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Angus Lothian
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Contains some of the most commonly used mathematical operations.
from typing import Dict, Optional
from numpy import abs as np_abs
from numpy import conjugate, sqrt
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from b_asic.graph_component import Name, TypeName
from b_asic.operation import AbstractOperation
from b_asic.port import SignalSourceProvider
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Gives a specified value that remains constant for every iteration.
.. math:: y = \text{value}
Parameters
==========
value : Number, default: 0
The constant value.
name : Name, optional
Operation name.
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"""Construct a Constant operation with the given value."""
super().__init__(
input_count=0,
output_count=1,
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self.set_param("value", value)
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@classmethod
def type_name(cls) -> TypeName:
def evaluate(self):
return self.param("value")
@property
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"""Get the constant value of this operation."""
return self.param("value")
@value.setter
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"""Set the constant value of this operation."""
@property
def latency(self) -> int:
return self.latency_offsets["out0"]
def __repr__(self) -> str:
return f"Constant({self.value})"
def __str__(self) -> str:
return f"{self.value}"
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Gives the result of adding two inputs.
.. math:: y = x_0 + x_1
Parameters
==========
src0, src1 : SignalSourceProvider, optional
The two signals to add.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times, e.g.,
``{"in0": 0, "in1": 1}`` which corresponds to *src1* arriving one
time unit later than *src0*. If not provided and *latency* is
provided, set to zero if not explicitly provided. So the previous
example can be written as ``{"in1": 1}`` only.
execution_time : int, optional
Operation execution time (time units before operator can be
reused).
See also
========
AddSub
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"""
is_swappable = True
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
"""
Construct an Addition operation.
"""
super().__init__(
input_count=2,
output_count=1,
input_sources=[src0, src1],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
def evaluate(self, a, b):
return a + b
class Subtraction(AbstractOperation):
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Gives the result of subtracting the second input from the first one.
.. math:: y = x_0 - x_1
Parameters
==========
src0, src1 : SignalSourceProvider, optional
The two signals to subtract.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times, e.g.,
``{"in0": 0, "in1": 1}`` which corresponds to *src1* arriving one
time unit later than *src0*. If not provided and *latency* is
provided, set to zero if not explicitly provided. So the previous
example can be written as ``{"in1": 1}`` only.
execution_time : int, optional
Operation execution time (time units before operator can be
reused).
See also
========
AddSub
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a Subtraction operation."""
super().__init__(
input_count=2,
output_count=1,
input_sources=[src0, src1],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
def evaluate(self, a, b):
return a - b
class AddSub(AbstractOperation):
Two-input addition or subtraction operation.
Gives the result of adding or subtracting two inputs.
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.. math::
y = \begin{cases}
x_0 + x_1,& \text{is_add} = \text{True}\\
x_0 - x_1,& \text{is_add} = \text{False}
\end{cases}
This is used to later map additions and subtractions to the same
operator.
Parameters
==========
is_add : bool, default: True
If True, the operation is an addition, if False, a subtraction.
src0, src1 : SignalSourceProvider, optional
The two signals to add or subtract.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times, e.g.,
``{"in0": 0, "in1": 1}`` which corresponds to *src1* arriving one
time unit later than *src0*. If not provided and *latency* is
provided, set to zero if not explicitly provided. So the previous
example can be written as ``{"in1": 1}`` only.
execution_time : int, optional
Operation execution time (time units before operator can be
reused).
See also
========
Addition, Subtraction
def __init__(
self,
is_add: bool = True,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
"""Construct an Addition/Subtraction operation."""
super().__init__(
input_count=2,
output_count=1,
input_sources=[src0, src1],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
self.set_param("is_add", is_add)
@classmethod
def type_name(cls) -> TypeName:
def evaluate(self, a, b):
return a + b if self.is_add else a - b
@property
def is_add(self) -> bool:
"""Get if operation is an addition."""
return self.param("is_add")
@is_add.setter
def is_add(self, is_add: bool) -> None:
"""Set if operation is an addition."""
@property
def is_swappable(self) -> bool:
return self.is_add
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Gives the result of multiplying two inputs.
.. math:: y = x_0 \times x_1
Parameters
==========
src0, src1 : SignalSourceProvider, optional
The two signals to multiply.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times or if the inputs should arrive
after the operator has stared. For example, ``{"in0": 0, "in1": 1}`` which
corresponds to *src1* arriving one time unit later than *src0* and one time
unit later than the operator starts. If not provided and *latency* is provided,
set to zero. Hence, the previous example can be written as ``{"in1": 1}``
only.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
========
ConstantMultiplication
is_swappable = True
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a Multiplication operation."""
super().__init__(
input_count=2,
output_count=1,
input_sources=[src0, src1],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
def evaluate(self, a, b):
return a * b
@property
def is_linear(self) -> bool:
return any(
input_.connected_source.operation.is_constant for input_ in self.inputs
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Gives the result of dividing the first input by the second one.
