RH_C_FUNCTION int ON_RayShooter_OneSurface(ON_3DPOINT_STRUCT _point, ON_3DVECTOR_STRUCT _direction, const ON_Surface* pConstSurface, ON_SimpleArray<ON_3dPoint>* pPoints, int maxReflections)
{
int rc = 0;
ON_3dPoint point(_point.val[0], _point.val[1], _point.val[2]);
ON_3dVector direction(_direction.val[0], _direction.val[1], _direction.val[2]);
if( pConstSurface && pPoints && maxReflections>0 && point.IsValid() && direction.Unitize() )
{
ON_RayShooter shooter;
ON_X_EVENT hit;
ON_3dPoint Q = point;
ON_3dVector R = direction;
ON_3dVector V[3];
for( int i=0; i<maxReflections; i++ )
{
memset(&hit,0,sizeof(hit));
ON_3dVector T = R;
if( !T.Unitize() )
break;
if( !shooter.Shoot(Q,T,pConstSurface,hit) )
break;
Q = hit.m_A[0];
pPoints->Append(Q);
if( !hit.m_snodeB[0] )
break;
hit.m_snodeB[0]->Evaluate(hit.m_b[0], hit.m_b[1], 1, 3, &V[0].x);
ON_3dVector N = ON_CrossProduct(V[1],V[2]);
if ( !N.Unitize() )
break;
double d = N*T;
R = T + (-2.0*d)*N; // R = reflection direction
}
rc = pPoints->Count();
}
return rc;
}
int ON_Box::IsDegenerate( double tolerance ) const
{
int rc = 0;
// 0 box is not degenerate
// 1 box is a rectangle (degenerate in one direction)
// 2 box is a line (degenerate in two directions)
// 3 box is a point (degenerate in three directions)
// 4 box is not valid
if ( !dx.IsIncreasing() || !dy.IsIncreasing() || !dz.IsIncreasing() )
{
rc = 4;
}
else
{
const ON_3dVector diag(dx.Length(),dy.Length(),dz.Length());
if ( !ON_IsValid(tolerance) || tolerance < 0.0 )
{
// compute scale invarient tolerance
tolerance = diag.MaximumCoordinate()*ON_SQRT_EPSILON;
}
if ( diag.x <= tolerance )
rc++;
if ( diag.y <= tolerance )
rc++;
if ( diag.z <= tolerance )
rc++;
}
return rc;
}
ON_BOOL32 ON_Light::Transform(
const ON_Xform& xform
)
{
ON_3dVector v;
double vlen;
TransformUserData(xform);
m_location = xform*m_location;
v = xform*m_direction;
vlen = v.Length();
if ( vlen > 0.0 ) {
m_direction = v;
}
v = xform*m_length;
vlen = v.Length();
if ( vlen > 0.0 ) {
m_length = v;
}
v = xform*m_width;
vlen = v.Length();
if ( vlen > 0.0 ) {
m_width = v;
}
return true;
}
CRhinoCommand::result CCommandSampleMoveCPlane::RunCommand( const CRhinoCommandContext& context )
{
CRhinoView* view = ::RhinoApp().ActiveView();
if( !view )
return CRhinoCommand::failure;
ON_3dmConstructionPlane cplane = view->Viewport().ConstructionPlane();
ON_3dPoint origin = cplane.m_plane.origin;
CSampleMoveCPlanePoint gp( cplane );
gp.SetCommandPrompt( L"CPlane origin" );
gp.SetBasePoint( origin );
gp.DrawLineFromPoint( origin, TRUE );
gp.GetPoint();
if( gp.CommandResult() != CRhinoCommand::success )
return gp.CommandResult();
ON_3dPoint pt = gp.Point();
ON_3dVector v = origin - pt;
if( v.IsTiny() )
return CRhinoCommand::nothing;
cplane.m_plane.CreateFromFrame( pt, cplane.m_plane.xaxis, cplane.m_plane.yaxis );
view->Viewport().SetConstructionPlane( cplane );
view->Redraw();
return CRhinoCommand::success;
}
ON_BOOL32 ON_ArcCurve::SetStartPoint(ON_3dPoint start_point)
{
if (IsCircle())
return false;
ON_BOOL32 rc = false;
if ( m_dim == 3 || start_point.z == 0.0 )
{
ON_3dPoint P;
ON_3dVector T;
double t = Domain()[1];
Ev1Der( t, P, T );
T.Reverse();
ON_Arc a;
rc = a.Create( P, T, start_point );
if ( rc )
{
a.Reverse();
m_arc = a;
}
else {
ON_3dPoint end_point = PointAt(Domain()[1]);
if (end_point.DistanceTo(start_point) < ON_ZERO_TOLERANCE*m_arc.Radius()){
