1 //===-- llvm/ADT/APInt.h - For Arbitrary Precision Integer -----*- C++ -*--===//
3 // The LLVM Compiler Infrastructure
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
8 //===----------------------------------------------------------------------===//
10 // This file implements a class to represent arbitrary precision integral
11 // constant values and operations on them.
13 //===----------------------------------------------------------------------===//
18 #include "llvm/Support/MathExtras.h"
27 class FoldingSetNodeID;
32 class SmallVectorImpl;
34 // An unsigned host type used as a single part of a multi-part
36 typedef uint64_t integerPart;
38 const unsigned int host_char_bit = 8;
39 const unsigned int integerPartWidth = host_char_bit *
40 static_cast<unsigned int>(sizeof(integerPart));
42 //===----------------------------------------------------------------------===//
44 //===----------------------------------------------------------------------===//
46 /// APInt - This class represents arbitrary precision constant integral values.
47 /// It is a functional replacement for common case unsigned integer type like
48 /// "unsigned", "unsigned long" or "uint64_t", but also allows non-byte-width
49 /// integer sizes and large integer value types such as 3-bits, 15-bits, or more
50 /// than 64-bits of precision. APInt provides a variety of arithmetic operators
51 /// and methods to manipulate integer values of any bit-width. It supports both
52 /// the typical integer arithmetic and comparison operations as well as bitwise
55 /// The class has several invariants worth noting:
56 /// * All bit, byte, and word positions are zero-based.
57 /// * Once the bit width is set, it doesn't change except by the Truncate,
58 /// SignExtend, or ZeroExtend operations.
59 /// * All binary operators must be on APInt instances of the same bit width.
60 /// Attempting to use these operators on instances with different bit
61 /// widths will yield an assertion.
62 /// * The value is stored canonically as an unsigned value. For operations
63 /// where it makes a difference, there are both signed and unsigned variants
64 /// of the operation. For example, sdiv and udiv. However, because the bit
65 /// widths must be the same, operations such as Mul and Add produce the same
66 /// results regardless of whether the values are interpreted as signed or
68 /// * In general, the class tries to follow the style of computation that LLVM
69 /// uses in its IR. This simplifies its use for LLVM.
71 /// @brief Class for arbitrary precision integers.
73 unsigned BitWidth; ///< The number of bits in this APInt.
75 /// This union is used to store the integer value. When the
76 /// integer bit-width <= 64, it uses VAL, otherwise it uses pVal.
78 uint64_t VAL; ///< Used to store the <= 64 bits integer value.
79 uint64_t *pVal; ///< Used to store the >64 bits integer value.
82 /// This enum is used to hold the constants we needed for APInt.
85 APINT_BITS_PER_WORD = static_cast<unsigned int>(sizeof(uint64_t)) *
87 /// Byte size of a word
88 APINT_WORD_SIZE = static_cast<unsigned int>(sizeof(uint64_t))
91 /// This constructor is used only internally for speed of construction of
92 /// temporaries. It is unsafe for general use so it is not public.
93 /// @brief Fast internal constructor
94 APInt(uint64_t* val, unsigned bits) : BitWidth(bits), pVal(val) { }
96 /// @returns true if the number of bits <= 64, false otherwise.
97 /// @brief Determine if this APInt just has one word to store value.
98 bool isSingleWord() const {
99 return BitWidth <= APINT_BITS_PER_WORD;
102 /// @returns the word position for the specified bit position.
103 /// @brief Determine which word a bit is in.
104 static unsigned whichWord(unsigned bitPosition) {
105 return bitPosition / APINT_BITS_PER_WORD;
108 /// @returns the bit position in a word for the specified bit position
110 /// @brief Determine which bit in a word a bit is in.
111 static unsigned whichBit(unsigned bitPosition) {
112 return bitPosition % APINT_BITS_PER_WORD;
115 /// This method generates and returns a uint64_t (word) mask for a single
116 /// bit at a specific bit position. This is used to mask the bit in the
117 /// corresponding word.
118 /// @returns a uint64_t with only bit at "whichBit(bitPosition)" set
119 /// @brief Get a single bit mask.
120 static uint64_t maskBit(unsigned bitPosition) {
121 return 1ULL << whichBit(bitPosition);
124 /// This method is used internally to clear the to "N" bits in the high order
125 /// word that are not used by the APInt. This is needed after the most
126 /// significant word is assigned a value to ensure that those bits are
128 /// @brief Clear unused high order bits
129 APInt& clearUnusedBits() {
130 // Compute how many bits are used in the final word
131 unsigned wordBits = BitWidth % APINT_BITS_PER_WORD;
133 // If all bits are used, we want to leave the value alone. This also
134 // avoids the undefined behavior of >> when the shift is the same size as
135 // the word size (64).
138 // Mask out the high bits.
139 uint64_t mask = ~uint64_t(0ULL) >> (APINT_BITS_PER_WORD - wordBits);
143 pVal[getNumWords() - 1] &= mask;
147 /// @returns the corresponding word for the specified bit position.
148 /// @brief Get the word corresponding to a bit position
149 uint64_t getWord(unsigned bitPosition) const {
150 return isSingleWord() ? VAL : pVal[whichWord(bitPosition)];
153 /// Converts a string into a number. The string must be non-empty
154 /// and well-formed as a number of the given base. The bit-width
155 /// must be sufficient to hold the result.
157 /// This is used by the constructors that take string arguments.
159 /// StringRef::getAsInteger is superficially similar but (1) does
160 /// not assume that the string is well-formed and (2) grows the
161 /// result to hold the input.
163 /// @param radix 2, 8, 10, or 16
164 /// @brief Convert a char array into an APInt
165 void fromString(unsigned numBits, StringRef str, uint8_t radix);
167 /// This is used by the toString method to divide by the radix. It simply
168 /// provides a more convenient form of divide for internal use since KnuthDiv
169 /// has specific constraints on its inputs. If those constraints are not met
170 /// then it provides a simpler form of divide.
171 /// @brief An internal division function for dividing APInts.
172 static void divide(const APInt LHS, unsigned lhsWords,
173 const APInt &RHS, unsigned rhsWords,
174 APInt *Quotient, APInt *Remainder);
176 /// out-of-line slow case for inline constructor
177 void initSlowCase(unsigned numBits, uint64_t val, bool isSigned);
179 /// out-of-line slow case for inline copy constructor
180 void initSlowCase(const APInt& that);
182 /// out-of-line slow case for shl
183 APInt shlSlowCase(unsigned shiftAmt) const;
185 /// out-of-line slow case for operator&
186 APInt AndSlowCase(const APInt& RHS) const;
188 /// out-of-line slow case for operator|
189 APInt OrSlowCase(const APInt& RHS) const;
191 /// out-of-line slow case for operator^
192 APInt XorSlowCase(const APInt& RHS) const;
194 /// out-of-line slow case for operator=
195 APInt& AssignSlowCase(const APInt& RHS);
197 /// out-of-line slow case for operator==
198 bool EqualSlowCase(const APInt& RHS) const;
200 /// out-of-line slow case for operator==
201 bool EqualSlowCase(uint64_t Val) const;
203 /// out-of-line slow case for countLeadingZeros
204 unsigned countLeadingZerosSlowCase() const;
206 /// out-of-line slow case for countTrailingOnes
207 unsigned countTrailingOnesSlowCase() const;
209 /// out-of-line slow case for countPopulation
210 unsigned countPopulationSlowCase() const;
213 /// @name Constructors
215 /// If isSigned is true then val is treated as if it were a signed value
216 /// (i.e. as an int64_t) and the appropriate sign extension to the bit width
217 /// will be done. Otherwise, no sign extension occurs (high order bits beyond
218 /// the range of val are zero filled).
