2009-11-23 15:16:50 +00:00
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/****************************/
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/* Trigonometric functions. */
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/****************************/
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2007-06-05 12:10:51 +00:00
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#include "fctsys.h"
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#include "trigo.h"
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2010-11-12 16:36:43 +00:00
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/**
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* Function TestSegmentHit
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2009-06-13 17:06:07 +00:00
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* test for hit on line segment
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* i.e. cursor within a given distance from segment
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* @param aRefPoint = cursor (point to test) coords
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* @param aStart is the first end-point of the line segment
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* @param aEnd is the second end-point of the line segment
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* @param aDist = maximum distance for hit
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*/
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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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2007-06-05 12:10:51 +00:00
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2010-11-12 16:36:43 +00:00
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/**
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* Function DistanceTest
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2009-11-23 15:16:50 +00:00
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* Calculate the distance from mouse cursor to a line segment.
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* Returns:
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* False if distance > threshold
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* True if distance <= threshold
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2007-08-08 20:51:08 +00:00
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*/
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2009-11-23 15:16:50 +00:00
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bool DistanceTest( int seuil, int dx, int dy, int spot_cX, int spot_cY )
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2007-08-08 20:51:08 +00:00
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{
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2009-06-13 17:06:07 +00:00
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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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2009-11-23 15:16:50 +00:00
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int cXrot, cYrot, segX, segY;
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int pointX, pointY;
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2007-08-08 20:51:08 +00:00
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2009-02-04 15:25:03 +00:00
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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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2007-08-08 20:51:08 +00:00
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2009-11-23 15:16:50 +00:00
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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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2007-08-08 20:51:08 +00:00
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{
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2009-02-04 15:25:03 +00:00
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segX = -segX;
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pointX = -pointX;
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2007-08-08 20:51:08 +00:00
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}
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2009-11-23 15:16:50 +00:00
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if( segY < 0 ) /* set > 0 by symmetry about the X axis */
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2007-08-08 20:51:08 +00:00
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{
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2009-02-04 15:25:03 +00:00
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segY = -segY;
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pointY = -pointY;
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2007-08-08 20:51:08 +00:00
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}
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2009-11-23 15:16:50 +00:00
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if( segY == 0 ) /* horizontal */
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2007-08-08 20:51:08 +00:00
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{
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if( abs( pointY ) <= seuil )
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{
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2009-11-23 15:16:50 +00:00
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if( ( pointX >= 0 ) && ( pointX <= segX ) )
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2007-08-08 20:51:08 +00:00
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return 1;
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2009-11-23 15:16:50 +00:00
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if( ( pointX < 0 ) && ( pointX >= -seuil ) )
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( ( pointX * pointX ) + ( pointY * pointY ) )
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2010-02-04 17:46:12 +00:00
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<= ( seuil * seuil ) )
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2007-08-08 20:51:08 +00:00
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return true;
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}
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2009-11-23 15:16:50 +00:00
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if( ( pointX > segX ) && ( pointX <= ( segX + seuil ) ) )
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( ( ( pointX - segX ) * ( pointX - segX ) )
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2010-02-04 17:46:12 +00:00
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+ ( pointY * pointY ) ) <= ( seuil * seuil ) )
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2007-08-08 20:51:08 +00:00
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return true;
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}
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}
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}
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2009-11-23 15:16:50 +00:00
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else if( segX == 0 ) /* vertical */
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2007-08-08 20:51:08 +00:00
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{
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if( abs( pointX ) <= seuil )
