Further suggestions for float -> double move
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@ -92,12 +92,12 @@ void PropertyLength::setPyObject(PyObject *value)
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setValue(UnitsApi::toDblWithUserPrefs(Length,value));
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#else
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float val=0.0f;
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double val=0.0f;
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if (PyFloat_Check(value)) {
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val = (float) PyFloat_AsDouble(value);
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val = PyFloat_AsDouble(value);
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}
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else if(PyInt_Check(value)) {
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val = (float) PyInt_AsLong(value);
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val = (double) PyInt_AsLong(value);
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}
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else {
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std::string error = std::string("type must be float or int, not ");
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@ -23,8 +23,8 @@
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#include "PreCompiled.h"
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#ifndef _PreComp_
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# include <memory>
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# include <cstring>
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# include <memory>
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# include <cstring>
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# include <sstream>
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#endif
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@ -449,6 +449,133 @@ bool Matrix4D::toAxisAngle (Vector3f& rclBase, Vector3f& rclDir, float& rfAngle,
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return true;
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}
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bool Matrix4D::toAxisAngle (Vector3d& rclBase, Vector3d& rclDir, double& rfAngle, double& fTranslation) const
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{
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// First check if the 3x3 submatrix is orthogonal
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for ( int i=0; i<3; i++ ) {
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// length must be one
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if ( fabs(dMtrx4D[0][i]*dMtrx4D[0][i]+dMtrx4D[1][i]*dMtrx4D[1][i]+dMtrx4D[2][i]*dMtrx4D[2][i]-1.0) > 0.01 )
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return false;
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// scalar product with other rows must be zero
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if ( fabs(dMtrx4D[0][i]*dMtrx4D[0][(i+1)%3]+dMtrx4D[1][i]*dMtrx4D[1][(i+1)%3]+dMtrx4D[2][i]*dMtrx4D[2][(i+1)%3]) > 0.01 )
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return false;
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}
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// Okay, the 3x3 matrix is orthogonal.
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// Note: The section to get the rotation axis and angle was taken from WildMagic Library.
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//
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// Let (x,y,z) be the unit-length axis and let A be an angle of rotation.
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// The rotation matrix is R = I + sin(A)*P + (1-cos(A))*P^2 where
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// I is the identity and
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//
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// +- -+
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// P = | 0 -z +y |
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// | +z 0 -x |
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// | -y +x 0 |
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// +- -+
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//
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// If A > 0, R represents a counterclockwise rotation about the axis in
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// the sense of looking from the tip of the axis vector towards the
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// origin. Some algebra will show that
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//
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// cos(A) = (trace(R)-1)/2 and R - R^t = 2*sin(A)*P
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//
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// In the event that A = pi, R-R^t = 0 which prevents us from extracting
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// the axis through P. Instead note that R = I+2*P^2 when A = pi, so
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// P^2 = (R-I)/2. The diagonal entries of P^2 are x^2-1, y^2-1, and
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// z^2-1. We can solve these for axis (x,y,z). Because the angle is pi,
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// it does not matter which sign you choose on the square roots.
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//
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// For more details see also http://www.math.niu.edu/~rusin/known-math/97/rotations
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double fTrace = dMtrx4D[0][0] + dMtrx4D[1][1] + dMtrx4D[2][2];
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double fCos = 0.5*(fTrace-1.0);
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rfAngle = acos(fCos); // in [0,PI]
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if ( rfAngle > 0.0f )
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{
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if ( rfAngle < F_PI )
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{
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rclDir.x = (dMtrx4D[2][1]-dMtrx4D[1][2]);
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rclDir.y = (dMtrx4D[0][2]-dMtrx4D[2][0]);
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rclDir.z = (dMtrx4D[1][0]-dMtrx4D[0][1]);
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rclDir.Normalize();
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}
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else
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{
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// angle is PI
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double fHalfInverse;
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if ( dMtrx4D[0][0] >= dMtrx4D[1][1] )
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{
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// r00 >= r11
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if ( dMtrx4D[0][0] >= dMtrx4D[2][2] )
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{
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// r00 is maximum diagonal term
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rclDir.x = (0.5*sqrt(dMtrx4D[0][0] - dMtrx4D[1][1] - dMtrx4D[2][2] + 1.0));
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fHalfInverse = 0.5/rclDir.x;
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rclDir.y = (fHalfInverse*dMtrx4D[0][1]);
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rclDir.z = (fHalfInverse*dMtrx4D[0][2]);