219 /// @param numBits the bit width of the constructed APInt
220 /// @param val the initial value of the APInt
221 /// @param isSigned how to treat signedness of val
222 /// @brief Create a new APInt of numBits width, initialized as val.
223 APInt(unsigned numBits, uint64_t val, bool isSigned = false)
224 : BitWidth(numBits), VAL(0) {
225 assert(BitWidth && "bitwidth too small");
229 initSlowCase(numBits, val, isSigned);
233 /// Note that numWords can be smaller or larger than the corresponding bit
234 /// width but any extraneous bits will be dropped.
235 /// @param numBits the bit width of the constructed APInt
236 /// @param numWords the number of words in bigVal
237 /// @param bigVal a sequence of words to form the initial value of the APInt
238 /// @brief Construct an APInt of numBits width, initialized as bigVal[].
239 APInt(unsigned numBits, unsigned numWords, const uint64_t bigVal[]);
241 /// This constructor interprets the string \arg str in the given radix. The
242 /// interpretation stops when the first character that is not suitable for the
243 /// radix is encountered, or the end of the string. Acceptable radix values
244 /// are 2, 8, 10 and 16. It is an error for the value implied by the string to
245 /// require more bits than numBits.
247 /// @param numBits the bit width of the constructed APInt
248 /// @param str the string to be interpreted
249 /// @param radix the radix to use for the conversion
250 /// @brief Construct an APInt from a string representation.
251 APInt(unsigned numBits, StringRef str, uint8_t radix);
253 /// Simply makes *this a copy of that.
254 /// @brief Copy Constructor.
255 APInt(const APInt& that)
256 : BitWidth(that.BitWidth), VAL(0) {
257 assert(BitWidth && "bitwidth too small");
264 /// @brief Destructor.
270 /// Default constructor that creates an uninitialized APInt. This is useful
271 /// for object deserialization (pair this with the static method Read).
272 explicit APInt() : BitWidth(1) {}
274 /// Profile - Used to insert APInt objects, or objects that contain APInt
275 /// objects, into FoldingSets.
276 void Profile(FoldingSetNodeID& id) const;
279 /// @name Value Tests
281 /// This tests the high bit of this APInt to determine if it is set.
282 /// @returns true if this APInt is negative, false otherwise
283 /// @brief Determine sign of this APInt.
284 bool isNegative() const {
285 return (*this)[BitWidth - 1];
288 /// This tests the high bit of the APInt to determine if it is unset.
289 /// @brief Determine if this APInt Value is non-negative (>= 0)
290 bool isNonNegative() const {
291 return !isNegative();
294 /// This tests if the value of this APInt is positive (> 0). Note
295 /// that 0 is not a positive value.
296 /// @returns true if this APInt is positive.
297 /// @brief Determine if this APInt Value is positive.
298 bool isStrictlyPositive() const {
299 return isNonNegative() && !!*this;
302 /// This checks to see if the value has all bits of the APInt are set or not.
303 /// @brief Determine if all bits are set
304 bool isAllOnesValue() const {
305 return countPopulation() == BitWidth;
308 /// This checks to see if the value of this APInt is the maximum unsigned
309 /// value for the APInt's bit width.
310 /// @brief Determine if this is the largest unsigned value.
311 bool isMaxValue() const {
312 return countPopulation() == BitWidth;
315 /// This checks to see if the value of this APInt is the maximum signed
316 /// value for the APInt's bit width.
317 /// @brief Determine if this is the largest signed value.
318 bool isMaxSignedValue() const {
319 return BitWidth == 1 ? VAL == 0 :
320 !isNegative() && countPopulation() == BitWidth - 1;
323 /// This checks to see if the value of this APInt is the minimum unsigned
324 /// value for the APInt's bit width.
325 /// @brief Determine if this is the smallest unsigned value.
326 bool isMinValue() const {
330 /// This checks to see if the value of this APInt is the minimum signed
331 /// value for the APInt's bit width.
332 /// @brief Determine if this is the smallest signed value.
333 bool isMinSignedValue() const {
334 return BitWidth == 1 ? VAL == 1 : isNegative() && isPowerOf2();
337 /// @brief Check if this APInt has an N-bits unsigned integer value.
338 bool isIntN(unsigned N) const {
339 assert(N && "N == 0 ???");
340 if (N >= getBitWidth())
344 return isUIntN(N, VAL);
345 APInt Tmp(N, getNumWords(), pVal);
346 Tmp.zext(getBitWidth());
347 return Tmp == (*this);
350 /// @brief Check if this APInt has an N-bits signed integer value.
351 bool isSignedIntN(unsigned N) const {
352 assert(N && "N == 0 ???");
353 return getMinSignedBits() <= N;
356 /// @returns true if the argument APInt value is a power of two > 0.
357 bool isPowerOf2() const {
359 return isPowerOf2_64(VAL);
360 return countPopulationSlowCase() == 1;
363 /// isSignBit - Return true if this is the value returned by getSignBit.
364 bool isSignBit() const { return isMinSignedValue(); }
366 /// This converts the APInt to a boolean value as a test against zero.
367 /// @brief Boolean conversion function.
368 bool getBoolValue() const {
372 /// getLimitedValue - If this value is smaller than the specified limit,
373 /// return it, otherwise return the limit value. This causes the value
374 /// to saturate to the limit.
375 uint64_t getLimitedValue(uint64_t Limit = ~0ULL) const {
376 return (getActiveBits() > 64 || getZExtValue() > Limit) ?
377 Limit : getZExtValue();
381 /// @name Value Generators
383 /// @brief Gets maximum unsigned value of APInt for specific bit width.
384 static APInt getMaxValue(unsigned numBits) {
385 return getAllOnesValue(numBits);
388 /// @brief Gets maximum signed value of APInt for a specific bit width.
389 static APInt getSignedMaxValue(unsigned numBits) {
390 APInt API = getAllOnesValue(numBits);
391 API.clearBit(numBits - 1);
395 /// @brief Gets minimum unsigned value of APInt for a specific bit width.
396 static APInt getMinValue(unsigned numBits) {
397 return APInt(numBits, 0);
400 /// @brief Gets minimum signed value of APInt for a specific bit width.
401 static APInt getSignedMinValue(unsigned numBits) {
402 APInt API(numBits, 0);
403 API.setBit(numBits - 1);
407 /// getSignBit - This is just a wrapper function of getSignedMinValue(), and
408 /// it helps code readability when we want to get a SignBit.
409 /// @brief Get the SignBit for a specific bit width.
410 static APInt getSignBit(unsigned BitWidth) {
411 return getSignedMinValue(BitWidth);
414 /// @returns the all-ones value for an APInt of the specified bit-width.
415 /// @brief Get the all-ones value.
416 static APInt getAllOnesValue(unsigned numBits) {
417 return APInt(numBits, -1ULL, true);
420 /// @returns the '0' value for an APInt of the specified bit-width.
421 /// @brief Get the '0' value.
422 static APInt getNullValue(unsigned numBits) {
423 return APInt(numBits, 0);
426 /// Get an APInt with the same BitWidth as this APInt, just zero mask
427 /// the low bits and right shift to the least significant bit.
428 /// @returns the high "numBits" bits of this APInt.
429 APInt getHiBits(unsigned numBits) const;
431 /// Get an APInt with the same BitWidth as this APInt, just zero mask
433 /// @returns the low "numBits" bits of this APInt.
