public void dome(Vector2 a, Vector2 b, float segs = 3, float tension = .3f)
{
float dt = 1f / (float)segs;
Vector2 d = b - a;
float hanx = tension * d.x;
float hany = tension * d.y;
// bezier 1
//Vector2 ha = new Vector2(a.x+hanx, a.y);
//Vector2 hb = new Vector2(b.x, b.y-hany);
Vector2 ha = new Vector2(a.x, a.y + hany);
Vector2 hb = new Vector2(b.x - hanx, b.y);
Vector2 pt;
for (float i = 1; i <= segs; i++)
{
pt = AXTurtle.bezierValue(a, ha, hb, b, i * dt);
path.Add(new IntPoint(sup(pt.x), sup(pt.y)));
}
}
public void cymareversa(Vector2 a, Vector2 b, float segs = 3, float tension = .3f)
{
float dt = 1f / (float)segs;
Vector2 d = b - a;
Vector2 midpt = a + d / 2;
float hanx = tension * d.x;
float hany = tension * d.y;
Vector2 pt;
// bezier 1
Vector2 ha1 = new Vector2(a.x, a.y + hanx);
Vector2 ha2 = new Vector2(midpt.x - hanx, midpt.y - hany / 2);
for (float i = 1; i <= segs; i++)
{
pt = AXTurtle.bezierValue(a, ha1, ha2, midpt, i * dt);
path.Add(new IntPoint(sup(pt.x), sup(pt.y)));
}
// bezier 2
Vector2 hb1 = new Vector2(midpt.x + hanx, midpt.y + hany / 2);
Vector2 hb2 = new Vector2(b.x, b.y - hany);
for (float i = 1; i <= segs; i++)
{
pt = AXTurtle.bezierValue(midpt, hb1, hb2, b, i * dt);
path.Add(new IntPoint(sup(pt.x), sup(pt.y)));
}
}
public void bezier(Vector2 a, Vector2 b, Vector2 c, Vector2 d, int segs)
{
assertPath(a);
float dt = 1f / (float)segs;
for (float i = 1; i <= segs; i++)
{
Vector2 pt = AXTurtle.bezierValue(a, b, c, d, i * dt);
path.Add(new IntPoint(sup(pt.x), sup(pt.y)));
}
if (c.x == d.x && c.y != d.y)
{
if (c.y > d.y)
{
dir(270);
}
else
{
dir(90);
}
}
else
{
dir(Mathf.Atan2(d.y - c.y, d.x - c.x) * Mathf.Rad2Deg);
}
}
public void onion(Vector2 a, Vector2 b, float segs = 3, float tension = .9f)
{
// VALIDATION: Assert at least 3 sides
segs = Mathf.Max(segs, 3);
float dt = 1f / (float)segs;
Vector2 d = b - a;
Vector2 midpt = a + d / 2;
midpt.x = a.x - .2f * d.x;
midpt.y = a.y + .5f * d.y;
float hanx = 1.2f * Mathf.Abs(tension * d.x);
float hany = .20f * Mathf.Abs(tension * d.y);
Vector2 pt;
// bezier 1
Vector2 ha1 = new Vector2(a.x + hanx, a.y);
Vector2 ha2 = new Vector2(midpt.x + hanx, midpt.y - hany);
for (float i = 1; i <= segs; i++)
{
pt = AXTurtle.bezierValue(a, ha1, ha2, midpt, i * dt);
path.Add(new IntPoint(sup(pt.x), sup(pt.y)));
}
// bezier 2
Vector2 hb1 = new Vector2(midpt.x - hanx, midpt.y + hany);
Vector2 hb2 = new Vector2(b.x, b.y - .5f * hany);
for (float i = 1; i <= segs; i++)
{
pt = AXTurtle.bezierValue(midpt, hb1, hb2, b, i * dt);
path.Add(new IntPoint(sup(pt.x), sup(pt.y)));
}
}
public static Path RoundedRectangle(float width, float height, float r, int segs = 1, bool grounded = false)
{
AXTurtle t = new AXTurtle();
t.mov(-width / 2 + r, -height / 2 + r);
t.dir(0);
t.fwd(width - 2 * r);
t.arcl(90, r, segs);
t.fwd(height - 2 * r);
t.arcl(90, r, segs);
t.fwd(width - 2 * r);
t.arcl(90, r, segs);
t.fwd(height - 2 * r);
t.arcl(90, r, segs);
return(t.getPath());
}
public static Path Rectangle(float width, float height, bool isCentered = true)
{
AXTurtle t = new AXTurtle();
if (isCentered)
{
t.mov(-width / 2, -height / 2);
}
else
{
t.mov(0, 0);
}
t.dir(90);
t.right(width);
t.fwd(height);
t.left(width);
return(t.getPath());
}
// BI_CHAMFER_SIDE
public static Path BiChamferSide(float H = 1,
float R2 = 0,
float R1 = 0,
int SegsPer90 = 3,
bool BevelOut = true,
float Taper = 0,
float TopLip = 0,
float BotLip = 0,
float LipEdge = 0,
float LipEdgeBot = 0,
int Segs = 1
)
{
// DERIVED VARIABLES
/*
* float o = H-(R1+R2);
* float a = Mathf.Atan2(o, Taper) * Mathf.Rad2Deg;
*
* float d = Mathf.Sqrt(Taper*Taper + o*o);
* float dr = Mathf.Abs(R1-R2);
* float b = Mathf.Asin(dr/d) * Mathf.Rad2Deg;
*
* // his is the slope of the line or straight edge of the extrude side.