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{
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2009-11-23 15:16:50 +00:00
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if( ( pointY >= 0 ) && ( pointY <= segY ) )
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2007-08-08 20:51:08 +00:00
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return true;
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2009-11-23 15:16:50 +00:00
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if( ( pointY < 0 ) && ( pointY >= -seuil ) )
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( ( pointY * pointY ) + ( pointX * pointX ) )
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2010-02-04 17:46:12 +00:00
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<= ( seuil * seuil ) )
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2007-08-08 20:51:08 +00:00
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return true;
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}
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2009-11-23 15:16:50 +00:00
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if( ( pointY > segY ) && ( pointY <= ( segY + seuil ) ) )
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( ( ( pointY - segY ) * ( pointY - segY ) )
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2010-02-04 17:46:12 +00:00
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+ ( pointX * pointX ) ) <= ( seuil * seuil ) )
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2007-08-08 20:51:08 +00:00
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return true;
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}
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}
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}
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2009-11-23 15:16:50 +00:00
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else if( segX == segY ) /* 45 degrees */
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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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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2007-08-08 20:51:08 +00:00
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cXrot = (pointX + pointY) >> 1;
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cYrot = (pointY - pointX) >> 1;
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2009-11-23 15:16:50 +00:00
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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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2007-08-08 20:51:08 +00:00
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2009-11-23 15:16:50 +00:00
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// * Threshold should be .707 to reflect the change in coeff dx, dy
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2009-02-04 15:25:03 +00:00
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seuil *= 7;
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seuil /= 10;
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2009-11-23 15:16:50 +00:00
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if( abs( cYrot ) <= seuil ) /* ok on vertical axis */
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( cXrot >= 0 ) && ( cXrot <= segX ) )
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2007-08-08 20:51:08 +00:00
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return true;
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2009-11-23 15:16:50 +00:00
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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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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( ( cXrot * cXrot ) + ( cYrot * cYrot ) )
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2010-02-04 17:46:12 +00:00
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<= ( seuil * seuil ) )
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2007-08-08 20:51:08 +00:00
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return true;
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}
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2009-11-23 15:16:50 +00:00
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if( ( cXrot > segX ) && ( cXrot <= ( segX + seuil ) ) )
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( ( ( cXrot - segX ) * ( cXrot - segX ) )
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2010-02-04 17:46:12 +00:00
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+ ( cYrot * cYrot ) ) <= ( seuil * seuil ) )
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2007-08-08 20:51:08 +00:00
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return true;
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}
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}
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}
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2009-11-23 15:16:50 +00:00
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else /* any orientation */
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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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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2007-08-08 20:51:08 +00:00
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int angle;
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2009-11-23 15:16:50 +00:00
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angle = wxRound( ( atan2( (double) segY,
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2010-02-04 17:46:12 +00:00
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(double) segX ) * 1800.0 / M_PI ) );
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2009-02-04 15:25:03 +00:00
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cXrot = pointX;
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cYrot = pointY;
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2007-08-08 20:51:08 +00:00
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2010-02-04 17:46:12 +00:00
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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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2007-08-08 20:51:08 +00:00
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2009-11-23 15:16:50 +00:00
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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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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( cXrot >= 0 ) && ( cXrot <= segX ) )
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2007-08-08 20:51:08 +00:00
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return true;
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2009-11-23 15:16:50 +00:00
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if( ( cXrot < 0 ) && ( cXrot >= -seuil ) )
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( ( cXrot * cXrot ) + ( cYrot * cYrot ) )
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2010-02-04 17:46:12 +00:00
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<= ( seuil * seuil ) )
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2007-08-08 20:51:08 +00:00
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return true;
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}
