1884 lines
120 KiB
C++
1884 lines
120 KiB
C++
/****************************/
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/* Trigonometric functions. */
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/****************************/
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#include "fctsys.h"
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#include "trigo.h"
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/**
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* Function TestSegmentHit
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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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/**
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* Function DistanceTest
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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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*/
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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 ) )
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<= ( 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 ) )
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<= ( 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 ) )
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<= ( 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,
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(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 ) )
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<= ( 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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/* 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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*/
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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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/*
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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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*/
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void RotatePoint( int* pX, int* pY, int angle )
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{
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double fpx, fpy;
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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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if( angle == 0 )
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return;
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/* coord: xrot = y*sin + x*cos
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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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fpx = ( *pY * fsinus[angle] ) + ( *pX * fcosinus[angle] );
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fpy = ( *pY * fcosinus[angle] ) - ( *pX * fsinus[angle] );
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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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/*
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* Calculate the new point of coord coord pX, pY,
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* for a rotation center cx, cy, and angle in (1 / 10 degree)
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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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/*
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* Calculates the new coord point point
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* for a rotation angle in (1 / 10 degree)
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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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/*
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* Calculates the new coord point point
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* for a center rotation center and angle in (1 / 10 degree)
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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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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 fpx = (*pY * fsinus[angle]) + (*pX * fcosinus[angle]);
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double fpy = (*pY * fcosinus[angle]) - (*pX * fsinus[angle]);
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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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double fsinus[3600] =
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{
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0.0000000000, 0.0017453284, 0.0034906514, 0.0052359638,
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0.0069812603, 0.0087265355, 0.0104717841, 0.0122170008, 0.0139621803,
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0.0157073173, 0.0174524064, 0.0191974424, 0.0209424199, 0.0226873336,
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0.0244321782, 0.0261769483, 0.0279216387, 0.0296662441, 0.0314107591,
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0.0331551784, 0.0348994967, 0.0366437087, 0.0383878091, 0.0401317925,
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0.0418756537, 0.0436193874, 0.0453629881, 0.0471064507, 0.0488497698,
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0.0505929401, 0.0523359562, 0.0540788130, 0.0558215050, 0.0575640270,
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0.0593063736, 0.0610485395, 0.0627905195, 0.0645323083, 0.0662739004,
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0.0680152907, 0.0697564737, 0.0714974443, 0.0732381971, 0.0749787268,
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0.0767190281, 0.0784590957, 0.0801989243, 0.0819385086, 0.0836778433,
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0.0854169231, 0.0871557427, 0.0888942969, 0.0906325802, 0.0923705874,
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0.0941083133, 0.0958457525, 0.0975828998, 0.0993197497, 0.1010562972,
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0.1027925368, 0.1045284633, 0.1062640713, 0.1079993557, 0.1097343111,
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0.1114689322, 0.1132032138, 0.1149371505, 0.1166707371, 0.1184039683,
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0.1201368388, 0.1218693434, 0.1236014767, 0.1253332336, 0.1270646086,
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0.1287955966, 0.1305261922, 0.1322563903, 0.1339861854, 0.1357155724,