434 APInt getLoBits(unsigned numBits) const;
436 /// Constructs an APInt value that has a contiguous range of bits set. The
437 /// bits from loBit (inclusive) to hiBit (exclusive) will be set. All other
438 /// bits will be zero. For example, with parameters(32, 0, 16) you would get
439 /// 0x0000FFFF. If hiBit is less than loBit then the set bits "wrap". For
440 /// example, with parameters (32, 28, 4), you would get 0xF000000F.
441 /// @param numBits the intended bit width of the result
442 /// @param loBit the index of the lowest bit set.
443 /// @param hiBit the index of the highest bit set.
444 /// @returns An APInt value with the requested bits set.
445 /// @brief Get a value with a block of bits set.
446 static APInt getBitsSet(unsigned numBits, unsigned loBit, unsigned hiBit) {
447 assert(hiBit <= numBits && "hiBit out of range");
448 assert(loBit < numBits && "loBit out of range");
450 return getLowBitsSet(numBits, hiBit) |
451 getHighBitsSet(numBits, numBits-loBit);
452 return getLowBitsSet(numBits, hiBit-loBit).shl(loBit);
455 /// Constructs an APInt value that has the top hiBitsSet bits set.
456 /// @param numBits the bitwidth of the result
457 /// @param hiBitsSet the number of high-order bits set in the result.
458 /// @brief Get a value with high bits set
459 static APInt getHighBitsSet(unsigned numBits, unsigned hiBitsSet) {
460 assert(hiBitsSet <= numBits && "Too many bits to set!");
461 // Handle a degenerate case, to avoid shifting by word size
463 return APInt(numBits, 0);
464 unsigned shiftAmt = numBits - hiBitsSet;
465 // For small values, return quickly
466 if (numBits <= APINT_BITS_PER_WORD)
467 return APInt(numBits, ~0ULL << shiftAmt);
468 return getAllOnesValue(numBits).shl(shiftAmt);
471 /// Constructs an APInt value that has the bottom loBitsSet bits set.
472 /// @param numBits the bitwidth of the result
473 /// @param loBitsSet the number of low-order bits set in the result.
474 /// @brief Get a value with low bits set
475 static APInt getLowBitsSet(unsigned numBits, unsigned loBitsSet) {
476 assert(loBitsSet <= numBits && "Too many bits to set!");
477 // Handle a degenerate case, to avoid shifting by word size
479 return APInt(numBits, 0);
480 if (loBitsSet == APINT_BITS_PER_WORD)
481 return APInt(numBits, -1ULL);
482 // For small values, return quickly.
483 if (numBits < APINT_BITS_PER_WORD)
484 return APInt(numBits, (1ULL << loBitsSet) - 1);
485 return getAllOnesValue(numBits).lshr(numBits - loBitsSet);
488 /// The hash value is computed as the sum of the words and the bit width.
489 /// @returns A hash value computed from the sum of the APInt words.
490 /// @brief Get a hash value based on this APInt
491 uint64_t getHashValue() const;
493 /// This function returns a pointer to the internal storage of the APInt.
494 /// This is useful for writing out the APInt in binary form without any
496 const uint64_t* getRawData() const {
503 /// @name Unary Operators
505 /// @returns a new APInt value representing *this incremented by one
506 /// @brief Postfix increment operator.
507 const APInt operator++(int) {
513 /// @returns *this incremented by one
514 /// @brief Prefix increment operator.
517 /// @returns a new APInt representing *this decremented by one.
518 /// @brief Postfix decrement operator.
519 const APInt operator--(int) {
525 /// @returns *this decremented by one.
526 /// @brief Prefix decrement operator.
529 /// Performs a bitwise complement operation on this APInt.
530 /// @returns an APInt that is the bitwise complement of *this
531 /// @brief Unary bitwise complement operator.
532 APInt operator~() const {
534 Result.flipAllBits();
538 /// Negates *this using two's complement logic.
539 /// @returns An APInt value representing the negation of *this.
540 /// @brief Unary negation operator
541 APInt operator-() const {
542 return APInt(BitWidth, 0) - (*this);
545 /// Performs logical negation operation on this APInt.
546 /// @returns true if *this is zero, false otherwise.
547 /// @brief Logical negation operator.
548 bool operator!() const;
551 /// @name Assignment Operators
553 /// @returns *this after assignment of RHS.
554 /// @brief Copy assignment operator.
555 APInt& operator=(const APInt& RHS) {
556 // If the bitwidths are the same, we can avoid mucking with memory
557 if (isSingleWord() && RHS.isSingleWord()) {
559 BitWidth = RHS.BitWidth;
560 return clearUnusedBits();
563 return AssignSlowCase(RHS);
566 /// The RHS value is assigned to *this. If the significant bits in RHS exceed
567 /// the bit width, the excess bits are truncated. If the bit width is larger
568 /// than 64, the value is zero filled in the unspecified high order bits.
569 /// @returns *this after assignment of RHS value.
570 /// @brief Assignment operator.
571 APInt& operator=(uint64_t RHS);
573 /// Performs a bitwise AND operation on this APInt and RHS. The result is
574 /// assigned to *this.
575 /// @returns *this after ANDing with RHS.
576 /// @brief Bitwise AND assignment operator.
577 APInt& operator&=(const APInt& RHS);
579 /// Performs a bitwise OR operation on this APInt and RHS. The result is
581 /// @returns *this after ORing with RHS.
582 /// @brief Bitwise OR assignment operator.
583 APInt& operator|=(const APInt& RHS);
585 /// Performs a bitwise OR operation on this APInt and RHS. RHS is
586 /// logically zero-extended or truncated to match the bit-width of
589 /// @brief Bitwise OR assignment operator.
590 APInt& operator|=(uint64_t RHS) {
591 if (isSingleWord()) {
600 /// Performs a bitwise XOR operation on this APInt and RHS. The result is
601 /// assigned to *this.
602 /// @returns *this after XORing with RHS.
603 /// @brief Bitwise XOR assignment operator.
604 APInt& operator^=(const APInt& RHS);
606 /// Multiplies this APInt by RHS and assigns the result to *this.
608 /// @brief Multiplication assignment operator.
609 APInt& operator*=(const APInt& RHS);
611 /// Adds RHS to *this and assigns the result to *this.
613 /// @brief Addition assignment operator.
614 APInt& operator+=(const APInt& RHS);
616 /// Subtracts RHS from *this and assigns the result to *this.
618 /// @brief Subtraction assignment operator.
619 APInt& operator-=(const APInt& RHS);
621 /// Shifts *this left by shiftAmt and assigns the result to *this.
622 /// @returns *this after shifting left by shiftAmt
623 /// @brief Left-shift assignment function.
624 APInt& operator<<=(unsigned shiftAmt) {
625 *this = shl(shiftAmt);
630 /// @name Binary Operators
632 /// Performs a bitwise AND operation on *this and RHS.
633 /// @returns An APInt value representing the bitwise AND of *this and RHS.
634 /// @brief Bitwise AND operator.
635 APInt operator&(const APInt& RHS) const {
636 assert(BitWidth == RHS.BitWidth && "Bit widths must be the same");
638 return APInt(getBitWidth(), VAL & RHS.VAL);
639 return AndSlowCase(RHS);
641 APInt And(const APInt& RHS) const {
642 return this->operator&(RHS);
645 /// Performs a bitwise OR operation on *this and RHS.
646 /// @returns An APInt value representing the bitwise OR of *this and RHS.
647 /// @brief Bitwise OR operator.
648 APInt operator|(const APInt& RHS) const {
649 assert(BitWidth == RHS.BitWidth && "Bit widths must be the same");
651 return APInt(getBitWidth(), VAL | RHS.VAL);
652 return OrSlowCase(RHS);
654 APInt Or(const APInt& RHS) const {
655 return this->operator|(RHS);
658 /// Performs a bitwise XOR operation on *this and RHS.
