continuous_timeseries#
Representation of continuous timeseries.
Modules:
| Name | Description |
|---|---|
budget_compatible_pathways |
Creation of emissions pathways compatible with a given budget |
discrete_to_continuous |
Conversion of timeseries from discrete to continuous |
domain_helpers |
Support for our domain handling |
exceptions |
Exceptions that are used throughout |
formatting |
Support for pretty formatting of our classes |
pandas_accessors |
API for |
plotting_helpers |
Support for plotting |
time_axis |
Definition of |
timeseries |
Definition of a timeseries ( |
timeseries_continuous |
Definition of a continuous timeseries ( |
timeseries_discrete |
Definition of a discrete timeseries ( |
typing |
Helpful type hints |
values_at_bounds |
Definition of |
warnings |
Warnings that are used throughout |
Classes:
| Name | Description |
|---|---|
InterpolationOption |
Interpolation options |
TimeAxis |
Time axis representation |
Timeseries |
Timeseries representation |
TimeseriesContinuous |
Continuous time series representation |
TimeseriesDiscrete |
Discrete time series representation |
ValuesAtBounds |
Container for values to be used at the bounds of each time window in a timeseries |
InterpolationOption #
Bases: IntEnum
Interpolation options
Attributes:
| Name | Type | Description |
|---|---|---|
Cubic |
Cubic interpolation |
|
Linear |
Linear interpolation |
|
PiecewiseConstantNextLeftClosed |
Piecewise constant 'next' interpolation, each interval is closed on the left |
|
PiecewiseConstantNextLeftOpen |
Piecewise constant 'next' interpolation, each interval is open on the left |
|
PiecewiseConstantPreviousLeftClosed |
Piecewise constant 'previous' interpolation, each interval is closed on the left |
|
PiecewiseConstantPreviousLeftOpen |
Piecewise constant 'previous' interpolation, each interval is open on the left |
|
Quadratic |
Quadratic interpolation |
|
Quartic |
Quartic interpolation |
Source code in src/continuous_timeseries/discrete_to_continuous/interpolation_option.py
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PiecewiseConstantNextLeftClosed
class-attribute
instance-attribute
#
Piecewise constant 'next' interpolation, each interval is closed on the left
In other words, between t(i) and t(i + 1), the value is equal to y(i + 1). At t(i), the value is equal to y(i + 1).
If helpful, we have drawn a picture of how this works below. Symbols:
- time: y-value selected for this time-value
- i: closed (i.e. inclusive) boundary
- o: open (i.e. exclusive) boundary
PiecewiseConstantNextLeftOpen
class-attribute
instance-attribute
#
Piecewise constant 'next' interpolation, each interval is open on the left
In other words, between t(i) and t(i + 1), the value is equal to y(i + 1). At t(i), the value is equal to y(i).
If helpful, we have drawn a picture of how this works below. Symbols:
- time: y-value selected for this time-value
- i: closed (i.e. inclusive) boundary
- o: open (i.e. exclusive) boundary
PiecewiseConstantPreviousLeftClosed
class-attribute
instance-attribute
#
Piecewise constant 'previous' interpolation, each interval is closed on the left
In other words, between t(i) and t(i + 1), the value is equal to y(i). At t(i + 1), the value is equal to y(i + 1).
If helpful, we have drawn a picture of how this works below. Symbols:
- time: y-value selected for this time-value
- i: closed (i.e. inclusive) boundary
- o: open (i.e. exclusive) boundary
PiecewiseConstantPreviousLeftOpen
class-attribute
instance-attribute
#
Piecewise constant 'previous' interpolation, each interval is open on the left
In other words, between t(i) and t(i + 1), the value is equal to y(i). At t(i + 1), the value is equal to y(i).
If helpful, we have drawn a picture of how this works below. Symbols:
- time: y-value selected for this time-value
- i: closed (i.e. inclusive) boundary
- o: open (i.e. exclusive) boundary
TimeAxis #
Time axis representation
Methods:
| Name | Description |
|---|---|
__str__ |
Get string representation of self |
bounds_validator |
Validate the received bounds |
Attributes:
| Name | Type | Description |
|---|---|---|
bounds |
PINT_NUMPY_ARRAY
|
Bounds of each time step in the time axis. |
bounds_2d |
PINT_NUMPY_ARRAY
|
Get the bounds of the time steps in two-dimensions |
Source code in src/continuous_timeseries/time_axis.py
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bounds
class-attribute
instance-attribute
#
bounds: PINT_NUMPY_ARRAY = field()
Bounds of each time step in the time axis.
