mirror of
https://github.com/raysan5/raylib.git
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ADDED: GetSplinePoint*() functions for spline evaluation
RENAMED: `DrawLine<spline_type>()` to `DrawSpline<spline_type>()` for more consistent and clear naming REVIEWED: Bezier drawing parameters order, more consistent REVIEWED: Spline-based examples -WIP-
This commit is contained in:
Ray
637
src/rshapes.c
637
src/rshapes.c
@@ -161,7 +161,7 @@ void DrawPixelV(Vector2 position, Color color)
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#endif
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}
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// Draw a line
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// Draw a line (using gl lines)
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void DrawLine(int startPosX, int startPosY, int endPosX, int endPosY, Color color)
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{
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rlBegin(RL_LINES);
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@@ -171,7 +171,7 @@ void DrawLine(int startPosX, int startPosY, int endPosX, int endPosY, Color colo
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rlEnd();
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}
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// Draw a line (Vector version)
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// Draw a line (using gl lines)
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void DrawLineV(Vector2 startPos, Vector2 endPos, Color color)
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{
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rlBegin(RL_LINES);
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@@ -181,29 +181,24 @@ void DrawLineV(Vector2 startPos, Vector2 endPos, Color color)
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rlEnd();
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}
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// Draw a line defining thickness
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void DrawLineEx(Vector2 startPos, Vector2 endPos, float thick, Color color)
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// Draw lines sequuence (using gl lines)
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void DrawLineStrip(Vector2 *points, int pointCount, Color color)
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{
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Vector2 delta = { endPos.x - startPos.x, endPos.y - startPos.y };
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float length = sqrtf(delta.x*delta.x + delta.y*delta.y);
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if ((length > 0) && (thick > 0))
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if (pointCount >= 2)
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{
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float scale = thick/(2*length);
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rlBegin(RL_LINES);
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rlColor4ub(color.r, color.g, color.b, color.a);
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Vector2 radius = { -scale*delta.y, scale*delta.x };
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Vector2 strip[4] = {
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{ startPos.x - radius.x, startPos.y - radius.y },
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{ startPos.x + radius.x, startPos.y + radius.y },
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{ endPos.x - radius.x, endPos.y - radius.y },
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{ endPos.x + radius.x, endPos.y + radius.y }
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};
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DrawTriangleStrip(strip, 4, color);
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for (int i = 0; i < pointCount - 1; i++)
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{
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rlVertex2f(points[i].x, points[i].y);
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rlVertex2f(points[i + 1].x, points[i + 1].y);
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}
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rlEnd();
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}
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}
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// Draw line using cubic-bezier curves in-out
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// Draw line using cubic-bezier spline, in-out interpolation, no control points
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void DrawLineBezier(Vector2 startPos, Vector2 endPos, float thick, Color color)
