dng_matrix operator+ (const dng_matrix &A,
const dng_matrix &B)
{
if (A.Cols () != B.Cols () ||
A.Rows () != B.Rows ())
{
ThrowMatrixMath ();
}
dng_matrix C (A);
for (uint32 j = 0; j < C.Rows (); j++)
for (uint32 k = 0; k < C.Cols (); k++)
{
C [j] [k] += B [j] [k];
}
return C;
}
dng_matrix operator* (const dng_matrix &A,
const dng_matrix &B)
{
if (A.Cols () != B.Rows ())
{
ThrowMatrixMath ();
}
dng_matrix C (A.Rows (), B.Cols ());
for (uint32 j = 0; j < C.Rows (); j++)
for (uint32 k = 0; k < C.Cols (); k++)
{
C [j] [k] = 0.0;
for (uint32 m = 0; m < A.Cols (); m++)
{
real64 aa = A [j] [m];
real64 bb = B [m] [k];
C [j] [k] += aa * bb;
}
}
return C;
}
dng_vector operator* (const dng_matrix &A,
const dng_vector &B)
{
if (A.Cols () != B.Count ())
{
ThrowMatrixMath ();
}
dng_vector C (A.Rows ());
for (uint32 j = 0; j < C.Count (); j++)
{
C [j] = 0.0;
for (uint32 m = 0; m < A.Cols (); m++)
{
real64 aa = A [j] [m];
real64 bb = B [m];
C [j] += aa * bb;
}
}
return C;
}
dng_matrix Interpolate(double t1, double t2, double t,
const dng_matrix &m1, const dng_matrix &m2)
{
double r1, r2, r;
double t0;
double g;
int inv;
int i, j;
if(m1.IsEmpty())
return m2;
if(m2.IsEmpty())
return m1;
if((m1.Rows() != m2.Rows()) || (m1.Cols() != m2.Cols())) {
ThrowMatrixMath("Interpolate of matrices of differerent sizes");
}
if(t1 <= 1.0)
return m2;
if(t2 <= 1.0)
return m1;
inv=0;
if(t2 < t1) {
t0=t2;
t2=t1;
t1=t0;
inv=1;
}
if(t <= t1) {
if(inv)
return m2;
else
return m1;
}
if(t >= t2) {
if(inv)
return m1;
else
return m2;
}
r1=1.0/t1;
r2=1.0/t2;
r=1.0/t;
g=(r2-r)/(r2-r1);
if(inv)
g=1.0-g;
dng_matrix m(m1.Rows(), m1.Cols());
for(i=0; i<m.Rows(); i++) {
for(j=0; j<m.Cols(); j++) {
m[i][j]=m1[i][j]*g+m2[i][j]*(1.0-g);
}
}
m.Round(10000);
return m;
}
dng_vector_4::dng_vector_4 (const dng_vector &v)
: dng_vector (v)
{
if (Count () != 4)
{
ThrowMatrixMath ();
}
}
dng_vector_3::dng_vector_3 (const dng_vector &v)
: dng_vector (v)
{
if (Count () != 3)
{
ThrowMatrixMath ();
}
}
static dng_matrix Invert3by3 (const dng_matrix &A)
{
real64 a00 = A [0] [0];
real64 a01 = A [0] [1];
real64 a02 = A [0] [2];
real64 a10 = A [1] [0];
real64 a11 = A [1] [1];
real64 a12 = A [1] [2];
real64 a20 = A [2] [0];
real64 a21 = A [2] [1];
real64 a22 = A [2] [2];
real64 temp [3] [3];
temp [0] [0] = a11 * a22 - a21 * a12;
temp [0] [1] = a21 * a02 - a01 * a22;
temp [0] [2] = a01 * a12 - a11 * a02;
temp [1] [0] = a20 * a12 - a10 * a22;
temp [1] [1] = a00 * a22 - a20 * a02;
temp [1] [2] = a10 * a02 - a00 * a12;
temp [2] [0] = a10 * a21 - a20 * a11;
temp [2] [1] = a20 * a01 - a00 * a21;
temp [2] [2] = a00 * a11 - a10 * a01;
real64 det = (a00 * temp [0] [0] +
a01 * temp [1] [0] +
a02 * temp [2] [0]);
if (Abs_real64 (det) < kNearZero)
{
ThrowMatrixMath ();
}
dng_matrix B (3, 3);
for (uint32 j = 0; j < 3; j++)
for (uint32 k = 0; k < 3; k++)
{
B [j] [k] = temp [j] [k] / det;
}
return B;
}
dng_matrix_4by3::dng_matrix_4by3 (const dng_matrix &m)
: dng_matrix (m)
{
if (Rows () != 4 ||
Cols () != 3)
{
ThrowMatrixMath ();
}
}
dng_matrix Invert (const dng_matrix &A)
{
if (A.Rows () < 2 || A.Cols () < 2)
{
ThrowMatrixMath ();
}
if (A.Rows () == A.Cols ())
{
if (A.Rows () == 3)
{
return Invert3by3 (A);
}
return InvertNbyN (A);
}
else
{
// Compute the pseudo inverse.
dng_matrix B = Transpose (A);
return Invert (B * A) * B;
}
}
static dng_matrix InvertNbyN (const dng_matrix &A)
{
uint32 i;
uint32 j;
uint32 k;
uint32 n = A.Rows ();
real64 temp [kMaxColorPlanes] [kMaxColorPlanes * 2];
for (i = 0; i < n; i++)
for (j = 0; j < n; j++)
{
temp [i] [j ] = A [i] [j];
temp [i] [j + n] = (i == j ? 1.0 : 0.0);
}
for (i = 0; i < n; i++)
{
real64 alpha = temp [i] [i];
if (Abs_real64 (alpha) < kNearZero)
{
ThrowMatrixMath ();
}
for (j = 0; j < n * 2; j++)
{
temp [i] [j] /= alpha;
}
for (k = 0; k < n; k++)
{
if (i != k)
{
real64 beta = temp [k] [i];
for (j = 0; j < n * 2; j++)
{
temp [k] [j] -= beta * temp [i] [j];
}
}
}
}
dng_matrix B (n, n);
for (i = 0; i < n; i++)
for (j = 0; j < n; j++)
{
B [i] [j] = temp [i] [j + n];
}
return B;
}