Revision 649544b8
Added by Leszek Koltunski over 7 years ago
| src/main/java/org/distorted/library/type/Dynamic3D.java | ||
|---|---|---|
| 29 | 29 |
|
| 30 | 30 |
public class Dynamic3D extends Dynamic implements Data3D |
| 31 | 31 |
{
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| 32 |
|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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| 34 |
// the coefficients of the X(t), Y(t) and Z(t) polynomials: X(t) = ax*T^3 + bx*T^2 + cx*t + dx etc. |
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| 35 |
// (x,y,z) is the vector tangent to the path. |
|
| 36 |
// (vx,vy,vz) is the original vector from vv (copied here so when interpolating we can see if it is |
|
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// still valid and if not - rebuild the Cache |
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|
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private class VectorCache |
|
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{
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float ax, bx, cx, dx; |
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float ay, by, cy, dy; |
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float az, bz, cz, dz; |
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|
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float x,y,z; |
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float vx,vy,vz; |
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} |
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|
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private Vector<VectorCache> vc; |
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private VectorCache tmp1, tmp2; |
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| 51 |
|
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| 52 | 32 |
private Vector<Static3D> vv; |
| 53 | 33 |
private Static3D prev, curr, next; |
| 54 | 34 |
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private float vec1X,vec1Y,vec1Z; // vector perpendicular to v(t) and in the same plane as v(t) and a(t) (for >2 points only, in case of 2 points this is calculated differently) |
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private float vec2X,vec2Y,vec2Z; // vector perpendicular to v(t0 and to vec1. |
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|
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| 58 | 35 |
/////////////////////////////////////////////////////////////////////////////////////////////////// |
| 59 | 36 |
// no array bounds checking! |
| 60 | 37 |
|
| ... | ... | |
| 84 | 61 |
|
| 85 | 62 |
if( q>1 ) |
| 86 | 63 |
{
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tmp1.x = nx+px/q;
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tmp1.y = ny+py/q;
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tmp1.z = nz+pz/q;
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tmp1.tangent[0] = nx+px/q;
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tmp1.tangent[1] = ny+py/q;
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tmp1.tangent[2] = nz+pz/q;
|
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| 90 | 67 |
} |
| 91 | 68 |
else |
| 92 | 69 |
{
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tmp1.x = px+nx*q;
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tmp1.y = py+ny*q;
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tmp1.z = pz+nz*q;
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tmp1.tangent[0] = px+nx*q;
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tmp1.tangent[1] = py+ny*q;
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tmp1.tangent[2] = pz+nz*q;
|
|
| 96 | 73 |
} |
| 97 | 74 |
} |
| 98 | 75 |
else |
| 99 | 76 |
{
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tmp1.x = 0.0f;
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tmp1.y = 0.0f;
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tmp1.z = 0.0f;
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tmp1.tangent[0] = 0.0f;
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tmp1.tangent[1] = 0.0f;
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tmp1.tangent[2] = 0.0f;
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| 103 | 80 |
} |
| 104 | 81 |
} |
| 105 | 82 |
|
| ... | ... | |
| 112 | 89 |
tmp1= vc.elementAt(0); |
| 113 | 90 |
curr= vv.elementAt(0); |
| 114 | 91 |
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tmp1.ax = tmp1.ay = tmp1.az = 0.0f;
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tmp1.bx = tmp1.by = tmp1.bz = 0.0f;
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tmp1.cx = curr.x;
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tmp1.cy = curr.y;
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tmp1.cz = curr.z;
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tmp1.dx = tmp1.dy = tmp1.dz = 0.0f;
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tmp1.a[0] = tmp1.a[1] = tmp1.a[2] = 0.0f;
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tmp1.b[0] = tmp1.b[1] = tmp1.b[2] = 0.0f;
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tmp1.c[0] = curr.x;
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tmp1.c[1] = curr.y;
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tmp1.c[2] = curr.z;
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tmp1.d[0] = tmp1.d[1] = tmp1.d[2] = 0.0f;
|
|
| 121 | 98 |
} |
| 122 | 99 |
else if( numPoints==2 ) |
| 123 | 100 |
{
|
| ... | ... | |
| 126 | 103 |
curr= vv.elementAt(0); |
| 127 | 104 |
next= vv.elementAt(1); |
| 128 | 105 |
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tmp1.ax = tmp1.ay = tmp1.az = 0.0f;
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tmp1.bx = tmp1.by = tmp1.bz = 0.0f;
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tmp1.cx = next.x - curr.x;
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tmp1.cy = next.y - curr.y;
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tmp1.cz = next.z - curr.z;