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}
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else
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{
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// r22 is maximum diagonal term
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rclDir.z = (0.5*sqrt(dMtrx4D[2][2] - dMtrx4D[0][0] - dMtrx4D[1][1] + 1.0));
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fHalfInverse = 0.5/rclDir.z;
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rclDir.x = (fHalfInverse*dMtrx4D[0][2]);
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rclDir.y = (fHalfInverse*dMtrx4D[1][2]);
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}
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}
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else
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{
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// r11 > r00
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if ( dMtrx4D[1][1] >= dMtrx4D[2][2] )
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{
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// r11 is maximum diagonal term
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rclDir.y = (0.5*sqrt(dMtrx4D[1][1] - dMtrx4D[0][0] - dMtrx4D[2][2] + 1.0));
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fHalfInverse = 0.5/rclDir.y;
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rclDir.x = (fHalfInverse*dMtrx4D[0][1]);
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rclDir.z = (fHalfInverse*dMtrx4D[1][2]);
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}
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else
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{
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// r22 is maximum diagonal term
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rclDir.z = (0.5*sqrt(dMtrx4D[2][2] - dMtrx4D[0][0] - dMtrx4D[1][1] + 1.0));
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fHalfInverse = 0.5/rclDir.z;
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rclDir.x = (fHalfInverse*dMtrx4D[0][2]);
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rclDir.y = (fHalfInverse*dMtrx4D[1][2]);
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}
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}
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}
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}
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else
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{
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// The angle is 0 and the matrix is the identity. Any axis will
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// work, so just use the x-axis.
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rclDir.x = 1.0;
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rclDir.y = 0.0;
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rclDir.z = 0.0;
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rclBase.x = 0.0;
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rclBase.y = 0.0;
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rclBase.z = 0.0;
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}
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// This is the translation part in axis direction
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fTranslation = (dMtrx4D[0][3]*rclDir.x+dMtrx4D[1][3]*rclDir.y+dMtrx4D[2][3]*rclDir.z);
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Vector3d cPnt(dMtrx4D[0][3],dMtrx4D[1][3],dMtrx4D[2][3]);
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cPnt = cPnt - fTranslation * rclDir;
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// This is the base point of the rotation axis
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if ( rfAngle > 0.0f )
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{
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double factor = 0.5*(1.0+fTrace)/sin(rfAngle);
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rclBase.x = (0.5*(cPnt.x+factor*(rclDir.y*cPnt.z-rclDir.z*cPnt.y)));
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rclBase.y = (0.5*(cPnt.y+factor*(rclDir.z*cPnt.x-rclDir.x*cPnt.z)));
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rclBase.z = (0.5*(cPnt.z+factor*(rclDir.x*cPnt.y-rclDir.y*cPnt.x)));
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}
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return true;
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}
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void Matrix4D::transform (const Vector3f& rclVct, const Matrix4D& rclMtrx)
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{
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move(-rclVct);
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@ -701,8 +828,8 @@ void Matrix4D::fromString(const std::string &str)
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input >> dMtrx4D[i][j];
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}
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}
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// Analyse the a transformation Matrix and describe the transformation
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// Analyse the a transformation Matrix and describe the transformation
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std::string Matrix4D::analyse(void) const
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{
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const double eps=1.0e-06;
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@ -723,22 +850,22 @@ std::string Matrix4D::analyse(void) const
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}
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else //translation and affine
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{
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if (dMtrx4D[0][1] == 0.0 && dMtrx4D[0][2] == 0.0 &&
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dMtrx4D[1][0] == 0.0 && dMtrx4D[1][2] == 0.0 &&
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if (dMtrx4D[0][1] == 0.0 && dMtrx4D[0][2] == 0.0 &&
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dMtrx4D[1][0] == 0.0 && dMtrx4D[1][2] == 0.0 &&
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dMtrx4D[2][0] == 0.0 && dMtrx4D[2][1] == 0.0) //scaling
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{
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std::ostringstream stringStream;
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stringStream << "Scale [" << dMtrx4D[0][0] << ", " <<
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std::ostringstream stringStream;
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stringStream << "Scale [" << dMtrx4D[0][0] << ", " <<
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dMtrx4D[1][1] << ", " << dMtrx4D[2][2] << "]";
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text = stringStream.str();
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text = stringStream.str();
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}
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else
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{
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Base::Matrix4D sub;
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sub[0][0] = dMtrx4D[0][0]; sub[0][1] = dMtrx4D[0][1];
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sub[0][2] = dMtrx4D[0][2]; sub[1][0] = dMtrx4D[1][0];
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sub[0][0] = dMtrx4D[0][0]; sub[0][1] = dMtrx4D[0][1];