Must be one-dimensional and monotonically increasing.
The first time step runs from bounds[0] to bounds[1],
the second from bounds[1] to bounds[2],
the third from bounds[2] to bounds[3] etc.
(the nth step runs from bounds[n-1] to bounds[n]).
As a result, if bounds has length n, then it defines n - 1 time steps.
bounds_2d
property
#
bounds_2d: PINT_NUMPY_ARRAY
Get the bounds of the time steps in two-dimensions
This representation can be useful for some operations.
Returns:
| Type | Description |
|---|---|
PINT_NUMPY_ARRAY
|
Bounds of the time steps in two-dimensions (bounds is the second dimension i.e. has size 2). |
bounds_validator #
bounds_validator(
attribute: Attribute[Any], value: PINT_NUMPY_ARRAY
) -> None
Validate the received bounds
Source code in src/continuous_timeseries/time_axis.py
Timeseries #
Timeseries representation
Methods:
| Name | Description |
|---|---|
__str__ |
Get string representation of self |
antidifferentiate |
Antidifferentiate the time series |
differentiate |
Differentiate the time series |
from_arrays |
Initialise from arrays |
integrate |
Integrate the time series |
interpolate |
Interpolate onto a new time axis |
plot |
Plot |
update_interpolation |
Update the interpolation |
update_interpolation_integral_preserving |
Update the interpolation while preserving the integral |
Attributes:
| Name | Type | Description |
|---|---|---|
discrete |
TimeseriesDiscrete
|
Discrete view of the time series |
name |
str
|
Name of the time series |
time_axis |
TimeAxis
|
Time axis of the timeseries |
timeseries_continuous |
TimeseriesContinuous
|
Continuous version of the timeseries |
Source code in src/continuous_timeseries/timeseries.py
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time_axis
instance-attribute
#
time_axis: TimeAxis
Time axis of the timeseries
Used for plotting and creating the discrete form of the time series.
timeseries_continuous
instance-attribute
#
timeseries_continuous: TimeseriesContinuous
Continuous version of the timeseries
antidifferentiate #
antidifferentiate(
name_res: str | None = None,
) -> Timeseries
Antidifferentiate the time series
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
name_res
|
str | None
|
Name to apply to the result. If not supplied, we use |
None
|
Returns:
| Type | Description |
|---|---|
Timeseries
|
Indefinite integral of the time series |
Source code in src/continuous_timeseries/timeseries.py
differentiate #
differentiate(name_res: str | None = None) -> Timeseries
Differentiate the time series
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
name_res
|
str | None
|
Name to apply to the result. If not supplied, we use |
None
|
Returns:
| Type | Description |
|---|---|
Timeseries
|
Derivative of the time series |
Source code in src/continuous_timeseries/timeseries.py
from_arrays
classmethod
#
from_arrays(
x: PINT_NUMPY_ARRAY,
y: PINT_NUMPY_ARRAY,
interpolation: InterpolationOption,
name: str,
) -> Timeseries
Initialise from arrays
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
x
|
PINT_NUMPY_ARRAY
|
The x-values from which to initialise |
required |
y
|
PINT_NUMPY_ARRAY
|
The y-values from which to initialise |
required |
interpolation
|
InterpolationOption
|
Interpolation to apply when converting the discrete values to a continuous representation |
required |
name
|
str
|
The value to use to set the result's name attribute |
required |
Returns:
| Type | Description |
|---|---|
Timeseries
|
Initialised |
Source code in src/continuous_timeseries/timeseries.py
integrate #
integrate(
integration_constant: PINT_SCALAR,
name_res: str | None = None,
) -> Timeseries
Integrate the time series
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
integration_constant
|
PINT_SCALAR
|
The integration constant to use when performing the integration. This is required to ensure that the integral is a definite integral. |