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2009-11-23 15:16:50 +00:00
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if( ( cXrot > segX ) && ( cXrot <= ( segX + seuil ) ) )
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2007-08-08 20:51:08 +00:00
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{
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2009-11-23 15:16:50 +00:00
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if( ( ( ( cXrot - segX ) * ( cXrot - segX ) )
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2010-02-04 17:46:12 +00:00
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+ ( cYrot * cYrot ) ) <= ( seuil * seuil ) )
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2007-08-08 20:51:08 +00:00
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return true;
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}
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}
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}
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2009-11-23 15:16:50 +00:00
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2007-08-08 20:51:08 +00:00
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return false;
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}
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2009-11-23 15:16:50 +00:00
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/* Return the arc tangent of 0.1 degrees coord vector dx, dy
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* between -1800 and 1800
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* Equivalent to atan2 (but faster for calculations if
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* the angle is 0 to -1800, or + - 900
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2007-08-04 20:05:54 +00:00
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*/
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2009-11-23 15:16:50 +00:00
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int ArcTangente( int dy, int dx )
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2007-06-05 12:10:51 +00:00
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{
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2007-08-04 20:05:54 +00:00
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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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2009-04-05 20:49:15 +00:00
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return wxRound( fangle );
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2007-06-05 12:10:51 +00:00
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}
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/*
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2009-11-23 15:16:50 +00:00
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* Calculate the new point of coord coord pX, pY,
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* for a rotation center 0, 0, and angle in (1 / 10 degree)
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2007-08-04 20:05:54 +00:00
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*/
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2009-11-23 15:16:50 +00:00
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void RotatePoint( int* pX, int* pY, int angle )
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2007-06-05 12:10:51 +00:00
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{
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2008-10-29 15:26:53 +00:00
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double fpx, fpy;
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2009-02-04 15:25:03 +00:00
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int tmp;
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2007-08-04 20:05:54 +00:00
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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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if( angle == 0 )
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return;
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2009-11-23 15:16:50 +00:00
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/* coord: xrot = y*sin + x*cos
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2007-08-04 20:05:54 +00:00
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* yrot = y*cos - x*sin
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*/
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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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2009-11-23 15:16:50 +00:00
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fpx = ( *pY * fsinus[angle] ) + ( *pX * fcosinus[angle] );
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fpy = ( *pY * fcosinus[angle] ) - ( *pX * fsinus[angle] );
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2007-08-04 20:05:54 +00:00
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2009-04-05 20:49:15 +00:00
|
|
|
*pX = wxRound( fpx );
|
|
|
|
|
*pY = wxRound( fpy );
|
2007-08-04 20:05:54 +00:00
|
|
|
}
|
2007-06-05 12:10:51 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
2009-11-23 15:16:50 +00:00
|
|
|
* Calculate the new point of coord coord pX, pY,
|
|
|
|
|
* for a rotation center cx, cy, and angle in (1 / 10 degree)
|
2007-08-04 20:05:54 +00:00
|
|
|
*/
|
2009-11-23 15:16:50 +00:00
|
|
|
void RotatePoint( int* pX, int* pY, int cx, int cy, int angle )
|
2007-06-05 12:10:51 +00:00
|
|
|
{
|
2007-08-04 20:05:54 +00:00
|
|
|
int ox, oy;
|
2007-06-05 12:10:51 +00:00
|
|
|
|
2008-10-29 15:26:53 +00:00
|
|
|
ox = *pX - cx;
|
2007-08-04 20:05:54 +00:00
|
|
|
oy = *pY - cy;
|
2008-10-29 15:26:53 +00:00
|
|
|
|
2007-08-04 20:05:54 +00:00
|
|
|
RotatePoint( &ox, &oy, angle );
|
|
|
|
|
|
|
|
|
|
*pX = ox + cx;
|
|
|
|
|
*pY = oy + cy;
|
2007-06-05 12:10:51 +00:00
|
|
|
}
|
|
|
|
|
|
2007-08-04 20:05:54 +00:00
|
|
|
|
2007-08-10 18:05:42 +00:00
|
|
|
/*
|
2009-11-23 15:16:50 +00:00
|
|
|
* Calculates the new coord point point
|
|
|
|
|
* for a rotation angle in (1 / 10 degree)
|
2007-08-10 18:05:42 +00:00
|
|
|
*/
|
2009-11-23 15:16:50 +00:00
|
|
|
void RotatePoint( wxPoint* point, int angle )
|
2007-08-10 18:05:42 +00:00
|
|
|
{
|
|
|
|
|
int ox, oy;
|
|
|
|
|
|
2008-10-29 15:26:53 +00:00
|
|
|
ox = point->x;
|
2007-08-10 18:05:42 +00:00
|
|
|
oy = point->y;
|
2008-10-29 15:26:53 +00:00
|
|
|
|
2007-08-10 18:05:42 +00:00
|
|
|
RotatePoint( &ox, &oy, angle );
|
|
|
|
|
point->x = ox;
|
|
|
|
|
point->y = oy;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
2007-06-05 12:10:51 +00:00
|
|
|
/*
|
2009-11-23 15:16:50 +00:00
|
|
|
* Calculates the new coord point point
|
|
|
|
|
* for a center rotation center and angle in (1 / 10 degree)
|
2007-08-04 20:05:54 +00:00
|
|
|
*/
|
2009-11-23 15:16:50 +00:00
|
|
|
void RotatePoint( wxPoint* point, const wxPoint& centre, int angle )
|
2007-06-05 12:10:51 +00:00
|
|
|
{
|
2007-08-04 20:05:54 +00:00
|
|
|
int ox, oy;
|
|
|
|
|
|
2008-10-29 15:26:53 +00:00
|
|
|
ox = point->x - centre.x;
|
2007-08-04 20:05:54 +00:00
|
|
|
oy = point->y - centre.y;
|
2008-10-29 15:26:53 +00:00
|
|
|
|
2007-08-04 20:05:54 +00:00
|
|
|
RotatePoint( &ox, &oy, angle );
|
|
|
|
|
point->x = ox + centre.x;
|
|
|
|
|
point->y = oy + centre.y;
|
2007-06-05 12:10:51 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
2007-08-04 20:05:54 +00:00
|
|
|
void RotatePoint( double* pX, double* pY, double cx, double cy, int angle )
