libdruntime/core/bitop.d

/**
 * This module contains a collection of bit-level operations.
 *
 * Copyright: Copyright Don Clugston 2005 - 2013.
 * License:   $(LINK2 http://www.boost.org/LICENSE_1_0.txt, Boost License 1.0)
 * Authors:   Don Clugston, Sean Kelly, Walter Bright, Alex Rønne Petersen, Thomas Stuart Bockman
 * Source:    $(DRUNTIMESRC core/_bitop.d)
 */

module core.bitop;

nothrow:
@safe:
@nogc:

version (D_InlineAsm_X86_64)
    version = AsmX86;
else version (D_InlineAsm_X86)
    version = AsmX86;

version (X86_64)
    version = AnyX86;
else version (X86)
    version = AnyX86;

// Use to implement 64-bit bitops on 32-bit arch.
private union Split64
{
    ulong u64;
    struct
    {
        version (LittleEndian)
        {
            uint lo;
            uint hi;
        }
        else
        {
            uint hi;
            uint lo;
        }
    }

    pragma(inline, true)
    this(ulong u64) @safe pure nothrow @nogc
    {
        if (__ctfe)
        {
            lo = cast(uint) u64;
            hi = cast(uint) (u64 >>> 32);
        }
        else
            this.u64 = u64;
    }
}

unittest
{
    const rt = Split64(1);
    assert((rt.lo == 1) && (rt.hi == 0));

    enum ct = Split64(1);
    assert((ct.lo == rt.lo) && (ct.hi == rt.hi));
}

/**
 * Scans the bits in v starting with bit 0, looking
 * for the first set bit.
 * Returns:
 *      The bit number of the first bit set.
 *      The return value is undefined if v is zero.
 */
int bsf(uint v) pure
{
    pragma(inline, false);  // so intrinsic detection will work
    return softBsf!uint(v);
}

/// ditto
int bsf(ulong v) pure
{
    static if (size_t.sizeof == ulong.sizeof)  // 64 bit code gen
    {
        pragma(inline, false);   // so intrinsic detection will work
        return softBsf!ulong(v);
    }
    else
    {
        /* intrinsic not available for 32 bit code,
         * make do with 32 bit bsf
         */
        const sv = Split64(v);
        return (sv.lo == 0)?
            bsf(sv.hi) + 32 :
            bsf(sv.lo);
    }
}

///
unittest
{
    assert(bsf(0x21) == 0);
    assert(bsf(ulong.max << 39) == 39);
}

unittest
{
    // Make sure bsf() is available at CTFE
    enum test_ctfe = bsf(ulong.max);
    assert(test_ctfe == 0);
}

/**
 * Scans the bits in v from the most significant bit
 * to the least significant bit, looking
 * for the first set bit.
 * Returns:
 *      The bit number of the first bit set.
 *      The return value is undefined if v is zero.
 */
int bsr(uint v) pure
{
    pragma(inline, false);  // so intrinsic detection will work
    return softBsr!uint(v);
}

/// ditto
int bsr(ulong v) pure
{
    static if (size_t.sizeof == ulong.sizeof)  // 64 bit code gen
    {
        pragma(inline, false);   // so intrinsic detection will work
        return softBsr!ulong(v);
    }
    else
    {
        /* intrinsic not available for 32 bit code,
         * make do with 32 bit bsr
         */
        const sv = Split64(v);
        return (sv.hi == 0)?
            bsr(sv.lo) :
            bsr(sv.hi) + 32;
    }
}

///
unittest
{
    assert(bsr(0x21) == 5);
    assert(bsr((ulong.max >> 15) - 1) == 48);
}

unittest
{
    // Make sure bsr() is available at CTFE
    enum test_ctfe = bsr(ulong.max);
    assert(test_ctfe == 63);
}

private alias softBsf(N) = softScan!(N, true);
private alias softBsr(N) = softScan!(N, false);

/* Shared software fallback implementation for bit scan foward and reverse.