* float dir = (R2 > R1) ? 180 - (a+b) : 270 - (a + (90-b));
*
* float s = Mathf.Sqrt(d*d - dr*dr);
*/
float o = H - (R1 + R2);
float l = Taper + R2 - R1;
float a = Mathf.Atan2(o, l) * Mathf.Rad2Deg;
float d = Mathf.Sqrt(l * l + o * o);
float dr = Mathf.Abs(R1 - R2);
float s = Mathf.Sqrt(d * d - dr * dr);
float b = Mathf.Asin(dr / d) * Mathf.Rad2Deg;
// his is the slope of the line or straight edge of the extrude side.
float dir = (R2 > R1) ? 180 - (a + b) : 270 - (a + (90 - b));
// START_X
//float startX = 0;
float startX = (R2 > R1) ? R2 - R1 : 0;
startX -= BotLip;
if (!BevelOut)
{
startX -= R1;
}
float startY = LipEdgeBot;
// DRAW SHAPE
AXTurtle t = new AXTurtle();
t.mov(startX, startY);
t.dir(90);
if (LipEdgeBot != 0)
{
t.back(LipEdgeBot);
}
t.dir(0);
if (BotLip > 0)
{
t.fwd(BotLip);
}
// Chamfer Bottom
if (R1 > 0)
{
t.arcl(dir, R1, Mathf.FloorToInt((dir / 90f) * SegsPer90));
}
else
{
t.dir(dir);
}
for (int i = 0; i < Segs; i++)
{
t.fwd(s / Segs);
}
// Chamfer Top
if (R2 > 0)
{
t.arcl((180 - dir), R2, Mathf.FloorToInt(((180 - dir) / 90f) * SegsPer90));
}
else
{
t.dir(180);
}
// TopLip
if (TopLip > 0)
{
t.fwd(TopLip);
}
if (LipEdge != 0)
{
t.left(LipEdge);
}
return(t.path);
}
// TAPERED_SIDE
public static Path Tapered_Side(float H = 1,
float RBase = .5f,
float RTop = .4f,
float HoleRadius = .05f,
float ShiftY = .05f,
float RBevel = 0,
int SegsPer90 = 3,
int SideSegs = 1
)
{
//Debug.Log("RBevel="+RBevel);
// DERIVED VARIABLES
float T = RBase - RTop;
float a = Mathf.Atan2(H, T); // * Mathf.Rad2Deg;
float a_degs = a * Mathf.Rad2Deg;
//Debug.Log ("H="+H+", T="+ T +", a_degs="+ a_degs );
float cos_a = Mathf.Cos(a);
float sin_a = Mathf.Sin(a);
//float s1 = RBevel * (H/T);
float s1 = RBevel * cos_a;
float s2 = (RBevel + s1) * (T / H);
float t1 = RBevel + s2;
//float s3 = RBevel * sin_a;
//float t2 = s3-s1;
float M = H - 2 * RBevel;
//Debug.Log ("t2="+t2+", H="+H+", M="+M);
float S = (sin_a == 0) ? M : (M / sin_a);
//Debug.Log("H="+H+", O="+O+", d="+d + " a="+a_degs+", sin_a="+sin_a +", cos_a="+cos_a);
// float bottomLip = RBase - t1 - HoleRadius;
// float topLip = RTop - t2 - HoleRadius;
float taperAng = 180 - a_degs;
// START_X
//float startX = 0;
float startX = -(t1); // (R2 > R1) ? R2-R1 : 0;
//Debug.Log("t1="+t1);
//startX -= BotLip;
float startY = 0; // ShiftY;
// DRAW SHAPE
AXTurtle t = new AXTurtle();
t.mov(startX, startY);
//t.dir(90);
//if (HoleDepth != 0)
// t.back(HoleDepth);
t.dir(0);
// if (bottomLip > 0)
// t.fwd(bottomLip);
// Chamfer Bottom
if (RBevel > 0)
{
t.arcl(taperAng, RBevel, Mathf.FloorToInt((taperAng / 90f) * SegsPer90));
}
else
{
t.dir(taperAng);
}
// float vsegment = S/((float)SideSegs);
