struct DifferentialPair<T>¶
Conforms to: IDifferentiable
Description¶
DifferentialPair<T> is a built-in type that carries both the original and derivative value of a term. It is defined as follows:
struct DifferentialPair<T : IDifferentiable> : IDifferentiable
{
typealias Differential = DifferentialPair<T.Differential>;
property T p {get;}
property T.Differential d {get;}
static Differential dzero();
static Differential dadd(Differential a, Differential b);
}
Differential pairs can be created via constructor or through the diffPair() operation
DifferentialPair<float> dpa = DifferentialPair<float>(1.0f, 2.0f);
DifferentialPair<float> dpa = diffPair(1.0f, 2.0f);
Note that derivative pairs are used to pass derivatives into and out of auto-diff functions. See documentation on fwd_diff and bwd_diff operators for more information.