If forward is true, bsf is computed (the index of the first set bit).
If forward is false, bsr is computed (the index of the last set bit).

-1 is returned if no bits are set (v == 0).
*/
private int softScan(N, bool forward)(N v) pure
    if (is(N == uint) || is(N == ulong))
{
    // bsf() and bsr() are officially undefined for v == 0.
    if (!v)
        return -1;

    // This is essentially an unrolled binary search:
    enum mask(ulong lo) = forward ? cast(N) lo : cast(N)~lo;
    enum inc(int up) = forward ? up : -up;

    N x;
    int ret;
    static if (is(N == ulong))
    {
        x = v & mask!0x0000_0000_FFFF_FFFFL;
        if (x)
        {
            v = x;
            ret = forward ? 0 : 63;
        }
        else
            ret = forward ? 32 : 31;

        x = v & mask!0x0000_FFFF_0000_FFFFL;
        if (x)
            v = x;
        else
            ret += inc!16;
    }
    else static if (is(N == uint))
    {
        x = v & mask!0x0000_FFFF;
        if (x)
        {
            v = x;
            ret = forward ? 0 : 31;
        }
        else
            ret = forward ? 16 : 15;
    }
    else
        static assert(false);

    x = v & mask!0x00FF_00FF_00FF_00FFL;
    if (x)
        v = x;
    else
        ret += inc!8;

    x = v & mask!0x0F0F_0F0F_0F0F_0F0FL;
    if (x)
        v = x;
    else
        ret += inc!4;

    x = v & mask!0x3333_3333_3333_3333L;
    if (x)
        v = x;
    else
        ret += inc!2;

    x = v & mask!0x5555_5555_5555_5555L;
    if (!x)
        ret += inc!1;

    return ret;
}

unittest
{
    assert(softBsf!uint(0u) == -1);
    assert(softBsr!uint(0u) == -1);
    assert(softBsf!ulong(0uL) == -1);
    assert(softBsr!ulong(0uL) == -1);

    assert(softBsf!uint(0x0031_A000) == 13);
    assert(softBsr!uint(0x0031_A000) == 21);
    assert(softBsf!ulong(0x0000_0001_8000_0000L) == 31);
    assert(softBsr!ulong(0x0000_0001_8000_0000L) == 32);

    foreach (b; 0 .. 64)
    {
        if (b < 32)
        {
            assert(softBsf!uint(1u << b) == b);
            assert(softBsr!uint(1u << b) == b);
        }

        assert(softBsf!ulong(1uL << b) == b);
        assert(softBsr!ulong(1uL << b) == b);
    }
}

/**
 * Tests the bit.
 * (No longer an intrisic - the compiler recognizes the patterns
 * in the body.)
 */
int bt(in size_t* p, size_t bitnum) pure @system
{
    static if (size_t.sizeof == 8)
        return ((p[bitnum >> 6] & (1L << (bitnum & 63)))) != 0;
    else static if (size_t.sizeof == 4)
        return ((p[bitnum >> 5] & (1  << (bitnum & 31)))) != 0;
    else
        static assert(0);
}
///
@system pure unittest
{
    size_t[2] array;

    array[0] = 2;
    array[1] = 0x100;

    assert(bt(array.ptr, 1));
    assert(array[0] == 2);
    assert(array[1] == 0x100);
}

/**
 * Tests and complements the bit.
 */
int btc(size_t* p, size_t bitnum) pure @system;


/**
 * Tests and resets (sets to 0) the bit.
 */
int btr(size_t* p, size_t bitnum) pure @system;


/**
 * Tests and sets the bit.
 * Params:
 * p = a non-NULL pointer to an array of size_ts.
 * bitnum = a bit number, starting with bit 0 of p[0],
 * and progressing. It addresses bits like the expression:
---
p[index / (size_t.sizeof*8)] & (1 << (index & ((size_t.sizeof*8) - 1)))
---
 * Returns:
 *      A non-zero value if the bit was set, and a zero
 *      if it was clear.
 */
int bts(size_t* p, size_t bitnum) pure @system;

