from itertools import combinations_with_replacement from arithmetic_circuits import arithmetic_circuit, multiplier_circuit from one_bit_circuits import half_adder, full_adder from logic_gates import logic_gate, and_gate, nand_gate, or_gate, nor_gate, xor_gate, xnor_gate, not_gate from wire_components import wire, bus """ MULTI BIT CIRCUITS """ # ADDERS class unsigned_ripple_carry_adder(arithmetic_circuit): def __init__(self, a: bus, b: bus, prefix: str = "u_rca"): super().__init__() self.N = max(a.N, b.N) self.a = bus(prefix=a.prefix, wires_list=a.bus) self.b = bus(prefix=b.prefix, wires_list=b.bus) # Bus sign extension in case buses have different lengths self.a.bus_extend(N=self.N, prefix=a.prefix) self.b.bus_extend(N=self.N, prefix=b.prefix) if prefix == "u_rca" or prefix == "s_rca": self.prefix = prefix+str(self.N) else: self.prefix = prefix # Output wires for N sum bits and additional cout bit self.out = bus("out", self.N+1) # TODO replace ha for fa??? # Gradual addition of 1-bit adder components for input_index in range(self.N): # First one is a half adder if input_index == 0: obj_ha = half_adder(self.a.get_wire(input_index), self.b.get_wire(input_index), prefix=self.prefix+"_ha") self.add_component(obj_ha) self.out.connect(input_index, obj_ha.get_sum_wire()) if input_index == (self.N-1): self.out.connect(self.N, obj_ha.get_carry_wire()) # Rest are full adders else: obj_fa = full_adder(self.a.get_wire(input_index), self.b.get_wire(input_index), self.get_previous_component().get_carry_wire(), prefix=self.prefix+"_fa"+str(input_index)) self.add_component(obj_fa) self.out.connect(input_index, obj_fa.get_sum_wire()) if input_index == (self.N-1): self.out.connect(self.N, obj_fa.get_carry_wire()) class signed_ripple_carry_adder(unsigned_ripple_carry_adder, arithmetic_circuit): def __init__(self, a: bus, b: bus, prefix: str = "s_rca"): super().__init__(a=a, b=b, prefix=prefix) self.c_data_type = "int64_t" # Additional XOR gates to ensure correct sign extension in case of sign addition sign_xor_1 = xor_gate(self.get_previous_component(1).a, self.get_previous_component(1).b, prefix=self.prefix+"_xor"+str(self.get_instance_num(cls=xor_gate))) self.add_component(sign_xor_1) sign_xor_2 = xor_gate(sign_xor_1.out, self.get_previous_component(2).get_carry_wire(), prefix=self.prefix+"_xor"+str(self.get_instance_num(cls=xor_gate))) self.add_component(sign_xor_2) self.out.connect(self.N, sign_xor_2.out) # TODO CHANGE!!! test, think about proper P/G gates generation class unsigned_carry_lookahead_adder(arithmetic_circuit): def __init__(self, a: bus, b: bus, prefix: str = "u_cla"): super().__init__() self.N = max(a.N, b.N) self.a = bus(prefix=a.prefix, wires_list=a.bus) self.b = bus(prefix=b.prefix, wires_list=b.bus) # Bus sign extension in case buses have different lengths self.a.bus_extend(N=self.N, prefix=a.prefix) self.b.bus_extend(N=self.N, prefix=b.prefix) if prefix == "u_cla" or prefix == "s_cla": self.prefix = prefix+str(self.N) else: self.prefix = prefix # Output wires for N sum bits and additional cout bit self.out = bus("out", self.N+1) # Generating wire with constant logic value 0 (output of the nor gate), used as cin to first fa obj_xor = xor_gate(self.a.get_wire(), self.b.get_wire(), prefix=self.prefix+"_xor_constant_wire") obj_xnor = xnor_gate(self.a.get_wire(), self.b.get_wire(), prefix=self.prefix+"_xnor_constant_wire") obj_nor = nor_gate(obj_xor.out, obj_xnor.out, prefix=self.prefix+"_nor_constant_wire") obj_nor.out.name = "constant_wire" obj_nor.out.prefix = "constant_wire" self.add_component(obj_xor) self.add_component(obj_xnor) self.add_component(obj_nor) # Gradual addition of 1-bit adder components for input_index in range(self.N): obj_fa = full_adder(self.a.get_wire(input_index), self.b.get_wire(input_index), self.get_previous_component().out, prefix=self.prefix+"_fa"+str(input_index)) self.add_component(obj_fa) self.out.connect(input_index, obj_fa.get_sum_wire()) if input_index == (self.N-1): self.out.connect(self.N, obj_fa.get_carry_wire()) else: obj_and = and_gate(self.get_previous_component().get_carry_wire(), self.get_previous_component().propagate.out, prefix=self.prefix+"_and"+str(input_index)) obj_xor = xor_gate(obj_and.out, self.get_previous_component().generate.out, prefix=self.prefix+"_xor"+str(input_index)) self.add_component(self.get_previous_component().propagate) self.add_component(self.get_previous_component(2).generate) self.add_component(obj_and) self.add_component(obj_xor) # TODO CHANGE!!! class signed_carry_lookahead_adder(unsigned_carry_lookahead_adder, arithmetic_circuit): def __init__(self, a: bus, b: bus, prefix: str = "s_cla"): super().