DoxigAlpha

Self

A bit set with static size, which is backed by an array of usize. This set is good for sets with a larger size, but may use more bytes than necessary if your set is small.

Fields of this type

Fields

#
masks:[num_masks]MaskInt
The bit masks, ordered with lower indices first.

Creates a bit set with no elements present.

Functions

#
initEmpty
Creates a bit set with no elements present.
initFull
Creates a bit set with all elements present.
capacity
Returns the number of bits in this bit set
isSet
Returns true if the bit at the specified index
count
Returns the total number of set bits in this bit set.
setValue
Changes the value of the specified bit of the bit
set
Adds a specific bit to the bit set
setRangeValue
Changes the value of all bits in the specified range to
unset
Removes a specific bit from the bit set
toggle
Flips a specific bit in the bit set
toggleSet
Flips all bits in this bit set which are present
toggleAll
Flips every bit in the bit set.
setUnion
Performs a union of two bit sets, and stores the
setIntersection
Performs an intersection of two bit sets, and stores
findFirstSet
Finds the index of the first set bit.
findLastSet
Finds the index of the last set bit.
toggleFirstSet
Finds the index of the first set bit, and unsets it.
eql
Returns true iff every corresponding bit in both
subsetOf
Returns true iff the first bit set is the subset
supersetOf
Returns true iff the first bit set is the superset
complement
Returns the complement bit sets.
unionWith
Returns the union of two bit sets.
intersectWith
Returns the intersection of two bit sets.
xorWith
Returns the xor of two bit sets.
differenceWith
Returns the difference of two bit sets.
iterator
Iterates through the items in the set, according to the options.

The number of items in this bit set

Values

#
bit_length
The number of items in this bit set
MaskInt
The integer type used to represent a mask in this bit set
last_item_mask
= ~@as(MaskInt, 0) >> last_pad_bits

Source

Implementation

#
pub fn ArrayBitSet(comptime MaskIntType: type, comptime size: usize) type {
    const mask_info: std.builtin.Type = @typeInfo(MaskIntType);

    // Make sure the mask int is indeed an int
    if (mask_info != .int) @compileError("ArrayBitSet can only operate on integer masks, but was passed " ++ @typeName(MaskIntType));

    // It must also be unsigned.
    if (mask_info.int.signedness != .unsigned) @compileError("ArrayBitSet requires an unsigned integer mask type, but was passed " ++ @typeName(MaskIntType));

    // And it must not be empty.
    if (MaskIntType == u0)
        @compileError("ArrayBitSet requires a sized integer for its mask int.  u0 does not work.");

    const byte_size = std.mem.byte_size_in_bits;

    // We use shift and truncate to decompose indices into mask indices and bit indices.
    // This operation requires that the mask has an exact power of two number of bits.
    if (!std.math.isPowerOfTwo(@bitSizeOf(MaskIntType))) {
        var desired_bits = std.math.ceilPowerOfTwoAssert(usize, @bitSizeOf(MaskIntType));
        if (desired_bits < byte_size) desired_bits = byte_size;
        const FixedMaskType = std.meta.Int(.unsigned, desired_bits);
        @compileError("ArrayBitSet was passed integer type " ++ @typeName(MaskIntType) ++
            ", which is not a power of two.  Please round this up to a power of two integer size (i.e. " ++ @typeName(FixedMaskType) ++ ").");
    }

    // Make sure the integer has no padding bits.
    // Those would be wasteful here and are probably a mistake by the user.
    // This case may be hit with small powers of two, like u4.
    if (@bitSizeOf(MaskIntType) != @sizeOf(MaskIntType) * byte_size) {
        var desired_bits = @sizeOf(MaskIntType) * byte_size;
        desired_bits = std.math.ceilPowerOfTwoAssert(usize, desired_bits);
        const FixedMaskType = std.meta.Int(.unsigned, desired_bits);
        @compileError("ArrayBitSet was passed integer type " ++ @typeName(MaskIntType) ++
            ", which contains padding bits.  Please round this up to an unpadded integer size (i.e. " ++ @typeName(FixedMaskType) ++ ").");
    }

    return extern struct {
        const Self = @This();

        // TODO: Make this a comptime field once those are fixed
        /// The number of items in this bit set
        pub const bit_length: usize = size;

        /// The integer type used to represent a mask in this bit set
        pub const MaskInt = MaskIntType;

        /// The integer type used to shift a mask in this bit set
        pub const ShiftInt = std.math.Log2Int(MaskInt);

        // bits in one mask
        const mask_len = @bitSizeOf(MaskInt);
        // total number of masks
        const num_masks = (size + mask_len - 1) / mask_len;
        // padding bits in the last mask (may be 0)
        const last_pad_bits = mask_len * num_masks - size;
        // Mask of valid bits in the last mask.
        // All functions will ensure that the invalid
        // bits in the last mask are zero.
        pub const last_item_mask = ~@as(MaskInt, 0) >> last_pad_bits;

