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"""
Hyperrealistic voltage-based logic gates for digital simulation.
Each gate operates on analog voltages, with digital 1/0 determined by thresholding.
Gate switching speed is parameterized to match target transistor switching rates.
"""
import random
# Constants for voltage logic
VDD = 0.7 # High voltage (V)
VSS = 0.0 # Low voltage (V)
VTH = 0.35 # Threshold voltage (V)
# Gate switching delay (in seconds) to match fastest possible switching
# This should be the minimum possible, based on electron_speed.py calculation
from electron_speed import max_switch_freq
GATE_DELAY = 1 / max_switch_freq # seconds per switch (theoretical limit)
class LogicGate:
def __init__(self, vdd=VDD, vss=VSS, vth=VTH, delay=GATE_DELAY):
self.vdd = vdd
self.vss = vss
self.vth = vth
self.delay = delay
def interpret(self, voltage):
"""Return digital 1 if voltage > Vth, else 0."""
return 1 if voltage > self.vth else 0
def voltage(self, bit):
"""Return voltage for digital bit."""
return self.vdd if bit else self.vss
class NANDGate(LogicGate):
def output(self, vin1, vin2):
# Interpret inputs as digital
in1 = self.interpret(vin1)
in2 = self.interpret(vin2)
# NAND logic: output is high unless both inputs are high
out_bit = 0 if (in1 and in2) else 1
# Add random noise for realism
noise = random.gauss(0, 0.01 * self.vdd)
return self.voltage(out_bit) + noise
class ANDGate(LogicGate):
def output(self, vin1, vin2):
in1 = self.interpret(vin1)
in2 = self.interpret(vin2)
out_bit = 1 if (in1 and in2) else 0
noise = random.gauss(0, 0.01 * self.vdd)
return self.voltage(out_bit) + noise
class ORGate(LogicGate):
def output(self, vin1, vin2):
in1 = self.interpret(vin1)
in2 = self.interpret(vin2)
out_bit = 1 if (in1 or in2) else 0
noise = random.gauss(0, 0.01 * self.vdd)
return self.voltage(out_bit) + noise
class NOTGate(LogicGate):
def output(self, vin):
in_bit = self.interpret(vin)
out_bit = 0 if in_bit else 1
noise = random.gauss(0, 0.01 * self.vdd)
return self.voltage(out_bit) + noise
# Example usage and test
if __name__ == "__main__":
nand = NANDGate()
andg = ANDGate()
org = ORGate()
notg = NOTGate()
print("NAND(0.7, 0.7):", nand.output(0.7, 0.7))
print("AND(0.7, 0.7):", andg.output(0.7, 0.7))
print("OR(0.0, 0.7):", org.output(0.0, 0.7))
print("NOT(0.7):", notg.output(0.7))
print(f"Gate delay (s): {GATE_DELAY:.2e}")
# --- Combinational Logic ---
class XORGate(LogicGate):
def output(self, vin1, vin2):
in1 = self.interpret(vin1)
in2 = self.interpret(vin2)
out_bit = 1 if (in1 != in2) else 0
noise = random.gauss(0, 0.01 * self.vdd)
return self.voltage(out_bit) + noise
class NORGate(LogicGate):
def output(self, vin1, vin2):
in1 = self.interpret(vin1)
in2 = self.interpret(vin2)
out_bit = 0 if (in1 or in2) else 1
noise = random.gauss(0, 0.01 * self.vdd)
return self.voltage(out_bit) + noise
class XNORGate(LogicGate):
def output(self, vin1, vin2):
in1 = self.interpret(vin1)
in2 = self.interpret(vin2)
out_bit = 1 if (in1 == in2) else 0
noise = random.gauss(0, 0.01 * self.vdd)
return self.voltage(out_bit) + noise
# Example: 1-bit Full Adder (combinational logic)
class FullAdder:
def __init__(self):
self.xor1 = XORGate()
self.xor2 = XORGate()
self.and1 = ANDGate()
self.and2 = ANDGate()
self.or1 = ORGate()
def output(self, a, b, cin):
sum1 = self.xor1.output(a, b)
sum_bit = self.xor2.output(sum1, cin)
carry1 = self.and1.output(a, b)
carry2 = self.and2.output(sum1, cin)
cout = self.or1.output(carry1, carry2)
return sum_bit, cout
# --- Sequential Logic ---
# SR, D, JK, T Flip-Flops (voltage-based, using gates)
class SRFlipFlop:
