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318 lines
10 KiB
C++

#ifndef ROSE_INTEGEROPS_H
#define ROSE_INTEGEROPS_H
#include <stddef.h>
#include <stdint.h>
#include <cassert>
#include <limits>
#include <dyncompat/static_assert.hpp>
#include <dyncompat/optional.hpp>
namespace IntegerOpsPrivate {
template <typename T>
struct NumBits {
DYN_STATIC_ASSERT (std::numeric_limits<T>::radix == 2);
DYN_STATIC_ASSERT (std::numeric_limits<T>::is_integer);
static const size_t value = std::numeric_limits<T>::digits;
};
template <typename T, size_t Count, bool TooBig> struct SHL1Helper;
template <typename T, size_t Count>
struct SHL1Helper<T, Count, true> {
static const T value = 0;
};
template <typename T, size_t Count>
struct SHL1Helper<T, Count, false> {
static const T value = T(1) << Count;
};
}
/** Bit-wise operations on integers.
*
* Many of these are function templates for the best optimization, but we also provide non-template versions for those cases
* when the arguments are not known at compile time. The non-template versions typically have "2" appended to their names to
* indicate that they should be the second choice--used only when the template version cannot be used. */
namespace IntegerOps {
/** Bitmask constant with bit @p n set. Handles the case where @p n is greater than the width of type @p T. */
template <typename T, size_t n>
struct SHL1: public IntegerOpsPrivate::SHL1Helper<T, n, (n >= IntegerOpsPrivate::NumBits<T>::value)> {};
/** Bitmask with bit @p n set. Handles the case where @p n is greater than the width of type @p T. */
template <typename T>
inline T shl1(size_t n) {
return (n >= IntegerOpsPrivate::NumBits<T>::value) ? T(0) : (T(1) << n);
}
/** Bit mask constant with bits 0 through @p n-1 set. */
template <typename T, size_t n>
struct GenMask {
static const T value = SHL1<T, n>::value - T(1);
};
/** Bitmask with bits 0 through @p N-1 set. */
template <typename T>
inline T genMask(size_t n) {
return shl1<T>(n) - 1;
}
/** Generate a bitmask. The return value has bits @p lobit (inclusive) through @p hibit (inclusive) set, and all other bits
* are clear. */
template <typename T>
inline T genMask(size_t lobit, size_t hibit)
{
assert(hibit<8*sizeof(T));
assert(hibit>=lobit);
return genMask<T>(1+hibit-lobit) << lobit;
}
/** Returns true if the sign bit is set, false if clear.
* @{ */
template <size_t NBits, typename T>
inline bool signBit(T value) {
return (value & SHL1<T, NBits - 1>::value) != T(0);
}
template <typename T>
inline bool signBit2(T value, size_t width=8*sizeof(T)) {
assert(width>0 && width<=8*sizeof(T));
T sign_mask = shl1<T>(width-1);
return 0 != (value & sign_mask);
}
/** @} */
/** Sign extend value. If the bit @p FromBits-1 is set set for @p value, then the result will have bits @p FromBits through @p
* ToBits-1 also set (other bits are unchanged). If @p ToBits is less than or equal to @p FromBits then nothing happens.
* @{ */
template <size_t FromBits, size_t ToBits, typename T>
inline T signExtend(T value) {
return value | (signBit<FromBits>(value) ? (GenMask<T, ToBits>::value ^ GenMask<T, FromBits>::value) : T(0));
}
template <typename T>
inline T signExtend2(T value, size_t from_width, size_t to_width) {
assert(from_width<=8*sizeof(T));
assert(to_width<=8*sizeof(T));
return value | (signBit2(value, from_width) ? (genMask<T>(to_width) ^ genMask<T>(from_width)) : T(0));
}
/** @} */
/** Shifts bits of @p value left by @p count bits.
* @{ */
template <size_t NBits, typename T>
inline T shiftLeft(T value, size_t count) {
return (value * shl1<T>(count)) & GenMask<T, NBits>::value;
}
template <typename T>
inline T shiftLeft2(T value, size_t count, size_t width=8*sizeof(T)) {
assert(width>0 && width<=8*sizeof(T));
return (value * shl1<T>(count)) & genMask<T>(width);
}
/** @} */
/** Shifts bits of @p value right by @p count bits without sign extension.
* @{ */
template <size_t NBits, typename T>
inline T shiftRightLogical(T value, size_t count) {
return (count >= NBits) ? T(0) : (value >> count);
}
template <typename T>
inline T shiftRightLogical2(T value, size_t count, size_t width=8*sizeof(T)) {
assert(width>0 && width<=8*sizeof(T));
return (count >= width) ? T(0) : (value >> count);
}
/** @} */
/** Shifts bits of @p value right by @p count bits with sign extension.
* @{ */
template <size_t NBits, typename T>
inline T shiftRightArithmetic(T value, size_t count) {
if (count >= NBits) {
return signBit<NBits>(value) ? GenMask<T, NBits>::value : T(0);
} else {
return (shiftRightLogical<NBits>(value, count) |
(signBit<NBits>(value) ? (GenMask<T, NBits>::value ^ genMask<T>(NBits - count)) : T(0)));
}
}
template <typename T>
inline T shiftRightArithmetic2(T value, size_t count, size_t width=8*sizeof(T)) {
if (count >= width) {
return signBit2(value, width) ? genMask<T>(width) : T(0);
} else {
return (shiftRightLogical2(value, count, width) |
(signBit2(value, width) ? (genMask<T>(width) ^ genMask<T>(width-count)) : T(0)));
}
}
/** @} */
/** Rotate the bits of the value left by count bits.