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{
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Vector2 previous = startPos;
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@@ -241,254 +236,25 @@ void DrawLineBezier(Vector2 startPos, Vector2 endPos, float thick, Color color)
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DrawTriangleStrip(points, 2*SPLINE_LINE_DIVISIONS + 2, color);
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}
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// Draw line using quadratic bezier curves with a control point
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void DrawLineBezierQuad(Vector2 startPos, Vector2 endPos, Vector2 controlPos, float thick, Color color)
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// Draw a line defining thickness
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void DrawLineEx(Vector2 startPos, Vector2 endPos, float thick, Color color)
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{
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const float step = 1.0f/SPLINE_LINE_DIVISIONS;
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Vector2 delta = { endPos.x - startPos.x, endPos.y - startPos.y };
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float length = sqrtf(delta.x*delta.x + delta.y*delta.y);
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Vector2 previous = startPos;
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Vector2 current = { 0 };
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float t = 0.0f;
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Vector2 points[2*SPLINE_LINE_DIVISIONS + 2] = { 0 };
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for (int i = 1; i <= SPLINE_LINE_DIVISIONS; i++)
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if ((length > 0) && (thick > 0))
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{
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t = step*i;
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float scale = thick/(2*length);
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float a = powf(1.0f - t, 2);
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float b = 2.0f*(1.0f - t)*t;
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float c = powf(t, 2);
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Vector2 radius = { -scale*delta.y, scale*delta.x };
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Vector2 strip[4] = {
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{ startPos.x - radius.x, startPos.y - radius.y },
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{ startPos.x + radius.x, startPos.y + radius.y },
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{ endPos.x - radius.x, endPos.y - radius.y },
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{ endPos.x + radius.x, endPos.y + radius.y }
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};
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// NOTE: The easing functions aren't suitable here because they don't take a control point
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current.y = a*startPos.y + b*controlPos.y + c*endPos.y;
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current.x = a*startPos.x + b*controlPos.x + c*endPos.x;
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float dy = current.y - previous.y;
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float dx = current.x - previous.x;
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float size = 0.5f*thick/sqrtf(dx*dx+dy*dy);
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if (i == 1)
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{
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points[0].x = previous.x + dy*size;
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points[0].y = previous.y - dx*size;
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points[1].x = previous.x - dy*size;
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points[1].y = previous.y + dx*size;
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}
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points[2*i + 1].x = current.x - dy*size;
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points[2*i + 1].y = current.y + dx*size;
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points[2*i].x = current.x + dy*size;
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points[2*i].y = current.y - dx*size;
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previous = current;
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}
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DrawTriangleStrip(points, 2*SPLINE_LINE_DIVISIONS + 2, color);
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}