|
2007-06-05 12:10:51 +00:00
|
|
|
{
|
2007-08-04 20:05:54 +00:00
|
|
|
double ox, oy;
|
|
|
|
|
|
2008-10-29 15:26:53 +00:00
|
|
|
ox = *pX - cx;
|
2007-08-04 20:05:54 +00:00
|
|
|
oy = *pY - cy;
|
2008-10-29 15:26:53 +00:00
|
|
|
|
2007-08-04 20:05:54 +00:00
|
|
|
RotatePoint( &ox, &oy, angle );
|
2008-10-29 15:26:53 +00:00
|
|
|
|
2007-08-04 20:05:54 +00:00
|
|
|
*pX = ox + cx;
|
|
|
|
|
*pY = oy + cy;
|
2007-06-05 12:10:51 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
2007-08-04 20:05:54 +00:00
|
|
|
void RotatePoint( double* pX, double* pY, int angle )
|
2007-06-05 12:10:51 +00:00
|
|
|
{
|
2007-08-04 20:05:54 +00:00
|
|
|
double tmp;
|
|
|
|
|
|
|
|
|
|
while( angle < 0 )
|
|
|
|
|
angle += 3600;
|
|
|
|
|
|
|
|
|
|
while( angle >= 3600 )
|
|
|
|
|
angle -= 3600;
|
|
|
|
|
|
|
|
|
|
if( angle == 0 )
|
|
|
|
|
return;
|
|
|
|
|
|
|
|
|
|
if( angle == 900 ) /* sin = 1, cos = 0 */
|
|
|
|
|
{
|
|
|
|
|
tmp = *pX;
|
|
|
|
|
*pX = *pY;
|
|
|
|
|
*pY = -tmp;
|
|
|
|
|
}
|
|
|
|
|
else if( angle == 1800 ) /* sin = 0, cos = -1 */
|
|
|
|
|
{
|
|
|
|
|
*pX = -*pX;
|
|
|
|
|
*pY = -*pY;
|
|
|
|
|
}
|
|
|
|
|
else if( angle == 2700 ) /* sin = -1, cos = 0 */
|
|
|
|
|
{
|
|
|
|
|
tmp = *pX;
|
|
|
|
|
*pX = -*pY;
|
|
|
|
|
*pY = tmp;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
2009-02-04 15:25:03 +00:00
|
|
|
double fpx = (*pY * fsinus[angle]) + (*pX * fcosinus[angle]);
|
2007-08-04 20:05:54 +00:00
|
|
|
double fpy = (*pY * fcosinus[angle]) - (*pX * fsinus[angle]);
|
2008-10-29 15:26:53 +00:00
|
|
|
|
|
|
|
|
*pX = fpx;
|
2007-08-04 20:05:54 +00:00
|
|
|
*pY = fpy;
|
|
|
|
|
}
|
2007-06-05 12:10:51 +00:00
|
|
|
}
|
2007-08-08 20:51:08 +00:00
|
|
|
|
|
|
|
|
|
2010-02-04 17:46:12 +00:00
|
|
|
double EuclideanNorm( wxPoint vector )
|
|
|
|
|
{
|
|
|
|
|
return sqrt( (double) vector.x * (double) vector.x + (double) vector.y * (double) vector.y );
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
wxPoint TwoPointVector( wxPoint startPoint, wxPoint endPoint )
|
|
|
|
|
{
|
|
|
|
|
return endPoint - startPoint;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
double DistanceLinePoint( wxPoint linePointA, wxPoint linePointB, wxPoint referencePoint )
|
|
|
|
|
{
|
2010-02-10 16:25:13 +00:00
|
|
|
return fabs( (double) ( (linePointB.x - linePointA.x) * (linePointA.y - referencePoint.y) -
|
|
|
|
|
(linePointA.x - referencePoint.x ) * (linePointB.y - linePointA.y) )
|
|
|
|
|
/ EuclideanNorm( TwoPointVector( linePointA, linePointB ) ) );
|
2010-02-04 17:46:12 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
bool HitTestPoints( wxPoint pointA, wxPoint pointB, double threshold )
|
|
|
|
|
{
|
|
|
|
|
wxPoint vectorAB = TwoPointVector( pointA, pointB );
|
|
|
|
|
double distance = EuclideanNorm( vectorAB );
|
|
|
|
|
|
|
|
|
|
return distance < threshold;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
int CrossProduct( wxPoint vectorA, wxPoint vectorB )
|
|
|
|
|
{
|
|
|
|
|
return vectorA.x * vectorB.y - vectorA.y * vectorB.x;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
2011-03-25 19:16:05 +00:00
|
|
|
double GetLineLength( const wxPoint& aPointA, const wxPoint& aPointB )
|
|
|
|
|
{
|
|
|
|
|
return sqrt( pow( (double) aPointA.x - (double) aPointB.x, 2 ) +
|
|
|
|
|
pow( (double) aPointA.y - (double) aPointB.y, 2 ) );
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
2009-05-21 17:42:42 +00:00
|
|
|
double fsinus[3600] =
|
2009-02-04 15:25:03 +00:00
|
|
|
{
|
2010-02-04 17:46:12 +00:00
|
|
|
0.0000000000, 0.0017453284, 0.0034906514, 0.0052359638,
|
|
|
|
|
0.0069812603, 0.0087265355, 0.0104717841, 0.0122170008, 0.0139621803,
|
|
|
|
|
0.0157073173, 0.0174524064, 0.0191974424, 0.0209424199, 0.0226873336,
|
|
|
|
|
0.0244321782, 0.0261769483, 0.0279216387, 0.0296662441, 0.0314107591,
|
|
|
|
|
0.0331551784, 0.0348994967, 0.0366437087, 0.0383878091, 0.0401317925,
|
|
|
|
|
0.0418756537, 0.0436193874, 0.0453629881, 0.0471064507, 0.0488497698,
|
|
|
|
|
0.0505929401, 0.0523359562, 0.0540788130, 0.0558215050, 0.0575640270,
|
|
|
|
|
0.0593063736, 0.0610485395, 0.0627905195, 0.0645323083, 0.0662739004,
|
|
|
|
|
0.0680152907, 0.0697564737, 0.0714974443, 0.0732381971, 0.0749787268,
|
|
|
|
|
0.0767190281, 0.0784590957, 0.0801989243, 0.0819385086, 0.0836778433,
|
|
|
|
|
0.0854169231, 0.0871557427, 0.0888942969, 0.0906325802, 0.0923705874,
|
|
|
|
|
0.0941083133, 0.0958457525, 0.0975828998, 0.0993197497, 0.1010562972,
|
|
|
|
|
0.1027925368, 0.1045284633, 0.1062640713, 0.1079993557, 0.1097343111,
|
|
|
|
|
0.1114689322, 0.1132032138, 0.1149371505, 0.1166707371, 0.1184039683,
|
|
|
|
|
0.1201368388, 0.1218693434, 0.1236014767, 0.1253332336, 0.1270646086,
|
|
|
|
|
0.1287955966, 0.1305261922, 0.1322563903, 0.1339861854, 0.1357155724,
|
|
|
|
|
0.1374445460, 0.1391731010, 0.1409012319, 0.1426289337, 0.1443562010,
|
|
|
|
|
0.1460830286, 0.1478094111, 0.1495353434, 0.1512608202, 0.1529858363,
|
|
|
|
|
0.1547103863, 0.1564344650, 0.1581580673, 0.1598811877, 0.1616038211,
|
|
|
|
|
0.1633259622, 0.1650476059, 0.1667687467, 0.1684893796, 0.1702094992,
|
|
|
|
|
0.1719291003, 0.1736481777, 0.1753667261, 0.1770847403, 0.1788022151,
|
|
|
|
|
0.1805191453, 0.1822355255, 0.1839513506, 0.1856666154, 0.1873813146,
|
|
|
|
|
0.1890954430, 0.1908089954, 0.1925219665, 0.1942343512, 0.1959461442,
|
|
|
|
|
0.1976573404, 0.1993679344, 0.2010779211, 0.2027872954, 0.2044960518,
|
|
|
|
|
0.2062041854, 0.2079116908, 0.2096185629, 0.2113247965, 0.2130303863,
|
|
|
|
|
0.2147353272, 0.2164396139, 0.2181432414, 0.2198462044, 0.2215484976,
|
|
|
|
|
0.2232501160, 0.2249510543, 0.2266513074, 0.2283508701, 0.2300497372,
|
|
|
|
|
0.2317479035, 0.2334453639, 0.2351421131, 0.2368381461, 0.2385334576,
|
|
|
|
|
0.2402280425, 0.2419218956, 0.2436150118, 0.2453073859, 0.2469990127,
|
|
|
|
|
0.2486898872, 0.2503800041, 0.2520693582, 0.2537579446, 0.2554457579,
|
|
|
|
|
0.2571327932, 0.2588190451, 0.2605045086, 0.2621891786, 0.2638730500,
|
|
|
|
|
0.2655561175, 0.2672383761, 0.2689198206, 0.2706004460, 0.2722802470,
|
|
|
|
|
0.2739592187, 0.2756373558, 0.2773146533, 0.2789911060, 0.2806667089,
|
|
|
|
|
0.2823414568, 0.2840153447, 0.2856883674, 0.2873605198, 0.2890317969,
|
|
|
|
|
0.2907021936, 0.2923717047, 0.2940403252, 0.2957080500, 0.2973748741,
|
|
|
|
|
0.2990407923, 0.3007057995, 0.3023698908, 0.3040330609, 0.3056953050,
|
|
|
|
|
0.3073566178, 0.3090169944, 0.3106764296, 0.3123349185, 0.3139924560,
|
|
|
|
|
0.3156490369, 0.3173046564, 0.3189593093, 0.3206129906, 0.3222656952,
|
|
|
|
|
0.3239174182, 0.3255681545, 0.3272178990, 0.3288666467, 0.3305143927,
|
|
|
|
|
0.3321611319, 0.3338068592, 0.3354515698, 0.3370952584, 0.3387379202,
|
|
|
|
|
0.3403795502, 0.3420201433, 0.3436596946, 0.3452981990, 0.3469356516,
|
|
|
|
|
0.3485720473, 0.3502073813, 0.3518416484, 0.3534748438, 0.3551069624,
|
|
|
|
|
0.3567379993, 0.3583679495, 0.3599968081, 0.3616245701, 0.3632512305,
|
|
|
|
|
0.3648767843, 0.3665012267, 0.3681245527, 0.3697467573, 0.3713678356,
|
|
|
|
|
0.3729877826, 0.3746065934, 0.3762242631, 0.3778407868, 0.3794561595,
|
|
|
|
|
0.3810703764, 0.3826834324, 0.3842953227, 0.3859060423, 0.3875155865,
|
|
|
|
|
0.3891239501, 0.3907311285, 0.3923371166, 0.3939419096, 0.3955455026,
|
|
|
|
|
0.3971478906, 0.3987490689, 0.4003490326, 0.4019477767, 0.4035452964,
|
|
|
|
|
0.4051415868, 0.4067366431, 0.4083304604, 0.4099230338, 0.4115143586,
|
|
|
|
|
0.4131044298, 0.4146932427, 0.4162807923, 0.4178670738, 0.4194520824,