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0.1374445460, 0.1391731010, 0.1409012319, 0.1426289337, 0.1443562010,
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0.1460830286, 0.1478094111, 0.1495353434, 0.1512608202, 0.1529858363,
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0.1547103863, 0.1564344650, 0.1581580673, 0.1598811877, 0.1616038211,
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0.1633259622, 0.1650476059, 0.1667687467, 0.1684893796, 0.1702094992,
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0.1719291003, 0.1736481777, 0.1753667261, 0.1770847403, 0.1788022151,
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0.1805191453, 0.1822355255, 0.1839513506, 0.1856666154, 0.1873813146,
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0.1890954430, 0.1908089954, 0.1925219665, 0.1942343512, 0.1959461442,
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0.1976573404, 0.1993679344, 0.2010779211, 0.2027872954, 0.2044960518,
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0.2062041854, 0.2079116908, 0.2096185629, 0.2113247965, 0.2130303863,
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0.2147353272, 0.2164396139, 0.2181432414, 0.2198462044, 0.2215484976,
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0.2232501160, 0.2249510543, 0.2266513074, 0.2283508701, 0.2300497372,
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0.2317479035, 0.2334453639, 0.2351421131, 0.2368381461, 0.2385334576,
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0.2402280425, 0.2419218956, 0.2436150118, 0.2453073859, 0.2469990127,
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0.2486898872, 0.2503800041, 0.2520693582, 0.2537579446, 0.2554457579,
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0.2571327932, 0.2588190451, 0.2605045086, 0.2621891786, 0.2638730500,
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0.2655561175, 0.2672383761, 0.2689198206, 0.2706004460, 0.2722802470,
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0.2739592187, 0.2756373558, 0.2773146533, 0.2789911060, 0.2806667089,
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0.2823414568, 0.2840153447, 0.2856883674, 0.2873605198, 0.2890317969,
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0.2907021936, 0.2923717047, 0.2940403252, 0.2957080500, 0.2973748741,
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0.2990407923, 0.3007057995, 0.3023698908, 0.3040330609, 0.3056953050,
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0.3073566178, 0.3090169944, 0.3106764296, 0.3123349185, 0.3139924560,
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0.3156490369, 0.3173046564, 0.3189593093, 0.3206129906, 0.3222656952,
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0.3239174182, 0.3255681545, 0.3272178990, 0.3288666467, 0.3305143927,
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0.3321611319, 0.3338068592, 0.3354515698, 0.3370952584, 0.3387379202,
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0.3403795502, 0.3420201433, 0.3436596946, 0.3452981990, 0.3469356516,
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0.3485720473, 0.3502073813, 0.3518416484, 0.3534748438, 0.3551069624,
|
|
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-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,
|
|
-0.7558534692, -0.7547095802, -0.7535633923, -0.7524149089,-0.7512641335,
|
|
-0.7501110696, -0.7489557208, -0.7477980905, -0.7466381823,-0.7454759997,
|
|
-0.7443115462, -0.7431448255, -0.7419758410, -0.7408045963,-0.7396310950,
|
|
-0.7384553406, -0.7372773368, -0.7360970871, -0.7349145951,-0.7337298645,
|
|
-0.7325428988, -0.7313537016, -0.7301622766, -0.7289686274,-0.7277727577,
|
|
-0.7265746710, -0.7253743710, -0.7241718614, -0.7229671459,-0.7217602281,
|
|
-0.7205511117, -0.7193398003, -0.7181262978, -0.7169106077,-0.7156927337,
|
|
-0.7144726796, -0.7132504492, -0.7120260460, -0.7107994739,-0.7095707365,
|
|
-0.7083398377, -0.7071067812, -0.7058715707, -0.7046342100,-0.7033947028,
|
|
-0.7021530530, -0.7009092643, -0.6996633405, -0.6984152854,-0.6971651029,
|
|
-0.6959127966, -0.6946583705, -0.6934018283, -0.6921431739,-0.6908824111,
|
|
-0.6896195437, -0.6883545757, -0.6870875108, -0.6858183529,-0.6845471059,
|
|
-0.6832737737, -0.6819983601, -0.6807208690, -0.6794413043,-0.6781596699,
|
|
-0.6768759697, -0.6755902076, -0.6743023876, -0.6730125135,-0.6717205893,
|
|
-0.6704266190, -0.6691306064, -0.6678325555, -0.6665324702,-0.6652303547,
|
|
-0.6639262127, -0.6626200482, -0.6613118653, -0.6600016680,-0.6586894601,
|
|
-0.6573752458, -0.6560590290, -0.6547408137, -0.6534206040,-0.6520984038,
|
|
-0.6507742173, -0.6494480483, -0.6481199011, -0.6467897795,-0.6454576877,
|
|
-0.6441236298, -0.6427876097, -0.6414496316, -0.6401096995,-0.6387678175,
|
|
-0.6374239897, -0.6360782203, -0.6347305132, -0.6333808726,-0.6320293027,
|
|
-0.6306758074, -0.6293203910, -0.6279630576, -0.6266038114,-0.6252426563,
|
|
-0.6238795967, -0.6225146366, -0.6211477803, -0.6197790318,-0.6184083954,
|
|
-0.6170358751, -0.6156614753, -0.6142852001, -0.6129070537,-0.6115270402,
|
|
-0.6101451639, -0.6087614290, -0.6073758397, -0.6059884003,-0.6045991149,
|
|
-0.6032079877, -0.6018150232, -0.6004202253, -0.5990235985,-0.5976251470,
|
|
-0.5962248750, -0.5948227868, -0.5934188866, -0.5920131788,-0.5906056676,
|
|
-0.5891963574, -0.5877852523, -0.5863723567, -0.5849576750,-0.5835412114,
|
|
-0.5821229702, -0.5807029557, -0.5792811723, -0.5778576244,-0.5764323162,
|
|
-0.5750052520, -0.5735764364, -0.5721458734, -0.5707135677,-0.5692795234,
|
|
-0.5678437451, -0.5664062369, -0.5649670034, -0.5635260489,-0.5620833779,
|
|
-0.5606389946, -0.5591929035, -0.5577451090, -0.5562956155,-0.5548444274,
|
|
-0.5533915492, -0.5519369853, -0.5504807401, -0.5490228180,-0.5475632235,
|
|
-0.5461019610, -0.5446390350, -0.5431744500, -0.5417082103,-0.5402403205,
|
|
-0.5387707850, -0.5372996083, -0.5358267950, -0.5343523494,-0.5328762761,
|
|
-0.5313985795, -0.5299192642, -0.5284383347, -0.5269557955,-0.5254716511,
|
|
-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,
|
|
-0.0017453284
|
|
};
|
|
|
|
double fcosinus[3600] =
|
|
{
|
|
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,
|
|
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0.9999451694, 0.9999619231, 0.9999756307, 0.9999862922, 0.9999939077,
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0.9999984769
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};
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