__init__(a=a, b=b, prefix=prefix) self.c_data_type = "int64_t" # Additional XOR gates to ensure correct sign extension in case of sign addition sign_xor_1 = xor_gate(self.get_previous_component(1).a, self.get_previous_component(1).b, prefix=self.prefix+"_xor"+str(self.get_instance_num(cls=xor_gate))) self.add_component(sign_xor_1) sign_xor_2 = xor_gate(sign_xor_1.out, self.get_previous_component(2).get_carry_wire(), prefix=self.prefix+"_xor"+str(self.get_instance_num(cls=xor_gate))) self.add_component(sign_xor_2) self.out.connect(self.N, sign_xor_2.out) # MULTIPLIERS class unsigned_array_multiplier(multiplier_circuit): def __init__(self, a: bus, b: bus, prefix: str = "u_arr_mul"): super().__init__() self.N = max(a.N, b.N) self.a = bus(prefix=a.prefix, wires_list=a.bus) self.b = bus(prefix=b.prefix, wires_list=b.bus) # Bus sign extension in case buses have different lengths self.a.bus_extend(N=self.N, prefix=a.prefix) self.b.bus_extend(N=self.N, prefix=b.prefix) if prefix == "u_arr_mul": self.prefix = prefix+str(self.N) else: self.prefix = prefix # Output wires for multiplication product self.out = bus("out", self.N*2) # Gradual generation of partial products for b_multiplier_index in range(self.N): for a_multiplicand_index in range(self.N): # AND gates generation for calculation of partial products obj_and = and_gate(self.a.get_wire(a_multiplicand_index), self.b.get_wire(b_multiplier_index), prefix=self.prefix+"_and"+str(a_multiplicand_index)+"_"+str(b_multiplier_index)) self.add_component(obj_and) if b_multiplier_index != 0: previous_product = self.components[a_multiplicand_index + b_multiplier_index].out if b_multiplier_index == 1 else self.get_previous_partial_product(a_index=a_multiplicand_index, b_index=b_multiplier_index) # HA generation for first 1-bit adder in each row starting from the second one if a_multiplicand_index == 0: obj_adder = half_adder(self.get_previous_component().out, previous_product, prefix=self.prefix+"_ha"+str(a_multiplicand_index)+"_"+str(b_multiplier_index)) self.add_component(obj_adder) # Product generation self.out.connect(b_multiplier_index, obj_adder.get_sum_wire()) # HA generation, last 1-bit adder in second row elif a_multiplicand_index == self.N-1 and b_multiplier_index == 1: obj_adder = half_adder(self.get_previous_component().out, self.get_previous_component(number=2).get_carry_wire(), prefix=self.prefix+"_ha"+str(a_multiplicand_index)+"_"+str(b_multiplier_index)) self.add_component(obj_adder) # FA generation else: obj_adder = full_adder(self.get_previous_component().out, previous_product, self.get_previous_component(number=2).get_carry_wire(), prefix=self.prefix+"_fa"+str(a_multiplicand_index)+"_"+str(b_multiplier_index)) self.add_component(obj_adder) # PRODUCT GENERATION if a_multiplicand_index == 0 and b_multiplier_index == 0: self.out.connect(a_multiplicand_index, obj_and.out) # 1 bit multiplier case if a_multiplicand_index == self.N-1: obj_xor = xor_gate(self.a.get_wire(), self.b.get_wire(), prefix=self.prefix+"_xor_constant_wire") obj_xnor = xnor_gate(self.a.get_wire(), self.b.get_wire(), prefix=self.prefix+"_xnor_constant_wire") obj_and = and_gate(obj_xor.out, obj_xnor.out, prefix=self.prefix+"_and_constant_wire") obj_and.out.name = "constant_wire" obj_and.out.prefix = "constant_wire" self.add_component(obj_xor) self.add_component(obj_xnor) self.add_component(obj_and) self.out.connect(a_multiplicand_index+1, obj_and.out) elif b_multiplier_index == self.N-1: self.out.connect(b_multiplier_index + a_multiplicand_index, obj_adder.get_sum_wire()) if a_multiplicand_index == self.N-1: self.out.connect(self.out.N-1, obj_adder.get_carry_wire()) class signed_array_multiplier(multiplier_circuit): def __init__(self, a: bus, b: bus, prefix: str = "s_arr_mul"): super().