Monotonic Rational Quadratic Spline¶

General MRQS object¶

class sinflow.mrqs.MonotonicRationalQuadraticSpline(x_knots, y_knots, fixed_end_slopes=False, extrapolate='linear')¶

derivative(x)¶

Compute the derivative dy/dx at given x.

Parameters:¶

xscalar or array-like: Input value(s).

Returns:¶

dy_dxscalar or ndarray: Derivative(s) at the input value(s).

forward(x)¶

Compute the forward transformation y = f(x) and its derivative dy/dx.

Parameters:¶

xscalar or array-like: Input value(s).

Returns:¶

yscalar or ndarray: Transformed value(s).
dy_dxscalar or ndarray: Derivative(s) at the input value(s).

inverse(y)¶

Compute the inverse transformation x = f^{-1}(y) and its derivative dx/dy.

Parameters:¶

yscalar or array-like: Output value(s).

Returns:¶

xscalar or ndarray: Inverted value(s).
dx_dyscalar or ndarray: Derivative(s) at the output value(s).