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Nedd help with Seting View Matrix

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hi, i looked in the directx SDK D3Dim Doc''s (page 123) and i found that function witch setting view matrix: HRESULT D3DUtil_SetViewMatrix( D3DMATRIX& mat, D3DVECTOR& vFrom, D3DVECTOR& vAt, D3DVECTOR& vWorldUp ) { // Get the z basis vector, which points straight ahead. This is the // difference from the eyepoint to the lookat point. D3DVECTOR vView = vAt - vFrom; FLOAT fLength = Magnitude( vView ); if( fLength < 1e-6f ) return E_INVALIDARG; // Normalize the z basis vector vView /= fLength; // Get the dot product, and calculate the projection of the z basis // vector onto the up vector. The projection is the y basis vector. FLOAT fDotProduct = DotProduct( vWorldUp, vView ); D3DVECTOR vUp = vWorldUp - fDotProduct * vView; // If this vector has near-zero length because the input specified a // bogus up vector, let''s try a default up vector if( 1e-6f > ( fLength = Magnitude( vUp ) ) ) { vUp = D3DVECTOR( 0.0f, 1.0f, 0.0f ) - vView.y * vView; // If we still have near-zero length, resort to a different axis. if( 1e-6f > ( fLength = Magnitude( vUp ) ) ) { vUp = D3DVECTOR( 0.0f, 0.0f, 1.0f ) - vView.z * vView; if( 1e-6f > ( fLength = Magnitude( vUp ) ) ) return E_INVALIDARG; } } // Normalize the y basis vector vUp /= fLength; // The x basis vector is found simply with the cross product of the y // and z basis vectors D3DVECTOR vRight = CrossProduct( vUp, vView ); // Start building the matrix. The first three rows contains the basis // vectors used to rotate the view to point at the lookat point D3DUtil_SetIdentityMatrix( mat ); mat._11 = vRight.x; mat._12 = vUp.x; mat._13 = vView.x; mat._21 = vRight.y; mat._22 = vUp.y; mat._23 = vView.y; mat._31 = vRight.z; mat._32 = vUp.z; mat._33 = vView.z; // Do the translation values (rotations are still about the eyepoint) mat._41 = - DotProduct( vFrom, vRight ); mat._42 = - DotProduct( vFrom, vUp ); mat._43 = - DotProduct( vFrom, vView ); return S_OK; } there is something i dont understand , what the "1e-6f" means? and what the Magnitude, CrossProduct, and DotProduct functions doing?

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Magnitude computes the length of the vector

Length = sqrt(x*x + y*y + z*z)

CrossProduct computes a vector that is orthogonal to both input vector. The length of the new vector is the area of the parallellogram that the two vector comprise.

CrossProduct.x = A.y*B.z - A.z*B.y
CrossProduct.y = A.z*B.x - A.x*B.z
CrossProduct.z = A.x*B.y - A.y*B.z

DotProduct multiplies the elements of the vectors pairwise and sums the product

DotProduct = A.x*B.x + A.y*B.y + A.z*B.z

1e-6f means 10-6 and it is used to make sure that the length isn't too small. If the length is too small then the floating point operations will give you unexpected results because of the low accuracy of floating point values.



WitchLord

Edited by - WitchLord on 4/15/00 10:52:00 AM

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