2 * Large integer functions
4 * Copyright 2000 Alexandre Julliard
5 * Copyright 2003 Thomas Mertes
7 * This library is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU Lesser General Public
9 * License as published by the Free Software Foundation; either
10 * version 2.1 of the License, or (at your option) any later version.
12 * This library is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
15 * Lesser General Public License for more details.
17 * You should have received a copy of the GNU Lesser General Public
18 * License along with this library; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
26 * Note: we use LONGLONG instead of LARGE_INTEGER, because
27 * the latter is a structure and the calling convention for
28 * returning a structure would not be binary-compatible.
30 * FIXME: for platforms that don't have a native LONGLONG type,
31 * we should define LONGLONG as a structure similar to LARGE_INTEGER
32 * and do everything by hand. You are welcome to do it...
35 /******************************************************************************
36 * RtlLargeIntegerAdd (NTDLL.@)
38 LONGLONG WINAPI
RtlLargeIntegerAdd( LONGLONG a
, LONGLONG b
)
44 /******************************************************************************
45 * RtlLargeIntegerSubtract (NTDLL.@)
47 LONGLONG WINAPI
RtlLargeIntegerSubtract( LONGLONG a
, LONGLONG b
)
53 /******************************************************************************
54 * RtlLargeIntegerNegate (NTDLL.@)
56 LONGLONG WINAPI
RtlLargeIntegerNegate( LONGLONG a
)
62 /******************************************************************************
63 * RtlLargeIntegerShiftLeft (NTDLL.@)
65 LONGLONG WINAPI
RtlLargeIntegerShiftLeft( LONGLONG a
, INT count
)
71 /******************************************************************************
72 * RtlLargeIntegerShiftRight (NTDLL.@)
74 LONGLONG WINAPI
RtlLargeIntegerShiftRight( LONGLONG a
, INT count
)
76 return (ULONGLONG
)a
>> count
;
80 /******************************************************************************
81 * RtlLargeIntegerArithmeticShift (NTDLL.@)
83 LONGLONG WINAPI
RtlLargeIntegerArithmeticShift( LONGLONG a
, INT count
)
85 /* FIXME: gcc does arithmetic shift here, but it may not be true on all platforms */
90 /******************************************************************************
91 * RtlLargeIntegerDivide (NTDLL.@)
93 * FIXME: should it be signed division instead?
95 ULONGLONG WINAPI
RtlLargeIntegerDivide( ULONGLONG a
, ULONGLONG b
, ULONGLONG
*rem
)
97 ULONGLONG ret
= a
/ b
;
98 if (rem
) *rem
= a
- ret
* b
;
103 /******************************************************************************
104 * RtlConvertLongToLargeInteger (NTDLL.@)
106 LONGLONG WINAPI
RtlConvertLongToLargeInteger( LONG a
)
112 /******************************************************************************
113 * RtlConvertUlongToLargeInteger (NTDLL.@)
115 ULONGLONG WINAPI
RtlConvertUlongToLargeInteger( ULONG a
)
121 /******************************************************************************
122 * RtlEnlargedIntegerMultiply (NTDLL.@)
124 LONGLONG WINAPI
RtlEnlargedIntegerMultiply( INT a
, INT b
)
126 return (LONGLONG
)a
* b
;
130 /******************************************************************************
131 * RtlEnlargedUnsignedMultiply (NTDLL.@)
133 ULONGLONG WINAPI
RtlEnlargedUnsignedMultiply( UINT a
, UINT b
)
135 return (ULONGLONG
)a
* b
;
139 /******************************************************************************
140 * RtlEnlargedUnsignedDivide (NTDLL.@)
142 UINT WINAPI
RtlEnlargedUnsignedDivide( ULONGLONG a
, UINT b
, UINT
*remptr
)
144 #if defined(__i386__) && defined(__GNUC__)
145 UINT ret
, rem
, p1
, p2
;
148 p2
= a
& 0xffffffffLL
;
150 __asm__("div %4,%%eax"
151 : "=a" (ret
), "=d" (rem
)
152 : "0" (p2
), "1" (p1
), "g" (b
) );
153 if (remptr
) *remptr
= rem
;
157 if (remptr
) *remptr
= a
% b
;
163 /******************************************************************************
164 * RtlExtendedLargeIntegerDivide (NTDLL.@)
166 LONGLONG WINAPI
RtlExtendedLargeIntegerDivide( LONGLONG a
, INT b
, INT
*rem
)
168 LONGLONG ret
= a
/ b
;
169 if (rem
) *rem
= a
- b
* ret
;
174 /******************************************************************************
175 * RtlExtendedIntegerMultiply (NTDLL.@)
177 LONGLONG WINAPI
RtlExtendedIntegerMultiply( LONGLONG a
, INT b
)
183 /******************************************************************************
184 * RtlExtendedMagicDivide (NTDLL.@)
186 * Allows replacing a division by a longlong constant with a multiplication by
187 * the inverse constant.