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// Draw line using cubic bezier curves with 2 control points
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void DrawLineBezierCubic(Vector2 startPos, Vector2 endPos, Vector2 startControlPos, Vector2 endControlPos, float thick, Color color)
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{
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const float step = 1.0f/SPLINE_LINE_DIVISIONS;
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Vector2 previous = startPos;
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Vector2 current = { 0 };
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float t = 0.0f;
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Vector2 points[2*SPLINE_LINE_DIVISIONS + 2] = { 0 };
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for (int i = 1; i <= SPLINE_LINE_DIVISIONS; i++)
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{
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t = step*i;
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float a = powf(1.0f - t, 3);
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float b = 3.0f*powf(1.0f - t, 2)*t;
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float c = 3.0f*(1.0f - t)*powf(t, 2);
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float d = powf(t, 3);
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current.y = a*startPos.y + b*startControlPos.y + c*endControlPos.y + d*endPos.y;
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current.x = a*startPos.x + b*startControlPos.x + c*endControlPos.x + d*endPos.x;
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float dy = current.y - previous.y;
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float dx = current.x - previous.x;
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float size = 0.5f*thick/sqrtf(dx*dx+dy*dy);
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if (i == 1)
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{
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points[0].x = previous.x + dy*size;
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points[0].y = previous.y - dx*size;
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points[1].x = previous.x - dy*size;
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points[1].y = previous.y + dx*size;
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}
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points[2*i + 1].x = current.x - dy*size;
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points[2*i + 1].y = current.y + dx*size;
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points[2*i].x = current.x + dy*size;
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points[2*i].y = current.y - dx*size;
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previous = current;
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}
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DrawTriangleStrip(points, 2*SPLINE_LINE_DIVISIONS + 2, color);
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}
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// Draw a B-Spline line, minimum 4 points
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void DrawLineBSpline(Vector2 *points, int pointCount, float thick, Color color)
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{
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if (pointCount < 4) return;
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float a[4] = { 0 };
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float b[4] = { 0 };
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float dy = 0.0f;
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float dx = 0.0f;
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float size = 0.0f;
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Vector2 currentPoint = { 0 };
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Vector2 nextPoint = { 0 };
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Vector2 vertices[2*SPLINE_LINE_DIVISIONS + 2] = { 0 };
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for (int i = 0; i < (pointCount - 3); i++)
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{
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float t = 0.0f;
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Vector2 p1 = points[i], p2 = points[i + 1], p3 = points[i + 2], p4 = points[i + 3];
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a[0] = (-p1.x + 3.0f*p2.x - 3.0f*p3.x + p4.x)/6.0f;
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a[1] = (3.0f*p1.x - 6.0f*p2.x + 3.0f*p3.x)/6.0f;
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a[2] = (-3.0f*p1.x + 3.0f*p3.x)/6.0f;
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a[3] = (p1.x + 4.0f*p2.x + p3.x)/6.0f;
