1 /*******************************************************************************
3 * Module Name: utmath - Integer math support routines
5 ******************************************************************************/
7 /******************************************************************************
11 * Some or all of this work - Copyright (c) 1999 - 2010, Intel Corp.
12 * All rights reserved.
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
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
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;
37 * The above copyright and patent license is granted only if the following
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.
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
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
72 * 3.4. Intel retains all right, title, and interest in and to the Original
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.
80 * 4. Disclaimer and Export Compliance
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
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
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.
114 *****************************************************************************/
120 #include "accommon.h"
123 #define _COMPONENT ACPI_UTILITIES
124 ACPI_MODULE_NAME ("utmath")
127 * Support for double-precision integer divide. This code is included here
128 * in order to support kernel environments where the double-precision math
129 * library is not available.
132 #ifndef ACPI_USE_NATIVE_DIVIDE
133 /*******************************************************************************
135 * FUNCTION: AcpiUtShortDivide
137 * PARAMETERS: Dividend - 64-bit dividend
138 * Divisor - 32-bit divisor
139 * OutQuotient - Pointer to where the quotient is returned
140 * OutRemainder - Pointer to where the remainder is returned
142 * RETURN: Status (Checks for divide-by-zero)
144 * DESCRIPTION: Perform a short (maximum 64 bits divided by 32 bits)
145 * divide and modulo. The result is a 64-bit quotient and a
148 ******************************************************************************/
155 UINT32
*OutRemainder
)
157 UINT64_OVERLAY DividendOvl
;
158 UINT64_OVERLAY Quotient
;
162 ACPI_FUNCTION_TRACE (UtShortDivide
);
165 /* Always check for a zero divisor */
169 ACPI_ERROR ((AE_INFO
, "Divide by zero"));
170 return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO
);
173 DividendOvl
.Full
= Dividend
;
176 * The quotient is 64 bits, the remainder is always 32 bits,
177 * and is generated by the second divide.
179 ACPI_DIV_64_BY_32 (0, DividendOvl
.Part
.Hi
, Divisor
,
180 Quotient
.Part
.Hi
, Remainder32
);
181 ACPI_DIV_64_BY_32 (Remainder32
, DividendOvl
.Part
.Lo
, Divisor
,
182 Quotient
.Part
.Lo
, Remainder32
);
184 /* Return only what was requested */
188 *OutQuotient
= Quotient
.Full
;
192 *OutRemainder
= Remainder32
;
195 return_ACPI_STATUS (AE_OK
);
199 /*******************************************************************************
201 * FUNCTION: AcpiUtDivide
203 * PARAMETERS: InDividend - Dividend
204 * InDivisor - Divisor
205 * OutQuotient - Pointer to where the quotient is returned
206 * OutRemainder - Pointer to where the remainder is returned
208 * RETURN: Status (Checks for divide-by-zero)
210 * DESCRIPTION: Perform a divide and modulo.
212 ******************************************************************************/
219 UINT64
*OutRemainder
)
221 UINT64_OVERLAY Dividend
;
222 UINT64_OVERLAY Divisor
;
223 UINT64_OVERLAY Quotient
;
224 UINT64_OVERLAY Remainder
;
225 UINT64_OVERLAY NormalizedDividend
;
226 UINT64_OVERLAY NormalizedDivisor
;
228 UINT64_OVERLAY Partial2
;
229 UINT64_OVERLAY Partial3
;
232 ACPI_FUNCTION_TRACE (UtDivide
);
235 /* Always check for a zero divisor */
239 ACPI_ERROR ((AE_INFO
, "Divide by zero"));
240 return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO
);
243 Divisor
.Full
= InDivisor
;
244 Dividend
.Full
= InDividend
;
245 if (Divisor
.Part
.Hi
== 0)
248 * 1) Simplest case is where the divisor is 32 bits, we can
249 * just do two divides
251 Remainder
.Part
.Hi
= 0;
254 * The quotient is 64 bits, the remainder is always 32 bits,
255 * and is generated by the second divide.