        /// The bit masks, ordered with lower indices first.
        /// Padding bits at the end are undefined.
        masks: [num_masks]MaskInt,

        /// Creates a bit set with no elements present.
        pub fn initEmpty() Self {
            return .{ .masks = [_]MaskInt{0} ** num_masks };
        }

        /// Creates a bit set with all elements present.
        pub fn initFull() Self {
            if (num_masks == 0) {
                return .{ .masks = .{} };
            } else {
                return .{ .masks = [_]MaskInt{~@as(MaskInt, 0)} ** (num_masks - 1) ++ [_]MaskInt{last_item_mask} };
            }
        }

        /// Returns the number of bits in this bit set
        pub inline fn capacity(self: Self) usize {
            _ = self;
            return bit_length;
        }

        /// Returns true if the bit at the specified index
        /// is present in the set, false otherwise.
        pub fn isSet(self: Self, index: usize) bool {
            assert(index < bit_length);
            if (num_masks == 0) return false; // doesn't compile in this case
            return (self.masks[maskIndex(index)] & maskBit(index)) != 0;
        }

        /// Returns the total number of set bits in this bit set.
        pub fn count(self: Self) usize {
            var total: usize = 0;
            for (self.masks) |mask| {
                total += @popCount(mask);
            }
            return total;
        }

        /// Changes the value of the specified bit of the bit
        /// set to match the passed boolean.
        pub fn setValue(self: *Self, index: usize, value: bool) void {
            assert(index < bit_length);
            if (num_masks == 0) return; // doesn't compile in this case
            const bit = maskBit(index);
            const mask_index = maskIndex(index);
            const new_bit = bit & std.math.boolMask(MaskInt, value);
            self.masks[mask_index] = (self.masks[mask_index] & ~bit) | new_bit;
        }

        /// Adds a specific bit to the bit set
        pub fn set(self: *Self, index: usize) void {
            assert(index < bit_length);
            if (num_masks == 0) return; // doesn't compile in this case
            self.masks[maskIndex(index)] |= maskBit(index);
        }

        /// Changes the value of all bits in the specified range to
        /// match the passed boolean.
        pub fn setRangeValue(self: *Self, range: Range, value: bool) void {
            assert(range.end <= bit_length);
            assert(range.start <= range.end);
            if (range.start == range.end) return;
            if (num_masks == 0) return;

            const start_mask_index = maskIndex(range.start);
            const start_bit = @as(ShiftInt, @truncate(range.start));

            const end_mask_index = maskIndex(range.end);
            const end_bit = @as(ShiftInt, @truncate(range.end));

            if (start_mask_index == end_mask_index) {
                var mask1 = std.math.boolMask(MaskInt, true) << start_bit;
                var mask2 = std.math.boolMask(MaskInt, true) >> (mask_len - 1) - (end_bit - 1);
                self.masks[start_mask_index] &= ~(mask1 & mask2);

                mask1 = std.math.boolMask(MaskInt, value) << start_bit;
                mask2 = std.math.boolMask(MaskInt, value) >> (mask_len - 1) - (end_bit - 1);
                self.masks[start_mask_index] |= mask1 & mask2;
            } else {
                var bulk_mask_index: usize = undefined;
                if (start_bit > 0) {
                    self.masks[start_mask_index] =
                        (self.masks[start_mask_index] & ~(std.math.boolMask(MaskInt, true) << start_bit)) |
                        (std.math.boolMask(MaskInt, value) << start_bit);
                    bulk_mask_index = start_mask_index + 1;
                } else {
                    bulk_mask_index = start_mask_index;
                }

                while (bulk_mask_index < end_mask_index) : (bulk_mask_index += 1) {
                    self.masks[bulk_mask_index] = std.math.boolMask(MaskInt, value);
                }

                if (end_bit > 0) {
                    self.masks[end_mask_index] =
                        (self.masks[end_mask_index] & (std.math.boolMask(MaskInt, true) << end_bit)) |
                        (std.math.boolMask(MaskInt, value) >> ((@bitSizeOf(MaskInt) - 1) - (end_bit - 1)));
                }
            }
        }

        /// Removes a specific bit from the bit set
        pub fn unset(self: *Self, index: usize) void {
            assert(index < bit_length);
            if (num_masks == 0) return; // doesn't compile in this case
            self.masks[maskIndex(index)] &= ~maskBit(index);
        }

        /// Flips a specific bit in the bit set
        pub fn toggle(self: *Self, index: usize) void {
            assert(index < bit_length);
            if (num_masks == 0) return; // doesn't compile in this case
            self.masks[maskIndex(index)] ^= maskBit(index);
        }

        /// Flips all bits in this bit set which are present
        /// in the toggles bit set.
        pub fn toggleSet(self: *Self, toggles: Self) void {
            for (&self.masks, 0..) |*mask, i| {
                mask.* ^= toggles.masks[i];
            }
        }

        /// Flips every bit in the bit set.
        pub fn toggleAll(self: *Self) void {
            for (&self.masks) |*mask| {
                mask.* = ~mask.*;
            }