required |
name_res
|
str | None
|
Name to apply to the result. If not supplied, we use |
None
|
Returns:
| Type | Description |
|---|---|
Timeseries
|
Integral of the time series |
Source code in src/continuous_timeseries/timeseries.py
interpolate #
interpolate(
time_axis: TimeAxis | PINT_NUMPY_ARRAY,
allow_extrapolation: bool = False,
) -> Timeseries
Interpolate onto a new time axis
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
time_axis
|
TimeAxis | PINT_NUMPY_ARRAY
|
Time axis to update to |
required |
allow_extrapolation
|
bool
|
Should extrapolation be allowed? |
False
|
Returns:
| Type | Description |
|---|---|
Timeseries
|
|
Source code in src/continuous_timeseries/timeseries.py
plot #
plot(
show_continuous: bool = True,
continuous_plot_kwargs: dict[str, Any] | None = None,
show_discrete: bool = False,
discrete_plot_kwargs: dict[str, Any] | None = None,
ax: Axes | None = None,
) -> Axes
Plot
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
show_continuous
|
bool
|
Should we plot the continuous representation of |
True
|
continuous_plot_kwargs
|
dict[str, Any] | None
|
Passed to For docs, see
|
None
|
show_discrete
|
bool
|
Should we plot the discrete representation of |
False
|
discrete_plot_kwargs
|
dict[str, Any] | None
|
Passed to For docs, see
|
None
|
ax
|
Axes | None
|
Axes on which to plot. If not supplied, a set of axes will be created. |
None
|
Returns:
| Type | Description |
|---|---|
Axes
|
Axes on which the data was plotted |
Source code in src/continuous_timeseries/timeseries.py
update_interpolation #
update_interpolation(
interpolation: InterpolationOption,
name_res: str | None = None,
warn_if_values_at_bounds_change: bool = True,
check_change_func: Callable[
[PINT_NUMPY_ARRAY, PINT_NUMPY_ARRAY], None
] = assert_allclose,
) -> Timeseries
Update the interpolation
Note that this uses default interpolation choices. This might not always be what you want.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
interpolation
|
InterpolationOption
|
Interpolation to change to |
required |
name_res
|
str | None
|
Name of the result If not supplied, we use
|
None
|
warn_if_values_at_bounds_change
|
bool
|
Should a warning be raised if the |
True
|
check_change_func
|
Callable[[PINT_NUMPY_ARRAY, PINT_NUMPY_ARRAY], None]
|
Function to use to check if the values at the bounds have changed. If the values are different, this function should raise an |
assert_allclose
|
Returns:
| Type | Description |
|---|---|
Timeseries
|
|
Warns:
| Type | Description |
|---|---|
InterpolationUpdateChangedValuesAtBoundsWarning
|
If updating the interpolation could the values at the time bounds to change
and |
Source code in src/continuous_timeseries/timeseries.py
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update_interpolation_integral_preserving #
update_interpolation_integral_preserving(
interpolation: InterpolationOption,
name_res: str | None = None,
warn_if_values_at_bounds_change: bool = True,
check_change_func: Callable[
[PINT_NUMPY_ARRAY, PINT_NUMPY_ARRAY], None
] = assert_allclose,
) -> Timeseries
Update the interpolation while preserving the integral
This is useful if the integral of your quantity needs to be preserved, e.g. you want to do integral-preserving interpolation of emissions so that mass is conserved.
It is obviously not possible to do this at all time points.
So it would be more precise to say
that the integral is preserved at the points in self.time_axis.
We recommend being a bit careful with this. In general, performing this operation with linear or higher-order interpolations may not lead to the most intuitive result because of the quadratic or higher-order fitting that is done in cumulative space (quadratic and higher-order fitting is a difficult problem in general, see, for example, the multiple boundary condition options in scipy's cubic spline ).