///
@system pure unittest
{
    size_t[2] array;

    array[0] = 2;
    array[1] = 0x100;

    assert(btc(array.ptr, 35) == 0);
    if (size_t.sizeof == 8)
    {
        assert(array[0] == 0x8_0000_0002);
        assert(array[1] == 0x100);
    }
    else
    {
        assert(array[0] == 2);
        assert(array[1] == 0x108);
    }

    assert(btc(array.ptr, 35));
    assert(array[0] == 2);
    assert(array[1] == 0x100);

    assert(bts(array.ptr, 35) == 0);
    if (size_t.sizeof == 8)
    {
        assert(array[0] == 0x8_0000_0002);
        assert(array[1] == 0x100);
    }
    else
    {
        assert(array[0] == 2);
        assert(array[1] == 0x108);
    }

    assert(btr(array.ptr, 35));
    assert(array[0] == 2);
    assert(array[1] == 0x100);
}

/**
 * Range over bit set. Each element is the bit number that is set.
 *
 * This is more efficient than testing each bit in a sparsely populated bit
 * set. Note that the first bit in the bit set would be bit 0.
 */
struct BitRange
{
    /// Number of bits in each size_t
    enum bitsPerWord = size_t.sizeof * 8;

    private
    {
        const(size_t)*bits; // points at next word of bits to check
        size_t cur; // needed to allow searching bits using bsf
        size_t idx; // index of current set bit
        size_t len; // number of bits in the bit set.
    }
    @nogc nothrow pure:

    /**
     * Construct a BitRange.
     *
     * Params:
     *   bitarr = The array of bits to iterate over
     *   numBits = The total number of valid bits in the given bit array
     */
    this(const(size_t)* bitarr, size_t numBits) @system
    {
        bits = bitarr;
        len = numBits;
        if (len)
        {
            // prime the first bit
            cur = *bits++ ^ 1;
            popFront();
        }
    }

    /// Range functions
    size_t front()
    {
        assert(!empty);
        return idx;
    }

    /// ditto
    bool empty() const
    {
        return idx >= len;
    }

    /// ditto
    void popFront() @system
    {
        // clear the current bit
        auto curbit = idx % bitsPerWord;
        cur ^= size_t(1) << curbit;
        if (!cur)
        {
            // find next size_t with set bit
            idx -= curbit;
            while (!cur)
            {
                if ((idx += bitsPerWord) >= len)
                    // now empty
                    return;
                cur = *bits++;
            }
            idx += bsf(cur);
        }
        else
        {
            idx += bsf(cur) - curbit;
        }
    }
}

///
@system unittest
{
    import core.stdc.stdlib : malloc, free;
    import core.stdc.string : memset;

    // initialize a bit array
    enum nBytes = (100 + BitRange.bitsPerWord - 1) / 8;
    size_t *bitArr = cast(size_t *)malloc(nBytes);
    scope(exit) free(bitArr);
    memset(bitArr, 0, nBytes);

    // set some bits
    bts(bitArr, 48);
    bts(bitArr, 24);
    bts(bitArr, 95);
    bts(bitArr, 78);

    enum sum = 48 + 24 + 95 + 78;

    // iterate
    size_t testSum;
    size_t nBits;
    foreach (b; BitRange(bitArr, 100))
    {
        testSum += b;
        ++nBits;
    }

    assert(testSum == sum);
    assert(nBits == 4);
}

@system unittest
{
    void testIt(size_t numBits, size_t[] bitsToTest...)
    {
        import core.stdc.stdlib : malloc, free;
        import core.stdc.string : memset;
        immutable numBytes = (numBits + size_t.sizeof * 8 - 1) / 8;
        size_t* bitArr = cast(size_t *)malloc(numBytes);
        scope(exit) free(bitArr);
        memset(bitArr, 0, numBytes);
        foreach (b; bitsToTest)
            bts(bitArr, b);
        auto br = BitRange(bitArr, numBits);
        foreach (b; bitsToTest)
        {
            assert(!br.empty);
            assert(b == br.front);
            br.popFront();
        }
        assert(br.empty);
    }

