# Operations¶

The header <kitty/operations.hpp> implements several operations on truth tables.

## Predicates¶

Function
Description

equal(first, second)

Checks whether two truth tables are equal.

less_than(first, second)

Checks whether a truth table is lexicographically smaller than another.

has_var(tt, var_index)

Checks whether truth table depends on given variable index.

is_const0(tt)

Checks whether truth table is contant 0.

implies(first, second)

Checks if first truth table implies a second truth table.

## Combination and manipulation¶

Function
Description

unary_not(tt)

Inverts all bits in a truth table.

binary_and(first, second)

Bitwise AND of two truth tables.

binary_or(first, second)

Bitwise OR of two truth tables.

binary_xor(first, second)

Bitwise XOR of two truth tables.

ternary_ite(first, second, third)

Performs ternary if-then-else of three truth tables.

ternary_majority(first, second, third)

Ternary majority of three truth tables.

mux_var(var_index, then_, else_)

Muxes two truth tables based on a variable.

next_inplace(tt)

Computes the next lexicographically larger truth table.

next(tt)

Returns the next lexicographically larger truth table.

cofactor0_inplace(tt, var_index)

Computes co-factor with respect to 0.

cofactor0(tt, var_index)

Returns co-factor with respect to 0.

cofactor1_inplace(tt, var_index)

Computes co-factor with respect to 1.

cofactor1(tt, var_index)

Returns co-factor with respect to 1.

swap_inplace(tt, var_index1, var_index2)

Swaps two variables in a truth table.

swap(tt, var_index1, var_index2)

Swaps two adjacent variables in a truth table.

swap_adjacent_inplace(tt, var_index)

Swaps two adjacent variables in a truth table.

swap_adjacent(tt, var_index)

Swaps two adjacent variables in a truth table.

flip_inplace(tt, var_index)

Flips a variable in a truth table.

flip(tt, var_index)

Flips a variable in a truth table.

min_base_inplace(tt)

Reorders truth table to have minimum base.

expand_inplace(tt, support)

Expands truth table from minimum base to original based on support.

extend_to_inplace(tt, from)

Extends smaller truth table to larger one.

extend_to(from)

Extends smaller truth table to larger static one.

extend_to(from, num_vars)

Extends smaller truth table to larger dynamic one.

shrink_to_inplace(tt, from)

Shrinks larger truth table to smaller one.

shrink_to(from)

Shrinks larger truth table to smaller static one.

shrink_to(from, num_vars)

Shrinks larger truth table to smaller dynamic one.

shift_left_inplace(tt, shift)

Left-shift truth table.

shift_left(tt, shift)

Left-shift truth table.

shift_right_inplace(tt, shift)

Right-shift truth table.

shift_right(tt, shift)

Right-shift truth table.

shift_with_mask_inplace(f, mask)

Shifts a small truth table with respect to a mask.

shift_with_mask(f, mask)

Shifts a small truth table with respect to a mask.