D3DXSHEvalDirection

Evaluates the spherical harmonic (SH) basis functions from an input direction vector.

FLOAT * D3DXSHEvalDirection(
  FLOAT * pOut,
  UINT Order,
  CONST D3DXVECTOR3 * pDir
);

Parameters

pOut

[out] Pointer to Spherical harmonic (SH) output coefficients. The evaluation generates Order² coefficients. See Remarks.

Order

[in] Order of the SH evaluation. Must be in the range of D3DXSH_MINORDER to D3DXSH_MAXORDER, inclusive. The evaluation generates Order² coefficients. The degree of the evaluation is Order - 1.

pDir

[in] (x, y, z) direction vector in which to evaluate the SH basis functions. Must be normalized. See Remarks.

Return Values

Pointer to SH output coefficients. See Remarks.

Remarks

Each coefficient of the basis function Y_lm is stored at memory location l² + m + l, where:

• l is the degree of the basis function.
• m is the basis function index for the given l value and ranges from -l to l, inclusive.

On the sphere with unit radius as shown, direction can be specified simply with theta, the angle about the z-axis in the right-handed direction, and phi, the angle from z.

The following equations show the relationship between Cartesian (x, y, z) and spherical (theta, phi) coordinates on the unit sphere. The angle theta varies over the range of 0 to 2 pi, while phi varies from 0 to pi.

Requirements

Header: Declared in D3dx9math.h.

See Also

Precomputed Radiance Transfer