659 /// @returns An APInt value representing the bitwise XOR of *this and RHS.
660 /// @brief Bitwise XOR operator.
661 APInt operator^(const APInt& RHS) const {
662 assert(BitWidth == RHS.BitWidth && "Bit widths must be the same");
664 return APInt(BitWidth, VAL ^ RHS.VAL);
665 return XorSlowCase(RHS);
667 APInt Xor(const APInt& RHS) const {
668 return this->operator^(RHS);
671 /// Multiplies this APInt by RHS and returns the result.
672 /// @brief Multiplication operator.
673 APInt operator*(const APInt& RHS) const;
675 /// Adds RHS to this APInt and returns the result.
676 /// @brief Addition operator.
677 APInt operator+(const APInt& RHS) const;
678 APInt operator+(uint64_t RHS) const {
679 return (*this) + APInt(BitWidth, RHS);
682 /// Subtracts RHS from this APInt and returns the result.
683 /// @brief Subtraction operator.
684 APInt operator-(const APInt& RHS) const;
685 APInt operator-(uint64_t RHS) const {
686 return (*this) - APInt(BitWidth, RHS);
689 APInt operator<<(unsigned Bits) const {
693 APInt operator<<(const APInt &Bits) const {
697 /// Arithmetic right-shift this APInt by shiftAmt.
698 /// @brief Arithmetic right-shift function.
699 APInt ashr(unsigned shiftAmt) const;
701 /// Logical right-shift this APInt by shiftAmt.
702 /// @brief Logical right-shift function.
703 APInt lshr(unsigned shiftAmt) const;
705 /// Left-shift this APInt by shiftAmt.
706 /// @brief Left-shift function.
707 APInt shl(unsigned shiftAmt) const {
708 assert(shiftAmt <= BitWidth && "Invalid shift amount");
709 if (isSingleWord()) {
710 if (shiftAmt == BitWidth)
711 return APInt(BitWidth, 0); // avoid undefined shift results
712 return APInt(BitWidth, VAL << shiftAmt);
714 return shlSlowCase(shiftAmt);
717 /// @brief Rotate left by rotateAmt.
718 APInt rotl(unsigned rotateAmt) const;
720 /// @brief Rotate right by rotateAmt.
721 APInt rotr(unsigned rotateAmt) const;
723 /// Arithmetic right-shift this APInt by shiftAmt.
724 /// @brief Arithmetic right-shift function.
725 APInt ashr(const APInt &shiftAmt) const;
727 /// Logical right-shift this APInt by shiftAmt.
728 /// @brief Logical right-shift function.
729 APInt lshr(const APInt &shiftAmt) const;
731 /// Left-shift this APInt by shiftAmt.
732 /// @brief Left-shift function.
733 APInt shl(const APInt &shiftAmt) const;
735 /// @brief Rotate left by rotateAmt.
736 APInt rotl(const APInt &rotateAmt) const;
738 /// @brief Rotate right by rotateAmt.
739 APInt rotr(const APInt &rotateAmt) const;
741 /// Perform an unsigned divide operation on this APInt by RHS. Both this and
742 /// RHS are treated as unsigned quantities for purposes of this division.
743 /// @returns a new APInt value containing the division result
744 /// @brief Unsigned division operation.
745 APInt udiv(const APInt &RHS) const;
747 /// Signed divide this APInt by APInt RHS.
748 /// @brief Signed division function for APInt.
749 APInt sdiv(const APInt &RHS) const {
751 if (RHS.isNegative())
752 return (-(*this)).udiv(-RHS);
754 return -((-(*this)).udiv(RHS));
755 else if (RHS.isNegative())
756 return -(this->udiv(-RHS));
757 return this->udiv(RHS);
760 /// Perform an unsigned remainder operation on this APInt with RHS being the
761 /// divisor. Both this and RHS are treated as unsigned quantities for purposes
762 /// of this operation. Note that this is a true remainder operation and not
763 /// a modulo operation because the sign follows the sign of the dividend
765 /// @returns a new APInt value containing the remainder result
766 /// @brief Unsigned remainder operation.
767 APInt urem(const APInt &RHS) const;
769 /// Signed remainder operation on APInt.
770 /// @brief Function for signed remainder operation.
771 APInt srem(const APInt &RHS) const {
773 if (RHS.isNegative())
774 return -((-(*this)).urem(-RHS));
776 return -((-(*this)).urem(RHS));
777 else if (RHS.isNegative())
778 return this->urem(-RHS);
779 return this->urem(RHS);
782 /// Sometimes it is convenient to divide two APInt values and obtain both the
783 /// quotient and remainder. This function does both operations in the same
784 /// computation making it a little more efficient. The pair of input arguments
785 /// may overlap with the pair of output arguments. It is safe to call
786 /// udivrem(X, Y, X, Y), for example.
787 /// @brief Dual division/remainder interface.
788 static void udivrem(const APInt &LHS, const APInt &RHS,
789 APInt &Quotient, APInt &Remainder);
791 static void sdivrem(const APInt &LHS, const APInt &RHS,
792 APInt &Quotient, APInt &Remainder) {
793 if (LHS.isNegative()) {
794 if (RHS.isNegative())
795 APInt::udivrem(-LHS, -RHS, Quotient, Remainder);
797 APInt::udivrem(-LHS, RHS, Quotient, Remainder);
798 Quotient = -Quotient;
799 Remainder = -Remainder;
800 } else if (RHS.isNegative()) {
801 APInt::udivrem(LHS, -RHS, Quotient, Remainder);
802 Quotient = -Quotient;
804 APInt::udivrem(LHS, RHS, Quotient, Remainder);
809 // Operations that return overflow indicators.
810 APInt sadd_ov(const APInt &RHS, bool &Overflow) const;
811 APInt uadd_ov(const APInt &RHS, bool &Overflow) const;
812 APInt ssub_ov(const APInt &RHS, bool &Overflow) const;
813 APInt usub_ov(const APInt &RHS, bool &Overflow) const;
814 APInt sdiv_ov(const APInt &RHS, bool &Overflow) const;
815 APInt smul_ov(const APInt &RHS, bool &Overflow) const;
816 APInt sshl_ov(unsigned Amt, bool &Overflow) const;
818 /// @returns the bit value at bitPosition
819 /// @brief Array-indexing support.
820 bool operator[](unsigned bitPosition) const;
823 /// @name Comparison Operators
825 /// Compares this APInt with RHS for the validity of the equality
827 /// @brief Equality operator.
828 bool operator==(const APInt& RHS) const {
829 assert(BitWidth == RHS.BitWidth && "Comparison requires equal bit widths");
831 return VAL == RHS.VAL;
832 return EqualSlowCase(RHS);
835 /// Compares this APInt with a uint64_t for the validity of the equality
837 /// @returns true if *this == Val
838 /// @brief Equality operator.
839 bool operator==(uint64_t Val) const {
842 return EqualSlowCase(Val);
845 /// Compares this APInt with RHS for the validity of the equality
847 /// @returns true if *this == Val
848 /// @brief Equality comparison.
849 bool eq(const APInt &RHS) const {
850 return (*this) == RHS;
853 /// Compares this APInt with RHS for the validity of the inequality
855 /// @returns true if *this != Val
856 /// @brief Inequality operator.
857 bool operator!=(const APInt& RHS) const {
858 return !((*this) == RHS);
861 /// Compares this APInt with a uint64_t for the validity of the inequality
863 /// @returns true if *this != Val
864 /// @brief Inequality operator.
