          DividendOvl;
158*3446Smrj     UINT64_OVERLAY          Quotient;
159*3446Smrj     UINT32                  Remainder32;
160*3446Smrj 
161*3446Smrj 
162*3446Smrj     ACPI_FUNCTION_TRACE (UtShortDivide);
163*3446Smrj 
164*3446Smrj 
165*3446Smrj     /* Always check for a zero divisor */
166*3446Smrj 
167*3446Smrj     if (Divisor == 0)
168*3446Smrj     {
169*3446Smrj         ACPI_ERROR ((AE_INFO, "Divide by zero"));
170*3446Smrj         return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO);
171*3446Smrj     }
172*3446Smrj 
173*3446Smrj     DividendOvl.Full = Dividend;
174*3446Smrj 
175*3446Smrj     /*
176*3446Smrj      * The quotient is 64 bits, the remainder is always 32 bits,
177*3446Smrj      * and is generated by the second divide.
178*3446Smrj      */
179*3446Smrj     ACPI_DIV_64_BY_32 (0, DividendOvl.Part.Hi, Divisor,
180*3446Smrj                        Quotient.Part.Hi, Remainder32);
181*3446Smrj     ACPI_DIV_64_BY_32 (Remainder32, DividendOvl.Part.Lo, Divisor,
182*3446Smrj                        Quotient.Part.Lo, Remainder32);
183*3446Smrj 
184*3446Smrj     /* Return only what was requested */
185*3446Smrj 
186*3446Smrj     if (OutQuotient)
187*3446Smrj     {
188*3446Smrj         *OutQuotient = Quotient.Full;
189*3446Smrj     }
190*3446Smrj     if (OutRemainder)
191*3446Smrj     {
192*3446Smrj         *OutRemainder = Remainder32;
193*3446Smrj     }
194*3446Smrj 
195*3446Smrj     return_ACPI_STATUS (AE_OK);
196*3446Smrj }
197*3446Smrj 
198*3446Smrj 
199*3446Smrj /*******************************************************************************
200*3446Smrj  *
201*3446Smrj  * FUNCTION:    AcpiUtDivide
202*3446Smrj  *
203*3446Smrj  * PARAMETERS:  InDividend          - Dividend
204*3446Smrj  *              InDivisor           - Divisor
205*3446Smrj  *              OutQuotient         - Pointer to where the quotient is returned
206*3446Smrj  *              OutRemainder        - Pointer to where the remainder is returned
207*3446Smrj  *
208*3446Smrj  * RETURN:      Status (Checks for divide-by-zero)
209*3446Smrj  *
210*3446Smrj  * DESCRIPTION: Perform a divide and modulo.
211*3446Smrj  *
212*3446Smrj  ******************************************************************************/
213*3446Smrj 
214*3446Smrj ACPI_STATUS
215*3446Smrj AcpiUtDivide (
216*3446Smrj     ACPI_INTEGER            InDividend,
217*3446Smrj     ACPI_INTEGER            InDivisor,
218*3446Smrj     ACPI_INTEGER            *OutQuotient,
219*3446Smrj     ACPI_INTEGER            *OutRemainder)
220*3446Smrj {
221*3446Smrj     UINT64_OVERLAY          Dividend;
222*3446Smrj     UINT64_OVERLAY          Divisor;
223*3446Smrj     UINT64_OVERLAY          Quotient;
224*3446Smrj     UINT64_OVERLAY          Remainder;
225*3446Smrj     UINT64_OVERLAY          NormalizedDividend;
226*3446Smrj     UINT64_OVERLAY          NormalizedDivisor;
227*3446Smrj     UINT32                  Partial1;
228*3446Smrj     UINT64_OVERLAY          Partial2;
229*3446Smrj     UINT64_OVERLAY          Partial3;
230*3446Smrj 
231*3446Smrj 
232*3446Smrj     ACPI_FUNCTION_TRACE (UtDivide);
233*3446Smrj 
234*3446Smrj 
235*3446Smrj     /* Always check for a zero divisor */
236*3446Smrj 
237*3446Smrj     if (InDivisor == 0)
238*3446Smrj     {
239*3446Smrj         ACPI_ERROR ((AE_INFO, "Divide by zero"));
240*3446Smrj         return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO);
241*3446Smrj     }
242*3446Smrj 
243*3446Smrj     Divisor.Full  = InDivisor;
244*3446Smrj     Dividend.Full = InDividend;
245*3446Smrj     if (Divisor.Part.Hi == 0)
246*3446Smrj     {
247*3446Smrj         /*
248*3446Smrj          * 1) Simplest case is where the divisor is 32 bits, we can
249*3446Smrj          * just do two divides
250*3446Smrj          */
251*3446Smrj         Remainder.Part.Hi = 0;
252*3446Smrj 
253*3446Smrj         /*
254*3446Smrj          * The quotient is 64 bits, the remainder is always 32 bits,
255*3446Smrj          * and is generated by the second divide.