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tmp1.dx = curr.x;
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tmp1.dy = curr.y;
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tmp1.dz = curr.z;
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tmp1.a[0] = tmp1.a[1] = tmp1.a[2] = 0.0f;
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tmp1.b[0] = tmp1.b[1] = tmp1.b[2] = 0.0f;
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tmp1.c[0] = next.x - curr.x;
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tmp1.c[1] = next.y - curr.y;
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tmp1.c[2] = next.z - curr.z;
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tmp1.d[0] = curr.x;
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tmp1.d[1] = curr.y;
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tmp1.d[2] = curr.z;
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| 137 | 114 |
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tmp2.ax = tmp2.ay = tmp2.az = 0.0f;
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tmp2.bx = tmp2.by = tmp2.bz = 0.0f;
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tmp2.cx = curr.x - next.x;
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tmp2.cy = curr.y - next.y;
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tmp2.cz = curr.z - next.z;
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tmp2.dx = next.x;
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tmp2.dy = next.y;
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tmp2.dz = next.z;
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tmp2.a[0] = tmp2.a[1] = tmp2.a[2] = 0.0f;
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tmp2.b[0] = tmp2.b[1] = tmp2.b[2] = 0.0f;
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tmp2.c[0] = curr.x - next.x;
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tmp2.c[1] = curr.y - next.y;
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tmp2.c[2] = curr.z - next.z;
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tmp2.d[0] = next.x;
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tmp2.d[1] = next.y;
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tmp2.d[2] = next.z;
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| 146 | 123 |
} |
| 147 | 124 |
else |
| 148 | 125 |
{
|
| ... | ... | |
| 159 | 136 |
curr= vv.elementAt(i); |
| 160 | 137 |
next= vv.elementAt(n); |
| 161 | 138 |
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tmp1.vx = curr.x;
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tmp1.vy = curr.y;
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tmp1.vz = curr.z;
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tmp1.cached[0] = curr.x;
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tmp1.cached[1] = curr.y;
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tmp1.cached[2] = curr.z;
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| 165 | 142 |
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tmp1.ax = 2*curr.x + tmp1.x - 2*next.x + tmp2.x;
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tmp1.bx = -3*curr.x - 2*tmp1.x + 3*next.x - tmp2.x;
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tmp1.cx = tmp1.x;
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tmp1.dx = curr.x;
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tmp1.a[0] = 2*curr.x + tmp1.tangent[0] - 2*next.x + tmp2.tangent[0];
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tmp1.b[0] = -3*curr.x - 2*tmp1.tangent[0] + 3*next.x - tmp2.tangent[0];
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tmp1.c[0] = tmp1.tangent[0];
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tmp1.d[0] = curr.x;
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| 170 | 147 |
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tmp1.ay = 2*curr.y + tmp1.y - 2*next.y + tmp2.y;
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tmp1.by = -3*curr.y - 2*tmp1.y + 3*next.y - tmp2.y;
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tmp1.cy = tmp1.y;
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tmp1.dy = curr.y;
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tmp1.a[1] = 2*curr.y + tmp1.tangent[1] - 2*next.y + tmp2.tangent[1];
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tmp1.b[1] = -3*curr.y - 2*tmp1.tangent[1] + 3*next.y - tmp2.tangent[1];
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tmp1.c[1] = tmp1.tangent[1];
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tmp1.d[1] = curr.y;
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| 175 | 152 |
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tmp1.az = 2*curr.z + tmp1.z - 2*next.z + tmp2.z;
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tmp1.bz = -3*curr.z - 2*tmp1.z + 3*next.z - tmp2.z;
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tmp1.cz = tmp1.z;
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tmp1.dz = curr.z;
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tmp1.a[2] = 2*curr.z + tmp1.tangent[2] - 2*next.z + tmp2.tangent[2];
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tmp1.b[2] = -3*curr.z - 2*tmp1.tangent[2] + 3*next.z - tmp2.tangent[2];
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tmp1.c[2] = tmp1.tangent[2];
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tmp1.d[2] = curr.z;
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| 180 | 157 |
} |
| 181 | 158 |
} |
| 182 | 159 |
|
| 183 | 160 |
cacheDirty = false; |
| 184 | 161 |
} |
| 185 | 162 |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// v is the speed vector (i.e. position p(t) differentiated by time) |
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// a is the acceleration vector (differentiate once more) |
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// now what we are doing is compute vec1{X,Y,Z} to be a vector perpendicular to v and in the same plane as both v and a.
|
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// vec2{X,Y,Z} would be (v)x(vec1).
