} // End of GenerateArrowRibbon
private void GenerateFlatRibbon(List <Vector3> vertices, List <Vector3> normals, List <int> triangles)
{
Vector3 CentPoint0, CentPoint1, Sid1Point0, Sid1Point1, Sid2Point0, Sid2Point1,
Transversal, Tangent, Normal0, Normal1;
Vector3 CP0, CP1, S1P0, S1P1, S2P0, S2P1, Norm0, Norm1;
int ui;
float u = 0f; // needs to be assigned
CentPoint0 = CentPoint1 = Sid1Point0 = Sid1Point1 = Sid2Point0 = Sid2Point1 = Transversal = Tangent = Normal0 = Normal1 = Vector3.zero;
CP0 = CP1 = S1P0 = S1P1 = S2P0 = S2P1 = Norm0 = Norm1 = Vector3.zero;
// The initial geometry is generated
splineSide1.Feval(0f, out Sid1Point1);
splineCenter.Feval(0f, out CentPoint1);
splineSide2.Feval(0f, out Sid2Point1);
// The tangents at the three previous points are the same
splineSide2.Deval(0f, out Tangent);
// Vector transversal to the ribbon
Transversal = Sid1Point1 - Sid2Point1;
Normal1 = Vector3.Cross(Transversal, Tangent);
Normal1.Normalize();
Vector3 leftNormal0, leftNormal1, rightNormal0, rightNormal1;
for (ui = 1; ui <= 10; ui++)
{
if (ui % uspacing == 0)
{
u = 0.1f * (float)ui;
// The geometry of the previous iteration is saved
Sid1Point0 = Sid1Point1;
CentPoint0 = CentPoint1;
Sid2Point0 = Sid2Point1;
Normal0 = Normal1;
// The new geometry is generated
splineSide1.Feval(u, out Sid1Point1);
splineCenter.Feval(u, out CentPoint1);
splineSide2.Feval(u, out Sid2Point1);
// The tangents at the three previous points are the same
splineSide2.Deval(u, out Tangent);
// Vector transversal to the ribbon
Transversal = Sid1Point1 - Sid2Point1;
Normal1 = Vector3.Cross(Transversal, Tangent);
Normal1.Normalize();
// The x coordinates must be flipped, but the original vectors can't be
// modified because they will be reused in the next iteration.
S1P0 = new Vector3(-Sid1Point0.x, Sid1Point0.y, Sid1Point0.z);
S1P1 = new Vector3(-Sid1Point1.x, Sid1Point1.y, Sid1Point1.z);
S2P0 = new Vector3(-Sid2Point0.x, Sid2Point0.y, Sid2Point0.z);
S2P1 = new Vector3(-Sid2Point1.x, Sid2Point1.y, Sid2Point1.z);
CP0 = new Vector3(-CentPoint0.x, CentPoint0.y, CentPoint0.z);
CP1 = new Vector3(-CentPoint1.x, CentPoint1.y, CentPoint1.z);
Norm0 = new Vector3(-Normal0.x, Normal0.y, Normal0.z);
Norm1 = new Vector3(-Normal1.x, Normal1.y, Normal1.z);
// Left and right may be reversed, but either way,
// these normals point outwards from the ribbons, horizontally.
leftNormal0 = (S1P0 - CP0).normalized;
leftNormal1 = (S1P1 - CP1).normalized;
rightNormal0 = (S2P0 - CP0).normalized;
rightNormal1 = (S2P1 - CP1).normalized;
// The (Sid1Point0, Sid1Point1, CentPoint1) triangle is added.
vertices.Add(S1P0);
normals.Add(Norm0);
vertices.Add(S1P1);
normals.Add(Norm1);
vertices.Add(CP1);
normals.Add(Norm1);
triangles.Add(vIndex);
triangles.Add(vIndex + 1);
triangles.Add(vIndex + 2);
// and duplicated above
vertices.Add(S1P0 + THICKNESS * Norm0);
normals.Add(-Norm0);
vertices.Add(S1P1 + THICKNESS * Norm1);
normals.Add(-Norm1);
vertices.Add(CP1 + THICKNESS * Norm1);
normals.Add(-Norm1);
triangles.Add(vIndex + 3);
triangles.Add(vIndex + 4);
triangles.Add(vIndex + 5);
// The (Sid1Point0, CentPoint1, CentPoint0) triangle is added.
vertices.Add(S1P0);
normals.Add(Norm0);
vertices.Add(CP1);
normals.Add(Norm1);
vertices.Add(CP0);
normals.Add(Norm0);
triangles.Add(vIndex + 6);
triangles.Add(vIndex + 7);
triangles.Add(vIndex + 8);
// and duplicated above
vertices.Add(S1P0 + THICKNESS * Norm0);
normals.Add(-Norm0);
vertices.Add(CP1 + THICKNESS * Norm1);
normals.Add(-Norm1);
vertices.Add(CP0 + THICKNESS * Norm0);
normals.Add(-Norm0);
triangles.Add(vIndex + 9);
triangles.Add(vIndex + 10);
triangles.Add(vIndex + 11);
// (Sid2Point0, Sid2Point1, CentPoint1) triangle is added.