    testIt(100, 0, 1, 31, 63, 85);
    testIt(100, 6, 45, 89, 92, 99);
}

/**
 * Swaps bytes in a 4 byte uint end-to-end, i.e. byte 0 becomes
 * byte 3, byte 1 becomes byte 2, byte 2 becomes byte 1, byte 3
 * becomes byte 0.
 */
uint bswap(uint v) pure;

/**
 * Swaps bytes in an 8 byte ulong end-to-end, i.e. byte 0 becomes
 * byte 7, byte 1 becomes byte 6, etc.
 */
ulong bswap(ulong v) pure
{
    auto sv = Split64(v);

    const temp = sv.lo;
    sv.lo = bswap(sv.hi);
    sv.hi = bswap(temp);

    return (cast(ulong) sv.hi << 32) | sv.lo;
}

version (DigitalMars) version (AnyX86) @system // not pure
{
    /**
     * Reads I/O port at port_address.
     */
    ubyte inp(uint port_address);


    /**
     * ditto
     */
    ushort inpw(uint port_address);


    /**
     * ditto
     */
    uint inpl(uint port_address);


    /**
     * Writes and returns value to I/O port at port_address.
     */
    ubyte outp(uint port_address, ubyte value);


    /**
     * ditto
     */
    ushort outpw(uint port_address, ushort value);


    /**
     * ditto
     */
    uint outpl(uint port_address, uint value);
}


/**
 *  Calculates the number of set bits in an integer.
 */
int popcnt(uint x) pure
{
    // Select the fastest method depending on the compiler and CPU architecture
    version (DigitalMars)
    {
        static if (is(typeof(_popcnt(uint.max))))
        {
            import core.cpuid;
            if (!__ctfe && hasPopcnt)
                return _popcnt(x);
        }
    }

    return softPopcnt!uint(x);
}

unittest
{
    assert( popcnt( 0 ) == 0 );
    assert( popcnt( 7 ) == 3 );
    assert( popcnt( 0xAA )== 4 );
    assert( popcnt( 0x8421_1248 ) == 8 );
    assert( popcnt( 0xFFFF_FFFF ) == 32 );
    assert( popcnt( 0xCCCC_CCCC ) == 16 );
    assert( popcnt( 0x7777_7777 ) == 24 );

    // Make sure popcnt() is available at CTFE
    enum test_ctfe = popcnt(uint.max);
    assert(test_ctfe == 32);
}

/// ditto
int popcnt(ulong x) pure
{
    // Select the fastest method depending on the compiler and CPU architecture
    import core.cpuid;

    static if (size_t.sizeof == uint.sizeof)
    {
        const sx = Split64(x);
        version (DigitalMars)
        {
            static if (is(typeof(_popcnt(uint.max))))
            {
                if (!__ctfe && hasPopcnt)
                    return _popcnt(sx.lo) + _popcnt(sx.hi);
            }
        }

        return softPopcnt!uint(sx.lo) + softPopcnt!uint(sx.hi);
    }
    else static if (size_t.sizeof == ulong.sizeof)
    {
        version (DigitalMars)
        {
            static if (is(typeof(_popcnt(ulong.max))))
            {
                if (!__ctfe && hasPopcnt)
                    return _popcnt(x);
            }
        }

        return softPopcnt!ulong(x);
    }
    else
        static assert(false);
}

unittest
{
    assert(popcnt(0uL) == 0);
    assert(popcnt(1uL) == 1);
    assert(popcnt((1uL << 32) - 1) == 32);
    assert(popcnt(0x48_65_6C_6C_6F_3F_21_00uL) == 28);
    assert(popcnt(ulong.max) == 64);

    // Make sure popcnt() is available at CTFE
    enum test_ctfe = popcnt(ulong.max);
    assert(test_ctfe == 64);
}

private int softPopcnt(N)(N x) pure
    if (is(N == uint) || is(N == ulong))
{
    // Avoid branches, and the potential for cache misses which
    // could be incurred with a table lookup.