.. math:: y = \frac{x_0}{x_1}
Parameters
==========
src0, src1 : SignalSourceProvider, optional
The two signals to divide.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times or if the inputs should arrive
after the operator has stared. For example, ``{"in0": 0, "in1": 1}`` which
corresponds to *src1* arriving one time unit later than *src0* and one time
unit later than the operator starts. If not provided and *latency* is provided,
set to zero. Hence, the previous example can be written as ``{"in1": 1}``
only.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
See Also
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"""
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a Division operation."""
super().__init__(
input_count=2,
output_count=1,
input_sources=[src0, src1],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
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def evaluate(self, a, b):
return a / b
@property
def is_linear(self) -> bool:
return self.input(1).connected_source.operation.is_constant
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class Min(AbstractOperation):
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Gives the minimum value of two inputs.
.. math:: y = \min\{x_0 , x_1\}
.. note:: Only real-valued numbers are supported.
Parameters
==========
src0, src1 : SignalSourceProvider, optional
The two signals to determine the min of.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times or if the inputs should arrive
after the operator has stared. For example, ``{"in0": 0, "in1": 1}`` which
corresponds to *src1* arriving one time unit later than *src0* and one time
unit later than the operator starts. If not provided and *latency* is provided,
set to zero. Hence, the previous example can be written as ``{"in1": 1}``
only.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
See Also
is_swappable = True
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a Min operation."""
super().__init__(
input_count=2,
output_count=1,
input_sources=[src0, src1],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
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def evaluate(self, a, b):
if isinstance(a, complex) or isinstance(b, complex):
raise ValueError("core_operations.Min does not support complex numbers.")
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return a if a < b else b
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Gives the maximum value of two inputs.
.. math:: y = \max\{x_0 , x_1\}
.. note:: Only real-valued numbers are supported.
Parameters
==========
src0, src1 : SignalSourceProvider, optional
The two signals to determine the min of.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times or if the inputs should arrive
after the operator has stared. For example, ``{"in0": 0, "in1": 1}`` which
corresponds to *src1* arriving one time unit later than *src0* and one time
unit later than the operator starts. If not provided and *latency* is provided,
set to zero. Hence, the previous example can be written as ``{"in1": 1}``
only.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
See Also
is_swappable = True
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a Max operation."""
super().__init__(
input_count=2,
output_count=1,
input_sources=[src0, src1],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
if isinstance(a, complex) or isinstance(b, complex):
raise ValueError("core_operations.Max does not support complex numbers.")
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class SquareRoot(AbstractOperation):
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Gives the square root of its input.
.. math:: y = \sqrt{x}
Parameters
----------
src0 : :class:`~b_asic.port.SignalSourceProvider`, optional
The signal to compute the square root of.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if input arrives later than when the operator starts, e.g.,
``{"in0": 0`` which corresponds to *src0* arriving one time unit after the
operator starts. If not provided and *latency* is provided, set to zero.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a SquareRoot operation."""
super().__init__(
input_count=1,
output_count=1,
input_sources=[src0],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
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def evaluate(self, a):
return sqrt(complex(a))
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class ComplexConjugate(AbstractOperation):
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Gives the complex conjugate of its input.
.. math:: y = x^*
Parameters
----------
src0 : :class:`~b_asic.port.SignalSourceProvider`, optional
The signal to compute the complex conjugate of.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if input arrives later than when the operator starts, e.g.,
``{"in0": 0`` which corresponds to *src0* arriving one time unit after the
operator starts. If not provided and *latency* is provided, set to zero.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a ComplexConjugate operation."""
super().__init__(
input_count=1,
output_count=1,
input_sources=[src0],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
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return conjugate(a)
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class Absolute(AbstractOperation):
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Gives the absolute value of its input.
.. math:: y = |x|
Parameters
----------
src0 : :class:`~b_asic.port.SignalSourceProvider`, optional
The signal to compute the absolute value of.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if input arrives later than when the operator starts, e.g.,
``{"in0": 0`` which corresponds to *src0* arriving one time unit after the
operator starts. If not provided and *latency* is provided, set to zero.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct an Absolute operation."""
super().__init__(
input_count=1,
output_count=1,
input_sources=[src0],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
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return np_abs(a)
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class ConstantMultiplication(AbstractOperation):
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Gives the result of multiplying its input by a specified value.
