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#
# This file is part of HackRF.
#
# Copyright (c) 2025 Great Scott Gadgets <info@greatscottgadgets.com>
# Copyright (c) 2024 S. Holzapfel <me@sebholzapfel.com>
# SPDX-License-Identifier: BSD-3-Clause
#
# from https://github.com/apfaudio/tiliqua/blob/main/gateware/src/amaranth_future/fixed.py
# which is also derived from https://github.com/amaranth-lang/amaranth/pull/1005
# slightly modified
from amaranth import hdl
from amaranth.utils import bits_for
from dsp.round import convergent_round
__all__ = ["Shape", "SQ", "UQ", "Value", "Const"]
class Shape(hdl.ShapeCastable):
def __init__(self, i_or_f_width, f_width = None, /, *, signed):
if f_width is None:
self.i_width, self.f_width = 0, i_or_f_width
else:
self.i_width, self.f_width = i_or_f_width, f_width
self.signed = bool(signed)
@staticmethod
def cast(shape, f_width=0):
if not isinstance(shape, hdl.Shape):
raise TypeError(f"Object {shape!r} cannot be converted to a fixed.Shape")
# i_width is what's left after subtracting f_width and sign bit, but can't be negative.
i_width = max(0, shape.width - shape.signed - f_width)
return Shape(i_width, f_width, signed = shape.signed)
def as_shape(self):
return hdl.Shape(self.signed + self.i_width + self.f_width, self.signed)
def __call__(self, target):
return Value(self, target)
def const(self, value):
if value is None:
value = 0
return Const(value, self)._target
def from_bits(self, raw):
c = Const(0, self)
c._value = raw
return c
def max(self):
c = Const(0, self)
c._value = c._max_value()
return c
def min(self):
c = Const(0, self)
c._value = c._min_value()
return c
def __repr__(self):
return f"fixed.Shape({self.i_width}, {self.f_width}, signed={self.signed})"
class SQ(Shape):
def __init__(self, *args):
super().__init__(*args, signed = True)
class UQ(Shape):
def __init__(self, *args):
super().__init__(*args, signed = False)
class Value(hdl.ValueCastable):
def __init__(self, shape, target):
self._shape = shape
self._target = target
@staticmethod
def cast(value, f_width=0):
return Shape.cast(value.shape(), f_width)(value)
def round(self, f_width=0):
# If we're increasing precision, extend with more fractional bits.
if f_width > self.f_width:
return Shape(self.i_width, f_width, signed = self.signed)(hdl.Cat(hdl.Const(0, f_width - self.f_width), self.raw()))
# If we're reducing precision, perform convergent rounding (round to even).
elif f_width < self.f_width:
return Shape(self.i_width, f_width, signed = self.signed)( convergent_round(self.raw(), self.f_width - f_width) )
return self
def truncate(self, f_width=0):
return Shape(self.i_width, f_width, signed = self.signed)(self.raw()[self.f_width - f_width:])
@property
def i_width(self):
return self._shape.i_width
@property
def f_width(self):
return self._shape.f_width
@property
def signed(self):
return self._shape.signed
def as_value(self):
return self._target
def raw(self):
"""
Adding an `s ( )` signedness wrapper in `as_value` when needed
breaks lib.wiring for some reason. In the future, raw() and
`as_value()` should be combined.
"""
if self.signed:
return self._target.as_signed()
return self._target
def shape(self):
return self._shape
def eq(self, other):
# Regular values are assigned directly to the underlying value.
if isinstance(other, hdl.Value):
return self.raw().eq(other)
# int and float are cast to fixed.Const.
elif isinstance(other, int) or isinstance(other, float):
other = Const(other, self.shape())
# Other value types are unsupported.
elif not isinstance(other, Value):
raise TypeError(f"Object {other!r} cannot be converted to a fixed.Value")
# Match precision.
other = other.round(self.f_width)
return self.raw().eq(other.raw())
def __mul__(self, other):
# Regular values are cast to fixed.Value
if isinstance(other, hdl.Value):
other = Value.cast(other)
# int are cast to fixed.Const
elif isinstance(other, int):
other = Const(other)
# Other value types are unsupported.
elif not isinstance(other, Value):
raise TypeError(f"Object {other!r} cannot be converted to a fixed.Value")
return Value.cast(self.raw() * other.raw(), self.f_width + other.f_width)
def __rmul__(self, other):
return self.__mul__(other)
def __add__(self, other):
# Regular values are cast to fixed.Value
if isinstance(other, hdl.Value):
other = Value.cast(other)
# int are cast to fixed.Const
elif isinstance(other, int):
other = Const(other)
# Other value types are unsupported.
elif not isinstance(other, Value):
raise TypeError(f"Object {other!r} cannot be converted to a fixed.Value")
f_width = max(self.f_width, other.f_width)
return Value.cast(self.round(f_width).raw() + other.round(f_width).raw(), f_width)
def __radd__(self, other):
return self.__add__(other)
def __sub__(self, other):
# Regular values are cast to fixed.Value
if isinstance(other, hdl.Value):
other = Value.cast(other)
# int are cast to fixed.Const
elif isinstance(other, int):
other = Const(other)