vertices.Add(S2P0);
normals.Add(Norm0);
vertices.Add(S2P1);
normals.Add(Norm1);
vertices.Add(CP1);
normals.Add(Norm1);
triangles.Add(vIndex + 12);
triangles.Add(vIndex + 13);
triangles.Add(vIndex + 14);
// and duplicated above
vertices.Add(S2P0 + THICKNESS * Norm0);
normals.Add(-Norm0);
vertices.Add(S2P1 + THICKNESS * Norm1);
normals.Add(-Norm1);
vertices.Add(CP1 + THICKNESS * Norm1);
normals.Add(-Norm1);
triangles.Add(vIndex + 15);
triangles.Add(vIndex + 16);
triangles.Add(vIndex + 17);
// (Sid2Point0, CentPoint1, CentPoint0) triangle is added.
vertices.Add(S2P0);
normals.Add(Norm0);
vertices.Add(CP1);
normals.Add(Norm1);
vertices.Add(CP0);
normals.Add(Norm0);
triangles.Add(vIndex + 18);
triangles.Add(vIndex + 19);
triangles.Add(vIndex + 20);
// and duplicated above
vertices.Add(S2P0 + THICKNESS * Norm0);
normals.Add(-Norm0);
vertices.Add(CP1 + THICKNESS * Norm1);
normals.Add(-Norm1);
vertices.Add(CP0 + THICKNESS * Norm0);
normals.Add(-Norm0);
triangles.Add(vIndex + 21);
triangles.Add(vIndex + 22);
triangles.Add(vIndex + 23);
// Duplicating the side vertices and giving them the proper normals
// for the sides of the thick ribbons
vertices.Add(S1P0);
normals.Add(leftNormal0);
vertices.Add(S1P1);
normals.Add(leftNormal1);
vertices.Add(S2P0);
normals.Add(rightNormal0);
vertices.Add(S2P1);
normals.Add(rightNormal1);
// and duplicating them again, this time raising them as well
vertices.Add(S1P0 + THICKNESS * Norm0);
normals.Add(leftNormal0);
vertices.Add(S1P1 + THICKNESS * Norm1);
normals.Add(leftNormal1);
vertices.Add(S2P0 + THICKNESS * Norm0);
normals.Add(rightNormal0);
vertices.Add(S2P1 + THICKNESS * Norm1);
normals.Add(rightNormal1);
// Side triangles
triangles.Add(vIndex + 24);
triangles.Add(vIndex + 25);
triangles.Add(vIndex + 28);
triangles.Add(vIndex + 25);
triangles.Add(vIndex + 28);
triangles.Add(vIndex + 29);
triangles.Add(vIndex + 26);
triangles.Add(vIndex + 27);
triangles.Add(vIndex + 30);
triangles.Add(vIndex + 27);
triangles.Add(vIndex + 30);
triangles.Add(vIndex + 31);
vIndex += 32;
}
}
} // End of GenerateFlatRibbons
} // End of GenerateSpline
private void GenerateArrowRibbon(List <Vector3> vertices, List <Vector3> normals, List <int> triangles)
{
Vector3 CentPoint0, CentPoint1, Sid1Point0, Sid1Point1, Sid2Point0, Sid2Point1,
Transversal, Tangent, Normal0, Normal1;
Vector3 CP0, CP1, S1P0, S1P1, S2P0, S2P1, Norm0, Norm1;
Vector3 leftVect0, rightVect0, leftVect1, rightVect1;
Vector3 Forward, LeftDiag0, RightDiag0, LeftDiag1, RightDiag1;
Forward = LeftDiag0 = RightDiag0 = LeftDiag1 = RightDiag1 = Vector3.zero;
leftVect0 = leftVect1 = rightVect0 = rightVect1 = Vector3.zero;
int ui;
float u = 0f; // needs to be assigned
CentPoint0 = CentPoint1 = Sid1Point0 = Sid1Point1 = Sid2Point0 = Sid2Point1 = Transversal = Tangent = Normal0 = Normal1 = Vector3.zero;
CP0 = CP1 = S1P0 = S1P1 = S2P0 = S2P1 = Norm0 = Norm1 = Vector3.zero;
// The initial geometry is generated
splineSide1.Feval(0f, out Sid1Point1);
splineCenter.Feval(0f, out CentPoint1);
splineSide2.Feval(0f, out Sid2Point1);
// The tangents at the three previous points are the same