|
|
|
|
|
0.4210358134, 0.4226182617, 0.4241994227, 0.4257792916, 0.4273578634,
|
|
|
|
|
0.4289351334, 0.4305110968, 0.4320857488, 0.4336590846, 0.4352310994,
|
|
|
|
|
0.4368017884, 0.4383711468, 0.4399391699, 0.4415058528, 0.4430711908,
|
|
|
|
|
0.4446351792, 0.4461978131, 0.4477590878, 0.4493189986, 0.4508775407,
|
|
|
|
|
0.4524347093, 0.4539904997, 0.4555449072, 0.4570979271, 0.4586495545,
|
|
|
|
|
0.4601997848, 0.4617486132, 0.4632960351, 0.4648420457, 0.4663866403,
|
|
|
|
|
0.4679298143, 0.4694715628, 0.4710118812, 0.4725507649, 0.4740882090,
|
|
|
|
|
0.4756242091, 0.4771587603, 0.4786918579, 0.4802234974, 0.4817536741,
|
|
|
|
|
0.4832823833, 0.4848096202, 0.4863353804, 0.4878596591, 0.4893824517,
|
|
|
|
|
0.4909037536, 0.4924235601, 0.4939418666, 0.4954586684, 0.4969739610,
|
|
|
|
|
0.4984877398, 0.5000000000, 0.5015107372, 0.5030199466, 0.5045276238,
|
|
|
|
|
0.5060337641, 0.5075383630, 0.5090414158, 0.5105429179, 0.5120428649,
|
|
|
|
|
0.5135412521, 0.5150380749, 0.5165333289, 0.5180270094, 0.5195191119,
|
|
|
|
|
0.5210096318, 0.5224985647, 0.5239859060, 0.5254716511, 0.5269557955,
|
|
|
|
|
0.5284383347, 0.5299192642, 0.5313985795, 0.5328762761, 0.5343523494,
|
|
|
|
|
0.5358267950, 0.5372996083, 0.5387707850, 0.5402403205, 0.5417082103,
|
|
|
|
|
0.5431744500, 0.5446390350, 0.5461019610, 0.5475632235, 0.5490228180,
|
|
|
|
|
0.5504807401, 0.5519369853, 0.5533915492, 0.5548444274, 0.5562956155,
|
|
|
|
|
0.5577451090, 0.5591929035, 0.5606389946, 0.5620833779, 0.5635260489,
|
|
|
|
|
0.5649670034, 0.5664062369, 0.5678437451, 0.5692795234, 0.5707135677,
|
|
|
|
|
0.5721458734, 0.5735764364, 0.5750052520, 0.5764323162, 0.5778576244,
|
|
|
|
|
0.5792811723, 0.5807029557, 0.5821229702, 0.5835412114, 0.5849576750,
|
|
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0.6004202253, 0.6018150232, 0.6032079877, 0.6045991149, 0.6059884003,
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0.6073758397, 0.6087614290, 0.6101451639, 0.6115270402, 0.6129070537,
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0.6142852001, 0.6156614753, 0.6170358751, 0.6184083954, 0.6197790318,
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0.6211477803, 0.6225146366, 0.6238795967, 0.6252426563, 0.6266038114,
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0.6279630576, 0.6293203910, 0.6306758074, 0.6320293027, 0.6333808726,
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0.6347305132, 0.6360782203, 0.6374239897, 0.6387678175, 0.6401096995,
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0.6414496316, 0.6427876097, 0.6441236298, 0.6454576877, 0.6467897795,
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0.6481199011, 0.6494480483, 0.6507742173, 0.6520984038, 0.6534206040,
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0.6547408137, 0.6560590290, 0.6573752458, 0.6586894601, 0.6600016680,
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0.6613118653, 0.6626200482, 0.6639262127, 0.6652303547, 0.6665324702,
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0.6678325555, 0.6691306064, 0.6704266190, 0.6717205893, 0.6730125135,
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0.6743023876, 0.6755902076, 0.6768759697, 0.6781596699, 0.6794413043,
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0.6807208690, 0.6819983601, 0.6832737737, 0.6845471059, 0.6858183529,
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0.6870875108, 0.6883545757, 0.6896195437, 0.6908824111, 0.6921431739,
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0.6934018283, 0.6946583705, 0.6959127966, 0.6971651029, 0.6984152854,
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0.6996633405, 0.7009092643, 0.7021530530, 0.7033947028, 0.7046342100,
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0.7058715707, 0.7071067812, 0.7083398377, 0.7095707365, 0.7107994739,
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0.7120260460, 0.7132504492, 0.7144726796, 0.7156927337, 0.7169106077,
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0.7301622766, 0.7313537016, 0.7325428988, 0.7337298645, 0.7349145951,
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0.7360970871, 0.7372773368, 0.7384553406, 0.7396310950, 0.7408045963,
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0.7419758410, 0.7431448255, 0.7443115462, 0.7454759997, 0.7466381823,
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0.7477980905, 0.7489557208, 0.7501110696, 0.7512641335, 0.7524149089,
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0.7535633923, 0.7547095802, 0.7558534692, 0.7569950557, 0.7581343362,
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0.7592713073, 0.7604059656, 0.7615383075, 0.7626683297, 0.7637960286,
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0.7649214009, 0.7660444431, 0.7671651518, 0.7682835236, 0.7693995550,
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0.7705132428, 0.7716245834, 0.7727335735, 0.7738402097, 0.7749444887,
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0.7760464071, 0.7771459615, 0.7782431485, 0.7793379649, 0.7804304073,
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0.7815204724, 0.7826081569, 0.7836934573, 0.7847763705, 0.7858568932,
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0.7869350220, 0.7880107536, 0.7890840848, 0.7901550124, 0.7912235330,
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0.7922896434, 0.7933533403, 0.7944146205, 0.7954734809, 0.7965299180,
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0.7975839288, 0.7986355100, 0.7996846585, 0.8007313709, 0.8017756442,
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0.8028174752, 0.8038568606, 0.8048937974, 0.8059282822, 0.8069603121,
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0.8079898839, 0.8090169944, 0.8100416404, 0.8110638190, 0.8120835269,
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0.8131007610, 0.8141155184, 0.8151277957, 0.8161375901, 0.8171448983,
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0.8181497174, 0.8191520443, 0.8201518759, 0.8211492091, 0.8221440410,
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0.8231363685, 0.8241261886, 0.8251134983, 0.8260982945, 0.8270805743,
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0.8280603346, 0.8290375726, 0.8300122851, 0.8309844693, 0.8319541221,
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0.8329212407, 0.8338858221, 0.8348478633, 0.8358073614, 0.8367643135,
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0.8377187166, 0.8386705679, 0.8396198645, 0.8405666035, 0.8415107819,
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0.8424523970, 0.8433914458, 0.8443279255, 0.8452618332, 0.8461931661,
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0.8471219214, 0.8480480962, 0.8489716876, 0.8498926930, 0.8508111094,
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0.8517269341, 0.8526401644, 0.8535507973, 0.8544588301, 0.8553642602,
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0.8562670846, 0.8571673007, 0.8580649057, 0.8589598969, 0.8598522716,
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0.8607420270, 0.8616291604, 0.8625136692, 0.8633955506, 0.8642748020,
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0.8651514206, 0.8660254038, 0.8668967489, 0.8677654534, 0.8686315144,
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0.8694949295, 0.8703556959, 0.8712138111, 0.8720692724, 0.8729220773,