__init__() self.c_data_type = "int64_t" self.N = max(a.N, b.N) self.a = bus(prefix=a.prefix, wires_list=a.bus) self.b = bus(prefix=b.prefix, wires_list=b.bus) # Bus sign extension in case buses have different lengths self.a.bus_extend(N=self.N, prefix=a.prefix) self.b.bus_extend(N=self.N, prefix=b.prefix) if prefix == "s_arr_mul": self.prefix = prefix+str(self.N) else: self.prefix = prefix # Output wires for multiplication product self.out = bus("out", self.N*2) # Generating wire with constant logic value 1 (output of the or gate) obj_xor = xor_gate(self.a.get_wire(), self.b.get_wire(), prefix=self.prefix+"_xor_constant_wire") obj_xnor = xnor_gate(self.a.get_wire(), self.b.get_wire(), prefix=self.prefix+"_xnor_constant_wire") obj_or = or_gate(obj_xor.out, obj_xnor.out, prefix=self.prefix+"_or_constant_wire") obj_or.out.name = "constant_wire" obj_or.out.prefix = "constant_wire" self.add_component(obj_xor) self.add_component(obj_xnor) self.add_component(obj_or) # To adjust proper wire connection between adders and AND/NAND gates # we add offset equal to first 3 gates in circuits components list (that are present to prevent the need to use constant wire with logic value 1) components_offset = 3 # Gradual generation of partial products for b_multiplier_index in range(self.N): for a_multiplicand_index in range(self.N): # AND and NAND gates generation for calculation of partial products and sign extension if (b_multiplier_index == self.N-1 and a_multiplicand_index != self.N-1) or (b_multiplier_index != self.N-1 and a_multiplicand_index == self.N-1): obj_nand = nand_gate(self.a.get_wire(a_multiplicand_index), self.b.get_wire(b_multiplier_index), prefix=self.prefix+"_nand"+str(a_multiplicand_index)+"_"+str(b_multiplier_index)) self.add_component(obj_nand) else: obj_and = and_gate(self.a.get_wire(a_multiplicand_index), self.b.get_wire(b_multiplier_index), prefix=self.prefix+"_and"+str(a_multiplicand_index)+"_"+str(b_multiplier_index)) self.add_component(obj_and) if b_multiplier_index != 0: previous_product = self.components[a_multiplicand_index + b_multiplier_index + components_offset].out if b_multiplier_index == 1 else self.get_previous_partial_product(a_index=a_multiplicand_index, b_index=b_multiplier_index, offset=components_offset) # HA generation for first 1-bit adder in each row starting from the second one if a_multiplicand_index == 0: obj_adder = half_adder(self.get_previous_component().out, previous_product, prefix=self.prefix+"_ha"+str(a_multiplicand_index)+"_"+str(b_multiplier_index)) self.add_component(obj_adder) # Product generation self.out.connect(b_multiplier_index, obj_adder.get_sum_wire()) # FA generation else: if a_multiplicand_index == self.N-1 and b_multiplier_index == 1: previous_product = obj_or.out obj_adder = full_adder(self.get_previous_component().out, previous_product, self.get_previous_component(number=2).get_carry_wire(), prefix=self.prefix+"_fa"+str(a_multiplicand_index)+"_"+str(b_multiplier_index)) self.add_component(obj_adder) # PRODUCT GENERATION if a_multiplicand_index == 0 and b_multiplier_index == 0: self.out.connect(a_multiplicand_index, obj_and.out) # 1 bit multiplier case if a_multiplicand_index == self.N-1: obj_nor = nor_gate(obj_or.out, self.get_previous_component().out, prefix=self.prefix+"_nor_zero_extend") self.add_component(obj_nor) self.out.connect(a_multiplicand_index+1, obj_nor.out) elif b_multiplier_index == self.N-1: self.out.connect(b_multiplier_index + a_multiplicand_index, obj_adder.get_sum_wire()) if a_multiplicand_index == self.N-1: obj_xor = xor_gate(self.get_previous_component().get_carry_wire(), obj_or.out, prefix=self.prefix+"_xor"+str(a_multiplicand_index+1)+"_"+str(b_multiplier_index)) self.add_component(obj_xor) self.out.connect(self.out.N-1, obj_xor.out) class unsigned_dadda_multiplier(multiplier_circuit): def __init__(self, a: bus, b: bus, prefix: str = "u_dadda_mul"): super().