865 bool operator!=(uint64_t Val) const {
866 return !((*this) == Val);
869 /// Compares this APInt with RHS for the validity of the inequality
871 /// @returns true if *this != Val
872 /// @brief Inequality comparison
873 bool ne(const APInt &RHS) const {
874 return !((*this) == RHS);
877 /// Regards both *this and RHS as unsigned quantities and compares them for
878 /// the validity of the less-than relationship.
879 /// @returns true if *this < RHS when both are considered unsigned.
880 /// @brief Unsigned less than comparison
881 bool ult(const APInt &RHS) const;
883 /// Regards both *this as an unsigned quantity and compares it with RHS for
884 /// the validity of the less-than relationship.
885 /// @returns true if *this < RHS when considered unsigned.
886 /// @brief Unsigned less than comparison
887 bool ult(uint64_t RHS) const {
888 return ult(APInt(getBitWidth(), RHS));
891 /// Regards both *this and RHS as signed quantities and compares them for
892 /// validity of the less-than relationship.
893 /// @returns true if *this < RHS when both are considered signed.
894 /// @brief Signed less than comparison
895 bool slt(const APInt& RHS) const;
897 /// Regards both *this as a signed quantity and compares it with RHS for
898 /// the validity of the less-than relationship.
899 /// @returns true if *this < RHS when considered signed.
900 /// @brief Signed less than comparison
901 bool slt(uint64_t RHS) const {
902 return slt(APInt(getBitWidth(), RHS));
905 /// Regards both *this and RHS as unsigned quantities and compares them for
906 /// validity of the less-or-equal relationship.
907 /// @returns true if *this <= RHS when both are considered unsigned.
908 /// @brief Unsigned less or equal comparison
909 bool ule(const APInt& RHS) const {
910 return ult(RHS) || eq(RHS);
913 /// Regards both *this as an unsigned quantity and compares it with RHS for
914 /// the validity of the less-or-equal relationship.
915 /// @returns true if *this <= RHS when considered unsigned.
916 /// @brief Unsigned less or equal comparison
917 bool ule(uint64_t RHS) const {
918 return ule(APInt(getBitWidth(), RHS));
921 /// Regards both *this and RHS as signed quantities and compares them for
922 /// validity of the less-or-equal relationship.
923 /// @returns true if *this <= RHS when both are considered signed.
924 /// @brief Signed less or equal comparison
925 bool sle(const APInt& RHS) const {
926 return slt(RHS) || eq(RHS);
929 /// Regards both *this as a signed quantity and compares it with RHS for
930 /// the validity of the less-or-equal relationship.
931 /// @returns true if *this <= RHS when considered signed.
932 /// @brief Signed less or equal comparison
933 bool sle(uint64_t RHS) const {
934 return sle(APInt(getBitWidth(), RHS));
937 /// Regards both *this and RHS as unsigned quantities and compares them for
938 /// the validity of the greater-than relationship.
939 /// @returns true if *this > RHS when both are considered unsigned.
940 /// @brief Unsigned greather than comparison
941 bool ugt(const APInt& RHS) const {
942 return !ult(RHS) && !eq(RHS);
945 /// Regards both *this as an unsigned quantity and compares it with RHS for
946 /// the validity of the greater-than relationship.
947 /// @returns true if *this > RHS when considered unsigned.
948 /// @brief Unsigned greater than comparison
949 bool ugt(uint64_t RHS) const {
950 return ugt(APInt(getBitWidth(), RHS));
953 /// Regards both *this and RHS as signed quantities and compares them for
954 /// the validity of the greater-than relationship.
955 /// @returns true if *this > RHS when both are considered signed.
956 /// @brief Signed greather than comparison
957 bool sgt(const APInt& RHS) const {
958 return !slt(RHS) && !eq(RHS);
961 /// Regards both *this as a signed quantity and compares it with RHS for
962 /// the validity of the greater-than relationship.
963 /// @returns true if *this > RHS when considered signed.
964 /// @brief Signed greater than comparison
965 bool sgt(uint64_t RHS) const {
966 return sgt(APInt(getBitWidth(), RHS));
969 /// Regards both *this and RHS as unsigned quantities and compares them for
970 /// validity of the greater-or-equal relationship.
971 /// @returns true if *this >= RHS when both are considered unsigned.
972 /// @brief Unsigned greater or equal comparison
973 bool uge(const APInt& RHS) const {
977 /// Regards both *this as an unsigned quantity and compares it with RHS for
978 /// the validity of the greater-or-equal relationship.
979 /// @returns true if *this >= RHS when considered unsigned.
980 /// @brief Unsigned greater or equal comparison
981 bool uge(uint64_t RHS) const {
982 return uge(APInt(getBitWidth(), RHS));
985 /// Regards both *this and RHS as signed quantities and compares them for
986 /// validity of the greater-or-equal relationship.
987 /// @returns true if *this >= RHS when both are considered signed.
988 /// @brief Signed greather or equal comparison
989 bool sge(const APInt& RHS) const {
993 /// Regards both *this as a signed quantity and compares it with RHS for
994 /// the validity of the greater-or-equal relationship.
995 /// @returns true if *this >= RHS when considered signed.
996 /// @brief Signed greater or equal comparison
997 bool sge(uint64_t RHS) const {
998 return sge(APInt(getBitWidth(), RHS));
1004 /// This operation tests if there are any pairs of corresponding bits
1005 /// between this APInt and RHS that are both set.
1006 bool intersects(const APInt &RHS) const {
1007 return (*this & RHS) != 0;
1011 /// @name Resizing Operators
1013 /// Truncate the APInt to a specified width. It is an error to specify a width
1014 /// that is greater than or equal to the current width.
1015 /// @brief Truncate to new width.
1016 APInt &trunc(unsigned width);
1018 /// This operation sign extends the APInt to a new width. If the high order
1019 /// bit is set, the fill on the left will be done with 1 bits, otherwise zero.
1020 /// It is an error to specify a width that is less than or equal to the
1022 /// @brief Sign extend to a new width.
1023 APInt &sext(unsigned width);
1025 /// This operation zero extends the APInt to a new width. The high order bits
1026 /// are filled with 0 bits. It is an error to specify a width that is less
1027 /// than or equal to the current width.
1028 /// @brief Zero extend to a new width.
1029 APInt &zext(unsigned width);
1031 /// Make this APInt have the bit width given by \p width. The value is sign
1032 /// extended, truncated, or left alone to make it that width.
1033 /// @brief Sign extend or truncate to width
1034 APInt &sextOrTrunc(unsigned width);
1036 /// Make this APInt have the bit width given by \p width. The value is zero
1037 /// extended, truncated, or left alone to make it that width.
1038 /// @brief Zero extend or truncate to width
1039 APInt &zextOrTrunc(unsigned width);
1042 /// @name Bit Manipulation Operators
1044 /// @brief Set every bit to 1.
1049 // Set all the bits in all the words.
1050 for (unsigned i = 0; i < getNumWords(); ++i)
1053 // Clear the unused ones
1057 /// Set the given bit to 1 whose position is given as "bitPosition".
1058 /// @brief Set a given bit to 1.
1059 void setBit(unsigned bitPosition);
1061 /// @brief Set every bit to 0.
1062 void clearAllBits() {
1066 memset(pVal, 0, getNumWords() * APINT_WORD_SIZE);
1069 /// Set the given bit to 0 whose position is given as "bitPosition".
1070 /// @brief Set a given bit to 0.
1071 void clearBit(unsigned bitPosition);
1073 /// @brief Toggle every bit to its opposite value.