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b[0] = (-p1.y + 3.0f*p2.y - 3.0f*p3.y + p4.y)/6.0f;
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b[1] = (3.0f*p1.y - 6.0f*p2.y + 3.0f*p3.y)/6.0f;
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b[2] = (-3.0f*p1.y + 3.0f*p3.y)/6.0f;
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b[3] = (p1.y + 4.0f*p2.y + p3.y)/6.0f;
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currentPoint.x = a[3];
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currentPoint.y = b[3];
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if (i == 0) DrawCircleV(currentPoint, thick/2.0f, color); // Draw init line circle-cap
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if (i > 0)
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{
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vertices[0].x = currentPoint.x + dy*size;
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vertices[0].y = currentPoint.y - dx*size;
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vertices[1].x = currentPoint.x - dy*size;
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vertices[1].y = currentPoint.y + dx*size;
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}
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for (int j = 1; j <= SPLINE_LINE_DIVISIONS; j++)
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{
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t = ((float)j)/((float)SPLINE_LINE_DIVISIONS);
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nextPoint.x = a[3] + t*(a[2] + t*(a[1] + t*a[0]));
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nextPoint.y = b[3] + t*(b[2] + t*(b[1] + t*b[0]));
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dy = nextPoint.y - currentPoint.y;
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dx = nextPoint.x - currentPoint.x;
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size = 0.5f*thick/sqrtf(dx*dx+dy*dy);
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if ((i == 0) && (j == 1))
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{
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vertices[0].x = currentPoint.x + dy*size;
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vertices[0].y = currentPoint.y - dx*size;
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vertices[1].x = currentPoint.x - dy*size;
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vertices[1].y = currentPoint.y + dx*size;
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}
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vertices[2*j + 1].x = nextPoint.x - dy*size;
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vertices[2*j + 1].y = nextPoint.y + dx*size;
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vertices[2*j].x = nextPoint.x + dy*size;
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vertices[2*j].y = nextPoint.y - dx*size;
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currentPoint = nextPoint;
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}
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DrawTriangleStrip(vertices, 2*SPLINE_LINE_DIVISIONS + 2, color);
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}
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DrawCircleV(currentPoint, thick/2.0f, color); // Draw end line circle-cap
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}
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// Draw a Catmull Rom spline line, minimum 4 points
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void DrawLineCatmullRom(Vector2 *points, int pointCount, float thick, Color color)
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{
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if (pointCount < 4) return;
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float dy = 0.0f;
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float dx = 0.0f;
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float size = 0.0f;
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Vector2 currentPoint = points[1];
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Vector2 nextPoint = { 0 };
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Vector2 vertices[2*SPLINE_LINE_DIVISIONS + 2] = { 0 };
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DrawCircleV(currentPoint, thick/2.0f, color); // Draw init line circle-cap
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for (int i = 0; i < (pointCount - 3); i++)
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{
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float t = 0.0f;
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Vector2 p1 = points[i], p2 = points[i + 1], p3 = points[i + 2], p4 = points[i + 3];
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if (i > 0)
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{