__init__() self.N = max(a.N, b.N) self.a = bus(prefix=a.prefix, wires_list=a.bus) self.b = bus(prefix=b.prefix, wires_list=b.bus) # Bus sign extension in case buses have different lengths self.a.bus_extend(N=self.N, prefix=a.prefix) self.b.bus_extend(N=self.N, prefix=b.prefix) if prefix == "u_dadda_mul" or prefix == "s_dadda_mul": self.prefix = prefix+str(self.N) else: self.prefix = prefix # Output wires for multiplication product self.out = bus("out", self.N*2) # Get starting stage and maximum possible column height self.stage, self.d = self.get_maximum_height(initial_value=min(self.a.N, self.b.N)) self.columns = self.init_column_heights() # Perform reduction until stage 0 for stage in range(self.stage, 0, -1): col = 0 while col < len(self.columns): if self.get_column_height(col) == self.d + 1: # Add half adder and also and gates if neccesarry (via get_column_wire invocation) into list of circuits components obj_adder = half_adder(self.get_column_wire(column=col, bit=1), self.get_column_wire(column=col, bit=2), prefix=self.prefix+"_ha"+str(self.get_instance_num(cls=half_adder))) self.add_component(obj_adder) # Update the number of current and next column wires self.update_column_heights(curr_column=col, curr_height_change=-1, next_column=col+1, next_height_change=1) # Update current and next column wires arrangement # add ha's generated sum to the bottom of current column # add ha's generated cout to the top of next column self.update_column_wires(curr_column=col, next_column=col+1, adder=self.get_previous_component(1)) elif self.get_column_height(col) > self.d: # Add full adder and also and gates if neccesarry (via get_column_wire invocation) into list of circuits components obj_adder = full_adder(self.get_column_wire(column=col, bit=1), self.get_column_wire(column=col, bit=2), self.get_column_wire(column=col, bit=3), prefix=self.prefix+"_fa"+str(self.get_instance_num(cls=full_adder))) self.add_component(obj_adder) # Update the number of current and next column wires self.update_column_heights(curr_column=col, curr_height_change=-2, next_column=col+1, next_height_change=1) # Update current and next column wires arrangement # add fa's generated sum to the bottom of current column # add fa's generated cout to the top of next column self.update_column_wires(curr_column=col, next_column=col+1, adder=self.get_previous_component(1)) # Next iteration with same column in case there is need for further reduction col -= 1 col += 1 # Update maximum possible column height _, self.d = self.get_maximum_height(stage) # Output generation # Final addition of remaining bits using RCA # TODO add CLA self.out.connect(0, self.get_column_wire(column=0, bit=1)) # 1 bit multiplier case if 1 == self.N: obj_xor = xor_gate(self.a.get_wire(), self.b.get_wire(), prefix=self.prefix+"_xor_constant_wire") obj_xnor = xnor_gate(self.a.get_wire(), self.b.get_wire(), prefix=self.prefix+"_xnor_constant_wire") obj_and = and_gate(obj_xor.out, obj_xnor.out, prefix=self.prefix+"_and_constant_wire") obj_and.out.name = "constant_wire" obj_and.out.prefix = "constant_wire" self.add_component(obj_xor) self.add_component(obj_xnor) self.add_component(obj_and) self.out.connect(1, obj_and.out) # 2 bit multiplier case elif 2 == self.N: obj_ha = half_adder(self.get_column_wire(column=1, bit=1), self.get_column_wire(column=1, bit=2), prefix=self.prefix+"_ha"+str(self.get_instance_num(cls=half_adder))) self.add_component(obj_ha) self.out.connect(1, obj_ha.get_sum_wire()) obj_ha = half_adder(self.get_previous_component().get_carry_wire(), self.get_column_wire(column=2, bit=1), prefix=self.prefix+"_ha"+str(self.get_instance_num(cls=half_adder))) self.add_component(obj_ha) self.out.connect(2, obj_ha.get_sum_wire()) self.out.connect(3, obj_ha.get_carry_wire()) # Final addition of remaining bits using RCA # TODO add CLA else: rca_a = bus(prefix="rca_a", wires_list=[self.get_column_wire(column=col, bit=1) for col in range(1, len(self.columns))]) rca_b = bus(prefix="rca_b", wires_list=[self.get_column_wire(column=col, bit=2) for col in range(1, len(self.columns))]) rca = unsigned_ripple_carry_adder(a=rca_a, b=rca_b, prefix=self.prefix+"_u_rca"+str(len(self.columns)-1)) self.add_component(rca) [self.out.connect(o, rca.out.get_wire(o-1)) for o in range(1, len(self.out.bus))] # TODO signed dadda_multiplier