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0.8737722230, 0.8746197071, 0.8754645270, 0.8763066800, 0.8771461637,
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0.8779829754, 0.8788171127, 0.8796485729, 0.8804773535, 0.8813034521,
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0.8821268660, 0.8829475929, 0.8837656301, 0.8845809752, 0.8853936258,
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0.8862035792, 0.8870108332, 0.8878153851, 0.8886172327, 0.8894163733,
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0.8902128046, 0.8910065242, 0.8917975296, 0.8925858185, 0.8933713883,
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0.8941542368, 0.8949343616, 0.8957117602, 0.8964864304, 0.8972583697,
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0.8980275758, 0.8987940463, 0.8995577790, 0.9003187714, 0.9010770213,
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0.9018325264, 0.9025852843, 0.9033352929, 0.9040825497, 0.9048270525,
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0.9055687990, 0.9063077870, 0.9070440143, 0.9077774785, 0.9085081775,
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0.9092361090, 0.9099612709, 0.9106836608, 0.9114032766, 0.9121201162,
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0.9128341772, 0.9135454576, 0.9142539552, 0.9149596678, 0.9156625933,
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0.9163627296, 0.9170600744, 0.9177546257, 0.9184463813, 0.9191353393,
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0.9198214973, 0.9205048535, 0.9211854056, 0.9218631516, 0.9225380895,
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0.9232102171, 0.9238795325, 0.9245460336, 0.9252097184, 0.9258705848,
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0.9265286309, 0.9271838546, 0.9278362539, 0.9284858269, 0.9291325715,
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0.9297764859, 0.9304175680, 0.9310558159, 0.9316912276, 0.9323238012,
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0.9329535348, 0.9335804265, 0.9342044743, 0.9348256764, 0.9354440308,
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0.9360595357, 0.9366721892, 0.9372819895, 0.9378889346, 0.9384930228,
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0.9390942521, 0.9396926208, 0.9402881270, 0.9408807690, 0.9414705448,
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0.9420574528, 0.9426414911, 0.9432226579, 0.9438009516, 0.9443763702,
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0.9449489122, 0.9455185756, 0.9460853588, 0.9466492601, 0.9472102777,
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0.9477684100, 0.9483236552, 0.9488760116, 0.9494254776, 0.9499720515,
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0.9505157316, 0.9510565163, 0.9515944039, 0.9521293927, 0.9526614813,
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0.9557930148, 0.9563047560, 0.9568135841, 0.9573194975, 0.9578224948,
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0.9583225745, 0.9588197349, 0.9593139745, 0.9598052920, 0.9602936857,
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0.9607791542, 0.9612616959, 0.9617413095, 0.9622179935, 0.9626917464,
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0.9631625668, 0.9636304532, 0.9640954042, 0.9645574185, 0.9650164945,
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0.9654726309, 0.9659258263, 0.9663760793, 0.9668233886, 0.9672677528,
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0.9677091705, 0.9681476404, 0.9685831611, 0.9690157314, 0.9694453499,
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0.9719610006, 0.9723699204, 0.9727758782, 0.9731788728, 0.9735789029,
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0.9933727656, 0.9935718557, 0.9937679192, 0.9939609555, 0.9941509640,
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0.9943379441, 0.9945218954, 0.9947028171, 0.9948807088, 0.9950555700,
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0.9952274000, 0.9953961984, 0.9955619646, 0.9957246982, 0.9958843986,
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0.9960410654, 0.9961946981, 0.9963452962, 0.9964928592, 0.9966373868,
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0.9999756307, 0.9999619231, 0.9999451694, 0.9999253697, 0.9999025240,
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0.9998766325, 0.9998476952, 0.9998157121, 0.9997806835, 0.9997426093,
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0.9955619646, 0.9953961984, 0.9952274000, 0.9950555700, 0.9948807088,
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0.9947028171, 0.9945218954, 0.9943379441, 0.9941509640, 0.9939609555,
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0.9916711624, 0.9914448614, 0.9912155403, 0.9909831997, 0.9907478405,
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0.9568135841, 0.9563047560, 0.9557930148, 0.9552783621, 0.9547607995,
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0.9542403285, 0.9537169507, 0.9531906678, 0.9526614813, 0.9521293927,
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0.9515944039, 0.9510565163, 0.9505157316, 0.9499720515, 0.9494254776,
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0.9460853588, 0.9455185756, 0.9449489122, 0.9443763702, 0.9438009516,
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0.9432226579, 0.9426414911, 0.9420574528, 0.9414705448, 0.9408807690,
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0.9402881270, 0.9396926208, 0.9390942521, 0.9384930228, 0.9378889346,
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0.9372819895, 0.9366721892, 0.9360595357, 0.9354440308, 0.9348256764,
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0.9342044743, 0.9335804265, 0.9329535348, 0.9323238012, 0.9316912276,
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-0.5239859060, -0.5224985647, -0.5210096318, -0.5195191119,-0.5180270094,
|
|
|
|
|
-0.5165333289, -0.5150380749, -0.5135412521, -0.5120428649,-0.5105429179,
|
|
|
|
|
-0.5090414158, -0.5075383630, -0.5060337641, -0.5045276238,-0.5030199466,
|
|
|
|
|
-0.5015107372, -0.5000000000, -0.4984877398, -0.4969739610,-0.4954586684,
|
|
|
|
|
-0.4939418666, -0.4924235601, -0.4909037536, -0.4893824517,-0.4878596591,
|
|
|
|
|
-0.4863353804, -0.4848096202, -0.4832823833, -0.4817536741,-0.4802234974,
|
|
|
|
|
-0.4786918579, -0.4771587603, -0.4756242091, -0.4740882090,-0.4725507649,
|
|
|
|
|
-0.4710118812, -0.4694715628, -0.4679298143, -0.4663866403,-0.4648420457,
|
|
|
|
|
-0.4632960351, -0.4617486132, -0.4601997848, -0.4586495545,-0.4570979271,
|
|
|
|
|
-0.4555449072, -0.4539904997, -0.4524347093, -0.4508775407,-0.4493189986,
|
|
|
|
|
-0.4477590878, -0.4461978131, -0.4446351792, -0.4430711908,-0.4415058528,
|
|
|
|
|
-0.4399391699, -0.4383711468, -0.4368017884, -0.4352310994,-0.4336590846,
|
|
|
|
|
-0.4320857488, -0.4305110968, -0.4289351334, -0.4273578634,-0.4257792916,
|
|
|
|
|
-0.4241994227, -0.4226182617, -0.4210358134, -0.4194520824,-0.4178670738,
|
|
|
|
|
-0.4162807923, -0.4146932427, -0.4131044298, -0.4115143586,-0.4099230338,
|
|
|
|
|
-0.4083304604, -0.4067366431, -0.4051415868, -0.4035452964,-0.4019477767,
|
|
|
|
|
-0.4003490326, -0.3987490689, -0.3971478906, -0.3955455026,-0.3939419096,
|
|
|
|
|
-0.3923371166, -0.3907311285, -0.3891239501, -0.3875155865,-0.3859060423,
|
|
|
|
|
-0.3842953227, -0.3826834324, -0.3810703764, -0.3794561595,-0.3778407868,
|
|
|
|
|