            // Zero the padding bits
            if (num_masks > 0) {
                self.masks[num_masks - 1] &= last_item_mask;
            }
        }

        /// Performs a union of two bit sets, and stores the
        /// result in the first one.  Bits in the result are
        /// set if the corresponding bits were set in either input.
        pub fn setUnion(self: *Self, other: Self) void {
            for (&self.masks, 0..) |*mask, i| {
                mask.* |= other.masks[i];
            }
        }

        /// Performs an intersection of two bit sets, and stores
        /// the result in the first one.  Bits in the result are
        /// set if the corresponding bits were set in both inputs.
        pub fn setIntersection(self: *Self, other: Self) void {
            for (&self.masks, 0..) |*mask, i| {
                mask.* &= other.masks[i];
            }
        }

        /// Finds the index of the first set bit.
        /// If no bits are set, returns null.
        pub fn findFirstSet(self: Self) ?usize {
            var offset: usize = 0;
            const mask = for (self.masks) |mask| {
                if (mask != 0) break mask;
                offset += @bitSizeOf(MaskInt);
            } else return null;
            return offset + @ctz(mask);
        }

        /// Finds the index of the last set bit.
        /// If no bits are set, returns null.
        pub fn findLastSet(self: Self) ?usize {
            if (bit_length == 0) return null;
            const bs = @bitSizeOf(MaskInt);
            var len = bit_length / bs;
            if (bit_length % bs != 0) len += 1;
            var offset: usize = len * bs;
            var idx: usize = len - 1;
            while (self.masks[idx] == 0) : (idx -= 1) {
                offset -= bs;
                if (idx == 0) return null;
            }
            offset -= @clz(self.masks[idx]);
            offset -= 1;
            return offset;
        }

        /// Finds the index of the first set bit, and unsets it.
        /// If no bits are set, returns null.
        pub fn toggleFirstSet(self: *Self) ?usize {
            var offset: usize = 0;
            const mask = for (&self.masks) |*mask| {
                if (mask.* != 0) break mask;
                offset += @bitSizeOf(MaskInt);
            } else return null;
            const index = @ctz(mask.*);
            mask.* &= (mask.* - 1);
            return offset + index;
        }

        /// Returns true iff every corresponding bit in both
        /// bit sets are the same.
        pub fn eql(self: Self, other: Self) bool {
            var i: usize = 0;
            return while (i < num_masks) : (i += 1) {
                if (self.masks[i] != other.masks[i]) {
                    break false;
                }
            } else true;
        }

        /// Returns true iff the first bit set is the subset
        /// of the second one.
        pub fn subsetOf(self: Self, other: Self) bool {
            return self.intersectWith(other).eql(self);
        }

        /// Returns true iff the first bit set is the superset
        /// of the second one.
        pub fn supersetOf(self: Self, other: Self) bool {
            return other.subsetOf(self);
        }

        /// Returns the complement bit sets. Bits in the result
        /// are set if the corresponding bits were not set.
        pub fn complement(self: Self) Self {
            var result = self;
            result.toggleAll();
            return result;
        }

        /// Returns the union of two bit sets. Bits in the
        /// result are set if the corresponding bits were set
        /// in either input.
        pub fn unionWith(self: Self, other: Self) Self {
            var result = self;
            result.setUnion(other);
            return result;
        }

        /// Returns the intersection of two bit sets. Bits in
        /// the result are set if the corresponding bits were
        /// set in both inputs.
        pub fn intersectWith(self: Self, other: Self) Self {
            var result = self;
            result.setIntersection(other);
            return result;
        }

        /// Returns the xor of two bit sets. Bits in the
        /// result are set if the corresponding bits were
        /// not the same in both inputs.
        pub fn xorWith(self: Self, other: Self) Self {
            var result = self;
            result.toggleSet(other);
            return result;
        }

        /// Returns the difference of two bit sets. Bits in
        /// the result are set if set in the first but not
        /// set in the second set.
        pub fn differenceWith(self: Self, other: Self) Self {
            var result = self;
            result.setIntersection(other.complement());
            return result;
        }

        /// Iterates through the items in the set, according to the options.
        /// The default options (.{}) will iterate indices of set bits in
        /// ascending order.  Modifications to the underlying bit set may
        /// or may not be observed by the iterator.
        pub fn iterator(self: *const Self, comptime options: IteratorOptions) Iterator(options) {
            return Iterator(options).init(&self.masks, last_item_mask);
        }

        pub fn Iterator(comptime options: IteratorOptions) type {
            return BitSetIterator(MaskInt, options);
        }

        fn maskBit(index: usize) MaskInt {
            return @as(MaskInt, 1) << @as(ShiftInt, @truncate(index));
        }
        fn maskIndex(index: usize) usize {
            return index >> @bitSizeOf(ShiftInt);
        }
        fn boolMaskBit(index: usize, value: bool) MaskInt {
            return @as(MaskInt, @intFromBool(value)) << @as(ShiftInt, @intCast(index));
        }
    };
}