.. math:: y = x_0 \times \text{value}
Parameters
----------
value : int
Value to multiply with.
src0 : :class:`~b_asic.port.SignalSourceProvider`, optional
The signal to multiply.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if input arrives later than when the operator starts, e.g.,
``{"in0": 0`` which corresponds to *src0* arriving one time unit after the
operator starts. If not provided and *latency* is provided, set to zero.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
See Also
--------
Multiplication
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
"""Construct a ConstantMultiplication operation with the given value."""
super().__init__(
input_count=1,
output_count=1,
input_sources=[src0],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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self.set_param("value", value)
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@classmethod
def type_name(cls) -> TypeName:
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return a * self.param("value")
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"""Get the constant value of this operation."""
return self.param("value")
@value.setter
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"""Set the constant value of this operation."""
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class Butterfly(AbstractOperation):
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Gives the result of adding its two inputs, as well as the result of subtracting the
second input from the first one. This corresponds to a 2-point DFT.
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.. math::
\begin{eqnarray}
y_0 & = & x_0 + x_1\\
y_1 & = & x_0 - x_1
\end{eqnarray}
Parameters
==========
src0, src1 : SignalSourceProvider, optional
The two signals to compute the 2-point DFT of.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times or if the inputs should arrive
after the operator has stared. For example, ``{"in0": 0, "in1": 1}`` which
corresponds to *src1* arriving one time unit later than *src0* and one time
unit later than the operator starts. If not provided and *latency* is provided,
set to zero. Hence, the previous example can be written as ``{"in1": 1}``
only.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a Butterfly operation."""
super().__init__(
input_count=2,
output_count=2,
input_sources=[src0, src1],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
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def evaluate(self, a, b):
return a + b, a - b
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class MAD(AbstractOperation):
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Gives the result of multiplying the first input by the second input and
then adding the third input.
.. math:: y = x_0 \times x_1 + x_2
Parameters
==========
src0, src1, src2 : SignalSourceProvider, optional
The three signals to determine the multiply-add operation of.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if inputs have different arrival times or if the inputs should arrive
after the operator has stared. For example, ``{"in0": 0, "in1": 0, "in2": 2}``
which corresponds to *src2*, i.e., the term to be added, arriving two time
units later than *src0* and *src1*. If not provided and *latency* is provided,
set to zero. Hence, the previous example can be written as ``{"in1": 1}``
only.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
See Also
--------
Multiplication
Addition
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"""
is_swappable = True
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
src1: Optional[SignalSourceProvider] = None,
src2: Optional[SignalSourceProvider] = None,
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
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"""Construct a MAD operation."""
super().__init__(
input_count=3,
output_count=1,
input_sources=[src0, src1, src2],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
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@classmethod
def type_name(cls) -> TypeName:
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def evaluate(self, a, b, c):
return a * b + c
@property
def is_linear(self) -> bool:
return (
self.input(0).connected_source.operation.is_constant
or self.input(1).connected_source.operation.is_constant
)
def swap_io(self) -> None:
self._input_ports = [
self._input_ports[1],
self._input_ports[0],
self._input_ports[2],
]
for i, p in enumerate(self._input_ports):
p._index = i
class Reciprocal(AbstractOperation):
r"""
Reciprocal operation.
Gives the reciprocal of its input.
.. math:: y = \frac{1}{x}
Parameters
----------
src0 : :class:`~b_asic.port.SignalSourceProvider`, optional
The signal to compute the reciprocal of.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if input arrives later than when the operator starts, e.g.,
``{"in0": 0`` which corresponds to *src0* arriving one time unit after the
operator starts. If not provided and *latency* is provided, set to zero.
execution_time : int, optional
Operation execution time (time units before operator can be reused).
See also
========
Division
"""
def __init__(
self,
src0: Optional[SignalSourceProvider] = None,
name: Name = Name(""),
latency: Optional[int] = None,
latency_offsets: Optional[Dict[str, int]] = None,
execution_time: Optional[int] = None,
):
"""Construct a Reciprocal operation."""
super().__init__(
input_count=1,
output_count=1,
name=Name(name),
input_sources=[src0],
latency=latency,
latency_offsets=latency_offsets,
execution_time=execution_time,
)
@classmethod
def type_name(cls) -> TypeName:
return TypeName("rec")
def evaluate(self, a):
return 1 / a
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class RightShift(AbstractOperation):
r"""
Arithmetic right-shift operation.
Shifts the input to the right assuming a fixed-point representation, so
a multiplication by a power of two.
.. math:: y = x \gg \text{value} = 2^{-\text{value}}x \text{ where value} \geq 0
Parameters
----------
value : int
Number of bits to shift right.
src0 : :class:`~b_asic.port.SignalSourceProvider`, optional
The signal to shift right.
name : Name, optional
Operation name.
latency : int, optional
Operation latency (delay from input to output in time units).
latency_offsets : dict[str, int], optional
Used if input arrives later than when the operator starts, e.g.,
``{"in0": 0`` which corresponds to *src0* arriving one time unit after the
operator starts. If not provided and *latency* is provided, set to zero.