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
interpolation
|
InterpolationOption
|
Interpolation to update to |
required |
name_res
|
str | None
|
Name of the result If not supplied, we use
|
None
|
warn_if_values_at_bounds_change
|
bool
|
Passed to |
True
|
check_change_func
|
Callable[[PINT_NUMPY_ARRAY, PINT_NUMPY_ARRAY], None]
|
Passed to |
assert_allclose
|
Returns:
| Type | Description |
|---|---|
Timeseries
|
|
Source code in src/continuous_timeseries/timeseries.py
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TimeseriesContinuous #
Continuous time series representation
Methods:
| Name | Description |
|---|---|
__str__ |
Get string representation of self |
antidifferentiate |
Antidifferentiate |
differentiate |
Differentiate |
domain_validator |
Validate the received values |
integrate |
Integrate |
interpolate |
Interpolate values on a given time axis |
plot |
Plot the function |
to_discrete_timeseries |
Convert to |
Attributes:
| Name | Type | Description |
|---|---|---|
domain |
tuple[PINT_SCALAR, PINT_SCALAR]
|
Domain over which the function can be evaluated |
function |
ContinuousFunctionLike
|
The continuous function that represents this timeseries. |
name |
str
|
Name of the timeseries |
time_units |
PlainUnit
|
The units of the time axis |
values_units |
PlainUnit
|
The units of the values |
Source code in src/continuous_timeseries/timeseries_continuous.py
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domain
class-attribute
instance-attribute
#
domain: tuple[PINT_SCALAR, PINT_SCALAR] = field()
Domain over which the function can be evaluated
function
instance-attribute
#
function: ContinuousFunctionLike
The continuous function that represents this timeseries.
antidifferentiate #
antidifferentiate(
name_res: str | None = None,
) -> TimeseriesContinuous
Antidifferentiate
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
name_res
|
str | None
|
Name to use for the output. If not supplied, we use f"{self.name}_antiderivative". |
None
|
Returns:
| Type | Description |
|---|---|
TimeseriesContinuous
|
Antiderivative of |
Source code in src/continuous_timeseries/timeseries_continuous.py
differentiate #
differentiate(
name_res: str | None = None,
) -> TimeseriesContinuous
Differentiate
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
name_res
|
str | None
|
Name to use for the output. If not supplied, we use f"{self.name}_derivative". |
None
|
Returns:
| Type | Description |
|---|---|
TimeseriesContinuous
|
Integral of |
Source code in src/continuous_timeseries/timeseries_continuous.py
domain_validator #
domain_validator(
attribute: Attribute[Any],
value: tuple[PINT_SCALAR, PINT_SCALAR],
) -> None
Validate the received values
Source code in src/continuous_timeseries/timeseries_continuous.py
integrate #
integrate(
integration_constant: PINT_SCALAR,
name_res: str | None = None,
) -> TimeseriesContinuous
Integrate
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
integration_constant
|
PINT_SCALAR
|
Integration constant to use when performing the integration |
required |
name_res
|
str | None
|
Name to use for the output. If not supplied, we use f"{self.name}_integral". |
None
|
Returns:
| Type | Description |
|---|---|
TimeseriesContinuous
|
Integral of |
Source code in src/continuous_timeseries/timeseries_continuous.py
interpolate #
interpolate(
time_axis: TimeAxis | PINT_NUMPY_ARRAY,
allow_extrapolation: bool = False,
) -> PINT_NUMPY_ARRAY
Interpolate values on a given time axis
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
time_axis
|
TimeAxis | PINT_NUMPY_ARRAY
|
Time axis onto which to interpolate values |
required |
allow_extrapolation
|
bool
|
Should extrapolation be allowed while interpolating? |
False
|
Returns:
| Type | Description |
|---|---|
PINT_NUMPY_ARRAY
|
Interpolated values |
Source code in src/continuous_timeseries/timeseries_continuous.py
plot #
plot(
time_axis: TimeAxis | PINT_NUMPY_ARRAY,
res_increase: int = 500,
label: str | None = None,
ax: Axes | None = None,
warn_if_plotting_magnitudes: bool = True,
**kwargs: Any,
) -> Axes
Plot the function
We can't see an easy way to plot the continuous function exactly, so we approximate by interpolating very finely then just using a standard linear interpolation between the points.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
time_axis
|
TimeAxis | PINT_NUMPY_ARRAY
|
Time axis to use for plotting. All points in |
required |
res_increase
|
int
|
The amount by which to increase the resolution of the x-axis when plotting. If equal to 1, then only the points in |