    // We need to mask alternate bits to prevent the
    // sum from overflowing.
    // add neighbouring bits. Each bit is 0 or 1.
    enum mask1 = cast(N) 0x5555_5555_5555_5555L;
    x = x - ((x>>1) & mask1);
    // now each two bits of x is a number 00,01 or 10.
    // now add neighbouring pairs
    enum mask2a = cast(N) 0xCCCC_CCCC_CCCC_CCCCL;
    enum mask2b = cast(N) 0x3333_3333_3333_3333L;
    x = ((x & mask2a)>>2) + (x & mask2b);
    // now each nibble holds 0000-0100. Adding them won't
    // overflow any more, so we don't need to mask any more

    enum mask4 = cast(N) 0x0F0F_0F0F_0F0F_0F0FL;
    x = (x + (x >> 4)) & mask4;

    enum shiftbits = is(N == uint)? 24 : 56;
    enum maskMul = cast(N) 0x0101_0101_0101_0101L;
    x = (x * maskMul) >> shiftbits;

    return cast(int) x;
}

version (DigitalMars) version (AnyX86)
{
    /**
     * Calculates the number of set bits in an integer
     * using the X86 SSE4 POPCNT instruction.
     * POPCNT is not available on all X86 CPUs.
     */
    ushort _popcnt( ushort x ) pure;
    /// ditto
    int _popcnt( uint x ) pure;
    version (X86_64)
    {
        /// ditto
        int _popcnt( ulong x ) pure;
    }

    unittest
    {
        // Not everyone has SSE4 instructions
        import core.cpuid;
        if (!hasPopcnt)
            return;

        static int popcnt_x(ulong u) nothrow @nogc
        {
            int c;
            while (u)
            {
                c += u & 1;
                u >>= 1;
            }
            return c;
        }

        for (uint u = 0; u < 0x1_0000; ++u)
        {
            //writefln("%x %x %x", u,   _popcnt(cast(ushort)u), popcnt_x(cast(ushort)u));
            assert(_popcnt(cast(ushort)u) == popcnt_x(cast(ushort)u));

            assert(_popcnt(cast(uint)u) == popcnt_x(cast(uint)u));
            uint ui = u * 0x3_0001;
            assert(_popcnt(ui) == popcnt_x(ui));

            version (X86_64)
            {
                assert(_popcnt(cast(ulong)u) == popcnt_x(cast(ulong)u));
                ulong ul = u * 0x3_0003_0001;
                assert(_popcnt(ul) == popcnt_x(ul));
            }
        }
    }
}


/*************************************
 * Read/write value from/to the memory location indicated by ptr.
 *
 * These functions are recognized by the compiler, and calls to them are guaranteed
 * to not be removed (as dead assignment elimination or presumed to have no effect)
 * or reordered in the same thread.
 *
 * These reordering guarantees are only made with regards to other
 * operations done through these functions; the compiler is free to reorder regular
 * loads/stores with regards to loads/stores done through these functions.
 *
 * This is useful when dealing with memory-mapped I/O (MMIO) where a store can
 * have an effect other than just writing a value, or where sequential loads
 * with no intervening stores can retrieve
 * different values from the same location due to external stores to the location.
 *
 * These functions will, when possible, do the load/store as a single operation. In
 * general, this is possible when the size of the operation is less than or equal to
 * $(D (void*).sizeof), although some targets may support larger operations. If the
 * load/store cannot be done as a single operation, multiple smaller operations will be used.
 *
 * These are not to be conflated with atomic operations. They do not guarantee any
 * atomicity. This may be provided by coincidence as a result of the instructions
 * used on the target, but this should not be relied on for portable programs.
 * Further, no memory fences are implied by these functions.
 * They should not be used for communication between threads.
 * They may be used to guarantee a write or read cycle occurs at a specified address.
 */

