from .arithmetic_circuit import( ArithmeticCircuit ) from ariths_gen.one_bit_circuits.logic_gates import( LogicGate, AndGate, NandGate, OrGate, NorGate, XorGate, XnorGate, NotGate ) from ariths_gen.wire_components import( Wire, Bus ) import math """ MULTIPLIER CIRCUITS """ class MultiplierCircuit(ArithmeticCircuit): def __init__(self): super().__init__() """ Array multipliers """ # Used in array multipliers to get previous row's component output wires # for further connection to another component's input def get_previous_partial_product(self, a_index: int, b_index: int, offset: int = 0): # To get the index of previous row's connecting adder and its generated pp index = ((b_index-2) * (self.N*2)) + ((self.N-1)+2*(a_index+2)) + offset # Get carry wire as input for the last adder in current row if a_index == self.N-1: index = index-2 return self.components[index].get_carry_wire() # Get sum wire as input for current adder else: return self.components[index].get_sum_wire() """ Dadda multiplier """ # Used in dadda multipliers to get multiplier's maximum height @staticmethod def get_maximum_height(initial_value: int): stage = 0 d = 2 while True: stage += 1 max_height = d # Calculating maximum height sequence # d(j=1) = 2; d(j+1) = floor(1.5*d) d = math.floor(1.5*d) if d >= initial_value: return stage, max_height def init_column_heights(self, signed=False): columns = [[num] if num <= self.N else [num - (num - self.N)*2] for num in range(1, self.out.N)] columns = [self.add_column_wires(column=col, column_index=columns.index(col)) for col in columns] return columns def add_column_wires(self, column: list, column_index: int): [column.append([]) for _ in range(column[0])] if column_index <= self.N-1: [column[column[0]-index].append(self.a.get_wire(index)) for index in range(0, column[0])] [column[index+1].append(self.b.get_wire(index)) for index in range(0, column[0])] else: [column[self.a.N-index].append(self.a.get_wire(index)) for index in range(self.a.N-1, self.a.N-column[0]-1, -1)] [column[index-(self.a.N-1-column[0])].append(self.b.get_wire(index)) for index in range(self.a.N-column[0], self.a.N)] # TODO check and refactor # Filling unsigned pp matrix with AND gates if self.__class__.__name__ == "unsigned_dadda_multiplier" or self.__class__.__name__ == "unsigned_wallace_multiplier": column[1:] = [AndGate(a=column[i][0], b=column[i][1], prefix=self.prefix+'_and_'+str(column[i][0].index)+'_'+str(column[i][1].index)) for i in range(1, len(column))] # Filling signed pp matrix with AND/NAND gates (based on Baugh-Wooley multiplication algorithm) else: # First half of partial product columns contains only AND gates if column_index < self.N-1 or column_index == self.out.N-2: column[1:] = [AndGate(a=column[i][0], b=column[i][1], prefix=self.prefix+'_and_'+str(column[i][0].index)+'_'+str(column[i][1].index)) for i in range(1, len(column))] # Second half of partial product columns contains NAND/AND gates else: column[1] = NandGate(a=column[1][0], b=column[1][1], prefix=self.prefix+'_nand_'+str(column[1][0].index)+'_'+str(column[1][1].index)) column[-1] = NandGate(a=column[-1][0], b=column[-1][1], prefix=self.prefix+'_nand_'+str(column[-1][0].index)+'_'+str(column[-1][1].index)) if len(column[2:-1]) != 0: column[2:-1] = [AndGate(a=column[i][0], b=column[i][1], prefix=self.prefix+'_and_'+str(column[i][0].index)+'_'+str(column[i][1].index)) for i in range(2, len(column)-1)] return column def get_column_height(self, column_num: int): return self.columns[column_num][0] def update_column_heights(self, curr_column: int, curr_height_change: int, next_column: int = 0, next_height_change: int = 0): self.columns[curr_column][0] = self.get_column_height(curr_column)+curr_height_change if next_column-1 == curr_column: self.columns[next_column][0] = self.get_column_height(next_column)+next_height_change def get_column_wire(self, column: int, bit: int): if isinstance(self.columns[column][bit], AndGate) or isinstance(self.columns[column][bit], NandGate): self.add_component(self.columns[column][bit]) return self.get_previous_component(1).out else: return self.columns[column][bit] def update_column_wires(self, curr_column: int, adder: ArithmeticCircuit, next_column: int = 0): if hasattr(adder, "c"): self.columns[curr_column].pop(1) self.columns[curr_column].pop(1) self.columns[curr_column].pop(1) self.columns[curr_column].insert(self.get_column_height(curr_column), adder.get_sum_wire()) else: self.columns[curr_column].pop(1) self.columns[curr_column].pop(1) self.columns[curr_column].insert(self.get_column_height(curr_column), adder.get_sum_wire()) if next_column-1 == curr_column: self.columns[next_column].insert(1, adder.get_carry_wire())