1074 void flipAllBits() {
1078 for (unsigned i = 0; i < getNumWords(); ++i)
1084 /// Toggle a given bit to its opposite value whose position is given
1085 /// as "bitPosition".
1086 /// @brief Toggles a given bit to its opposite value.
1087 void flipBit(unsigned bitPosition);
1090 /// @name Value Characterization Functions
1093 /// @returns the total number of bits.
1094 unsigned getBitWidth() const {
1098 /// Here one word's bitwidth equals to that of uint64_t.
1099 /// @returns the number of words to hold the integer value of this APInt.
1100 /// @brief Get the number of words.
1101 unsigned getNumWords() const {
1102 return getNumWords(BitWidth);
1105 /// Here one word's bitwidth equals to that of uint64_t.
1106 /// @returns the number of words to hold the integer value with a
1107 /// given bit width.
1108 /// @brief Get the number of words.
1109 static unsigned getNumWords(unsigned BitWidth) {
1110 return (BitWidth + APINT_BITS_PER_WORD - 1) / APINT_BITS_PER_WORD;
1113 /// This function returns the number of active bits which is defined as the
1114 /// bit width minus the number of leading zeros. This is used in several
1115 /// computations to see how "wide" the value is.
1116 /// @brief Compute the number of active bits in the value
1117 unsigned getActiveBits() const {
1118 return BitWidth - countLeadingZeros();
1121 /// This function returns the number of active words in the value of this
1122 /// APInt. This is used in conjunction with getActiveData to extract the raw
1123 /// value of the APInt.
1124 unsigned getActiveWords() const {
1125 return whichWord(getActiveBits()-1) + 1;
1128 /// Computes the minimum bit width for this APInt while considering it to be
1129 /// a signed (and probably negative) value. If the value is not negative,
1130 /// this function returns the same value as getActiveBits()+1. Otherwise, it
1131 /// returns the smallest bit width that will retain the negative value. For
1132 /// example, -1 can be written as 0b1 or 0xFFFFFFFFFF. 0b1 is shorter and so
1133 /// for -1, this function will always return 1.
1134 /// @brief Get the minimum bit size for this signed APInt
1135 unsigned getMinSignedBits() const {
1137 return BitWidth - countLeadingOnes() + 1;
1138 return getActiveBits()+1;
1141 /// This method attempts to return the value of this APInt as a zero extended
1142 /// uint64_t. The bitwidth must be <= 64 or the value must fit within a
1143 /// uint64_t. Otherwise an assertion will result.
1144 /// @brief Get zero extended value
1145 uint64_t getZExtValue() const {
1148 assert(getActiveBits() <= 64 && "Too many bits for uint64_t");
1152 /// This method attempts to return the value of this APInt as a sign extended
1153 /// int64_t. The bit width must be <= 64 or the value must fit within an
1154 /// int64_t. Otherwise an assertion will result.
1155 /// @brief Get sign extended value
1156 int64_t getSExtValue() const {
1158 return int64_t(VAL << (APINT_BITS_PER_WORD - BitWidth)) >>
1159 (APINT_BITS_PER_WORD - BitWidth);
1160 assert(getMinSignedBits() <= 64 && "Too many bits for int64_t");
1161 return int64_t(pVal[0]);
1164 /// This method determines how many bits are required to hold the APInt
1165 /// equivalent of the string given by \arg str.
1166 /// @brief Get bits required for string value.
1167 static unsigned getBitsNeeded(StringRef str, uint8_t radix);
1169 /// countLeadingZeros - This function is an APInt version of the
1170 /// countLeadingZeros_{32,64} functions in MathExtras.h. It counts the number
1171 /// of zeros from the most significant bit to the first one bit.
1172 /// @returns BitWidth if the value is zero.
1173 /// @returns the number of zeros from the most significant bit to the first
1175 unsigned countLeadingZeros() const {
1176 if (isSingleWord()) {
1177 unsigned unusedBits = APINT_BITS_PER_WORD - BitWidth;
1178 return CountLeadingZeros_64(VAL) - unusedBits;
1180 return countLeadingZerosSlowCase();
1183 /// countLeadingOnes - This function is an APInt version of the
1184 /// countLeadingOnes_{32,64} functions in MathExtras.h. It counts the number
1185 /// of ones from the most significant bit to the first zero bit.
1186 /// @returns 0 if the high order bit is not set
1187 /// @returns the number of 1 bits from the most significant to the least
1188 /// @brief Count the number of leading one bits.
1189 unsigned countLeadingOnes() const;
1191 /// countTrailingZeros - This function is an APInt version of the
1192 /// countTrailingZeros_{32,64} functions in MathExtras.h. It counts
1193 /// the number of zeros from the least significant bit to the first set bit.
1194 /// @returns BitWidth if the value is zero.
1195 /// @returns the number of zeros from the least significant bit to the first
1197 /// @brief Count the number of trailing zero bits.
1198 unsigned countTrailingZeros() const;
1200 /// countTrailingOnes - This function is an APInt version of the
1201 /// countTrailingOnes_{32,64} functions in MathExtras.h. It counts
1202 /// the number of ones from the least significant bit to the first zero bit.
1203 /// @returns BitWidth if the value is all ones.
1204 /// @returns the number of ones from the least significant bit to the first
1206 /// @brief Count the number of trailing one bits.
1207 unsigned countTrailingOnes() const {
1209 return CountTrailingOnes_64(VAL);
1210 return countTrailingOnesSlowCase();
1213 /// countPopulation - This function is an APInt version of the
1214 /// countPopulation_{32,64} functions in MathExtras.h. It counts the number
1215 /// of 1 bits in the APInt value.
1216 /// @returns 0 if the value is zero.
1217 /// @returns the number of set bits.
1218 /// @brief Count the number of bits set.
1219 unsigned countPopulation() const {
1221 return CountPopulation_64(VAL);
1222 return countPopulationSlowCase();
1226 /// @name Conversion Functions
1228 void print(raw_ostream &OS, bool isSigned) const;
1230 /// toString - Converts an APInt to a string and append it to Str. Str is
1231 /// commonly a SmallString.
1232 void toString(SmallVectorImpl<char> &Str, unsigned Radix, bool Signed) const;
1234 /// Considers the APInt to be unsigned and converts it into a string in the
1235 /// radix given. The radix can be 2, 8, 10 or 16.
1236 void toStringUnsigned(SmallVectorImpl<char> &Str, unsigned Radix = 10) const {
1237 toString(Str, Radix, false);
1240 /// Considers the APInt to be signed and converts it into a string in the
1241 /// radix given. The radix can be 2, 8, 10 or 16.
1242 void toStringSigned(SmallVectorImpl<char> &Str, unsigned Radix = 10) const {
1243 toString(Str, Radix, true);
1246 /// toString - This returns the APInt as a std::string. Note that this is an
1247 /// inefficient method. It is better to pass in a SmallVector/SmallString
1248 /// to the methods above to avoid thrashing the heap for the string.
1249 std::string toString(unsigned Radix, bool Signed) const;
1252 /// @returns a byte-swapped representation of this APInt Value.
1253 APInt byteSwap() const;
1255 /// @brief Converts this APInt to a double value.
1256 double roundToDouble(bool isSigned) const;
1258 /// @brief Converts this unsigned APInt to a double value.
1259 double roundToDouble() const {
1260 return roundToDouble(false);
1263 /// @brief Converts this signed APInt to a double value.
1264 double signedRoundToDouble() const {
1265 return roundToDouble(true);
1268 /// The conversion does not do a translation from integer to double, it just
1269 /// re-interprets the bits as a double. Note that it is valid to do this on
1270 /// any bit width. Exactly 64 bits will be translated.
