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
29 * Note: we use LONGLONG instead of LARGE_INTEGER, because
30 * the latter is a structure and the calling convention for
31 * returning a structure would not be binary-compatible.
33 * FIXME: for platforms that don't have a native LONGLONG type,
34 * we should define LONGLONG as a structure similar to LARGE_INTEGER
35 * and do everything by hand. You are welcome to do it...
38 /******************************************************************************
39 * RtlLargeIntegerAdd (NTDLL.@)
41 * Add two 64 bit integers.
44 * a [I] Initial number.
45 * b [I] Number to add to a.
50 LONGLONG WINAPI RtlLargeIntegerAdd( LONGLONG a, LONGLONG b )
56 /******************************************************************************
57 * RtlLargeIntegerSubtract (NTDLL.@)
59 * Subtract two 64 bit integers.
62 * a [I] Initial number.
63 * b [I] Number to subtract from a.
66 * The difference of a and b.
68 LONGLONG WINAPI RtlLargeIntegerSubtract( LONGLONG a, LONGLONG b )
74 /******************************************************************************
75 * RtlLargeIntegerNegate (NTDLL.@)
77 * Negate a 64 bit integer.
80 * a [I] Initial number.
83 * The value of a negated.
85 LONGLONG WINAPI RtlLargeIntegerNegate( LONGLONG a )
91 /******************************************************************************
92 * RtlLargeIntegerShiftLeft (NTDLL.@)
94 * Perform a shift left on a 64 bit integer.
97 * a [I] Initial number.
98 * count [I] Number of bits to shift by
101 * The value of a following the shift.
103 LONGLONG WINAPI RtlLargeIntegerShiftLeft( LONGLONG a, INT count )
109 /******************************************************************************
110 * RtlLargeIntegerShiftRight (NTDLL.@)
112 * Perform a shift right on a 64 bit integer.
115 * a [I] Initial number.
116 * count [I] Number of bits to shift by
119 * The value of a following the shift.
121 LONGLONG WINAPI RtlLargeIntegerShiftRight( LONGLONG a, INT count )
123 return (ULONGLONG)a >> count;
127 /******************************************************************************
128 * RtlLargeIntegerArithmeticShift (NTDLL.@)
130 * Perform an arithmetic shift right on a 64 bit integer.
133 * a [I] Initial number.
134 * count [I] Number of bits to shift by
137 * The value of a following the shift.
139 LONGLONG WINAPI RtlLargeIntegerArithmeticShift( LONGLONG a, INT count )
141 /* FIXME: gcc does arithmetic shift here, but it may not be true on all platforms */
146 /******************************************************************************
147 * RtlLargeIntegerDivide (NTDLL.@)
149 * Divide one 64 bit unsigned integer by another, with remainder.
152 * a [I] Initial number.
153 * b [I] Number to divide a by
154 * rem [O] Destination for remainder
157 * The dividend of a and b. If rem is non-NULL it is set to the remainder.
160 * Should it be signed division instead?
162 ULONGLONG WINAPI RtlLargeIntegerDivide( ULONGLONG a, ULONGLONG b, ULONGLONG *rem )
164 ULONGLONG ret = a / b;
165 if (rem) *rem = a - ret * b;
170 /******************************************************************************
171 * RtlConvertLongToLargeInteger (NTDLL.@)
173 * Convert a 32 bit integer into 64 bits.
176 * a [I] Number to convert
181 LONGLONG WINAPI RtlConvertLongToLargeInteger( LONG a )
187 /******************************************************************************
188 * RtlConvertUlongToLargeInteger (NTDLL.@)
190 * Convert a 32 bit unsigned integer into 64 bits.
193 * a [I] Number to convert
198 ULONGLONG WINAPI RtlConvertUlongToLargeInteger( ULONG a )
204 /******************************************************************************
205 * RtlEnlargedIntegerMultiply (NTDLL.@)
207 * Multiply two integers giving a 64 bit integer result.
210 * a [I] Initial number.
211 * b [I] Number to multiply a by.
214 * The product of a and b.
216 LONGLONG WINAPI RtlEnlargedIntegerMultiply( INT a, INT b )
218 return (LONGLONG)a * b;
222 /******************************************************************************
223 * RtlEnlargedUnsignedMultiply (NTDLL.@)
225 * Multiply two unsigned integers giving a 64 bit unsigned integer result.
228 * a [I] Initial number.
229 * b [I] Number to multiply a by.
232 * The product of a and b.
234 ULONGLONG WINAPI RtlEnlargedUnsignedMultiply( UINT a, UINT b )
236 return (ULONGLONG)a * b;
240 /******************************************************************************
241 * RtlEnlargedUnsignedDivide (NTDLL.@)
243 * Divide one 64 bit unsigned integer by a 32 bit unsigned integer, with remainder.
