colour.SpragueInterpolator¶
-
class
colour.
SpragueInterpolator
(x, y, dtype=<class 'numpy.float64'>)[source]¶ Bases:
object
Constructs a fifth-order polynomial that passes through \(y\) dependent variable.
Sprague (1880) method is recommended by the CIE for interpolating functions having a uniformly spaced independent variable.
- Parameters
x (array_like) – Independent \(x\) variable values corresponding with \(y\) variable.
y (array_like) – Dependent and already known \(y\) variable values to interpolate.
dtype (type) – Data type used for internal conversions.
-
x
¶
-
y
¶
Notes
The minimum number \(k\) of data points required along the interpolation axis is \(k=6\).
References
Examples
Interpolating a single numeric variable:
>>> y = np.array([5.9200, 9.3700, 10.8135, 4.5100, ... 69.5900, 27.8007, 86.0500]) >>> x = np.arange(len(y)) >>> f = SpragueInterpolator(x, y) >>> f(0.5) 7.2185025...
Interpolating an array_like variable:
>>> f([0.25, 0.75]) array([ 6.7295161..., 7.8140625...])
-
SPRAGUE_C_COEFFICIENTS
= array([[ 884, -1960, 3033, -2648, 1080, -180], [ 508, -540, 488, -367, 144, -24], [ -24, 144, -367, 488, -540, 508], [ -180, 1080, -2648, 3033, -1960, 884]])¶ Defines the coefficients used to generate extra points for boundaries interpolation.
SPRAGUE_C_COEFFICIENTS : array_like, (4, 6)
References
-
property
x
Getter and setter property for the independent \(x\) variable.
- Parameters
value (array_like) – Value to set the independent \(x\) variable with.
- Returns
Independent \(x\) variable.
- Return type
array_like
-
property
y
Getter and setter property for the dependent and already known \(y\) variable.
- Parameters
value (array_like) – Value to set the dependent and already known \(y\) variable with.
- Returns
Dependent and already known \(y\) variable.
- Return type
array_like