256*3446Smrj          */
257*3446Smrj         ACPI_DIV_64_BY_32 (0, Dividend.Part.Hi, Divisor.Part.Lo,
258*3446Smrj                            Quotient.Part.Hi, Partial1);
259*3446Smrj         ACPI_DIV_64_BY_32 (Partial1, Dividend.Part.Lo, Divisor.Part.Lo,
260*3446Smrj                            Quotient.Part.Lo, Remainder.Part.Lo);
261*3446Smrj     }
262*3446Smrj 
263*3446Smrj     else
264*3446Smrj     {
265*3446Smrj         /*
266*3446Smrj          * 2) The general case where the divisor is a full 64 bits
267*3446Smrj          * is more difficult
268*3446Smrj          */
269*3446Smrj         Quotient.Part.Hi   = 0;
270*3446Smrj         NormalizedDividend = Dividend;
271*3446Smrj         NormalizedDivisor  = Divisor;
272*3446Smrj 
273*3446Smrj         /* Normalize the operands (shift until the divisor is < 32 bits) */
274*3446Smrj 
275*3446Smrj         do
276*3446Smrj         {
277*3446Smrj             ACPI_SHIFT_RIGHT_64 (NormalizedDivisor.Part.Hi,
278*3446Smrj                                  NormalizedDivisor.Part.Lo);
279*3446Smrj             ACPI_SHIFT_RIGHT_64 (NormalizedDividend.Part.Hi,
280*3446Smrj                                  NormalizedDividend.Part.Lo);
281*3446Smrj 
282*3446Smrj         } while (NormalizedDivisor.Part.Hi != 0);
283*3446Smrj 
284*3446Smrj         /* Partial divide */
285*3446Smrj 
286*3446Smrj         ACPI_DIV_64_BY_32 (NormalizedDividend.Part.Hi,
287*3446Smrj                            NormalizedDividend.Part.Lo,
288*3446Smrj                            NormalizedDivisor.Part.Lo,
289*3446Smrj                            Quotient.Part.Lo, Partial1);
290*3446Smrj 
291*3446Smrj         /*
292*3446Smrj          * The quotient is always 32 bits, and simply requires adjustment.
293*3446Smrj          * The 64-bit remainder must be generated.
294*3446Smrj          */
295*3446Smrj         Partial1      = Quotient.Part.Lo * Divisor.Part.Hi;
296*3446Smrj         Partial2.Full = (ACPI_INTEGER) Quotient.Part.Lo * Divisor.Part.Lo;
297*3446Smrj         Partial3.Full = (ACPI_INTEGER) Partial2.Part.Hi + Partial1;
298*3446Smrj 
299*3446Smrj         Remainder.Part.Hi = Partial3.Part.Lo;
300*3446Smrj         Remainder.Part.Lo = Partial2.Part.Lo;
301*3446Smrj 
302*3446Smrj         if (Partial3.Part.Hi == 0)
303*3446Smrj         {
304*3446Smrj             if (Partial3.Part.Lo >= Dividend.Part.Hi)
305*3446Smrj             {
306*3446Smrj                 if (Partial3.Part.Lo == Dividend.Part.Hi)
307*3446Smrj                 {
308*3446Smrj                     if (Partial2.Part.Lo > Dividend.Part.Lo)
309*3446Smrj                     {
310*3446Smrj                         Quotient.Part.Lo--;
311*3446Smrj                         Remainder.Full -= Divisor.Full;
312*3446Smrj                     }
313*3446Smrj                 }
314*3446Smrj                 else
315*3446Smrj                 {
316*3446Smrj                     Quotient.Part.Lo--;
317*3446Smrj                     Remainder.Full -= Divisor.Full;
318*3446Smrj                 }
319*3446Smrj             }
320*3446Smrj 
321*3446Smrj             Remainder.Full    = Remainder.Full - Dividend.Full;
322*3446Smrj             Remainder.Part.Hi = (UINT32) -((INT32) Remainder.Part.Hi);
323*3446Smrj             Remainder.Part.Lo = (UINT32) -((INT32) Remainder.Part.Lo);
324*3446Smrj 
325*3446Smrj             if (Remainder.Part.Lo)
326*3446Smrj             {
327*3446Smrj                 Remainder.Part.Hi--;
328*3446Smrj             }
329*3446Smrj         }
330*3446Smrj     }
331*3446Smrj 
332*3446Smrj     /* Return only what was requested */
333*3446Smrj 
334*3446Smrj     if (OutQuotient)
335*3446Smrj     {
336*3446Smrj         *OutQuotient = Quotient.Full;
337*3446Smrj     }
338*3446Smrj     if (OutRemainder)
339*3446Smrj     {
340*3446Smrj         *OutRemainder = Remainder.Full;
341*3446Smrj     }
342*3446Smrj 
343*3446Smrj     return_ACPI_STATUS (AE_OK);
344*3446Smrj }
345*3446Smrj 
346*3446Smrj #else
347*3446Smrj 
348*3446Smrj /*******************************************************************************
349*3446Smrj  *
350*3446Smrj  * FUNCTION:    AcpiUtShortDivide, AcpiUtDivide
351*3446Smrj  *
352*3446Smrj  * PARAMETERS:  See function headers above
353*3446Smrj  *
354*3446Smrj  * DESCRIPTION: Native versions of the UtDivide functions. Use these if either
355*3446Smrj  *              1) The target is a 64-bit platform and therefore 64-bit
356*3446Smrj  *                 integer math is supported directly by the machine.