1271 /// @brief Converts APInt bits to a double
1272 double bitsToDouble() const {
1277 T.I = (isSingleWord() ? VAL : pVal[0]);
1281 /// The conversion does not do a translation from integer to float, it just
1282 /// re-interprets the bits as a float. Note that it is valid to do this on
1283 /// any bit width. Exactly 32 bits will be translated.
1284 /// @brief Converts APInt bits to a double
1285 float bitsToFloat() const {
1290 T.I = unsigned((isSingleWord() ? VAL : pVal[0]));
1294 /// The conversion does not do a translation from double to integer, it just
1295 /// re-interprets the bits of the double.
1296 /// @brief Converts a double to APInt bits.
1297 static APInt doubleToBits(double V) {
1303 return APInt(sizeof T * CHAR_BIT, T.I);
1306 /// The conversion does not do a translation from float to integer, it just
1307 /// re-interprets the bits of the float.
1308 /// @brief Converts a float to APInt bits.
1309 static APInt floatToBits(float V) {
1315 return APInt(sizeof T * CHAR_BIT, T.I);
1319 /// @name Mathematics Operations
1322 /// @returns the floor log base 2 of this APInt.
1323 unsigned logBase2() const {
1324 return BitWidth - 1 - countLeadingZeros();
1327 /// @returns the ceil log base 2 of this APInt.
1328 unsigned ceilLogBase2() const {
1329 return BitWidth - (*this - 1).countLeadingZeros();
1332 /// @returns the log base 2 of this APInt if its an exact power of two, -1
1334 int32_t exactLogBase2() const {
1340 /// @brief Compute the square root
1343 /// If *this is < 0 then return -(*this), otherwise *this;
1344 /// @brief Get the absolute value;
1351 /// @returns the multiplicative inverse for a given modulo.
1352 APInt multiplicativeInverse(const APInt& modulo) const;
1355 /// @name Support for division by constant
1358 /// Calculate the magic number for signed division by a constant.
1362 /// Calculate the magic number for unsigned division by a constant.
1367 /// @name Building-block Operations for APInt and APFloat
1370 // These building block operations operate on a representation of
1371 // arbitrary precision, two's-complement, bignum integer values.
1372 // They should be sufficient to implement APInt and APFloat bignum
1373 // requirements. Inputs are generally a pointer to the base of an
1374 // array of integer parts, representing an unsigned bignum, and a
1375 // count of how many parts there are.
1377 /// Sets the least significant part of a bignum to the input value,
1378 /// and zeroes out higher parts. */
1379 static void tcSet(integerPart *, integerPart, unsigned int);
1381 /// Assign one bignum to another.
1382 static void tcAssign(integerPart *, const integerPart *, unsigned int);
1384 /// Returns true if a bignum is zero, false otherwise.
1385 static bool tcIsZero(const integerPart *, unsigned int);
1387 /// Extract the given bit of a bignum; returns 0 or 1. Zero-based.
1388 static int tcExtractBit(const integerPart *, unsigned int bit);
1390 /// Copy the bit vector of width srcBITS from SRC, starting at bit
1391 /// srcLSB, to DST, of dstCOUNT parts, such that the bit srcLSB
1392 /// becomes the least significant bit of DST. All high bits above
1393 /// srcBITS in DST are zero-filled.
1394 static void tcExtract(integerPart *, unsigned int dstCount,
1395 const integerPart *,
1396 unsigned int srcBits, unsigned int srcLSB);
1398 /// Set the given bit of a bignum. Zero-based.
1399 static void tcSetBit(integerPart *, unsigned int bit);
1401 /// Clear the given bit of a bignum. Zero-based.
1402 static void tcClearBit(integerPart *, unsigned int bit);
1404 /// Returns the bit number of the least or most significant set bit
1405 /// of a number. If the input number has no bits set -1U is
1407 static unsigned int tcLSB(const integerPart *, unsigned int);
1408 static unsigned int tcMSB(const integerPart *parts, unsigned int n);
1410 /// Negate a bignum in-place.
1411 static void tcNegate(integerPart *, unsigned int);
1413 /// DST += RHS + CARRY where CARRY is zero or one. Returns the
1415 static integerPart tcAdd(integerPart *, const integerPart *,
1416 integerPart carry, unsigned);
1418 /// DST -= RHS + CARRY where CARRY is zero or one. Returns the
1420 static integerPart tcSubtract(integerPart *, const integerPart *,
1421 integerPart carry, unsigned);
1423 /// DST += SRC * MULTIPLIER + PART if add is true
1424 /// DST = SRC * MULTIPLIER + PART if add is false
1426 /// Requires 0 <= DSTPARTS <= SRCPARTS + 1. If DST overlaps SRC
1427 /// they must start at the same point, i.e. DST == SRC.
1429 /// If DSTPARTS == SRC_PARTS + 1 no overflow occurs and zero is
1430 /// returned. Otherwise DST is filled with the least significant
1431 /// DSTPARTS parts of the result, and if all of the omitted higher
1432 /// parts were zero return zero, otherwise overflow occurred and
1434 static int tcMultiplyPart(integerPart *dst, const integerPart *src,
1435 integerPart multiplier, integerPart carry,
1436 unsigned int srcParts, unsigned int dstParts,
1439 /// DST = LHS * RHS, where DST has the same width as the operands
1440 /// and is filled with the least significant parts of the result.
1441 /// Returns one if overflow occurred, otherwise zero. DST must be
1442 /// disjoint from both operands.
1443 static int tcMultiply(integerPart *, const integerPart *,
1444 const integerPart *, unsigned);
1446 /// DST = LHS * RHS, where DST has width the sum of the widths of
1447 /// the operands. No overflow occurs. DST must be disjoint from
1448 /// both operands. Returns the number of parts required to hold the
1450 static unsigned int tcFullMultiply(integerPart *, const integerPart *,
1451 const integerPart *, unsigned, unsigned);
1453 /// If RHS is zero LHS and REMAINDER are left unchanged, return one.
1454 /// Otherwise set LHS to LHS / RHS with the fractional part
1455 /// discarded, set REMAINDER to the remainder, return zero. i.e.
1457 /// OLD_LHS = RHS * LHS + REMAINDER
1459 /// SCRATCH is a bignum of the same size as the operands and result
1460 /// for use by the routine; its contents need not be initialized
1461 /// and are destroyed. LHS, REMAINDER and SCRATCH must be
1463 static int tcDivide(integerPart *lhs, const integerPart *rhs,
1464 integerPart *remainder, integerPart *scratch,
1465 unsigned int parts);
1467 /// Shift a bignum left COUNT bits. Shifted in bits are zero.
1468 /// There are no restrictions on COUNT.
1469 static void tcShiftLeft(integerPart *, unsigned int parts,
1470 unsigned int count);
1472 /// Shift a bignum right COUNT bits. Shifted in bits are zero.
1473 /// There are no restrictions on COUNT.
1474 static void tcShiftRight(integerPart *, unsigned int parts,
1475 unsigned int count);
1477 /// The obvious AND, OR and XOR and complement operations.
1478 static void tcAnd(integerPart *, const integerPart *, unsigned int);
1479 static void tcOr(integerPart *, const integerPart *, unsigned int);
1480 static void tcXor(integerPart *, const integerPart *, unsigned int);
1481 static void tcComplement(integerPart *, unsigned int);
1483 /// Comparison (unsigned) of two bignums.
1484 static int tcCompare(const integerPart *, const integerPart *,
1487 /// Increment a bignum in-place. Return the carry flag.