// for (int i=0; i<SideSegs; i++)
// t.fwd(vsegment);
t.fwd(S);
// Chamfer Top
if (RBevel > 0)
{
t.arcl((a_degs), RBevel, Mathf.FloorToInt(((a_degs) / 90f) * SegsPer90));
}
else
{
t.dir(180);
}
// TopLip
// if (topLip > 0)
// t.fwd(topLip);
// if (HoleDepth != 0)
// t.left(HoleDepth);
//Debug.Log ("dir = " + t.rotation +"rBase = " + RBase + ", rTop = " + RTop + "T = " + T + ", LAST "+ t.path [t.path.Count - 1].X);
return(t.path);
}
// ECHINUS
public static Path Echinus(
float H = 1,
float RBase = .5f,
float RTop = .4f,
float TaperBase = .4f,
float RBevBase = .4f,
float RBevTop = .4f,
float HanBase = .4f,
float HanTop = .4f,
float HoleRadius = .05f,
float HoleDepth = .05f,
int SegsPer90 = 5,
int SideSegs = 1
)
{
//Debug.Log("RBevel="+RBevel);
// DERIVED VARIABLES
// BASE
float a_degs = 180 - TaperBase;
float a = a_degs * Mathf.Deg2Rad;
float cos_a = Mathf.Cos(a);
float sin_a = Mathf.Sin(a);
float s1 = RBevBase * cos_a;
float SY = RBevBase + s1;
float SX = SY * cos_a;
float t1 = RBevBase + SX;
//float bottomLip = RBase - t1 - HoleRadius;
float HanBaseX = -SX - HanBase * cos_a;
float HanBaseY = SY + HanBase * sin_a;
// TOP
float W = RTop - RBase;
float b = Mathf.Atan2(H, W); // * Mathf.Rad2Deg;
float cos_b = Mathf.Cos(b);
float sin_b = Mathf.Sin(b);
float b_degs = b * Mathf.Rad2Deg;
float d1 = RBevTop * cos_b;
float DY = H - (RBevTop + d1);
float DX = DY * (W / H);
//float TaperTop = Mathf.Atan2(H, W);
float HanTopX = DX - HanTop * cos_b;
float HanTopY = DY - HanTop * sin_b;
//Debug.Log("H="+H+", O="+O+", d="+d + " a="+a_degs+", sin_a="+sin_a +", cos_a="+cos_a);
// START_X
//float startX = 0;
//float startX = -(t1+bottomLip);// (R2 > R1) ? R2-R1 : 0;
float startX = -(t1); // (R2 > R1) ? R2-R1 : 0;
//startX -= BotLip;
float startY = 0;
// DRAW SHAPE
AXTurtle t = new AXTurtle();
t.mov(startX, startY);
// t.dir(90);
//
// if (HoleDepth != 0)
// t.back(HoleDepth);
t.dir(0);
// if (bottomLip > 0)
// t.fwd(bottomLip);
// Chamfer Bottom
//Debug.Log("TaperBase="+TaperBase+", RBevBase=" + RBevBase);
if (RBevBase > 0)
{
t.arcl(TaperBase, RBevBase, Mathf.FloorToInt((TaperBase / 90f) * SegsPer90));
}
else
{
t.dir(TaperBase);
}
Vector2 A = new Vector2(-SX, SY);
Vector2 AH = new Vector2(HanBaseX, HanBaseY);
Vector2 BH = new Vector2(HanTopX, HanTopY);
Vector2 B = new Vector2(DX, DY);
t.bezier(A, AH, BH, B, SegsPer90);
// for (int i=0; i<SideSegs; i++)
// t.fwd(s/SideSegs);
// Chamfer Top
if (RBevTop > 0)
{
t.arcl((a_degs + 90), RBevTop, Mathf.FloorToInt(((b_degs) / 90f) * SegsPer90));
}
else
{
t.dir(180);
}
// // TopLip
// if (topLip > 0)
// t.fwd(topLip);
//
//
// if (HoleDepth != 0)
// t.left(HoleDepth);
return(t.path);
}