500
|
label
|
str | None
|
Label to use when plotting the data. If not supplied, we use the |
None
|
ax
|
Axes | None
|
Axes on which to plot. If not supplied, a set of axes will be created. |
None
|
warn_if_plotting_magnitudes
|
bool
|
Should a warning be raised if the units of the values are not considered while plotting? |
True
|
**kwargs
|
Any
|
Keyword arguments to pass to |
{}
|
Returns:
| Type | Description |
|---|---|
Axes
|
Axes on which the data was plotted |
Source code in src/continuous_timeseries/timeseries_continuous.py
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to_discrete_timeseries #
to_discrete_timeseries(
time_axis: TimeAxis, allow_extrapolation: bool = False
) -> TimeseriesDiscrete
Convert to TimeseriesDiscrete
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
time_axis
|
TimeAxis
|
Time axis to use for the conversion |
required |
allow_extrapolation
|
bool
|
Should extrapolation be allowed during the conversion? |
False
|
Returns:
| Type | Description |
|---|---|
TimeseriesDiscrete
|
Discrete representation of |
Source code in src/continuous_timeseries/timeseries_continuous.py
TimeseriesDiscrete #
Discrete time series representation
Methods:
| Name | Description |
|---|---|
__str__ |
Get string representation of self |
plot |
Plot the data |
to_continuous_timeseries |
Convert to |
values_at_bounds_validator |
Validate the received values |
Attributes:
| Name | Type | Description |
|---|---|---|
name |
str
|
Name of the timeseries |
time_axis |
TimeAxis
|
Time axis of the timeseries |
values_at_bounds |
ValuesAtBounds
|
Values at the bounds defined by |
Source code in src/continuous_timeseries/timeseries_discrete.py
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values_at_bounds
class-attribute
instance-attribute
#
values_at_bounds: ValuesAtBounds = field()
Values at the bounds defined by self.time_axis
Must hold values that are the same length as self.time_axis.
plot #
plot(
label: str | None = None,
ax: Axes | None = None,
warn_if_plotting_magnitudes: bool = True,
**kwargs: Any,
) -> Axes
Plot the data
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
label
|
str | None
|
Label to use when plotting the data. If not supplied, we use the |
None
|
ax
|
Axes | None
|
Axes on which to plot. If not supplied, a set of axes will be created. |
None
|
warn_if_plotting_magnitudes
|
bool
|
Should a warning be raised if the units of the values are not considered while plotting? |
True
|
**kwargs
|
Any
|
Keyword arguments to pass to |
{}
|
Returns:
| Type | Description |
|---|---|
Axes
|
Axes on which the data was plotted |
Source code in src/continuous_timeseries/timeseries_discrete.py
to_continuous_timeseries #
to_continuous_timeseries(
interpolation: InterpolationOption,
warn_if_output_values_at_bounds_could_confuse: bool = True,
check_change_func: Callable[
[PINT_NUMPY_ARRAY, PINT_NUMPY_ARRAY], None
] = assert_allclose,
) -> TimeseriesContinuous
Convert to TimeseriesContinuous
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
interpolation
|
InterpolationOption
|
Interpolation to use for the conversion |
required |
warn_if_output_values_at_bounds_could_confuse
|
bool
|
Should a warning be raised if the |
True
|
check_change_func
|
Callable[[PINT_NUMPY_ARRAY, PINT_NUMPY_ARRAY], None]
|
Function to use to check
if the value of the output at If the values are different, this function should raise an |
assert_allclose
|
Returns:
| Type | Description |
|---|---|
TimeseriesContinuous
|
Continuous representation of |
Source code in src/continuous_timeseries/timeseries_discrete.py
values_at_bounds_validator #
values_at_bounds_validator(
attribute: Attribute[Any], value: ValuesAtBounds
) -> None
Validate the received values
Source code in src/continuous_timeseries/timeseries_discrete.py
ValuesAtBounds #
Container for values to be used at the bounds of each time window in a timeseries
This is a low-level container. It generally won't be used directly.
Methods:
| Name | Description |
|---|---|
__str__ |
Get string representation of self |
values_validator |
Validate the received values |
Attributes:
| Name | Type | Description |
|---|---|---|
values |
PINT_NUMPY_ARRAY
|
Values |
Source code in src/continuous_timeseries/values_at_bounds.py
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values
class-attribute
instance-attribute
#
values: PINT_NUMPY_ARRAY = field()
Values
Must be one-dimensional.
values_validator #
values_validator(
attribute: Attribute[Any], value: PINT_NUMPY_ARRAY
) -> None
Validate the received values