splineSide2.Deval(0f, out Tangent);
// Vector transversal to the ribbon
Transversal = Sid1Point1 - Sid2Point1;
Normal1 = Vector3.Cross(Transversal, Tangent);
Normal1.Normalize();
float extraWidthFactor = ARROW_WIDTH;
float pointOneAdjustment = 0.1f * ARROW_WIDTH;
float pointOneWidthFactor;
Vector3 leftNormal0, leftNormal1, rightNormal0, rightNormal1;
for (ui = 1; ui <= 10; ui++)
{
if (ui % uspacing == 0)
{
u = 0.1f * (float)ui;
pointOneWidthFactor = extraWidthFactor - pointOneAdjustment;
// The geometry of the previous iteration is saved
Sid1Point0 = Sid1Point1;
CentPoint0 = CentPoint1;
Sid2Point0 = Sid2Point1;
Normal0 = Normal1;
// The new geometry is generated
splineSide1.Feval(u, out Sid1Point1);
splineCenter.Feval(u, out CentPoint1);
splineSide2.Feval(u, out Sid2Point1);
// The tangents at the three previous points are the same
splineSide2.Deval(u, out Tangent);
// Vector transversal to the ribbon
Transversal = Sid1Point1 - Sid2Point1;
Normal1 = Vector3.Cross(Transversal, Tangent);
Normal1.Normalize();
S1P0 = new Vector3(-Sid1Point0.x, Sid1Point0.y, Sid1Point0.z);
S1P1 = new Vector3(-Sid1Point1.x, Sid1Point1.y, Sid1Point1.z);
S2P0 = new Vector3(-Sid2Point0.x, Sid2Point0.y, Sid2Point0.z);
S2P1 = new Vector3(-Sid2Point1.x, Sid2Point1.y, Sid2Point1.z);
CP0 = new Vector3(-CentPoint0.x, CentPoint0.y, CentPoint0.z);
CP1 = new Vector3(-CentPoint1.x, CentPoint1.y, CentPoint1.z);
Norm0 = new Vector3(-Normal0.x, Normal0.y, Normal0.z);
Norm1 = new Vector3(-Normal1.x, Normal1.y, Normal1.z);
leftVect0 = S1P0 - CP0;
leftVect1 = S1P1 - CP1;
rightVect0 = S2P0 - CP0;
rightVect1 = S2P1 - CP1;
leftNormal0 = leftVect0.normalized;
leftNormal1 = leftVect1.normalized;
rightNormal0 = rightVect0.normalized;
rightNormal1 = rightVect1.normalized;
/*
* Forward = (CP1 - CP0).normalized;
* LeftDiag = (Forward + leftNormal0).normalized;
* RightDiag = (Forward + rightNormal0).normalized;
*/
Forward = CP1 - CP0;
LeftDiag0 = (Forward.magnitude * Forward + (leftVect0.magnitude + ARROW_WIDTH) * leftVect0).normalized;
LeftDiag1 = (Forward.magnitude * Forward + (leftVect1.magnitude + ARROW_WIDTH) * leftVect1).normalized;
RightDiag0 = (Forward.magnitude * Forward + (rightVect0.magnitude + ARROW_WIDTH) * rightVect0).normalized;
RightDiag1 = (Forward.magnitude * Forward + (rightVect1.magnitude + ARROW_WIDTH) * rightVect1).normalized;
// The (Sid1Point0, Sid1Point1, CentPoint1) triangle is added.
vertices.Add(S1P0 + extraWidthFactor * leftNormal0);
normals.Add(Norm0);
vertices.Add(S1P1 + pointOneWidthFactor * leftNormal1);
normals.Add(Norm1);
vertices.Add(CP1);
normals.Add(Norm1);
triangles.Add(vIndex);
triangles.Add(vIndex + 1);
triangles.Add(vIndex + 2);
// and duplicated above
vertices.Add(S1P0 + THICKNESS * Norm0 + extraWidthFactor * leftNormal0);
normals.Add(-Norm0);
vertices.Add(S1P1 + THICKNESS * Norm1 + pointOneWidthFactor * leftNormal1);
normals.Add(-Norm1);
vertices.Add(CP1 + THICKNESS * Norm1);
normals.Add(-Norm1);
triangles.Add(vIndex + 3);
triangles.Add(vIndex + 4);
triangles.Add(vIndex + 5);
// The (Sid1Point0, CentPoint1, CentPoint0) triangle is added.
