Grasshopper2.Types.Functions.Standardnamespace

The absolute value of a function.

Addition of two functions.

The average of two functions.

Represents an immutable bernstein polynomial basis function on the unit domain.

Represents an immutable interpolated equation.

Enumerates the possible interpolations to use for the BlendEquation.

Block wave function in the form y = frac(x, [A,B)) < E ? C : D

A polyline (strictly increasing x) that is progressively blurred by repeated averaging of vertex y-values with their neighbours. In the joint limit of infinitely dense sampling and infinitely many averaging passes this is the one-dimensional heat equation on the vertex-x domain, so the blurred curve is the diffusion of the polyline towards its steady state.

The amount of blur is controlled by a second Function evaluated in x (default: a constant), clamped to 0 (no blur, the original polyline) .. 1 (full blur). The endpoint y-values are pinned (Dirichlet), so the full-blur steady state is the straight chord between the first and last vertex.

Evaluation is a closed-form eigenmode sum: the polyline is expanded once into a sine series and each mode decays as e^(-(nπ)²·τ), where τ is the dimensionless diffusion time mapped from the blur amount. No dense point cloud is ever materialised.

A single bump.

A function with manually placed bumps in a variety of shapes.

Enumerates the possible bump shapes.

It's a function inside another function.

A function clipped to two extreme functions.

conic section curve represented by a 3-point degree=2 nurbs curve with a weighted centre point. The corners can be filleted.

Represents a constant value function.

Cosine function in the form y = A·cos(D·x-B) + C

Cross-ratio of four functions.

Represents an immutable cumulative density function.

Represents an immutable Rhino curve equation.

Represents an immutable function for various types of falloff curves.

The derivative of a function.

Ratio of two functions.

A unary function which limits the existence of an underlying function to a given Region1.

One function raised to another function.

Represents an immutable expression equation. This equation specifically doesn't allow for custom variable resolvers as the results are cached.

A single element in a Fourier frequency space.

Provides a fourier transform interpolation of an equally spaced set of time samples.

Represents an immutable gaussian equation.

Enumerates the possible types of cubic handles.

Represents an immutable hyperbolic function in the form y = (ax + b) + (d/(x - c))

The integral of a function.

Enumerates the possible interpolation algorithms.

Represents an immutable interpolated equation.

A function limited to two extreme functions.

Linear function in the form y = Ax+B

A linear transformation of another function.

Represents an immutable logarithm equation in the form y = logₐ(x-b) + c

A map from a function to the logistic function.

Maximum of two functions.

Minimum of two functions.

A function which horizontally mirrors another function.

A linear transformation of another function.

An operator function which counts the number of multiples of one function which fit into another. Use this instead of the RoundingFunction if you want to round to increments other than a fixed number of decimals.

Product of two functions.

A unary operator function for limiting a function to only negative values.

Represents an immutable parabolic equation in the form y = A(x-B)² + C

Represents an immutable polynomial equation in the form y = a + bx² + cx³ + ...

A unary operator function for limiting a function to only positive values.

Represents an immutable probability density function.

Represents an immutable reciprocal equation in the form y = 1/((x - b)^p) + c, however with fixed signs to allow for fractional exponents and negative numbers.

A unary operator function for rounding another function.

Sawtooth function in the form y = norm(x, [A,B)) * (D-C) + C

Defines a sequence of functions on consecutive numeric domains.

A bounded, monotonic sigmoid (S-curve) transitioning from a low asymptote to a high asymptote. The curve is antisymmetric about its inflection point, which sits at the mid-level halfway between the two asymptotes.

The steepness is given by the slope at the inflection. A negative slope produces a falling sigmoid. Every SigmoidKind shares the same asymptotes, inflection and inflection-slope for a given set of parameters, so switching variants keeps those anchors fixed and changes only the tail behaviour.

The family of common sigmoid (S-shaped) curves. All variants share the same anchors — an inflection point and a tangent slope — and differ only in how quickly they saturate towards their asymptotes (their tail behaviour).

The sign of a function.

Implementation of the Perlin simplex noise, an improved Perlin noise algorithm. Based loosely on SimplexNoise1234 by Stefan Gustavson http://staffwww.itn.liu.se/~stegu/aqsis/aqsis-newnoise/

Sinc (Sinus Cardinalis) function in the form y = A(sin(Dx-B))/x)+C

Cosine function in the form y = A*sin(Dx-B) + (Ex+C)

The smooth maximum of two functions.

The smooth minimum of two functions.

Represents a one-dimensional Simplex noise function.

Represents an immutable sequence of cubic grips.

Represents a single grip in a two-dimensional bezier curve chain.

Represents an immutable Student-T distribution.

Subtraction of two functions.

Tangent function in the form y = A*tan(Dx-B)) + C. The tangent function does not currently have a UI defined for it.

A function which jumps from zero to some constant at a threshold.

Transition from one function to another.

Triangle wave function.

Utility function for applying standard arithmetic to functions.

A sinusoidal wavelet with a gaussian decay.