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// |
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// vec1 = a-delta*v where delta = (v*a)/|v|^2 (see Gram-Schmidt) |
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|
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private void setUpVectors(float time,VectorCache vc) |
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{
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if( vc!=null ) |
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{
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float vx = (3*vc.ax*time+2*vc.bx)*time+vc.cx; |
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float vy = (3*vc.ay*time+2*vc.by)*time+vc.cy; |
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float vz = (3*vc.az*time+2*vc.bz)*time+vc.cz; |
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|
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float ax = 6*vc.ax*time+2*vc.bx; |
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float ay = 6*vc.ay*time+2*vc.by; |
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float az = 6*vc.az*time+2*vc.bz; |
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|
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float v_sq = vx*vx+vy*vy+vz*vz; |
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float delta = (vx*ax+vy*ay+vz*az)/v_sq; |
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vec1X = ax-delta*vx; |
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vec1Y = ay-delta*vy; |
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vec1Z = az-delta*vz; |
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vec2X = vy*vec1Z-vz*vec1Y; |
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vec2Y = vz*vec1X-vx*vec1Z; |
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vec2Z = vx*vec1Y-vy*vec1X; |
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|
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| 217 |
float len1 = (float)Math.sqrt(v_sq/(vec1X*vec1X+vec1Y*vec1Y+vec1Z*vec1Z)); |
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float len2 = (float)Math.sqrt(v_sq/(vec2X*vec2X+vec2Y*vec2Y+vec2Z*vec2Z)); |
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|
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vec1X*=len1; |
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vec1Y*=len1; |
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vec1Z*=len1; |
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|
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vec2X*=len2; |
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vec2Y*=len2; |
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vec2Z*=len2; |
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} |
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else |
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{
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curr = vv.elementAt(0); |
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next = vv.elementAt(1); |
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|
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| 233 |
float vx = (next.x-curr.x); |
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float vy = (next.y-curr.y); |
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float vz = (next.z-curr.z); |
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| 237 |
float b = (float)Math.sqrt(vx*vx+vy*vy); |
|
| 238 |
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| 239 |
if( b>0.0f ) |
|
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{
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| 241 |
vec1X = vx*vz/b; |