190 * (dividend * inverse_divisor) >> (64 + shift)
193 * If the divisor of a division is constant, the constants inverse_divisor and
194 * shift must be chosen such that inverse_divisor = 2^(64 + shift) / divisor.
195 * Then we have RtlExtendedMagicDivide(dividend,inverse_divisor,shift) ==
196 * dividend * inverse_divisor / 2^(64 + shift) == dividend / divisor.
198 * The Parameter inverse_divisor although defined as LONGLONG is used as
201 #define LOWER_32(A) ((A) & 0xffffffff)
202 #define UPPER_32(A) ((A) >> 32)
203 LONGLONG WINAPI
RtlExtendedMagicDivide(
204 LONGLONG dividend
, /* [I] Dividend to be divided by the constant divisor */
205 LONGLONG inverse_divisor
, /* [I] Constant computed manually as 2^(64+shift) / divisor */
206 INT shift
) /* [I] Constant shift chosen to make inverse_divisor as big as possible for 64 bits */
208 ULONGLONG dividend_high
;
209 ULONGLONG dividend_low
;
210 ULONGLONG inverse_divisor_high
;
211 ULONGLONG inverse_divisor_low
;
218 dividend_high
= UPPER_32((ULONGLONG
) -dividend
);
219 dividend_low
= LOWER_32((ULONGLONG
) -dividend
);
222 dividend_high
= UPPER_32((ULONGLONG
) dividend
);
223 dividend_low
= LOWER_32((ULONGLONG
) dividend
);
226 inverse_divisor_high
= UPPER_32((ULONGLONG
) inverse_divisor
);
227 inverse_divisor_low
= LOWER_32((ULONGLONG
) inverse_divisor
);
229 ah_bl
= dividend_high
* inverse_divisor_low
;
230 al_bh
= dividend_low
* inverse_divisor_high
;
232 result
= (LONGLONG
) ((dividend_high
* inverse_divisor_high
+
235 UPPER_32(LOWER_32(ah_bl
) + LOWER_32(al_bh
) +
236 UPPER_32(dividend_low
* inverse_divisor_low
))) >> shift
);
246 /******************************************************************************
247 * RtlLargeIntegerToChar [NTDLL.@]
249 * Convert an unsigned large integer to a character string.
252 * Success: STATUS_SUCCESS. str contains the converted number
253 * Failure: STATUS_INVALID_PARAMETER, if base is not 0, 2, 8, 10 or 16.
254 * STATUS_BUFFER_OVERFLOW, if str would be larger than length.
255 * STATUS_ACCESS_VIOLATION, if str is NULL.
258 * Instead of base 0 it uses 10 as base.
259 * Writes at most length characters to the string str.
260 * Str is '\0' terminated when length allowes it.
261 * When str fits exactly in length characters the '\0' is ommitted.
262 * If value_ptr is NULL it crashes, as the native function does.
265 * - Accept base 0 as 10 instead of crashing as native function does.