# Other value types are unsupported.
elif not isinstance(other, Value):
raise TypeError(f"Object {other!r} cannot be converted to a fixed.Value")
f_width = max(self.f_width, other.f_width)
return Value.cast(self.round(f_width).raw() - other.round(f_width).raw(), f_width)
def __rsub__(self, other):
return -self.__sub__(other)
def __pos__(self):
return self
def __neg__(self):
return Value.cast(-self.raw(), self.f_width)
def __abs__(self):
return Value.cast(abs(self.raw()), self.f_width)
def __lshift__(self, other):
if isinstance(other, int):
if other < 0:
raise ValueError("Shift amount cannot be negative")
if other > self.f_width:
return Value.cast(hdl.Cat(hdl.Const(0, other - self.f_width), self.raw()))
else:
return Value.cast(self.raw(), self.f_width - other)
elif not isinstance(other, hdl.Value):
raise TypeError("Shift amount must be an integer value")
if other.signed:
raise TypeError("Shift amount must be unsigned")
return Value.cast(self.raw() << other, self.f_width)
def __rshift__(self, other):
if isinstance(other, int):
if other < 0:
raise ValueError("Shift amount cannot be negative")
return Value.cast(self.raw(), self.f_width + other)
elif not isinstance(other, hdl.Value):
raise TypeError("Shift amount must be an integer value")
if other.signed:
raise TypeError("Shift amount must be unsigned")
# Extend f_width by maximal shift amount.
f_width = self.f_width + 2**other.width - 1
return Value.cast(self.round(f_width).raw() >> other, f_width)
def __lt__(self, other):
if isinstance(other, hdl.Value):
other = Value.cast(other)
elif isinstance(other, int):
other = Const(other)
elif not isinstance(other, Value):
raise TypeError(f"Object {other!r} cannot be converted to a fixed.Value")
f_width = max(self.f_width, other.f_width)
return self.round(f_width).raw() < other.round(f_width).raw()
def __ge__(self, other):
return ~self.__lt__(other)
def __eq__(self, other):
if isinstance(other, hdl.Value):
other = Value.cast(other)
elif isinstance(other, int):
other = Const(other)
elif not isinstance(other, Value):
raise TypeError(f"Object {other!r} cannot be converted to a fixed.Value")
f_width = max(self.f_width, other.f_width)
return self.round(f_width).raw() == other.round(f_width).raw()
def __repr__(self):
return f"(fixedpoint {'SQ' if self.signed else 'UQ'}{self.i_width}.{self.f_width} {self._target!r})"
class Const(Value):
def __init__(self, value, shape=None):
if isinstance(value, float) or isinstance(value, int):
num, den = value.as_integer_ratio()
elif isinstance(value, Const):
# FIXME: Memory inits seem to construct a fixed.Const with fixed.Const
self._shape = value._shape
self._value = value._value
return
else:
raise TypeError(f"Object {value!r} cannot be converted to a fixed.Const")
# Determine smallest possible shape if not already selected.
if shape is None:
f_width = bits_for(den) - 1
i_width = max(0, bits_for(abs(num)) - f_width)
shape = Shape(i_width, f_width, signed = num < 0)
# Scale value to given precision.
if 2**shape.f_width > den:
num *= 2**shape.f_width // den
elif 2**shape.f_width < den:
num = round(num / (den // 2**shape.f_width))
value = num
self._shape = shape
if value > self._max_value():
print("WARN fixed.Const: clamp", value, "to", self._max_value())
value = self._max_value()
if value < self._min_value():
print("WARN fixed.Const: clamp", value, "to", self._min_value())
value = self._min_value()
self._value = value
def _max_value(self):
return 2**(self._shape.i_width +
self._shape.f_width) - 1
def _min_value(self):
if self._shape.signed:
return -1 * 2**(self._shape.i_width +
self._shape.f_width)
else:
return 0
@property
def _target(self):
return hdl.Const(self._value, self._shape.as_shape())
def as_integer_ratio(self):
return self._value, 2**self.f_width
def as_float(self):
if self._value > self._max_value():
v = self._min_value() + self._value - self._max_value() - 1
else:
v = self._value
return v / 2**self.f_width
# TODO: Operators
def __mul__(self, other):
# Regular values are cast to fixed.Value
if isinstance(other, hdl.Value):
other = Value.cast(other)
# int are cast to fixed.Const
elif isinstance(other, int):
other = Const(other)
# Other value types are unsupported.
elif not isinstance(other, Value):
raise TypeError(f"Object {other!r} cannot be converted to a fixed.Value")
return Value.cast(self.raw() * other.raw(), self.f_width + other.f_width)
def __rmul__(self, other):
return self.__mul__(other)
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