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| 242 |
vec1Y = vy*vz/b; |
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vec1Z = -b; |
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| 244 |
|
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| 245 |
vec2X = vy*vec1Z-vz*vec1Y; |
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| 246 |
vec2Y = vz*vec1X-vx*vec1Z; |
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| 247 |
vec2Z = vx*vec1Y-vy*vec1X; |
|
| 248 |
|
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| 249 |
float len2 = (float)Math.sqrt((vx*vx+vy*vy+vz*vz)/(vec2X*vec2X+vec2Y*vec2Y+vec2Z*vec2Z)); |
|
| 250 |
|
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| 251 |
vec2X*=len2; |
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vec2Y*=len2; |
|
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vec2Z*=len2; |
|
| 254 |
} |
|
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else |
|
| 256 |
{
|
|
| 257 |
vec1X = vz; |
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| 258 |
vec1Y = 0.0f; |
|
| 259 |
vec1Z = 0.0f; |
|
| 260 |
|
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| 261 |
vec2X = 0.0f; |
|
| 262 |
vec2Y = vz; |
|
| 263 |
vec2Z = 0.0f; |
|
| 264 |
} |
|
| 265 |
} |
|
| 266 |
} |
|
| 267 |
|
|
| 268 | 163 |
/////////////////////////////////////////////////////////////////////////////////////////////////// |
| 269 | 164 |
// PUBLIC API |
| 270 | 165 |
/////////////////////////////////////////////////////////////////////////////////////////////////// |
| ... | ... | |
| 273 | 168 |
*/ |
| 274 | 169 |
public Dynamic3D() |
| 275 | 170 |
{
|
| 276 |
this(0,0.5f); |
|
| 171 |
super(0,0.5f,3); |
|
| 172 |
vv = new Vector<>(); |
|
| 277 | 173 |
} |
| 278 | 174 |
|
| 279 | 175 |
/////////////////////////////////////////////////////////////////////////////////////////////////// |
| ... | ... | |
| 288 | 184 |
*/ |
| 289 | 185 |
public Dynamic3D(int duration, float count) |
| 290 | 186 |
{
|
| 187 |
super(duration,count,3); |
|
| 291 | 188 |
vv = new Vector<>(); |
| 292 |
vc = new Vector<>(); |
|
| 293 |
vn = null; |
|
| 294 |
numPoints = 0; |
|
| 295 |
cacheDirty = false; |
|
| 296 |
mMode = MODE_LOOP; |
|
| 297 |
mDuration = duration; |
|
| 298 |
mCount = count; |
|
| 299 |
mDimension = 3; |
|
| 300 | 189 |
} |
| 301 | 190 |
|
| 302 | 191 |
/////////////////////////////////////////////////////////////////////////////////////////////////// |
| ... | ... | |
| 355 | 244 |
switch(numPoints) |
| 356 | 245 |
{
|
| 357 | 246 |
case 0: break; |
| 358 |
case 1: setUpVectors(0.0f,null);
|
|
| 247 |
case 1: computeOrthonormalBase2(vv.elementAt(0),v);
|
|
| 359 | 248 |
break; |
| 360 |
case 2: vc.add(new VectorCache()); |
|
| 361 |
vc.add(new VectorCache()); |
|
| 362 |
vc.add(new VectorCache()); |
|
| 249 |
case 2: vc.add(new VectorCache(3));
|
|
| 250 |
vc.add(new VectorCache(3));
|
|
| 251 |
vc.add(new VectorCache(3));
|
|
| 363 | 252 |
break; |
| 364 |
default:vc.add(new VectorCache()); |
|
| 253 |
default:vc.add(new VectorCache(3));
|
|
| 365 | 254 |
} |
| 366 | 255 |
|
| 367 | 256 |
numPoints++; |
| ... | ... | |
| 387 | 276 |
switch(numPoints) |
| 388 | 277 |
{
|
| 389 | 278 |
case 0: break; |
| 390 |
case 1: setUpVectors(0.0f,null);
|
|
| 279 |
case 1: computeOrthonormalBase2(vv.elementAt(0),v);
|
|
| 391 | 280 |
break; |
| 392 |
case 2: vc.add(new VectorCache()); |
|
| 393 |
vc.add(new VectorCache()); |
|
| 394 |
vc.add(new VectorCache()); |
|
| 281 |
case 2: vc.add(new VectorCache(3));
|
|
| 282 |
vc.add(new VectorCache(3));
|
|
| 283 |
vc.add(new VectorCache(3));
|
|
| 395 | 284 |
break; |
| 396 |
default:vc.add(location,new VectorCache()); |
|
| 285 |
default:vc.add(location,new VectorCache(3));