246 * a [I] Initial number.
247 * b [I] Number to divide a by
248 * remptr [O] Destination for remainder
251 * The dividend of a and b. If remptr is non-NULL it is set to the remainder.
253 UINT WINAPI RtlEnlargedUnsignedDivide( ULONGLONG a, UINT b, UINT *remptr )
255 #if defined(__i386__) && defined(__GNUC__)
256 UINT ret, rem, p1, p2;
259 p2 = a & 0xffffffffLL;
261 __asm__("div %4,%%eax"
262 : "=a" (ret), "=d" (rem)
263 : "0" (p2), "1" (p1), "g" (b) );
264 if (remptr) *remptr = rem;
268 if (remptr) *remptr = a % b;
274 /******************************************************************************
275 * RtlExtendedLargeIntegerDivide (NTDLL.@)
277 * Divide one 64 bit integer by a 32 bit integer, with remainder.
280 * a [I] Initial number.
281 * b [I] Number to divide a by
282 * rem [O] Destination for remainder
285 * The dividend of a and b. If rem is non-NULL it is set to the remainder.
287 LONGLONG WINAPI RtlExtendedLargeIntegerDivide( LONGLONG a, INT b, INT *rem )
289 LONGLONG ret = a / b;
290 if (rem) *rem = a - b * ret;
295 /******************************************************************************
296 * RtlExtendedIntegerMultiply (NTDLL.@)
298 * Multiply one 64 bit integer by another 32 bit integer.
301 * a [I] Initial number.
302 * b [I] Number to multiply a by.
305 * The product of a and b.
307 LONGLONG WINAPI RtlExtendedIntegerMultiply( LONGLONG a, INT b )
313 /******************************************************************************
314 * RtlExtendedMagicDivide (NTDLL.@)
316 * Allows replacing a division by a longlong constant with a multiplication by
317 * the inverse constant.
320 * (dividend * inverse_divisor) >> (64 + shift)
323 * If the divisor of a division is constant, the constants inverse_divisor and
324 * shift must be chosen such that inverse_divisor = 2^(64 + shift) / divisor.
325 * Then we have RtlExtendedMagicDivide(dividend,inverse_divisor,shift) ==
326 * dividend * inverse_divisor / 2^(64 + shift) == dividend / divisor.
328 * The Parameter inverse_divisor although defined as LONGLONG is used as
331 #define LOWER_32(A) ((A) & 0xffffffff)
332 #define UPPER_32(A) ((A) >> 32)
333 LONGLONG WINAPI RtlExtendedMagicDivide(
334 LONGLONG dividend, /* [I] Dividend to be divided by the constant divisor */
335 LONGLONG inverse_divisor, /* [I] Constant computed manually as 2^(64+shift) / divisor */
336 INT shift) /* [I] Constant shift chosen to make inverse_divisor as big as possible for 64 bits */
338 ULONGLONG dividend_high;
339 ULONGLONG dividend_low;
340 ULONGLONG inverse_divisor_high;
341 ULONGLONG inverse_divisor_low;
348 dividend_high = UPPER_32((ULONGLONG) -dividend);
349 dividend_low = LOWER_32((ULONGLONG) -dividend);
352 dividend_high = UPPER_32((ULONGLONG) dividend);
353 dividend_low = LOWER_32((ULONGLONG) dividend);
356 inverse_divisor_high = UPPER_32((ULONGLONG) inverse_divisor);
357 inverse_divisor_low = LOWER_32((ULONGLONG) inverse_divisor);
359 ah_bl = dividend_high * inverse_divisor_low;
360 al_bh = dividend_low * inverse_divisor_high;
362 result = (LONGLONG) ((dividend_high * inverse_divisor_high +
365 UPPER_32(LOWER_32(ah_bl) + LOWER_32(al_bh) +
366 UPPER_32(dividend_low * inverse_divisor_low))) >> shift);
376 /******************************************************************************
377 * RtlLargeIntegerToChar [NTDLL.@]
379 * Convert an unsigned large integer to a character string.
382 * Success: STATUS_SUCCESS. str contains the converted number
383 * Failure: STATUS_INVALID_PARAMETER, if base is not 0, 2, 8, 10 or 16.
384 * STATUS_BUFFER_OVERFLOW, if str would be larger than length.
385 * STATUS_ACCESS_VIOLATION, if str is NULL.
388 * Instead of base 0 it uses 10 as base.
389 * Writes at most length characters to the string str.
390 * Str is '\0' terminated when length allows it.
391 * When str fits exactly in length characters the '\0' is omitted.
392 * If value_ptr is NULL it crashes, as the native function does.