vertices.Add(S1P0 + extraWidthFactor * leftNormal0);
normals.Add(Norm0);
vertices.Add(CP1);
normals.Add(Norm1);
vertices.Add(CP0);
normals.Add(Norm0);
triangles.Add(vIndex + 6);
triangles.Add(vIndex + 7);
triangles.Add(vIndex + 8);
// and duplicated above
vertices.Add(S1P0 + THICKNESS * Norm0 + extraWidthFactor * leftNormal0);
normals.Add(-Norm0);
vertices.Add(CP1 + THICKNESS * Norm1);
normals.Add(-Norm1);
vertices.Add(CP0 + THICKNESS * Norm0);
normals.Add(-Norm0);
triangles.Add(vIndex + 9);
triangles.Add(vIndex + 10);
triangles.Add(vIndex + 11);
// (Sid2Point0, Sid2Point1, CentPoint1) triangle is added.
vertices.Add(S2P0 + extraWidthFactor * rightNormal0);
normals.Add(Norm0);
vertices.Add(S2P1 + pointOneWidthFactor * rightNormal1);
normals.Add(Norm1);
vertices.Add(CP1);
normals.Add(Norm1);
triangles.Add(vIndex + 12);
triangles.Add(vIndex + 13);
triangles.Add(vIndex + 14);
// and duplicated above
vertices.Add(S2P0 + THICKNESS * Norm0 + extraWidthFactor * rightNormal0);
normals.Add(-Norm0);
vertices.Add(S2P1 + THICKNESS * Norm1 + pointOneWidthFactor * rightNormal1);
normals.Add(-Norm1);
vertices.Add(CP1 + THICKNESS * Norm1);
normals.Add(-Norm1);
triangles.Add(vIndex + 15);
triangles.Add(vIndex + 16);
triangles.Add(vIndex + 17);
// (Sid2Point0, CentPoint1, CentPoint0) triangle is added.
vertices.Add(S2P0 + extraWidthFactor * rightNormal0);
normals.Add(Norm0);
vertices.Add(CP1);
normals.Add(Norm1);
vertices.Add(CP0);
normals.Add(Norm0);
triangles.Add(vIndex + 18);
triangles.Add(vIndex + 19);
triangles.Add(vIndex + 20);
// and duplicated above
vertices.Add(S2P0 + THICKNESS * Norm0 + extraWidthFactor * rightNormal0);
normals.Add(-Norm0);
vertices.Add(CP1 + THICKNESS * Norm1);
normals.Add(-Norm1);
vertices.Add(CP0 + THICKNESS * Norm0);
normals.Add(-Norm0);
triangles.Add(vIndex + 21);
triangles.Add(vIndex + 22);
triangles.Add(vIndex + 23);
// Duplicating the side vertices and giving them the proper normals
// for the sides of the thick ribbons
vertices.Add(S1P0 + extraWidthFactor * leftNormal0);
normals.Add(LeftDiag0);
vertices.Add(S1P1 + pointOneWidthFactor * leftNormal1);
normals.Add(LeftDiag1);
vertices.Add(S2P0 + extraWidthFactor * rightNormal0);
normals.Add(RightDiag0);
vertices.Add(S2P1 + pointOneWidthFactor * rightNormal1);
normals.Add(RightDiag1);
// and duplicating them again, this time raising them as well
vertices.Add(S1P0 + THICKNESS * Norm0 + extraWidthFactor * leftNormal0);
normals.Add(LeftDiag0);
vertices.Add(S1P1 + THICKNESS * Norm1 + pointOneWidthFactor * leftNormal1);
normals.Add(LeftDiag1);
vertices.Add(S2P0 + THICKNESS * Norm0 + extraWidthFactor * rightNormal0);
normals.Add(RightDiag0);
vertices.Add(S2P1 + THICKNESS * Norm1 + pointOneWidthFactor * rightNormal1);
normals.Add(RightDiag1);
// Side triangles
triangles.Add(vIndex + 24);
triangles.Add(vIndex + 25);
triangles.Add(vIndex + 28);
triangles.Add(vIndex + 25);
triangles.Add(vIndex + 28);
triangles.Add(vIndex + 29);
triangles.Add(vIndex + 26);
triangles.Add(vIndex + 27);
triangles.Add(vIndex + 30);
triangles.Add(vIndex + 27);
triangles.Add(vIndex + 30);
triangles.Add(vIndex + 31);
// Backside triangles for the arrow
/*
* triangles.Add(vIndex+24);
* triangles.Add(vIndex+8);
* triangles.Add(vIndex+28);
*
* triangles.Add(vIndex+8);
* triangles.Add(vIndex+11);
* triangles.Add(vIndex+28);
*
* triangles.Add(vIndex+8);
* triangles.Add(vIndex+11);
* triangles.Add(vIndex+30);
*
* triangles.Add(vIndex+8);
* triangles.Add(vIndex+26);
* triangles.Add(vIndex+30);
*/
vIndex += 32;
extraWidthFactor = extraWidthFactor - pointOneAdjustment;
}
}
} // End of GenerateArrowRibbon