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vertices[0].x = currentPoint.x + dy*size;
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vertices[0].y = currentPoint.y - dx*size;
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vertices[1].x = currentPoint.x - dy*size;
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vertices[1].y = currentPoint.y + dx*size;
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}
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for (int j = 1; j <= SPLINE_LINE_DIVISIONS; j++)
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{
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t = ((float)j)/((float)SPLINE_LINE_DIVISIONS);
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float q0 = (-1.0f*t*t*t) + (2.0f*t*t) + (-1.0f*t);
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float q1 = (3.0f*t*t*t) + (-5.0f*t*t) + 2.0f;
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float q2 = (-3.0f*t*t*t) + (4.0f*t*t) + t;
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float q3 = t*t*t - t*t;
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nextPoint.x = 0.5f*((p1.x*q0) + (p2.x*q1) + (p3.x*q2) + (p4.x*q3));
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nextPoint.y = 0.5f*((p1.y*q0) + (p2.y*q1) + (p3.y*q2) + (p4.y*q3));
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dy = nextPoint.y - currentPoint.y;
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dx = nextPoint.x - currentPoint.x;
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size = (0.5f*thick)/sqrtf(dx*dx + dy*dy);
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if ((i == 0) && (j == 1))
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{
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vertices[0].x = currentPoint.x + dy*size;
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vertices[0].y = currentPoint.y - dx*size;
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vertices[1].x = currentPoint.x - dy*size;
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vertices[1].y = currentPoint.y + dx*size;
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}
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vertices[2*j + 1].x = nextPoint.x - dy*size;
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vertices[2*j + 1].y = nextPoint.y + dx*size;
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vertices[2*j].x = nextPoint.x + dy*size;
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vertices[2*j].y = nextPoint.y - dx*size;
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currentPoint = nextPoint;
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}
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DrawTriangleStrip(vertices, 2*SPLINE_LINE_DIVISIONS + 2, color);
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}
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DrawCircleV(currentPoint, thick/2.0f, color); // Draw end line circle-cap
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}
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// Draw lines sequence
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void DrawLineStrip(Vector2 *points, int pointCount, Color color)
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{
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if (pointCount >= 2)
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{
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rlBegin(RL_LINES);
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rlColor4ub(color.r, color.g, color.b, color.a);
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for (int i = 0; i < pointCount - 1; i++)
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{
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rlVertex2f(points[i].x, points[i].y);
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rlVertex2f(points[i + 1].x, points[i + 1].y);
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}
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rlEnd();
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DrawTriangleStrip(strip, 4, color);
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}
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}
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@@ -1773,6 +1539,353 @@ void DrawPolyLinesEx(Vector2 center, int sides, float radius, float rotation, fl
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#endif
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}
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//----------------------------------------------------------------------------------
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// Module Functions Definition - Splines functions