395 * - Accept base 0 as 10 instead of crashing as native function does.
396 * - The native function does produce garbage or STATUS_BUFFER_OVERFLOW for
397 * base 2, 8 and 16 when the value is larger than 0xFFFFFFFF.
399 NTSTATUS WINAPI RtlLargeIntegerToChar(
400 const ULONGLONG *value_ptr, /* [I] Pointer to the value to be converted */
401 ULONG base, /* [I] Number base for conversion (allowed 0, 2, 8, 10 or 16) */
402 ULONG length, /* [I] Length of the str buffer in bytes */
403 PCHAR str) /* [O] Destination for the converted value */
405 ULONGLONG value = *value_ptr;
413 } else if (base != 2 && base != 8 && base != 10 && base != 16) {
414 return STATUS_INVALID_PARAMETER;
422 digit = value % base;
423 value = value / base;
427 *pos = 'A' + digit - 10;
429 } while (value != 0L);
431 len = &buffer[64] - pos;
433 return STATUS_BUFFER_OVERFLOW;
434 } else if (str == NULL) {
435 return STATUS_ACCESS_VIOLATION;
436 } else if (len == length) {
437 memcpy(str, pos, len);
439 memcpy(str, pos, len + 1);
441 return STATUS_SUCCESS;
445 /**************************************************************************
446 * RtlInt64ToUnicodeString (NTDLL.@)
448 * Convert a large unsigned integer to a '\0' terminated unicode string.
451 * Success: STATUS_SUCCESS. str contains the converted number
452 * Failure: STATUS_INVALID_PARAMETER, if base is not 0, 2, 8, 10 or 16.
453 * STATUS_BUFFER_OVERFLOW, if str is too small to hold the string
454 * (with the '\0' termination). In this case str->Length
455 * is set to the length, the string would have (which can
456 * be larger than the MaximumLength).
459 * Instead of base 0 it uses 10 as base.
460 * If str is NULL it crashes, as the native function does.
463 * - Accept base 0 as 10 instead of crashing as native function does.
464 * - Do not return STATUS_BUFFER_OVERFLOW when the string is long enough.
465 * The native function does this when the string would be longer than 31
466 * characters even when the string parameter is long enough.
467 * - The native function does produce garbage or STATUS_BUFFER_OVERFLOW for
468 * base 2, 8 and 16 when the value is larger than 0xFFFFFFFF.
470 NTSTATUS WINAPI RtlInt64ToUnicodeString(
471 ULONGLONG value, /* [I] Value to be converted */
472 ULONG base, /* [I] Number base for conversion (allowed 0, 2, 8, 10 or 16) */
473 UNICODE_STRING *str) /* [O] Destination for the converted value */
481 } else if (base != 2 && base != 8 && base != 10 && base != 16) {
482 return STATUS_INVALID_PARAMETER;
490 digit = value % base;
491 value = value / base;
495 *pos = 'A' + digit - 10;
497 } while (value != 0L);
499 str->Length = (&buffer[64] - pos) * sizeof(WCHAR);
500 if (str->Length >= str->MaximumLength) {
501 return STATUS_BUFFER_OVERFLOW;
503 memcpy(str->Buffer, pos, str->Length + sizeof(WCHAR));
505 return STATUS_SUCCESS;
509 /******************************************************************************
512 * Divide two 64 bit unsigned integers.
515 * a [I] Initial number.
516 * b [I] Number to multiply a by.
519 * The dividend of a and b.
521 LONGLONG WINAPI _alldiv( LONGLONG a, LONGLONG b )
527 /******************************************************************************
530 * Multiply two 64 bit integers.
533 * a [I] Initial number.
534 * b [I] Number to multiply a by.
537 * The product of a and b.
539 LONGLONG WINAPI _allmul( LONGLONG a, LONGLONG b )
545 /******************************************************************************
548 * Calculate the remainder after dividing two 64 bit integers.
551 * a [I] Initial number.
552 * b [I] Number to divide a by.
555 * The remainder of a divided by b.
557 LONGLONG WINAPI _allrem( LONGLONG a, LONGLONG b )
563 /******************************************************************************
566 * Divide two 64 bit unsigned integers.
569 * a [I] Initial number.
570 * b [I] Number to multiply a by.
573 * The dividend of a and b.
575 ULONGLONG WINAPI _aulldiv( ULONGLONG a, ULONGLONG b )
581 /******************************************************************************
584 * Calculate the remainder after dividing two 64 bit unsigned integers.
587 * a [I] Initial number.
588 * b [I] Number to divide a by.
591 * The remainder of a divided by b.
593 ULONGLONG WINAPI _aullrem( ULONGLONG a, ULONGLONG b )