ubyte  volatileLoad(ubyte * ptr);
ushort volatileLoad(ushort* ptr);  /// ditto
uint   volatileLoad(uint  * ptr);  /// ditto
ulong  volatileLoad(ulong * ptr);  /// ditto

void volatileStore(ubyte * ptr, ubyte  value);   /// ditto
void volatileStore(ushort* ptr, ushort value);   /// ditto
void volatileStore(uint  * ptr, uint   value);   /// ditto
void volatileStore(ulong * ptr, ulong  value);   /// ditto

@system unittest
{
    alias TT(T...) = T;

    foreach (T; TT!(ubyte, ushort, uint, ulong))
    {
        T u;
        T* p = &u;
        volatileStore(p, 1);
        T r = volatileLoad(p);
        assert(r == u);
    }
}


/**
 * Reverses the order of bits in a 32-bit integer.
 */
pragma(inline, true)
uint bitswap( uint x ) pure
{
    if (!__ctfe)
    {
        static if (is(typeof(asmBitswap32(x))))
            return asmBitswap32(x);
    }

    return softBitswap!uint(x);
}

unittest
{
    static void test(alias impl)()
    {
        assert (impl( 0x8000_0100 ) == 0x0080_0001);
        foreach (i; 0 .. 32)
            assert (impl(1 << i) == 1 << 32 - i - 1);
    }

    test!(bitswap)();
    test!(softBitswap!uint)();
    static if (is(typeof(asmBitswap32(0u))))
        test!(asmBitswap32)();

    // Make sure bitswap() is available at CTFE
    enum test_ctfe = bitswap(1U);
    assert(test_ctfe == (1U << 31));
}

/**
 * Reverses the order of bits in a 64-bit integer.
 */
pragma(inline, true)
ulong bitswap ( ulong x ) pure
{
    if (!__ctfe)
    {
        static if (is(typeof(asmBitswap64(x))))
            return asmBitswap64(x);
    }

    return softBitswap!ulong(x);
}

unittest
{
    static void test(alias impl)()
    {
        assert (impl( 0b1000000000000000000000010000000000000000100000000000000000000001)
            == 0b1000000000000000000000010000000000000000100000000000000000000001);
        assert (impl( 0b1110000000000000000000010000000000000000100000000000000000000001)
            == 0b1000000000000000000000010000000000000000100000000000000000000111);
        foreach (i; 0 .. 64)
            assert (impl(1UL << i) == 1UL << 64 - i - 1);
    }

    test!(bitswap)();
    test!(softBitswap!ulong)();
    static if (is(typeof(asmBitswap64(0uL))))
        test!(asmBitswap64)();

    // Make sure bitswap() is available at CTFE
    enum test_ctfe = bitswap(1UL);
    assert(test_ctfe == (1UL << 63));
}

private N softBitswap(N)(N x) pure
    if (is(N == uint) || is(N == ulong))
{
    // swap 1-bit pairs:
    enum mask1 = cast(N) 0x5555_5555_5555_5555L;
    x = ((x >> 1) & mask1) | ((x & mask1) << 1);
    // swap 2-bit pairs:
    enum mask2 = cast(N) 0x3333_3333_3333_3333L;
    x = ((x >> 2) & mask2) | ((x & mask2) << 2);
    // swap 4-bit pairs:
    enum mask4 = cast(N) 0x0F0F_0F0F_0F0F_0F0FL;
    x = ((x >> 4) & mask4) | ((x & mask4) << 4);