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//----------------------------------------------------------------------------------
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// Draw spline: linear, minimum 2 points
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void DrawSplineLinear(Vector2 *points, int pointCount, float thick, Color color)
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{
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Vector2 delta = { 0 };
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float length = 0.0f;
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float scale = 0.0f;
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for (int i = 0; i < pointCount - 1; i++)
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{
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delta = (Vector2){ points[i + 1].x - points[i].x, points[i + 1].y - points[i].y };
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length = sqrtf(delta.x*delta.x + delta.y*delta.y);
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if (length > 0) scale = thick/(2*length);
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Vector2 radius = { -scale*delta.y, scale*delta.x };
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Vector2 strip[4] = {
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{ points[i].x - radius.x, points[i].y - radius.y },
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{ points[i].x + radius.x, points[i].y + radius.y },
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{ points[i + 1].x - radius.x, points[i + 1].y - radius.y },
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{ points[i + 1].x + radius.x, points[i + 1].y + radius.y }
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};
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DrawTriangleStrip(strip, 4, color);
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}
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}
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// Draw spline: B-Spline, minimum 4 points
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void DrawSplineBasis(Vector2 *points, int pointCount, float thick, Color color)
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{
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if (pointCount < 4) return;
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float a[4] = { 0 };
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float b[4] = { 0 };
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float dy = 0.0f;
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float dx = 0.0f;
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float size = 0.0f;
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Vector2 currentPoint = { 0 };
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Vector2 nextPoint = { 0 };
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Vector2 vertices[2*SPLINE_LINE_DIVISIONS + 2] = { 0 };
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for (int i = 0; i < (pointCount - 3); i++)
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{
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float t = 0.0f;
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Vector2 p1 = points[i], p2 = points[i + 1], p3 = points[i + 2], p4 = points[i + 3];
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a[0] = (-p1.x + 3.0f*p2.x - 3.0f*p3.x + p4.x)/6.0f;
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a[1] = (3.0f*p1.x - 6.0f*p2.x + 3.0f*p3.x)/6.0f;
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a[2] = (-3.0f*p1.x + 3.0f*p3.x)/6.0f;
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a[3] = (p1.x + 4.0f*p2.x + p3.x)/6.0f;
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b[0] = (-p1.y + 3.0f*p2.y - 3.0f*p3.y + p4.y)/6.0f;
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b[1] = (3.0f*p1.y - 6.0f*p2.y + 3.0f*p3.y)/6.0f;
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b[2] = (-3.0f*p1.y + 3.0f*p3.y)/6.0f;
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b[3] = (p1.y + 4.0f*p2.y + p3.y)/6.0f;
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currentPoint.x = a[3];
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currentPoint.y = b[3];
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if (i == 0) DrawCircleV(currentPoint, thick/2.0f, color); // Draw init line circle-cap
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if (i > 0)
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{
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vertices[0].x = currentPoint.x + dy*size;
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vertices[0].y = currentPoint.y - dx*size;
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vertices[1].x = currentPoint.x - dy*size;
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vertices[1].y = currentPoint.y + dx*size;
