from migen.fhdl import structure as f def log2_int(n, need_pow2=True): l = 1 r = 0 while l < n: l *= 2 r += 1 if need_pow2 and l != n: raise ValueError("Not a power of 2") return r def bits_for(n, require_sign_bit=False): if n > 0: r = log2_int(n + 1, False) else: require_sign_bit = True r = log2_int(-n, False) if require_sign_bit: r += 1 return r def value_bits_sign(v): if isinstance(v, bool): return 1, False elif isinstance(v, int): return bits_for(v), v < 0 elif isinstance(v, f.Signal): return v.nbits, v.signed elif isinstance(v, (f.ClockSignal, f.ResetSignal)): return 1, False elif isinstance(v, f._Operator): obs = list(map(value_bits_sign, v.operands)) if v.op == "+" or v.op == "-": if not obs[0][1] and not obs[1][1]: # both operands unsigned return max(obs[0][0], obs[1][0]) + 1, False elif obs[0][1] and obs[1][1]: # both operands signed return max(obs[0][0], obs[1][0]) + 1, True elif not obs[0][1] and obs[1][1]: # first operand unsigned (add sign bit), second operand signed return max(obs[0][0] + 1, obs[1][0]) + 1, True else: # first signed, second operand unsigned (add sign bit) return max(obs[0][0], obs[1][0] + 1) + 1, True elif v.op == "*": if not obs[0][1] and not obs[1][1]: # both operands unsigned return obs[0][0] + obs[1][0] elif obs[0][1] and obs[1][1]: # both operands signed return obs[0][0] + obs[1][0] - 1 else: # one operand signed, the other unsigned (add sign bit) return obs[0][0] + obs[1][0] + 1 - 1 elif v.op == "<<<": if obs[1][1]: extra = 2**(obs[1][0] - 1) - 1 else: extra = 2**obs[1][0] - 1 return obs[0][0] + extra, obs[0][1] elif v.op == ">>>": if obs[1][1]: extra = 2**(obs[1][0] - 1) else: extra = 0 return obs[0][0] + extra, obs[0][1] elif v.op == "&" or v.op == "^" or v.op == "|": if not obs[0][1] and not obs[1][1]: # both operands unsigned return max(obs[0][0], obs[1][0]), False elif obs[0][1] and obs[1][1]: # both operands signed return max(obs[0][0], obs[1][0]), True elif not obs[0][1] and obs[1][1]: # first operand unsigned (add sign bit), second operand signed return max(obs[0][0] + 1, obs[1][0]), True else: # first signed, second operand unsigned (add sign bit) return max(obs[0][0], obs[1][0] + 1), True elif v.op == "<" or v.op == "<=" or v.op == "==" or v.op == "!=" \ or v.op == ">" or v.op == ">=": return 1, False elif v.op == "~": return obs[0] else: raise TypeError elif isinstance(v, f._Slice): return v.stop - v.start, value_bits_sign(v.value)[1] elif isinstance(v, f.Cat): return sum(value_bits_sign(sv)[0] for sv in v.l), False elif isinstance(v, f.Replicate): return (value_bits_sign(v.v)[0])*v.n, False elif isinstance(v, f._ArrayProxy): bsc = map(value_bits_sign, v.choices) return max(bs[0] for bs in bsc), any(bs[1] for bs in bsc) else: raise TypeError("Can not calculate bit length of {} {}".format( type(v), v)) def flen(v): """Bit length of an expression Parameters ---------- v : int, bool or Value Returns ------- int Number of bits required to store `v` or available in `v` Examples -------- >>> flen(f.Signal(8)) 8 >>> flen(0xaa) 8 """ return value_bits_sign(v)[0] def fiter(v): """Bit iterator Parameters ---------- v : int, bool or Value Returns ------- iter Iterator over the bits in `v` Examples -------- >>> list(fiter(f.Signal(2))) #doctest: +ELLIPSIS [, ] >>> list(fiter(4)) [0, 0, 1] """ if isinstance(v, (bool, int)): return ((v >> i) & 1 for i in range(bits_for(v))) elif isinstance(v, f.Value): return (v[i] for i in range(flen(v))) else: raise TypeError("Can not bit-iterate {} {}".format(type(v), v)) def fslice(v, s): """Bit slice Parameters ---------- v : int, bool or Value s : slice or int Returns ------- int or Value Expression for the slice `s` of `v`. Examples -------- >>> fslice(Signal(2), 1) #doctest: +ELLIPSIS >>> bin(fslice(0b1101, slice(1, None, 2))) '0b10' """ if isinstance(v, (bool, int)): if isinstance(s, int): s = slice(s) idx = range(*s.indices(flen(v))) return sum(((v>>i) & 1) << j for j, i in enumerate(idx)) elif isinstance(v, f.Value): return v[s] else: raise TypeError("Can not bit-slice {} {}".format(type(v), v)) def freversed(v): """Bit reverse Parameters ---------- v : int, bool or Value Returns ------- int or Value Expression containing the bit reversed input. Examples -------- >>> freversed(Signal(2)) #doctest: +ELLIPSIS >>> bin(freversed(0b1011)) '0b1101' """ return fslice(v, slice(None, None, -1))