def __init__(self):
self.q = VSS
self.nand1 = NANDGate()
self.nand2 = NANDGate()
def output(self, s, r):
# s, r: voltages
q_bar = self.nand1.output(s, self.q)
self.q = self.nand2.output(r, q_bar)
return self.q
class DFlipFlop:
def __init__(self):
self.sr = SRFlipFlop()
def output(self, d, clk):
# On rising clock, sample d
s = d if clk > VTH else VSS
r = NOTGate().output(d) if clk > VTH else VSS
return self.sr.output(s, r)
class JKFlipFlop:
def __init__(self):
self.q = VSS
self.j = None
self.k = None
self.nand1 = NANDGate()
self.nand2 = NANDGate()
self.nand3 = NANDGate()
self.nand4 = NANDGate()
def output(self, j, k, clk):
# Simple JK: toggle on J=K=1, set/reset otherwise
if clk > VTH:
if j > VTH and k > VTH:
self.q = VDD if self.q == VSS else VSS
elif j > VTH:
self.q = VDD
elif k > VTH:
self.q = VSS
return self.q
class TFlipFlop:
def __init__(self):
self.q = VSS
def output(self, t, clk):
if clk > VTH and t > VTH:
self.q = VDD if self.q == VSS else VSS
return self.q
# Example: 2-bit Register (sequential logic)
class Register2Bit:
def __init__(self):
self.dff0 = DFlipFlop()
self.dff1 = DFlipFlop()
def output(self, d0, d1, clk):
q0 = self.dff0.output(d0, clk)
q1 = self.dff1.output(d1, clk)
return q0, q1
# Example usage
if __name__ == "__main__":
# ...existing code...
xor = XORGate()
print("XOR(0.7, 0.0):", xor.output(0.7, 0.0))
fa = FullAdder()
s, c = fa.output(0.7, 0.7, 0.0)
print("FullAdder(1,1,0): sum=", s, "carry=", c)
sr = SRFlipFlop()
print("SRFlipFlop S=1, R=0:", sr.output(0.7, 0.0))
dff = DFlipFlop()
print("DFlipFlop D=1, CLK=1:", dff.output(0.7, 0.7))
jk = JKFlipFlop()
print("JKFlipFlop J=1, K=1, CLK=1:", jk.output(0.7, 0.7, 0.7))
tff = TFlipFlop()
print("TFlipFlop T=1, CLK=1:", tff.output(0.7, 0.7))
reg = Register2Bit()
print("Register2Bit D0=1, D1=0, CLK=1:", reg.output(0.7, 0.0, 0.7))
# --- Functional Units and Modules ---
# Arithmetic Logic Unit (ALU) - 1-bit (can be extended to n-bit)
class ALU1Bit:
def __init__(self):
self.andg = ANDGate()
self.org = ORGate()
self.xorg = XORGate()
self.fadd = FullAdder()
def operate(self, a, b, cin, op):
"""
op: 2-bit operation selector
00 = AND, 01 = OR, 10 = ADD, 11 = XOR
Returns (result, carry_out)
"""
if op == 0b00:
return self.andg.output(a, b), 0.0
elif op == 0b01:
return self.org.output(a, b), 0.0
elif op == 0b10:
s, c = self.fadd.output(a, b, cin)
return s, c
elif op == 0b11:
return self.xorg.output(a, b), 0.0
else:
raise ValueError("Invalid ALU op")
# 2-bit ALU (example of module composition)
class ALU2Bit:
def __init__(self):
self.alu0 = ALU1Bit()
self.alu1 = ALU1Bit()
def operate(self, a0, a1, b0, b1, cin, op):
# Least significant bit
r0, c0 = self.alu0.operate(a0, b0, cin, op)
# Most significant bit
r1, c1 = self.alu1.operate(a1, b1, c0, op)
return (r0, r1), c1
# 2-bit Counter (using T flip-flops)
class Counter2Bit:
def __init__(self):
self.tff0 = TFlipFlop()
self.tff1 = TFlipFlop()
def tick(self, clk):
q0 = self.tff0.output(VDD, clk)
q1 = self.tff1.output(q0, clk)
return self.tff0.q, self.tff1.q
# 2x2-bit Register File (2 registers, 2 bits each)
class RegisterFile2x2:
def __init__(self):
self.reg0 = Register2Bit()
self.reg1 = Register2Bit()
self.sel = 0 # select register 0 or 1
def write(self, d0, d1, clk, sel):
if sel == 0:
self.reg0.output(d0, d1, clk)
else:
self.reg1.output(d0, d1, clk)
def read(self, sel):
if sel == 0:
return self.reg0.dff0.sr.q, self.reg0.dff1.sr.q
else:
return self.reg1.dff0.sr.q, self.reg1.dff1.sr.q
# Example usage of functional units
if __name__ == "__main__":