-0.3762242631, -0.3746065934, -0.3729877826, -0.3713678356,-0.3697467573,
|
|
|
|
|
-0.3681245527, -0.3665012267, -0.3648767843, -0.3632512305,-0.3616245701,
|
|
|
|
|
-0.3599968081, -0.3583679495, -0.3567379993, -0.3551069624,-0.3534748438,
|
|
|
|
|
-0.3518416484, -0.3502073813, -0.3485720473, -0.3469356516,-0.3452981990,
|
|
|
|
|
-0.3436596946, -0.3420201433, -0.3403795502, -0.3387379202,-0.3370952584,
|
|
|
|
|
-0.3354515698, -0.3338068592, -0.3321611319, -0.3305143927,-0.3288666467,
|
|
|
|
|
-0.3272178990, -0.3255681545, -0.3239174182, -0.3222656952,-0.3206129906,
|
|
|
|
|
-0.3189593093, -0.3173046564, -0.3156490369, -0.3139924560,-0.3123349185,
|
|
|
|
|
-0.3106764296, -0.3090169944, -0.3073566178, -0.3056953050,-0.3040330609,
|
|
|
|
|
-0.3023698908, -0.3007057995, -0.2990407923, -0.2973748741,-0.2957080500,
|
|
|
|
|
-0.2940403252, -0.2923717047, -0.2907021936, -0.2890317969,-0.2873605198,
|
|
|
|
|
-0.2856883674, -0.2840153447, -0.2823414568, -0.2806667089,-0.2789911060,
|
|
|
|
|
-0.2773146533, -0.2756373558, -0.2739592187, -0.2722802470,-0.2706004460,
|
|
|
|
|
-0.2689198206, -0.2672383761, -0.2655561175, -0.2638730500,-0.2621891786,
|
|
|
|
|
-0.2605045086, -0.2588190451, -0.2571327932, -0.2554457579,-0.2537579446,
|
|
|
|
|
-0.2520693582, -0.2503800041, -0.2486898872, -0.2469990127,-0.2453073859,
|
|
|
|
|
-0.2436150118, -0.2419218956, -0.2402280425, -0.2385334576,-0.2368381461,
|
|
|
|
|
-0.2351421131, -0.2334453639, -0.2317479035, -0.2300497372,-0.2283508701,
|
|
|
|
|
-0.2266513074, -0.2249510543, -0.2232501160, -0.2215484976,-0.2198462044,
|
|
|
|
|
-0.2181432414, -0.2164396139, -0.2147353272, -0.2130303863,-0.2113247965,
|
|
|
|
|
-0.2096185629, -0.2079116908, -0.2062041854, -0.2044960518,-0.2027872954,
|
|
|
|
|
-0.2010779211, -0.1993679344, -0.1976573404, -0.1959461442,-0.1942343512,
|
|
|
|
|
-0.1925219665, -0.1908089954, -0.1890954430, -0.1873813146,-0.1856666154,
|
|
|
|
|
-0.1839513506, -0.1822355255, -0.1805191453, -0.1788022151,-0.1770847403,
|
|
|
|
|
-0.1753667261, -0.1736481777, -0.1719291003, -0.1702094992,-0.1684893796,
|
|
|
|
|
-0.1667687467, -0.1650476059, -0.1633259622, -0.1616038211,-0.1598811877,
|
|
|
|
|
-0.1581580673, -0.1564344650, -0.1547103863, -0.1529858363,-0.1512608202,
|
|
|
|
|
-0.1495353434, -0.1478094111, -0.1460830286, -0.1443562010,-0.1426289337,
|
|
|
|
|
-0.1409012319, -0.1391731010, -0.1374445460, -0.1357155724,-0.1339861854,
|
|
|
|
|
-0.1322563903, -0.1305261922, -0.1287955966, -0.1270646086,-0.1253332336,
|
|
|
|
|
-0.1236014767, -0.1218693434, -0.1201368388, -0.1184039683,-0.1166707371,
|
|
|
|
|
-0.1149371505, -0.1132032138, -0.1114689322, -0.1097343111,-0.1079993557,
|
|
|
|
|
-0.1062640713, -0.1045284633, -0.1027925368, -0.1010562972,-0.0993197497,
|
|
|
|
|
-0.0975828998, -0.0958457525, -0.0941083133, -0.0923705874,-0.0906325802,
|
|
|
|
|
-0.0888942969, -0.0871557427, -0.0854169231, -0.0836778433,-0.0819385086,
|
|
|
|
|
-0.0801989243, -0.0784590957, -0.0767190281, -0.0749787268,-0.0732381971,
|
|
|
|
|
-0.0714974443, -0.0697564737, -0.0680152907, -0.0662739004,-0.0645323083,
|
|
|
|
|
-0.0627905195, -0.0610485395, -0.0593063736, -0.0575640270,-0.0558215050,
|
|
|
|
|
-0.0540788130, -0.0523359562, -0.0505929401, -0.0488497698,-0.0471064507,
|
|
|
|
|
-0.0453629881, -0.0436193874, -0.0418756537, -0.0401317925,-0.0383878091,
|
|
|
|
|
-0.0366437087, -0.0348994967, -0.0331551784, -0.0314107591,-0.0296662441,
|
|
|
|
|
-0.0279216387, -0.0261769483, -0.0244321782, -0.0226873336,-0.0209424199,
|
|
|
|
|
-0.0191974424, -0.0174524064, -0.0157073173, -0.0139621803,-0.0122170008,
|
|
|
|
|
-0.0104717841, -0.0087265355, -0.0069812603, -0.0052359638,-0.0034906514,
|
2009-02-04 15:25:03 +00:00
|
|
|
-0.0017453284
|
|
|
|
|
};
|
|
|
|
|
|
2009-05-21 17:42:42 +00:00
|
|
|
double fcosinus[3600] =
|
2009-02-04 15:25:03 +00:00
|
|
|
{
|
2010-02-04 17:46:12 +00:00
|
|
|
1.0000000000, 0.9999984769, 0.9999939077, 0.9999862922,
|
|
|
|
|
0.9999756307, 0.9999619231, 0.9999451694, 0.9999253697, 0.9999025240,
|
|
|
|
|
0.9998766325, 0.9998476952, 0.9998157121, 0.9997806835, 0.9997426093,
|
|
|
|
|
0.9997014898, 0.9996573250, 0.9996101150, 0.9995598601, 0.9995065604,
|
|
|
|
|
0.9994502159, 0.9993908270, 0.9993283938, 0.9992629164, 0.9991943951,
|
|
|
|
|
0.9991228301, 0.9990482216, 0.9989705698, 0.9988898750, 0.9988061373,
|
|
|
|
|
0.9987193572, 0.9986295348, 0.9985366703, 0.9984407642, 0.9983418166,
|
|
|
|
|
0.9982398279, 0.9981347984, 0.9980267284, 0.9979156183, 0.9978014683,
|
|
|
|
|
0.9976842788, 0.9975640503, 0.9974407829, 0.9973144772, 0.9971851335,
|
|
|
|
|
0.9970527522, 0.9969173337, 0.9967788785, 0.9966373868, 0.9964928592,
|
|
|
|
|
0.9963452962, 0.9961946981, 0.9960410654, 0.9958843986, 0.9957246982,
|
|
|
|
|
0.9955619646, 0.9953961984, 0.9952274000, 0.9950555700, 0.9948807088,
|
|
|
|
|
0.9947028171, 0.9945218954, 0.9943379441, 0.9941509640, 0.9939609555,
|
|
|
|
|
0.9937679192, 0.9935718557, 0.9933727656, 0.9931706495, 0.9929655081,
|
|
|
|
|
0.9927573419, 0.9925461516, 0.9923319379, 0.9921147013, 0.9918944426,
|
|
|
|
|
0.9916711624, 0.9914448614, 0.9912155403, 0.9909831997, 0.9907478405,
|
|
|
|
|
0.9905094632, 0.9902680687, 0.9900236577, 0.9897762309, 0.9895257891,
|
|
|
|
|
0.9892723330, 0.9890158634, 0.9887563810, 0.9884938868, 0.9882283814,
|
|
|
|
|
0.9879598658, 0.9876883406, 0.9874138068, 0.9871362651, 0.9868557164,
|
|
|
|
|
0.9865721616, 0.9862856015, 0.9859960371, 0.9857034691, 0.9854078985,
|
|
|
|
|
0.9851093262, 0.9848077530, 0.9845031800, 0.9841956080, 0.9838850379,
|
|
|
|
|
0.9835714708, 0.9832549076, 0.9829353491, 0.9826127965, 0.9822872507,
|
|
|
|
|
0.9819587127, 0.9816271834, 0.9812926640, 0.9809551553, 0.9806146585,
|
|
|
|
|
0.9802711746, 0.9799247046, 0.9795752496, 0.9792228106, 0.9788673888,
|
|
|
|
|
0.9785089851, 0.9781476007, 0.9777832368, 0.9774158943, 0.9770455744,
|
|
|
|
|
0.9766722783, 0.9762960071, 0.9759167619, 0.9755345439, 0.9751493543,
|
|
|
|
|
0.9747611942, 0.9743700648, 0.9739759673, 0.9735789029, 0.9731788728,
|
|
|
|
|
0.9727758782, 0.9723699204, 0.9719610006, 0.9715491200, 0.9711342799,
|
|
|
|
|
0.9707164816, 0.9702957263, 0.9698720153, 0.9694453499, 0.9690157314,
|
|
|
|
|
0.9685831611, 0.9681476404, 0.9677091705, 0.9672677528, 0.9668233886,
|
|
|
|
|
0.9663760793, 0.9659258263, 0.9654726309, 0.9650164945, 0.9645574185,
|
|
|
|
|
0.9640954042, 0.9636304532, 0.9631625668, 0.9626917464, 0.9622179935,
|
|
|
|
|
0.9617413095, 0.9612616959, 0.9607791542, 0.9602936857, 0.9598052920,
|
|
|
|
|
0.9593139745, 0.9588197349, 0.9583225745, 0.9578224948, 0.9573194975,
|
|
|
|
|
0.9568135841, 0.9563047560, 0.9557930148, 0.9552783621, 0.9547607995,
|
|
|
|
|
0.9542403285, 0.9537169507, 0.9531906678, 0.9526614813, 0.9521293927,
|
|
|
|
|
0.9515944039, 0.9510565163, 0.9505157316, 0.9499720515, 0.9494254776,
|
|
|
|
|
0.9488760116, 0.9483236552, 0.9477684100, 0.9472102777, 0.9466492601,
|
|
|
|
|
0.9460853588, 0.9455185756, 0.9449489122, 0.9443763702, 0.9438009516,
|
|
|
|
|
0.9432226579, 0.9426414911, 0.9420574528, 0.9414705448, 0.9408807690,
|
|
|
|
|
0.9402881270, 0.9396926208, 0.9390942521, 0.9384930228, 0.9378889346,
|
|
|
|
|
0.9372819895, 0.9366721892, 0.9360595357, 0.9354440308, 0.9348256764,
|
|
|
|
|
0.9342044743, 0.9335804265, 0.9329535348, 0.9323238012, 0.9316912276,
|
|
|
|
|
0.9310558159, 0.9304175680, 0.9297764859, 0.9291325715, 0.9284858269,
|
|
|
|
|
0.9278362539, 0.9271838546, 0.9265286309, 0.9258705848, 0.9252097184,
|
|
|
|
|
