XMVectorHermite

Performs a Hermite spline interpolation, using the specified vectors.

Syntax

XMVECTOR XMVectorHermite(
         XMVECTOR Position0,
         XMVECTOR Tangent0,
         XMVECTOR Position1,
         GXMVECTOR Tangent1,
         float t
)  

Parameters

Position0
Type: XMVECTOR 

First position to interpolate from.

Tangent0
Type: XMVECTOR 

Tangent vector for the first position.

Position1
Type: XMVECTOR 

Second position to interpolate from.

Tangent1
Type: GXMVECTOR 

Tangent vector for the second position.

t
Type: float 

Interpolation control factor.

Return value

Type: XMVECTOR 

Returns a vector containing the interpolation.

Remarks

The following pseudocode demonstrates the operation of the function:

XMVECTOR Result;

float t2 = t * t;
float t3 = t2* t;

float P0 = 2.0f * t3 - 3.0f * t2 + 1.0f;
float T0 = t3 - 2.0f * t2 + t;
float P1 = -2.0f * t3 + 3.0f * t2;
float T1 = t3 - t2;

Result.x = P0 * Position0.x + T0 * Tangent0.x + P1 * Position1.x + T1 * Tangent1.x;
Result.y = P0 * Position0.y + T0 * Tangent0.y + P1 * Position1.y + T1 * Tangent1.y;
Result.z = P0 * Position0.z + T0 * Tangent0.z + P1 * Position1.z + T1 * Tangent1.z;
Result.w = P0 * Position0.w + T0 * Tangent0.w + P1 * Position1.w + T1 * Tangent1.w;

return Result;  

Requirements

Header: Declared in directxmath.h.