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sub[0][2] = dMtrx4D[0][2]; sub[1][0] = dMtrx4D[1][0];
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sub[1][1] = dMtrx4D[1][1]; sub[1][2] = dMtrx4D[1][2];
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sub[2][0] = dMtrx4D[2][0]; sub[2][1] = dMtrx4D[2][1];
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sub[2][0] = dMtrx4D[2][0]; sub[2][1] = dMtrx4D[2][1];
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sub[2][2] = dMtrx4D[2][2];
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Base::Matrix4D trp = sub;
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@ -771,23 +898,23 @@ std::string Matrix4D::analyse(void) const
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}
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else //scaling with rotation
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{
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std::ostringstream stringStream;
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stringStream << "Scale and Rotate ";
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std::ostringstream stringStream;
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stringStream << "Scale and Rotate ";
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if (determinant<0.0 )
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stringStream << "and Invert ";
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stringStream << "[ " <<
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sqrt(trp[0][0]) << ", " << sqrt(trp[1][1]) << ", " <<
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stringStream << "and Invert ";
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stringStream << "[ " <<
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sqrt(trp[0][0]) << ", " << sqrt(trp[1][1]) << ", " <<
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sqrt(trp[2][2]) << "]";
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text = stringStream.str();
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text = stringStream.str();
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}
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}
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}
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else
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{
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std::ostringstream stringStream;
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stringStream << "Affine with det= " <<
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std::ostringstream stringStream;
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stringStream << "Affine with det= " <<
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determinant;
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text = stringStream.str();
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text = stringStream.str();
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}
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}
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}
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@ -795,4 +922,4 @@ std::string Matrix4D::analyse(void) const
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text += " with Translation";
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}
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return text;
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}
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}
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@ -26,7 +26,7 @@
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#include <cassert>
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#include <cmath>
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#include <cstdio>
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#include <cstdio>
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#include <string>
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#include "Vector3D.h"
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@ -108,12 +108,16 @@ public:
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/// moves the coordinatesystem for the x,y,z value
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void move (float x, float y, float z)
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{ move(Vector3f(x,y,z)); }
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void move (double x, double y, double z)
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{ move(Vector3d(x,y,z)); }
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/// moves the coordinatesystem for the vector
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void move (const Vector3f& rclVct);
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void move (const Vector3d& rclVct);
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/// scale for the vector
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void scale (float x, float y, float z)
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{ scale(Vector3f(x,y,z)); }
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void scale (double x, double y, double z)
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{ scale(Vector3d(x,y,z)); }
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/// scale for the x,y,z value
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void scale (const Vector3f& rclVct);
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void scale (const Vector3d& rclVct);
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@ -131,6 +135,7 @@ public:
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void rotLine (const Vector3d& rclBase, const Vector3d& rclDir, double fAngle);
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/// Extract the rotation axis and angle. Therefore the 3x3 submatrix must be orthogonal.
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bool toAxisAngle (Vector3f& rclBase, Vector3f& rclDir, float& fAngle, float& fTranslation) const;
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bool toAxisAngle (Vector3d& rclBase, Vector3d& rclDir, double& fAngle, double& fTranslation) const;
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/// transform (move,scale,rotate) around a point
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void transform (const Vector3f& rclVct, const Matrix4D& rclMtrx);
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void transform (const Vector3d& rclVct, const Matrix4D& rclMtrx);
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@ -75,9 +75,9 @@ public:
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* // read my Element
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* reader.readElement("PropertyVector");
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* // get the value of my Attribute
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* _cVec.x = (float)reader.getAttributeAsFloat("valueX");
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* _cVec.y = (float)reader.getAttributeAsFloat("valueY");
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* _cVec.z = (float)reader.getAttributeAsFloat("valueZ");
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* _cVec.x = reader.getAttributeAsFloat("valueX");
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* _cVec.y = reader.getAttributeAsFloat("valueY");
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* _cVec.z = reader.getAttributeAsFloat("valueZ");
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* }
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* \endcode
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*/
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