# ...existing code...
alu = ALU1Bit()
res, cout = alu.operate(0.7, 0.0, 0.0, 0b10)
print("ALU1Bit ADD 1+0: result=", res, "carry=", cout)
alu2 = ALU2Bit()
(r0, r1), c = alu2.operate(0.7, 0.0, 0.7, 0.7, 0.0, 0b10)
print("ALU2Bit ADD (10)+(11): result=", (r0, r1), "carry=", c)
counter = Counter2Bit()
print("Counter2Bit tick 1:", counter.tick(0.7))
print("Counter2Bit tick 2:", counter.tick(0.7))
regfile = RegisterFile2x2()
regfile.write(0.7, 0.0, 0.7, 0)
regfile.write(0.0, 0.7, 0.7, 1)
print("RegisterFile2x2 read reg0:", regfile.read(0))
print("RegisterFile2x2 read reg1:", regfile.read(1))
# --- Control Unit, Registers, and Memory Management Units ---
# Simple Control Unit (Finite State Machine for ALU operations)
class ControlUnit:
def __init__(self):
self.state = 0
self.opcode = 0b00 # default operation
def set_opcode(self, opcode):
self.opcode = opcode
def next_state(self):
self.state = (self.state + 1) % 4
return self.state
def get_control_signals(self):
# Example: output ALU op and register select
reg_sel = self.state % 2
return {'alu_op': self.opcode, 'reg_sel': reg_sel}
# General Purpose Register (n-bit, here 2-bit for demo)
class GeneralPurposeRegister:
def __init__(self, bits=2):
self.bits = bits
self.dffs = [DFlipFlop() for _ in range(bits)]
def write(self, data, clk):
for i in range(self.bits):
self.dffs[i].output(data[i], clk)
def read(self):
return tuple(self.dffs[i].sr.q for i in range(self.bits))
# Simple Memory Management Unit (MMU) - address decode and register file access
class SimpleMMU:
def __init__(self, num_registers=2, bits=2):
self.registers = [GeneralPurposeRegister(bits) for _ in range(num_registers)]
def write(self, addr, data, clk):
if 0 <= addr < len(self.registers):
self.registers[addr].write(data, clk)
def read(self, addr):
if 0 <= addr < len(self.registers):
return self.registers[addr].read()
return None
# Example usage of control and memory units
if __name__ == "__main__":
# ...existing code...
cu = ControlUnit()
cu.set_opcode(0b10) # ADD
print("ControlUnit state:", cu.next_state(), cu.get_control_signals())
gpr = GeneralPurposeRegister(bits=2)
gpr.write([0.7, 0.0], 0.7)
print("GeneralPurposeRegister read:", gpr.read())
mmu = SimpleMMU(num_registers=2, bits=2)
mmu.write(0, [0.7, 0.0], 0.7)
mmu.write(1, [0.0, 0.7], 0.7)
print("SimpleMMU read reg0:", mmu.read(0))
print("SimpleMMU read reg1:", mmu.read(1))
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