|
|
| 397 | 286 |
} |
| 398 | 287 |
|
| 399 | 288 |
numPoints++; |
| ... | ... | |
| 425 | 314 |
case 1: |
| 426 | 315 |
case 2: break; |
| 427 | 316 |
case 3: vc.removeAllElements(); |
| 428 |
setUpVectors(0.0f,null);
|
|
| 317 |
computeOrthonormalBase2(vv.elementAt(0),vv.elementAt(1));
|
|
| 429 | 318 |
break; |
| 430 | 319 |
default:vc.remove(n); |
| 431 | 320 |
} |
| ... | ... | |
| 464 | 353 |
case 1: |
| 465 | 354 |
case 2: break; |
| 466 | 355 |
case 3: vc.removeAllElements(); |
| 467 |
setUpVectors(0.0f,null);
|
|
| 356 |
computeOrthonormalBase2(vv.elementAt(0),vv.elementAt(1));
|
|
| 468 | 357 |
break; |
| 469 | 358 |
default:vc.removeElementAt(location); |
| 470 | 359 |
} |
| ... | ... | |
| 525 | 414 |
{
|
| 526 | 415 |
time = noise(time,0); |
| 527 | 416 |
|
| 528 |
buffer[offset ] = (next.x-curr.x)*time + curr.x + (vec1X*mFactor[0] + vec2X*mFactor[1]);
|
|
| 529 |
buffer[offset+1] = (next.y-curr.y)*time + curr.y + (vec1Y*mFactor[0] + vec2Y*mFactor[1]);
|
|
| 530 |
buffer[offset+2] = (next.z-curr.z)*time + curr.z + (vec1Z*mFactor[0] + vec2Z*mFactor[1]);
|
|
| 417 |
buffer[offset ] = (next.x-curr.x)*time + curr.x + (baseV[0][0]*mFactor[0] + baseV[1][0]*mFactor[1]);
|
|
| 418 |
buffer[offset+1] = (next.y-curr.y)*time + curr.y + (baseV[0][1]*mFactor[0] + baseV[1][1]*mFactor[1]);
|
|
| 419 |
buffer[offset+2] = (next.z-curr.z)*time + curr.z + (baseV[0][2]*mFactor[0] + baseV[1][2]*mFactor[1]);
|
|
| 531 | 420 |
} |
| 532 | 421 |
else |
| 533 | 422 |
{
|
| ... | ... | |
| 575 | 464 |
next = vv.elementAt(vecNext); |
| 576 | 465 |
tmp2 = vc.elementAt(vecNext); |
| 577 | 466 |
|
| 578 |
if( tmp2.vx!=next.x || tmp2.vy!=next.y || tmp2.vz!=next.z ) recomputeCache();
|
|
| 467 |
if( tmp2.cached[0]!=next.x || tmp2.cached[1]!=next.y || tmp2.cached[2]!=next.z ) recomputeCache();
|
|
| 579 | 468 |
} |
| 580 | 469 |
|
| 581 | 470 |
tmp1 = vc.elementAt(vecCurr); |
| ... | ... | |
| 584 | 473 |
{
|
| 585 | 474 |
time = noise(time,vecCurr); |
| 586 | 475 |
|
| 587 |
setUpVectors(time,tmp1);
|
|
| 476 |
computeOrthonormalBaseMore(time,tmp1);
|
|
| 588 | 477 |
|
| 589 |
buffer[offset ]= ((tmp1.ax*time+tmp1.bx)*time+tmp1.cx)*time+tmp1.dx + (vec1X*mFactor[0] + vec2X*mFactor[1]);
|
|
| 590 |
buffer[offset+1]= ((tmp1.ay*time+tmp1.by)*time+tmp1.cy)*time+tmp1.dy + (vec1Y*mFactor[0] + vec2Y*mFactor[1]);
|
|
| 591 |
buffer[offset+2]= ((tmp1.az*time+tmp1.bz)*time+tmp1.cz)*time+tmp1.dz + (vec1Z*mFactor[0] + vec2Z*mFactor[1]);
|
|
| 478 |
buffer[offset ]= ((tmp1.a[0]*time+tmp1.b[0])*time+tmp1.c[0])*time+tmp1.d[0] + (baseV[0][0]*mFactor[0] + baseV[1][0]*mFactor[1]);
|
|
| 479 |
buffer[offset+1]= ((tmp1.a[1]*time+tmp1.b[1])*time+tmp1.c[1])*time+tmp1.d[1] + (baseV[0][1]*mFactor[0] + baseV[1][1]*mFactor[1]);
|
|
| 480 |
buffer[offset+2]= ((tmp1.a[2]*time+tmp1.b[2])*time+tmp1.c[2])*time+tmp1.d[2] + (baseV[0][2]*mFactor[0] + baseV[1][2]*mFactor[1]);
|
|
| 592 | 481 |
} |
| 593 | 482 |
else |
| 594 | 483 |
{
|
| 595 |
buffer[offset ]= ((tmp1.ax*time+tmp1.bx)*time+tmp1.cx)*time+tmp1.dx;
|
|
| 596 |
buffer[offset+1]= ((tmp1.ay*time+tmp1.by)*time+tmp1.cy)*time+tmp1.dy;
|
|
| 597 |
buffer[offset+2]= ((tmp1.az*time+tmp1.bz)*time+tmp1.cz)*time+tmp1.dz;
|
|
| 484 |
buffer[offset ]= ((tmp1.a[0]*time+tmp1.b[0])*time+tmp1.c[0])*time+tmp1.d[0];
|
|
| 485 |
buffer[offset+1]= ((tmp1.a[1]*time+tmp1.b[1])*time+tmp1.c[1])*time+tmp1.d[1];
|
|
| 486 |
buffer[offset+2]= ((tmp1.a[2]*time+tmp1.b[2])*time+tmp1.c[2])*time+tmp1.d[2];
|
|
| 598 | 487 |
} |
| 599 | 488 |
|
| 600 | 489 |
break; |
Also available in: Unified diff
Completely redesign Noise in the Dynamics and move all the complexity to the parent class.
something does not work with it now :)