* @{ */
template <size_t NBits, typename T>
inline T rotateLeft(T value, size_t count) {
count %= NBits;
return ((value << count) | (value >> (NBits - count))) & GenMask<T, NBits>::value;
}
template <typename T>
inline T rotateLeft2(T value, size_t count, size_t width=8*sizeof(T)) {
assert(width>0 && width<=8*sizeof(T));
count %= width;
return ((value << count) | (value >> (width-count))) & genMask<T>(width);
}
/** @} */
/** Rotate bits of the value right by @p count bits.
* @{ */
template <size_t NBits, typename T>
inline T rotateRight(T value, size_t count) {
count %= NBits;
return ((value >> count) | (value << (NBits - count))) & GenMask<T, NBits>::value;
}
template <typename T>
inline T rotateRight2(T value, size_t count, size_t width=8*sizeof(T)) {
assert(width>0 && width<=8*sizeof(T));
return ((value >> count) | (value << (width - count))) & genMask<T>(width);
}
/** @} */
/** Returns true if the value is a power of two. Zero is considered a power of two. */
template <typename T>
inline bool isPowerOfTwo(T value)
{
assert(sizeof(T) <= sizeof(uint64_t));
if (0 != (value & SHL1<T, 8*sizeof(T)-1>::value))
value = ~value + 1;
uint64_t uval = value;
while (uval) {
if (uval & 1)
return 1==uval;
uval >>= 1u;
}
return true; // treat zero as a power of two
}
/** Returns the base-2 logorithm of @p value. If @p value is not a power of two then the return value is rounded up to the
* next integer. The @p value is treated as an unsigned value. Returns zero if @p value is zero. */
template <typename T>
inline T log2max(T value)
{
assert(sizeof(T) <= sizeof(uint64_t));
uint64_t uval = value;
bool low_bits_set = false;
T retval = 0;
while (uval) {
if (1==uval)
return retval + (low_bits_set ? 1 : 0);
if (uval & 1)
low_bits_set = true;
++retval;
uval >>= 1;
}
return retval;
}
template <typename T>
inline T log2(T a) {
T n = T(1);
T i = 0;
while (n != 0 && n < a) {
n <<= 1;
++i;
}
return i;
}
/** Create a shifted value. The return value is created by shifting @p value to the specified position in the result. Other
* bits of the return value are clear. The @p hibit is specified so that we can check at run-time that a valid value was
* specified (i.e., the value isn't too wide).
* @{ */
template<size_t lobit, size_t hibit, typename T>
inline T shift_to(T value) {
assert(hibit<8*sizeof(T));
assert(hibit>=lobit);
assert(0==(value & ~GenMask<T, 1+hibit-lobit>::value));
return shiftLeft<8*sizeof(T)>(value & GenMask<T, 1+hibit-lobit>::value, lobit);
}
template<typename T>
inline T shift_to2(size_t lobit, size_t hibit, T value)
{
assert(hibit<8*sizeof(T));
assert(hibit>=lobit);
assert(0==(value & ~genMask<T>(1+hibit-lobit)));
return shiftLeft2<T>(value & genMask<T>(1+hibit-lobit), lobit);
}
/** @} */
/** Extract bits from a value. Bits @p lobit through @p hibit, inclusive, are right shifted into the result and higher-order
* bits of the result are cleared.
* @{ */
template<size_t lobit, size_t hibit, typename T>
inline T extract(T bits) {
assert(hibit<8*sizeof(T));
assert(hibit>=lobit);
return shiftRightLogical<8*sizeof(T)>(bits, lobit) & GenMask<T, 1+hibit-lobit>::value;
}
template<typename T>
inline T extract2(size_t lobit, size_t hibit, T bits)
{
assert(hibit<8*sizeof(T));
assert(hibit>=lobit);
return shiftRightLogical<8*sizeof(T)>(bits, lobit) & genMask<T>(1+hibit-lobit);
}
/** @} */
/** Determines if one bitmask is a subset of another. Returns true if the bits set in the first argument form a subset of the
* bits set in the second argument. */
template<typename T>
inline bool bitmask_subset(T m1, T m2)
{
return 0 == (~m1 & m2); // m2 must not contain bits that are not in m1
}
/** Counts how many bits are set (one). */
template<typename T>
inline size_t countSet(T val)
{
size_t retval = 0;
for (size_t i=0; i<8*sizeof(T); ++i) {
if (0 != (val & shl1<T>(i)))
++retval;
}
return retval;
}
/** Counts how many bits are clear (zero). */
template<typename T>
inline size_t countClear(T val)
{
size_t retval = 0;
for (size_t i=0; i<8*sizeof(T); ++i) {
if (0 == (val & shl1<T>(i)))
++retval;
}
return retval;
}
/** Optionally returns the zero-origin position of the most significant set bit. Returns nothing if no bits are set. */
template<typename T>
inline dyncompat::optional<size_t> msb_set(T val)
{
if (val!=0) {
for (size_t bitno = 8*sizeof(T); bitno>0; --bitno) {
if (0 != (val & shl1<T>(bitno-1)))
return dyncompat::optional<size_t>(bitno-1);
}
}
return dyncompat::optional<size_t>();
}
} // namespace
#endif // ROSE_INTEGEROPS_H