257 ACPI_DIV_64_BY_32 (0, Dividend
.Part
.Hi
, Divisor
.Part
.Lo
,
258 Quotient
.Part
.Hi
, Partial1
);
259 ACPI_DIV_64_BY_32 (Partial1
, Dividend
.Part
.Lo
, Divisor
.Part
.Lo
,
260 Quotient
.Part
.Lo
, Remainder
.Part
.Lo
);
266 * 2) The general case where the divisor is a full 64 bits
269 Quotient
.Part
.Hi
= 0;
270 NormalizedDividend
= Dividend
;
271 NormalizedDivisor
= Divisor
;
273 /* Normalize the operands (shift until the divisor is < 32 bits) */
277 ACPI_SHIFT_RIGHT_64 (NormalizedDivisor
.Part
.Hi
,
278 NormalizedDivisor
.Part
.Lo
);
279 ACPI_SHIFT_RIGHT_64 (NormalizedDividend
.Part
.Hi
,
280 NormalizedDividend
.Part
.Lo
);
282 } while (NormalizedDivisor
.Part
.Hi
!= 0);
286 ACPI_DIV_64_BY_32 (NormalizedDividend
.Part
.Hi
,
287 NormalizedDividend
.Part
.Lo
,
288 NormalizedDivisor
.Part
.Lo
,
289 Quotient
.Part
.Lo
, Partial1
);
292 * The quotient is always 32 bits, and simply requires adjustment.
293 * The 64-bit remainder must be generated.
295 Partial1
= Quotient
.Part
.Lo
* Divisor
.Part
.Hi
;
296 Partial2
.Full
= (UINT64
) Quotient
.Part
.Lo
* Divisor
.Part
.Lo
;
297 Partial3
.Full
= (UINT64
) Partial2
.Part
.Hi
+ Partial1
;
299 Remainder
.Part
.Hi
= Partial3
.Part
.Lo
;
300 Remainder
.Part
.Lo
= Partial2
.Part
.Lo
;
302 if (Partial3
.Part
.Hi
== 0)
304 if (Partial3
.Part
.Lo
>= Dividend
.Part
.Hi
)
306 if (Partial3
.Part
.Lo
== Dividend
.Part
.Hi
)
308 if (Partial2
.Part
.Lo
> Dividend
.Part
.Lo
)
311 Remainder
.Full
-= Divisor
.Full
;
317 Remainder
.Full
-= Divisor
.Full
;
321 Remainder
.Full
= Remainder
.Full
- Dividend
.Full
;
322 Remainder
.Part
.Hi
= (UINT32
) -((INT32
) Remainder
.Part
.Hi
);
323 Remainder
.Part
.Lo
= (UINT32
) -((INT32
) Remainder
.Part
.Lo
);
325 if (Remainder
.Part
.Lo
)
332 /* Return only what was requested */
336 *OutQuotient
= Quotient
.Full
;
340 *OutRemainder
= Remainder
.Full
;
343 return_ACPI_STATUS (AE_OK
);
348 /*******************************************************************************
350 * FUNCTION: AcpiUtShortDivide, AcpiUtDivide
352 * PARAMETERS: See function headers above
354 * DESCRIPTION: Native versions of the UtDivide functions. Use these if either
355 * 1) The target is a 64-bit platform and therefore 64-bit
356 * integer math is supported directly by the machine.
357 * 2) The target is a 32-bit or 16-bit platform, and the
358 * double-precision integer math library is available to
359 * perform the divide.
361 ******************************************************************************/
368 UINT32
*OutRemainder
)
371 ACPI_FUNCTION_TRACE (UtShortDivide
);
374 /* Always check for a zero divisor */
378 ACPI_ERROR ((AE_INFO
, "Divide by zero"));
379 return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO
);
382 /* Return only what was requested */
386 *OutQuotient
= InDividend
/ Divisor
;
390 *OutRemainder
= (UINT32
) (InDividend
% Divisor
);
393 return_ACPI_STATUS (AE_OK
);
401 UINT64
*OutRemainder
)
403 ACPI_FUNCTION_TRACE (UtDivide
);
406 /* Always check for a zero divisor */
410 ACPI_ERROR ((AE_INFO
, "Divide by zero"));
411 return_ACPI_STATUS (AE_AML_DIVIDE_BY_ZERO
);
415 /* Return only what was requested */
419 *OutQuotient
= InDividend
/ InDivisor
;
423 *OutRemainder
= InDividend
% InDivisor
;
426 return_ACPI_STATUS (AE_OK
);