    // reverse the order of all bytes:
    x = bswap(x);

    return x;
}

version (AsmX86)
{
    private uint asmBitswap32(uint x) @trusted pure
    {
        asm pure nothrow @nogc { naked; }

        version (D_InlineAsm_X86_64)
        {
            version (Win64)
                asm pure nothrow @nogc { mov EAX, ECX; }
            else
                asm pure nothrow @nogc { mov EAX, EDI; }
        }

        asm pure nothrow @nogc
        {
            // Author: Tiago Gasiba.
            mov EDX, EAX;
            shr EAX, 1;
            and EDX, 0x5555_5555;
            and EAX, 0x5555_5555;
            shl EDX, 1;
            or  EAX, EDX;
            mov EDX, EAX;
            shr EAX, 2;
            and EDX, 0x3333_3333;
            and EAX, 0x3333_3333;
            shl EDX, 2;
            or  EAX, EDX;
            mov EDX, EAX;
            shr EAX, 4;
            and EDX, 0x0f0f_0f0f;
            and EAX, 0x0f0f_0f0f;
            shl EDX, 4;
            or  EAX, EDX;
            bswap EAX;
            ret;
        }
    }
}

version (D_InlineAsm_X86_64)
{
    private ulong asmBitswap64(ulong x) @trusted pure
    {
        asm pure nothrow @nogc { naked; }

        version (Win64)
            asm pure nothrow @nogc { mov RAX, RCX; }
        else
            asm pure nothrow @nogc { mov RAX, RDI; }

        asm pure nothrow @nogc
        {
            // Author: Tiago Gasiba.
            mov RDX, RAX;
            shr RAX, 1;
            mov RCX, 0x5555_5555_5555_5555L;
            and RDX, RCX;
            and RAX, RCX;
            shl RDX, 1;
            or  RAX, RDX;

            mov RDX, RAX;
            shr RAX, 2;
            mov RCX, 0x3333_3333_3333_3333L;
            and RDX, RCX;
            and RAX, RCX;
            shl RDX, 2;
            or  RAX, RDX;

            mov RDX, RAX;
            shr RAX, 4;
            mov RCX, 0x0f0f_0f0f_0f0f_0f0fL;
            and RDX, RCX;
            and RAX, RCX;
            shl RDX, 4;
            or  RAX, RDX;
            bswap RAX;
            ret;
        }
    }
}

/**
 *  Bitwise rotate `value` left (`rol`) or right (`ror`) by
 *  `count` bit positions.
 */
pure T rol(T)(in T value, in uint count)
    if (__traits(isIntegral, T) && __traits(isUnsigned, T))
{
    assert(count < 8 * T.sizeof);
    return cast(T) ((value << count) | (value >> (-count & (T.sizeof * 8 - 1))));
}
/// ditto
pure T ror(T)(in T value, in uint count)
    if (__traits(isIntegral, T) && __traits(isUnsigned, T))
{
    assert(count < 8 * T.sizeof);
    return cast(T) ((value >> count) | (value << (-count & (T.sizeof * 8 - 1))));
}
/// ditto
pure T rol(uint count, T)(in T value)
    if (__traits(isIntegral, T) && __traits(isUnsigned, T))
{
    static assert(count < 8 * T.sizeof);
    return cast(T) ((value << count) | (value >> (-count & (T.sizeof * 8 - 1))));
}
/// ditto
pure T ror(uint count, T)(in T value)
    if (__traits(isIntegral, T) && __traits(isUnsigned, T))
{
    static assert(count < 8 * T.sizeof);
    return cast(T) ((value >> count) | (value << (-count & (T.sizeof * 8 - 1))));
}

///
unittest
{
    ubyte a = 0b10101010U;
    ulong b = ulong.max;

    assert(rol(a, 1) == 0b01010101);
    assert(ror(a, 1) == 0b01010101);
    assert(rol(a, 3) == 0b01010101);
    assert(ror(a, 3) == 0b01010101);

    assert(rol(a, 0) == a);
    assert(ror(a, 0) == a);

    assert(rol(b, 63) == ulong.max);
    assert(ror(b, 63) == ulong.max);

    assert(rol!3(a) == 0b01010101);
    assert(ror!3(a) == 0b01010101);
}