357*3446Smrj  *              2) The target is a 32-bit or 16-bit platform, and the
358*3446Smrj  *                 double-precision integer math library is available to
359*3446Smrj  *                 perform the divide.
360*3446Smrj  *
361*3446Smrj  ******************************************************************************/
362*3446Smrj 
363*3446Smrj ACPI_STATUS
364*3446Smrj AcpiUtShortDivide (
365*3446Smrj     ACPI_INTEGER            InDividend,
366*3446Smrj     UINT32                  Divisor,
367*3446Smrj     ACPI_INTEGER            *OutQuotient,
368*3446Smrj     UINT32                  *OutRemainder)
369*3446Smrj {
370*3446Smrj 
371*3446Smrj     ACPI_FUNCTION_TRACE (UtShortDivide);
372*3446Smrj 
373*3446Smrj 
374*3446Smrj     /* Always check for a zero divisor */
375*3446Smrj 
376*3446Smrj     if (Divisor == 0)
377*3446Smrj     {
378*3446Smrj         ACPI_ERROR ((AE_INFO, "Divide by zero"));
379*3446Smrj         return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO);
380*3446Smrj     }
381*3446Smrj 
382*3446Smrj     /* Return only what was requested */
383*3446Smrj 
384*3446Smrj     if (OutQuotient)
385*3446Smrj     {
386*3446Smrj         *OutQuotient = InDividend / Divisor;
387*3446Smrj     }
388*3446Smrj     if (OutRemainder)
389*3446Smrj     {
390*3446Smrj         *OutRemainder = (UINT32) InDividend % Divisor;
391*3446Smrj     }
392*3446Smrj 
393*3446Smrj     return_ACPI_STATUS (AE_OK);
394*3446Smrj }
395*3446Smrj 
396*3446Smrj ACPI_STATUS
397*3446Smrj AcpiUtDivide (
398*3446Smrj     ACPI_INTEGER            InDividend,
399*3446Smrj     ACPI_INTEGER            InDivisor,
400*3446Smrj     ACPI_INTEGER            *OutQuotient,
401*3446Smrj     ACPI_INTEGER            *OutRemainder)
402*3446Smrj {
403*3446Smrj     ACPI_FUNCTION_TRACE (UtDivide);
404*3446Smrj 
405*3446Smrj 
406*3446Smrj     /* Always check for a zero divisor */
407*3446Smrj 
408*3446Smrj     if (InDivisor == 0)
409*3446Smrj     {
410*3446Smrj         ACPI_ERROR ((AE_INFO, "Divide by zero"));
411*3446Smrj         return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO);
412*3446Smrj     }
413*3446Smrj 
414*3446Smrj 
415*3446Smrj     /* Return only what was requested */
416*3446Smrj 
417*3446Smrj     if (OutQuotient)
418*3446Smrj     {
419*3446Smrj         *OutQuotient = InDividend / InDivisor;
420*3446Smrj     }
421*3446Smrj     if (OutRemainder)
422*3446Smrj     {
423*3446Smrj         *OutRemainder = InDividend % InDivisor;
424*3446Smrj     }
425*3446Smrj 
426*3446Smrj     return_ACPI_STATUS (AE_OK);
427*3446Smrj }
428*3446Smrj 
429*3446Smrj #endif
430*3446Smrj 
431*3446Smrj 
432