401 lines
9.7 KiB
C++
401 lines
9.7 KiB
C++
/**
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* @file trigo.cpp
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* @brief Trigonometric functions.
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*/
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#include "fctsys.h"
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#include "macros.h"
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#include "trigo.h"
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bool TestSegmentHit( wxPoint aRefPoint, wxPoint aStart, wxPoint aEnd, int aDist )
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{
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// make coordinates relatives to aStart:
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aEnd -= aStart;
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aRefPoint -= aStart;
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return DistanceTest( aDist, aEnd.x, aEnd.y, aRefPoint.x, aRefPoint.y );
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}
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bool DistanceTest( int seuil, int dx, int dy, int spot_cX, int spot_cY )
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{
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/* We can have 4 cases::
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* horizontal segment
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* vertical segment
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* 45 degrees segment
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* other slopes
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*/
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int cXrot, cYrot, segX, segY;
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int pointX, pointY;
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segX = dx;
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segY = dy;
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pointX = spot_cX;
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pointY = spot_cY;
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/* Recalculating coord for the segment is in 1st quadrant (coord >= 0) */
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if( segX < 0 ) /* set > 0 by symmetry about the Y axis */
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{
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segX = -segX;
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pointX = -pointX;
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}
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if( segY < 0 ) /* set > 0 by symmetry about the X axis */
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{
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segY = -segY;
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pointY = -pointY;
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}
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if( segY == 0 ) /* horizontal */
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{
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if( abs( pointY ) <= seuil )
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{
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if( ( pointX >= 0 ) && ( pointX <= segX ) )
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return 1;
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if( ( pointX < 0 ) && ( pointX >= -seuil ) )
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{
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if( ( ( pointX * pointX ) + ( pointY * pointY ) ) <= ( seuil * seuil ) )
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return true;
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}
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if( ( pointX > segX ) && ( pointX <= ( segX + seuil ) ) )
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{
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if( ( ( ( pointX - segX ) * ( pointX - segX ) )
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+ ( pointY * pointY ) ) <= ( seuil * seuil ) )
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return true;
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}
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}
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}
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else if( segX == 0 ) /* vertical */
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{
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if( abs( pointX ) <= seuil )
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{
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if( ( pointY >= 0 ) && ( pointY <= segY ) )
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return true;
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if( ( pointY < 0 ) && ( pointY >= -seuil ) )
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{
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if( ( ( pointY * pointY ) + ( pointX * pointX ) ) <= ( seuil * seuil ) )
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return true;
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}
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if( ( pointY > segY ) && ( pointY <= ( segY + seuil ) ) )
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{
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if( ( ( ( pointY - segY ) * ( pointY - segY ) )
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+ ( pointX * pointX ) ) <= ( seuil * seuil ) )
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return true;
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}
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}
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}
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else if( segX == segY ) /* 45 degrees */
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{
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/* Rotate axes of 45 degrees. mouse was then
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* Coord: x1 = x * y * cos45 + sin45
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* y1 = y * cos45 - sin45 x *
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* And the segment of track is horizontal.
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* Coord recalculation of the mouse (sin45 = cos45 = .707 = 7 / 10
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* Note: sin or cos45 = .707, and when recalculating coord
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* dx45 and dy45, lect coeff .707 is neglected, dx and dy are
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* actually 0707 times
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* Too big. (security hole too small)
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* Spot_cX, Y * must be by .707 * .707 = 0.5
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*/
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cXrot = (pointX + pointY) >> 1;
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cYrot = (pointY - pointX) >> 1;
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/* Recalculating coord of segment extremity, which will be vertical
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* following the orientation of axes on the screen: dx45 = pointx
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* (or pointy) and 1.414 is actually greater, and dy45 = 0
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*/
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// * Threshold should be .707 to reflect the change in coeff dx, dy
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seuil *= 7;
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seuil /= 10;
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if( abs( cYrot ) <= seuil ) /* ok on vertical axis */
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{
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if( ( cXrot >= 0 ) && ( cXrot <= segX ) )
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return true;
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/* Check extremes using the radius of a circle. */
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if( ( cXrot < 0 ) && ( cXrot >= -seuil ) )
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{
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if( ( ( cXrot * cXrot ) + ( cYrot * cYrot ) ) <= ( seuil * seuil ) )
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return true;
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}
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if( ( cXrot > segX ) && ( cXrot <= ( segX + seuil ) ) )
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{
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if( ( ( ( cXrot - segX ) * ( cXrot - segX ) )
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+ ( cYrot * cYrot ) ) <= ( seuil * seuil ) )
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return true;
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}
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}
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}
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else /* any orientation */
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{
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/* There is a change of axis (rotation), so that the segment
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* track is horizontal in the new reference
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*/
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int angle;
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angle = wxRound( ( atan2( (double) segY, (double) segX ) * 1800.0 / M_PI ) );
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cXrot = pointX;
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cYrot = pointY;
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RotatePoint( &cXrot, &cYrot, angle ); /* Rotate the point to be tested */
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RotatePoint( &segX, &segY, angle ); /* Rotate the segment */
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/* The track is horizontal, following the amendments to coordinate
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* axis and, therefore segX = length of segment
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*/
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if( abs( cYrot ) <= seuil ) /* vertical axis */
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{
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if( ( cXrot >= 0 ) && ( cXrot <= segX ) )
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return true;
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if( ( cXrot < 0 ) && ( cXrot >= -seuil ) )
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{
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if( ( ( cXrot * cXrot ) + ( cYrot * cYrot ) ) <= ( seuil * seuil ) )
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return true;
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}
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if( ( cXrot > segX ) && ( cXrot <= ( segX + seuil ) ) )
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{
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if( ( ( ( cXrot - segX ) * ( cXrot - segX ) )
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+ ( cYrot * cYrot ) ) <= ( seuil * seuil ) )
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return true;
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}
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}
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}
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return false;
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}
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int ArcTangente( int dy, int dx )
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{
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double fangle;
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if( dy == 0 )
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{
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if( dx >= 0 )
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return 0;
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else
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return -1800;
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}
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if( dx == 0 )
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{
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if( dy >= 0 )
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return 900;
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else
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return -900;
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}
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if( dx == dy )
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{
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if( dx >= 0 )
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return 450;
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else
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return -1800 + 450;
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}
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if( dx == -dy )
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{
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if( dx >= 0 )
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return -450;
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else
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return 1800 - 450;
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}
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fangle = atan2( (double) dy, (double) dx ) / M_PI * 1800;
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return wxRound( fangle );
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}
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void RotatePoint( int* pX, int* pY, int angle )
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{
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int tmp;
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while( angle < 0 )
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angle += 3600;
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while( angle >= 3600 )
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angle -= 3600;
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// Cheap and dirty optimizations for 0, 90, 180, and 270 degrees.