266 * - The native function does produce garbage or STATUS_BUFFER_OVERFLOW for
267 * base 2, 8 and 16 when the value is larger than 0xFFFFFFFF.
269 NTSTATUS WINAPI
RtlLargeIntegerToChar(
270 const ULONGLONG
*value_ptr
, /* [I] Pointer to the value to be converted */
271 ULONG base
, /* [I] Number base for conversion (allowed 0, 2, 8, 10 or 16) */
272 ULONG length
, /* [I] Length of the str buffer in bytes */
273 PCHAR str
) /* [O] Destination for the converted value */
275 ULONGLONG value
= *value_ptr
;
283 } else if (base
!= 2 && base
!= 8 && base
!= 10 && base
!= 16) {
284 return STATUS_INVALID_PARAMETER
;
292 digit
= value
% base
;
293 value
= value
/ base
;
297 *pos
= 'A' + digit
- 10;
299 } while (value
!= 0L);
301 len
= &buffer
[64] - pos
;
303 return STATUS_BUFFER_OVERFLOW
;
304 } else if (str
== NULL
) {
305 return STATUS_ACCESS_VIOLATION
;
306 } else if (len
== length
) {
307 memcpy(str
, pos
, len
);
309 memcpy(str
, pos
, len
+ 1);
311 return STATUS_SUCCESS
;
315 /**************************************************************************
316 * RtlInt64ToUnicodeString (NTDLL.@)
318 * Convert a large unsigned integer to a '\0' terminated unicode string.
321 * Success: STATUS_SUCCESS. str contains the converted number
322 * Failure: STATUS_INVALID_PARAMETER, if base is not 0, 2, 8, 10 or 16.
323 * STATUS_BUFFER_OVERFLOW, if str is too small to hold the string
324 * (with the '\0' termination). In this case str->Length
325 * is set to the length, the string would have (which can
326 * be larger than the MaximumLength).
329 * Instead of base 0 it uses 10 as base.
330 * If str is NULL it crashes, as the native function does.
333 * - Accept base 0 as 10 instead of crashing as native function does.
334 * - Do not return STATUS_BUFFER_OVERFLOW when the string is long enough.
335 * The native function does this when the string would be longer than 31
336 * characters even when the string parameter is long enough.
337 * - The native function does produce garbage or STATUS_BUFFER_OVERFLOW for
338 * base 2, 8 and 16 when the value is larger than 0xFFFFFFFF.
340 NTSTATUS WINAPI
RtlInt64ToUnicodeString(
341 ULONGLONG value
, /* [I] Value to be converted */
342 ULONG base
, /* [I] Number base for conversion (allowed 0, 2, 8, 10 or 16) */
343 UNICODE_STRING
*str
) /* [O] Destination for the converted value */
351 } else if (base
!= 2 && base
!= 8 && base
!= 10 && base
!= 16) {
352 return STATUS_INVALID_PARAMETER
;
360 digit
= value
% base
;
361 value
= value
/ base
;
365 *pos
= 'A' + digit
- 10;
367 } while (value
!= 0L);
369 str
->Length
= (&buffer
[64] - pos
) * sizeof(WCHAR
);
370 if (str
->Length
>= str
->MaximumLength
) {
371 return STATUS_BUFFER_OVERFLOW
;
373 memcpy(str
->Buffer
, pos
, str
->Length
+ sizeof(WCHAR
));
375 return STATUS_SUCCESS
;
379 /******************************************************************************
382 LONGLONG WINAPI
_alldiv( LONGLONG a
, LONGLONG b
)
388 /******************************************************************************
391 LONGLONG WINAPI
_allmul( LONGLONG a
, LONGLONG b
)
397 /******************************************************************************
400 LONGLONG WINAPI
_allrem( LONGLONG a
, LONGLONG b
)
406 /******************************************************************************
409 ULONGLONG WINAPI
_aulldiv( ULONGLONG a
, ULONGLONG b
)
415 /******************************************************************************
418 ULONGLONG WINAPI
_aullrem( ULONGLONG a
, ULONGLONG b
)