0.9245460336, 0.9238795325, 0.9232102171, 0.9225380895, 0.9218631516,
|
|
|
|
|
0.9211854056, 0.9205048535, 0.9198214973, 0.9191353393, 0.9184463813,
|
|
|
|
|
0.9177546257, 0.9170600744, 0.9163627296, 0.9156625933, 0.9149596678,
|
|
|
|
|
0.9142539552, 0.9135454576, 0.9128341772, 0.9121201162, 0.9114032766,
|
|
|
|
|
0.9106836608, 0.9099612709, 0.9092361090, 0.9085081775, 0.9077774785,
|
|
|
|
|
0.9070440143, 0.9063077870, 0.9055687990, 0.9048270525, 0.9040825497,
|
|
|
|
|
0.9033352929, 0.9025852843, 0.9018325264, 0.9010770213, 0.9003187714,
|
|
|
|
|
0.8995577790, 0.8987940463, 0.8980275758, 0.8972583697, 0.8964864304,
|
|
|
|
|
0.8957117602, 0.8949343616, 0.8941542368, 0.8933713883, 0.8925858185,
|
|
|
|
|
0.8917975296, 0.8910065242, 0.8902128046, 0.8894163733, 0.8886172327,
|
|
|
|
|
0.8878153851, 0.8870108332, 0.8862035792, 0.8853936258, 0.8845809752,
|
|
|
|
|
0.8837656301, 0.8829475929, 0.8821268660, 0.8813034521, 0.8804773535,
|
|
|
|
|
0.8796485729, 0.8788171127, 0.8779829754, 0.8771461637, 0.8763066800,
|
|
|
|
|
0.8754645270, 0.8746197071, 0.8737722230, 0.8729220773, 0.8720692724,
|
|
|
|
|
0.8712138111, 0.8703556959, 0.8694949295, 0.8686315144, 0.8677654534,
|
|
|
|
|
0.8668967489, 0.8660254038, 0.8651514206, 0.8642748020, 0.8633955506,
|
|
|
|
|
0.8625136692, 0.8616291604, 0.8607420270, 0.8598522716, 0.8589598969,
|
|
|
|
|
0.8580649057, 0.8571673007, 0.8562670846, 0.8553642602, 0.8544588301,
|
|
|
|
|
0.8535507973, 0.8526401644, 0.8517269341, 0.8508111094, 0.8498926930,
|
|
|
|
|
0.8489716876, 0.8480480962, 0.8471219214, 0.8461931661, 0.8452618332,
|
|
|
|
|
0.8443279255, 0.8433914458, 0.8424523970, 0.8415107819, 0.8405666035,
|
|
|
|
|
0.8396198645, 0.8386705679, 0.8377187166, 0.8367643135, 0.8358073614,
|
|
|
|
|
0.8348478633, 0.8338858221, 0.8329212407, 0.8319541221, 0.8309844693,
|
|
|
|
|
0.8300122851, 0.8290375726, 0.8280603346, 0.8270805743, 0.8260982945,
|
|
|
|
|
0.8251134983, 0.8241261886, 0.8231363685, 0.8221440410, 0.8211492091,
|
|
|
|
|
0.8201518759, 0.8191520443, 0.8181497174, 0.8171448983, 0.8161375901,
|
|
|
|
|
0.8151277957, 0.8141155184, 0.8131007610, 0.8120835269, 0.8110638190,
|
|
|
|
|
0.8100416404, 0.8090169944, 0.8079898839, 0.8069603121, 0.8059282822,
|
|
|
|
|
0.8048937974, 0.8038568606, 0.8028174752, 0.8017756442, 0.8007313709,
|
|
|
|
|
0.7996846585, 0.7986355100, 0.7975839288, 0.7965299180, 0.7954734809,
|
|
|
|
|
0.7944146205, 0.7933533403, 0.7922896434, 0.7912235330, 0.7901550124,
|
|
|
|
|
0.7890840848, 0.7880107536, 0.7869350220, 0.7858568932, 0.7847763705,
|
|
|
|
|
0.7836934573, 0.7826081569, 0.7815204724, 0.7804304073, 0.7793379649,
|
|
|
|
|
0.7782431485, 0.7771459615, 0.7760464071, 0.7749444887, 0.7738402097,
|
|
|
|
|
0.7727335735, 0.7716245834, 0.7705132428, 0.7693995550, 0.7682835236,
|
|
|
|
|
0.7671651518, 0.7660444431, 0.7649214009, 0.7637960286, 0.7626683297,
|
|
|
|
|
0.7615383075, 0.7604059656, 0.7592713073, 0.7581343362, 0.7569950557,
|
|
|
|
|
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0.8862035792, 0.8870108332, 0.8878153851, 0.8886172327, 0.8894163733,
|
|
|
|
|
0.8902128046, 0.8910065242, 0.8917975296, 0.8925858185, 0.8933713883,
|
|
|
|
|
0.8941542368, 0.8949343616, 0.8957117602, 0.8964864304, 0.8972583697,
|
|
|
|
|
0.8980275758, 0.8987940463, 0.8995577790, 0.9003187714, 0.9010770213,
|
|
|
|
|
0.9018325264, 0.9025852843, 0.9033352929, 0.9040825497, 0.9048270525,
|
|
|
|
|
0.9055687990, 0.9063077870, 0.9070440143, 0.9077774785, 0.9085081775,
|
|
|
|
|
0.9092361090, 0.9099612709, 0.9106836608, 0.9114032766, 0.9121201162,
|
|
|
|
|
0.9128341772, 0.9135454576, 0.9142539552, 0.9149596678, 0.9156625933,
|
|
|
|
|
0.9163627296, 0.9170600744, 0.9177546257, 0.9184463813, 0.9191353393,
|
|
|
|
|
0.9198214973, 0.9205048535, 0.9211854056, 0.9218631516, 0.9225380895,
|
|
|
|
|
0.9232102171, 0.9238795325, 0.9245460336, 0.9252097184, 0.9258705848,
|
|
|
|
|
0.9265286309, 0.9271838546, 0.9278362539, 0.9284858269, 0.9291325715,
|
|
|
|
|
0.9297764859, 0.9304175680, 0.9310558159, 0.9316912276, 0.9323238012,
|
|
|
|
|
0.9329535348, 0.9335804265, 0.9342044743, 0.9348256764, 0.9354440308,
|
|
|
|
|
0.9360595357, 0.9366721892, 0.9372819895, 0.9378889346, 0.9384930228,
|
|
|
|
|
0.9390942521, 0.9396926208, 0.9402881270, 0.9408807690, 0.9414705448,
|
|
|
|
|
0.9420574528, 0.9426414911, 0.9432226579, 0.9438009516, 0.9443763702,
|
|
|
|
|
0.9449489122, 0.9455185756, 0.9460853588, 0.9466492601, 0.9472102777,
|
|
|
|
|
0.9477684100, 0.9483236552, 0.9488760116, 0.9494254776, 0.9499720515,
|
|
|
|
|
0.9505157316, 0.9510565163, 0.9515944039, 0.9521293927, 0.9526614813,
|
|
|
|
|
0.9531906678, 0.9537169507, 0.9542403285, 0.9547607995, 0.9552783621,
|
|
|
|
|
0.9557930148, 0.9563047560, 0.9568135841, 0.9573194975, 0.9578224948,
|
|
|
|
|
0.9583225745, 0.9588197349, 0.9593139745, 0.9598052920, 0.9602936857,
|
|
|
|
|
0.9607791542, 0.9612616959, 0.9617413095, 0.9622179935, 0.9626917464,
|
|
|
|
|
0.9631625668, 0.9636304532, 0.9640954042, 0.9645574185, 0.9650164945,
|
|
|
|
|
0.9654726309, 0.9659258263, 0.9663760793, 0.9668233886, 0.9672677528,
|
|
|
|
|
0.9677091705, 0.9681476404, 0.9685831611, 0.9690157314, 0.9694453499,
|
|
|
|
|
0.9698720153, 0.9702957263, 0.9707164816, 0.9711342799, 0.9715491200,
|
|
|
|
|
0.9719610006, 0.9723699204, 0.9727758782, 0.9731788728, 0.9735789029,
|
|
|
|
|
0.9739759673, 0.9743700648, 0.9747611942, 0.9751493543, 0.9755345439,
|
|
|
|
|
0.9759167619, 0.9762960071, 0.9766722783, 0.9770455744, 0.9774158943,
|
|
|
|
|
0.9777832368, 0.9781476007, 0.9785089851, 0.9788673888, 0.9792228106,
|
|
|
|
|
0.9795752496, 0.9799247046, 0.9802711746, 0.9806146585, 0.9809551553,
|
|
|
|
|
0.9812926640, 0.9816271834, 0.9819587127, 0.9822872507, 0.9826127965,
|
|
|
|
|
0.9829353491, 0.9832549076, 0.9835714708, 0.9838850379, 0.9841956080,
|
|
|
|
|
0.9845031800, 0.9848077530, 0.9851093262, 0.9854078985, 0.9857034691,
|
|
|
|
|
0.9859960371, 0.9862856015, 0.9865721616, 0.9868557164, 0.9871362651,
|
|
|
|
|
0.9874138068, 0.9876883406, 0.9879598658, 0.9882283814, 0.9884938868,
|
|
|
|
|
0.9887563810, 0.9890158634, 0.9892723330, 0.9895257891, 0.9897762309,
|
|
|
|
|
0.9900236577, 0.9902680687, 0.9905094632, 0.9907478405, 0.9909831997,
|
|
|
|
|
0.9912155403, 0.9914448614, 0.9916711624, 0.9918944426, 0.9921147013,
|
|
|
|
|
0.9923319379, 0.9925461516, 0.9927573419, 0.9929655081, 0.9931706495,
|
|
|
|
|
0.9933727656, 0.9935718557, 0.9937679192, 0.9939609555, 0.9941509640,
|
|
|
|
|
0.9943379441, 0.9945218954, 0.9947028171, 0.9948807088, 0.9950555700,
|
|
|
|
|
0.9952274000, 0.9953961984, 0.9955619646, 0.9957246982, 0.9958843986,
|
|
|
|
|
0.9960410654, 0.9961946981, 0.9963452962, 0.9964928592, 0.9966373868,
|
|
|
|
|
0.9967788785, 0.9969173337, 0.9970527522, 0.9971851335, 0.9973144772,
|
|
|
|
|
0.9974407829, 0.9975640503, 0.9976842788, 0.9978014683, 0.9979156183,
|
|
|
|
|
0.9980267284, 0.9981347984, 0.9982398279, 0.9983418166, 0.9984407642,
|
|
|
|
|
0.9985366703, 0.9986295348, 0.9987193572, 0.9988061373, 0.9988898750,
|
|
|
|
|
0.9989705698, 0.9990482216, 0.9991228301, 0.9991943951, 0.9992629164,
|
|
|
|
|
0.9993283938, 0.9993908270, 0.9994502159, 0.9995065604, 0.9995598601,
|
|
|
|
|
0.9996101150, 0.9996573250, 0.9997014898, 0.9997426093, 0.9997806835,
|
|
|
|
|
0.9998157121, 0.9998476952, 0.9998766325, 0.9999025240, 0.9999253697,
|
|
|
|
|
0.9999451694, 0.9999619231, 0.9999756307, 0.9999862922, 0.9999939077,
|
2009-02-04 15:25:03 +00:00
|
|
|
0.9999984769
|
|
|
|
|
};
|