1488 static integerPart tcIncrement(integerPart *, unsigned int);
1490 /// Set the least significant BITS and clear the rest.
1491 static void tcSetLeastSignificantBits(integerPart *, unsigned int,
1494 /// @brief debug method
1500 /// Magic data for optimising signed division by a constant.
1502 APInt m; ///< magic number
1503 unsigned s; ///< shift amount
1506 /// Magic data for optimising unsigned division by a constant.
1508 APInt m; ///< magic number
1509 bool a; ///< add indicator
1510 unsigned s; ///< shift amount
1513 inline bool operator==(uint64_t V1, const APInt& V2) {
1517 inline bool operator!=(uint64_t V1, const APInt& V2) {
1521 inline raw_ostream &operator<<(raw_ostream &OS, const APInt &I) {
1526 namespace APIntOps {
1528 /// @brief Determine the smaller of two APInts considered to be signed.
1529 inline APInt smin(const APInt &A, const APInt &B) {
1530 return A.slt(B) ? A : B;
1533 /// @brief Determine the larger of two APInts considered to be signed.
1534 inline APInt smax(const APInt &A, const APInt &B) {
1535 return A.sgt(B) ? A : B;
1538 /// @brief Determine the smaller of two APInts considered to be signed.
1539 inline APInt umin(const APInt &A, const APInt &B) {
1540 return A.ult(B) ? A : B;
1543 /// @brief Determine the larger of two APInts considered to be unsigned.
1544 inline APInt umax(const APInt &A, const APInt &B) {
1545 return A.ugt(B) ? A : B;
1548 /// @brief Check if the specified APInt has a N-bits unsigned integer value.
1549 inline bool isIntN(unsigned N, const APInt& APIVal) {
1550 return APIVal.isIntN(N);
1553 /// @brief Check if the specified APInt has a N-bits signed integer value.
1554 inline bool isSignedIntN(unsigned N, const APInt& APIVal) {
1555 return APIVal.isSignedIntN(N);
1558 /// @returns true if the argument APInt value is a sequence of ones
1559 /// starting at the least significant bit with the remainder zero.
1560 inline bool isMask(unsigned numBits, const APInt& APIVal) {
1561 return numBits <= APIVal.getBitWidth() &&
1562 APIVal == APInt::getLowBitsSet(APIVal.getBitWidth(), numBits);
1565 /// @returns true if the argument APInt value contains a sequence of ones
1566 /// with the remainder zero.
1567 inline bool isShiftedMask(unsigned numBits, const APInt& APIVal) {
1568 return isMask(numBits, (APIVal - APInt(numBits,1)) | APIVal);
1571 /// @returns a byte-swapped representation of the specified APInt Value.
1572 inline APInt byteSwap(const APInt& APIVal) {
1573 return APIVal.byteSwap();
1576 /// @returns the floor log base 2 of the specified APInt value.
1577 inline unsigned logBase2(const APInt& APIVal) {
1578 return APIVal.logBase2();
1581 /// GreatestCommonDivisor - This function returns the greatest common
1582 /// divisor of the two APInt values using Euclid's algorithm.
1583 /// @returns the greatest common divisor of Val1 and Val2
1584 /// @brief Compute GCD of two APInt values.
1585 APInt GreatestCommonDivisor(const APInt& Val1, const APInt& Val2);
1587 /// Treats the APInt as an unsigned value for conversion purposes.
1588 /// @brief Converts the given APInt to a double value.
1589 inline double RoundAPIntToDouble(const APInt& APIVal) {
1590 return APIVal.roundToDouble();
1593 /// Treats the APInt as a signed value for conversion purposes.
1594 /// @brief Converts the given APInt to a double value.
1595 inline double RoundSignedAPIntToDouble(const APInt& APIVal) {
1596 return APIVal.signedRoundToDouble();
1599 /// @brief Converts the given APInt to a float vlalue.
1600 inline float RoundAPIntToFloat(const APInt& APIVal) {
1601 return float(RoundAPIntToDouble(APIVal));
1604 /// Treast the APInt as a signed value for conversion purposes.
1605 /// @brief Converts the given APInt to a float value.
1606 inline float RoundSignedAPIntToFloat(const APInt& APIVal) {
1607 return float(APIVal.signedRoundToDouble());
1610 /// RoundDoubleToAPInt - This function convert a double value to an APInt value.
1611 /// @brief Converts the given double value into a APInt.
1612 APInt RoundDoubleToAPInt(double Double, unsigned width);
1614 /// RoundFloatToAPInt - Converts a float value into an APInt value.
1615 /// @brief Converts a float value into a APInt.
1616 inline APInt RoundFloatToAPInt(float Float, unsigned width) {
1617 return RoundDoubleToAPInt(double(Float), width);
1620 /// Arithmetic right-shift the APInt by shiftAmt.
1621 /// @brief Arithmetic right-shift function.
1622 inline APInt ashr(const APInt& LHS, unsigned shiftAmt) {
1623 return LHS.ashr(shiftAmt);
1626 /// Logical right-shift the APInt by shiftAmt.
1627 /// @brief Logical right-shift function.
1628 inline APInt lshr(const APInt& LHS, unsigned shiftAmt) {
1629 return LHS.lshr(shiftAmt);
1632 /// Left-shift the APInt by shiftAmt.
1633 /// @brief Left-shift function.
1634 inline APInt shl(const APInt& LHS, unsigned shiftAmt) {
1635 return LHS.shl(shiftAmt);
1638 /// Signed divide APInt LHS by APInt RHS.
1639 /// @brief Signed division function for APInt.
1640 inline APInt sdiv(const APInt& LHS, const APInt& RHS) {
1641 return LHS.sdiv(RHS);
1644 /// Unsigned divide APInt LHS by APInt RHS.
1645 /// @brief Unsigned division function for APInt.
1646 inline APInt udiv(const APInt& LHS, const APInt& RHS) {
1647 return LHS.udiv(RHS);
1650 /// Signed remainder operation on APInt.
1651 /// @brief Function for signed remainder operation.
1652 inline APInt srem(const APInt& LHS, const APInt& RHS) {
1653 return LHS.srem(RHS);
1656 /// Unsigned remainder operation on APInt.
1657 /// @brief Function for unsigned remainder operation.
1658 inline APInt urem(const APInt& LHS, const APInt& RHS) {
1659 return LHS.urem(RHS);
1662 /// Performs multiplication on APInt values.
1663 /// @brief Function for multiplication operation.
1664 inline APInt mul(const APInt& LHS, const APInt& RHS) {
1668 /// Performs addition on APInt values.
1669 /// @brief Function for addition operation.
1670 inline APInt add(const APInt& LHS, const APInt& RHS) {
1674 /// Performs subtraction on APInt values.
1675 /// @brief Function for subtraction operation.
1676 inline APInt sub(const APInt& LHS, const APInt& RHS) {
1680 /// Performs bitwise AND operation on APInt LHS and
1682 /// @brief Bitwise AND function for APInt.
1683 inline APInt And(const APInt& LHS, const APInt& RHS) {
1687 /// Performs bitwise OR operation on APInt LHS and APInt RHS.
1688 /// @brief Bitwise OR function for APInt.
1689 inline APInt Or(const APInt& LHS, const APInt& RHS) {
1693 /// Performs bitwise XOR operation on APInt.
1694 /// @brief Bitwise XOR function for APInt.
1695 inline APInt Xor(const APInt& LHS, const APInt& RHS) {
1699 /// Performs a bitwise complement operation on APInt.
1700 /// @brief Bitwise complement function.
1701 inline APInt Not(const APInt& APIVal) {
1705 } // End of APIntOps namespace
1707 } // End of llvm namespace