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}
|
||||
|
||||
for (int j = 1; j <= SPLINE_LINE_DIVISIONS; j++)
|
||||
{
|
||||
t = ((float)j)/((float)SPLINE_LINE_DIVISIONS);
|
||||
|
||||
nextPoint.x = a[3] + t*(a[2] + t*(a[1] + t*a[0]));
|
||||
nextPoint.y = b[3] + t*(b[2] + t*(b[1] + t*b[0]));
|
||||
|
||||
dy = nextPoint.y - currentPoint.y;
|
||||
dx = nextPoint.x - currentPoint.x;
|
||||
size = 0.5f*thick/sqrtf(dx*dx+dy*dy);
|
||||
|
||||
if ((i == 0) && (j == 1))
|
||||
{
|
||||
vertices[0].x = currentPoint.x + dy*size;
|
||||
vertices[0].y = currentPoint.y - dx*size;
|
||||
vertices[1].x = currentPoint.x - dy*size;
|
||||
vertices[1].y = currentPoint.y + dx*size;
|
||||
}
|
||||
|
||||
vertices[2*j + 1].x = nextPoint.x - dy*size;
|
||||
vertices[2*j + 1].y = nextPoint.y + dx*size;
|
||||
vertices[2*j].x = nextPoint.x + dy*size;
|
||||
vertices[2*j].y = nextPoint.y - dx*size;
|
||||
|
||||
currentPoint = nextPoint;
|
||||
}
|
||||
|
||||
DrawTriangleStrip(vertices, 2*SPLINE_LINE_DIVISIONS + 2, color);
|
||||
}
|
||||
|
||||
DrawCircleV(currentPoint, thick/2.0f, color); // Draw end line circle-cap
|
||||
}
|
||||
|
||||
// Draw spline: Catmull Rom, minimum 4 points
|
||||
void DrawSplineCatmullRom(Vector2 *points, int pointCount, float thick, Color color)
|
||||
{
|
||||
if (pointCount < 4) return;
|
||||
|
||||
float dy = 0.0f;
|
||||
float dx = 0.0f;
|
||||
float size = 0.0f;
|
||||
|
||||
Vector2 currentPoint = points[1];
|
||||
Vector2 nextPoint = { 0 };
|
||||
Vector2 vertices[2*SPLINE_LINE_DIVISIONS + 2] = { 0 };
|
||||
|
||||
DrawCircleV(currentPoint, thick/2.0f, color); // Draw init line circle-cap
|
||||
|
||||
for (int i = 0; i < (pointCount - 3); i++)
|
||||
{
|
||||
float t = 0.0f;
|
||||
Vector2 p1 = points[i], p2 = points[i + 1], p3 = points[i + 2], p4 = points[i + 3];
|
||||
|
||||
if (i > 0)
|
||||
{
|
||||
vertices[0].x = currentPoint.x + dy*size;
|
||||
vertices[0].y = currentPoint.y - dx*size;
|
||||
vertices[1].x = currentPoint.x - dy*size;
|
||||
vertices[1].y = currentPoint.y + dx*size;
|
||||
}
|
||||
|
||||
for (int j = 1; j <= SPLINE_LINE_DIVISIONS; j++)
|
||||
{
|
||||
t = ((float)j)/((float)SPLINE_LINE_DIVISIONS);
|
||||
|
||||
float q0 = (-1.0f*t*t*t) + (2.0f*t*t) + (-1.0f*t);
|
||||
float q1 = (3.0f*t*t*t) + (-5.0f*t*t) + 2.0f;
|
||||
float q2 = (-3.0f*t*t*t) + (4.0f*t*t) + t;
|
||||
float q3 = t*t*t - t*t;
|
||||
|
||||
nextPoint.x = 0.5f*((p1.x*q0) + (p2.x*q1) + (p3.x*q2) + (p4.x*q3));
|
||||
nextPoint.y = 0.5f*((p1.y*q0) + (p2.y*q1) + (p3.y*q2) + (p4.y*q3));
|
||||
|
||||
dy = nextPoint.y - currentPoint.y;
|
||||
dx = nextPoint.x - currentPoint.x;
|
||||
size = (0.5f*thick)/sqrtf(dx*dx + dy*dy);
|
||||
|
||||
if ((i == 0) && (j == 1))
|
||||
{
|
||||
vertices[0].x = currentPoint.x + dy*size;
|
||||
vertices[0].y = currentPoint.y - dx*size;
|
||||
vertices[1].x = currentPoint.x - dy*size;
|
||||
vertices[1].y = currentPoint.y + dx*size;
|
||||
}
|
||||
|
||||
vertices[2*j + 1].x = nextPoint.x - dy*size;
|
||||
vertices[2*j + 1].y = nextPoint.y + dx*size;
|
||||
vertices[2*j].x = nextPoint.x + dy*size;
|
||||
vertices[2*j].y = nextPoint.y - dx*size;
|
||||
|
||||
currentPoint = nextPoint;
|
||||
}
|
||||
|
||||
DrawTriangleStrip(vertices, 2*SPLINE_LINE_DIVISIONS + 2, color);
|
||||
}
|
||||
|
||||
DrawCircleV(currentPoint, thick/2.0f, color); // Draw end line circle-cap
|
||||
}
|
||||
|
||||
|
||||
// Draw spline segment: quadratic-bezier, one control point
|
||||
void DrawSplineBezierQuad(Vector2 startPos, Vector2 endPos, Vector2 controlPos, float thick, Color color)
|
||||
{
|
||||
const float step = 1.0f/SPLINE_LINE_DIVISIONS;
|
||||
|
||||
Vector2 previous = startPos;
|
||||
Vector2 current = { 0 };
|
||||
float t = 0.0f;
|
||||
|
||||
Vector2 points[2*SPLINE_LINE_DIVISIONS + 2] = { 0 };
|
||||
|
||||
for (int i = 1; i <= SPLINE_LINE_DIVISIONS; i++)
|
||||
{
|
||||
t = step*i;
|
||||
|
||||
float a = powf(1.0f - t, 2);
|
||||
float b = 2.0f*(1.0f - t)*t;
|
||||
float c = powf(t, 2);
|
||||
|
||||
// NOTE: The easing functions aren't suitable here because they don't take a control point
|
||||
current.y = a*startPos.y + b*controlPos.y + c*endPos.y;
|
||||
current.x = a*startPos.x + b*controlPos.x + c*endPos.x;
|
||||
|
||||
float dy = current.y - previous.y;
|
||||
float dx = current.x - previous.x;
|
||||
float size = 0.5f*thick/sqrtf(dx*dx+dy*dy);
|
||||
|
||||
if (i == 1)
|
||||
{
|
||||
points[0].x = previous.x + dy*size;
|
||||
points[0].y = previous.y - dx*size;
|
||||
points[1].x = previous.x - dy*size;
|
||||
points[1].y = previous.y + dx*size;
|
||||
}
|
||||
|
||||
points[2*i + 1].x = current.x - dy*size;
|
||||
points[2*i + 1].y = current.y + dx*size;
|
||||
points[2*i].x = current.x + dy*size;
|
||||
points[2*i].y = current.y - dx*size;