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if( angle == 0 )
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return;
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if( angle == 900 ) /* sin = 1, cos = 0 */
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{
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tmp = *pX;
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*pX = *pY;
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*pY = -tmp;
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}
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else if( angle == 1800 ) /* sin = 0, cos = -1 */
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{
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*pX = -*pX;
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*pY = -*pY;
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}
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else if( angle == 2700 ) /* sin = -1, cos = 0 */
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{
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tmp = *pX;
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*pX = -*pY;
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*pY = tmp;
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}
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else
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{
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double fangle = DEG2RAD( (double) angle / 10.0 );
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double sinus = sin( fangle );
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double cosinus = cos( fangle );
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double fpx = (*pY * sinus ) + (*pX * cosinus );
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double fpy = (*pY * cosinus ) - (*pX * sinus );
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*pX = wxRound( fpx );
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*pY = wxRound( fpy );
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}
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}
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void RotatePoint( int* pX, int* pY, int cx, int cy, int angle )
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{
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int ox, oy;
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ox = *pX - cx;
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oy = *pY - cy;
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RotatePoint( &ox, &oy, angle );
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*pX = ox + cx;
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*pY = oy + cy;
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}
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void RotatePoint( wxPoint* point, int angle )
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{
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int ox, oy;
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ox = point->x;
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oy = point->y;
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RotatePoint( &ox, &oy, angle );
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point->x = ox;
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point->y = oy;
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}
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void RotatePoint( wxPoint* point, const wxPoint& centre, int angle )
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{
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int ox, oy;
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ox = point->x - centre.x;
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oy = point->y - centre.y;
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RotatePoint( &ox, &oy, angle );
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point->x = ox + centre.x;
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point->y = oy + centre.y;
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}
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void RotatePoint( double* pX, double* pY, double cx, double cy, int angle )
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{
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double ox, oy;
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ox = *pX - cx;
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oy = *pY - cy;
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RotatePoint( &ox, &oy, angle );
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*pX = ox + cx;
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*pY = oy + cy;
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}
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void RotatePoint( double* pX, double* pY, int angle )
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{
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double tmp;
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while( angle < 0 )
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angle += 3600;
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while( angle >= 3600 )
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angle -= 3600;
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// Cheap and dirty optimizations for 0, 90, 180, and 270 degrees.
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if( angle == 0 )
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return;
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if( angle == 900 ) /* sin = 1, cos = 0 */
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{
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tmp = *pX;
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*pX = *pY;
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*pY = -tmp;
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}
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else if( angle == 1800 ) /* sin = 0, cos = -1 */
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{
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*pX = -*pX;
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*pY = -*pY;
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}
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else if( angle == 2700 ) /* sin = -1, cos = 0 */
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{
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tmp = *pX;
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*pX = -*pY;
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*pY = tmp;
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}
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else
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{
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double fangle = DEG2RAD( (double) angle / 10.0 );
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double sinus = sin( fangle );
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double cosinus = cos( fangle );
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double fpx = (*pY * sinus ) + (*pX * cosinus );
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double fpy = (*pY * cosinus ) - (*pX * sinus );
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*pX = fpx;
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*pY = fpy;
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}
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}
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double EuclideanNorm( wxPoint vector )
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{
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return sqrt( (double) vector.x * (double) vector.x + (double) vector.y * (double) vector.y );
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}
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wxPoint TwoPointVector( wxPoint startPoint, wxPoint endPoint )
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{
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return endPoint - startPoint;
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}
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double DistanceLinePoint( wxPoint linePointA, wxPoint linePointB, wxPoint referencePoint )
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{
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return fabs( (double) ( (linePointB.x - linePointA.x) * (linePointA.y - referencePoint.y) -
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(linePointA.x - referencePoint.x ) * (linePointB.y - linePointA.y) )
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/ EuclideanNorm( TwoPointVector( linePointA, linePointB ) ) );
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}
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bool HitTestPoints( wxPoint pointA, wxPoint pointB, double threshold )
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{
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wxPoint vectorAB = TwoPointVector( pointA, pointB );
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double distance = EuclideanNorm( vectorAB );
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return distance < threshold;
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}
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int CrossProduct( wxPoint vectorA, wxPoint vectorB )
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{
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return vectorA.x * vectorB.y - vectorA.y * vectorB.x;
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}
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double GetLineLength( const wxPoint& aPointA, const wxPoint& aPointB )
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{
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return sqrt( pow( (double) aPointA.x - (double) aPointB.x, 2 ) +
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pow( (double) aPointA.y - (double) aPointB.y, 2 ) );
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}
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