|
||||
|
||||
previous = current;
|
||||
}
|
||||
|
||||
DrawTriangleStrip(points, 2*SPLINE_LINE_DIVISIONS + 2, color);
|
||||
}
|
||||
|
||||
// Draw spline segment: cubic-bezier, two control point
|
||||
void DrawSplineBezierCubic(Vector2 startPos, Vector2 startControlPos, Vector2 endControlPos, Vector2 endPos, float thick, Color color)
|
||||
{
|
||||
const float step = 1.0f/SPLINE_LINE_DIVISIONS;
|
||||
|
||||
Vector2 previous = startPos;
|
||||
Vector2 current = { 0 };
|
||||
float t = 0.0f;
|
||||
|
||||
Vector2 points[2*SPLINE_LINE_DIVISIONS + 2] = { 0 };
|
||||
|
||||
for (int i = 1; i <= SPLINE_LINE_DIVISIONS; i++)
|
||||
{
|
||||
t = step*i;
|
||||
|
||||
float a = powf(1.0f - t, 3);
|
||||
float b = 3.0f*powf(1.0f - t, 2)*t;
|
||||
float c = 3.0f*(1.0f - t)*powf(t, 2);
|
||||
float d = powf(t, 3);
|
||||
|
||||
current.y = a*startPos.y + b*startControlPos.y + c*endControlPos.y + d*endPos.y;
|
||||
current.x = a*startPos.x + b*startControlPos.x + c*endControlPos.x + d*endPos.x;
|
||||
|
||||
float dy = current.y - previous.y;
|
||||
float dx = current.x - previous.x;
|
||||
float size = 0.5f*thick/sqrtf(dx*dx+dy*dy);
|
||||
|
||||
if (i == 1)
|
||||
{
|
||||
points[0].x = previous.x + dy*size;
|
||||
points[0].y = previous.y - dx*size;
|
||||
points[1].x = previous.x - dy*size;
|
||||
points[1].y = previous.y + dx*size;
|
||||
}
|
||||
|
||||
points[2*i + 1].x = current.x - dy*size;
|
||||
points[2*i + 1].y = current.y + dx*size;
|
||||
points[2*i].x = current.x + dy*size;
|
||||
points[2*i].y = current.y - dx*size;
|
||||
|
||||
previous = current;
|
||||
}
|
||||
|
||||
DrawTriangleStrip(points, 2*SPLINE_LINE_DIVISIONS + 2, color);
|
||||
}
|
||||
|
||||
// Get spline point for a given t [0.0f .. 1.0f], Linear
|
||||
Vector2 GetSplinePointLinear(Vector2 startPos, Vector2 endPos, float t)
|
||||
{
|
||||
Vector2 point = { 0 };
|
||||
|
||||
point.x = startPos.x*(1.0f - t) + endPos.x*t;
|
||||
point.y = startPos.y*(1.0f - t) + endPos.y*t;
|
||||
|
||||
return point;
|
||||
}
|
||||
|
||||
// Get spline point for a given t [0.0f .. 1.0f], B-Spline
|
||||
Vector2 GetSplinePointBasis(Vector2 p1, Vector2 p2, Vector2 p3, Vector2 p4, float t)
|
||||
{
|
||||
Vector2 point = { 0 };
|
||||
|
||||
float a[4] = { 0 };
|
||||
float b[4] = { 0 };
|
||||
|
||||
a[0] = (-p1.x + 3*p2.x - 3*p3.x + p4.x)/6.0f;
|
||||
a[1] = (3*p1.x - 6*p2.x + 3*p3.x)/6.0f;
|
||||
a[2] = (-3*p1.x + 3*p3.x)/6.0f;
|
||||
a[3] = (p1.x + 4*p2.x + p3.x)/6.0f;
|
||||
|
||||
b[0] = (-p1.y + 3*p2.y - 3*p3.y + p4.y)/6.0f;
|
||||
b[1] = (3*p1.y - 6*p2.y + 3*p3.y)/6.0f;
|
||||
b[2] = (-3*p1.y + 3*p3.y)/6.0f;
|
||||
b[3] = (p1.y + 4*p2.y + p3.y)/6.0f;
|
||||
|
||||
point.x = a[3] + t*(a[2] + t*(a[1] + t*a[0]));
|
||||
point.y = b[3] + t*(b[2] + t*(b[1] + t*b[0]));
|
||||
|
||||
return point;
|
||||
}
|
||||
|
||||
// Get spline point for a given t [0.0f .. 1.0f], Catmull-Rom
|
||||
Vector2 GetSplinePointCatmullRom(Vector2 p1, Vector2 p2, Vector2 p3, Vector2 p4, float t)
|
||||
{
|
||||
Vector2 point = { 0 };
|
||||
|
||||
float q0 = (-1*t*t*t) + (2*t*t) + (-1*t);
|
||||
float q1 = (3*t*t*t) + (-5*t*t) + 2;
|
||||
float q2 = (-3*t*t*t) + (4*t*t) + t;
|
||||
float q3 = t*t*t - t*t;
|
||||
|
||||
point.x = 0.5f*((p1.x*q0) + (p2.x*q1) + (p3.x*q2) + (p4.x*q3));
|
||||
point.y = 0.5f*((p1.y*q0) + (p2.y*q1) + (p3.y*q2) + (p4.y*q3));
|
||||
|
||||
return point;
|
||||
}
|
||||
|
||||
// Get spline point for a given t [0.0f .. 1.0f], Quadratic Bezier
|
||||
Vector2 GetSplinePointBezierQuad(Vector2 startPos, Vector2 controlPos, Vector2 endPos, float t)
|
||||
{
|
||||
Vector2 point = { 0 };
|
||||
|
||||
float a = powf(1.0f - t, 2);
|
||||
float b = 2.0f*(1.0f - t)*t;
|
||||
float c = powf(t, 2);
|
||||
|
||||
point.y = a*startPos.y + b*controlPos.y + c*endPos.y;
|
||||
point.x = a*startPos.x + b*controlPos.x + c*endPos.x;
|
||||
|
||||
return point;
|
||||
}
|
||||
|
||||
// Get spline point for a given t [0.0f .. 1.0f], Cubic Bezier
|
||||
Vector2 GetSplinePointBezierCubic(Vector2 startPos, Vector2 startControlPos, Vector2 endControlPos, Vector2 endPos, float t)
|
||||
{
|
||||
Vector2 point = { 0 };
|
||||
|
||||
float a = powf(1.0f - t, 3);
|
||||
float b = 3.0f*powf(1.0f - t, 2)*t;
|
||||
float c = 3.0f*(1.0f - t)*powf(t, 2);
|
||||
float d = powf(t, 3);
|
||||
|
||||
point.y = a*startPos.y + b*startControlPos.y + c*endControlPos.y + d*endPos.y;
|
||||
point.x = a*startPos.x + b*startControlPos.x + c*endControlPos.x + d*endPos.x;
|
||||
|
||||
return point;
|
||||
}
|
||||
|
||||
//----------------------------------------------------------------------------------
|
||||
// Module Functions Definition - Collision Detection functions
|
||||
//----------------------------------------------------------------------------------
|
||||
|
||||
Reference in New Issue
Block a user