//make arc into circle
m_arc.plane.xaxis = end_point - m_arc.Center();
m_arc.plane.xaxis.Unitize();
m_arc.plane.yaxis = ON_CrossProduct(m_arc.Normal(), m_arc.plane.xaxis);
m_arc.plane.yaxis.Unitize();
m_arc.SetAngleRadians(2.0*ON_PI);
rc = true;
}
}
}
return rc;
}
ON_BOOL32 ON_Torus::ClosestPointTo(
ON_3dPoint test_point,
double* major__angle_radians,
double* minor__angle_radians
) const
{
double major_angle_radians, minor_angle_radians;
const ON_Circle major_circle(plane,major_radius);
ON_BOOL32 rc = major_circle.ClosestPointTo( test_point, &major_angle_radians );
if ( rc && minor__angle_radians )
{
EVAL_SETUP_MAJOR;
ON_3dVector v = test_point - major_radius*raxis;
rc = v.Unitize();
if ( rc )
{
double sma = v*plane.zaxis;
double cma = v*raxis;
minor_angle_radians = atan2(sma,cma);
if ( minor_angle_radians < 0.0 )
minor_angle_radians += 2.0*ON_PI;
}
else
minor_angle_radians = 0.0;
*minor__angle_radians = minor_angle_radians;
}
if ( major__angle_radians )
*major__angle_radians = major_angle_radians;
return rc;
}
bool ON_PolyEdgeCurve::EvSrfTangent(
double t,
bool bIsoDir,
ON_3dPoint& srfpoint,
ON_3dVector& srftangent,
ON_3dVector& srfnormal
) const
{
ON_3dPoint srfpt;
ON_3dVector du, dv, duu, duv, dvv;
bool rc = EvSrfDerivatives(t,srfpoint,du,dv,duu,duv,dvv);
if (rc )
rc = ON_EvNormal( 0, du, dv, duu, duv, dvv, srfnormal ) ? true : false;
if (rc)
{
int segment_index = SegmentIndex(t);
ON_PolyEdgeSegment* seg = SegmentCurve(segment_index);
if ( seg )
{
if ( bIsoDir && seg->IsoType() == ON_Surface::not_iso )
bIsoDir = false;
ON_3dVector crvtangent = TangentAt(t);
ON_3dVector binormal = ON_CrossProduct(crvtangent,srfnormal);
binormal.Unitize();
if ( seg->ReversedTrimDir() )
binormal.Reverse();
// at this point, binormal points "out" and is tangent
// to the surface.
if ( bIsoDir )
{
du.Unitize();
dv.Unitize();
double B_dot_du = binormal*du;
double B_dot_dv = binormal*dv;
if ( fabs(B_dot_dv) > fabs(B_dot_du) )
{
if (B_dot_dv < 0.0)
dv.Reverse();
srftangent = dv;
}
else
{
if (B_dot_du < 0.0)
du.Reverse();
srftangent = du;
}
}
else
srftangent = binormal;
if ( seg && seg->m_face && seg->m_face->m_bRev )
srfnormal.Reverse();
}
else
rc = false;
}
return rc;
}
ON_3dVector ON_Ellipse::TangentAt(
double t // parameter
) const
{
ON_3dVector T = DerivativeAt( 1, t );
T.Unitize();
return T;
}
// ON_BoundingBox::MaximumDistance has a copy/paste bug in it in V4. Using local
// version of this function with the fix so things continue to work under V4 grasshopper
static double RhCmnMaxDistance_Helper(const ON_BoundingBox& bbox, const ON_3dPoint& P)
{
ON_3dVector V;
V.x = ( (P.x < 0.5*(bbox.m_min.x+bbox.m_max.x)) ? bbox.m_max.x : bbox.m_min.x) - P.x;
V.y = ( (P.y < 0.5*(bbox.m_min.y+bbox.m_max.y)) ? bbox.m_max.y : bbox.m_min.y) - P.y;
V.z = ( (P.z < 0.5*(bbox.m_min.z+bbox.m_max.z)) ? bbox.m_max.z : bbox.m_min.z) - P.z;
return V.Length();
}
int
ON_PlaneSurface::GetNurbForm( // returns 0: unable to create NURBS representation
// with desired accuracy.
// 1: success - returned NURBS parameterization
// matches the surface's to wthe desired accuracy
// 2: success - returned NURBS point locus matches
// the surfaces's to the desired accuracy but, on
// the interior of the surface's domain, the
// surface's parameterization and the NURBS
// parameterization may not match to the
// desired accuracy.
ON_NurbsSurface& nurbs,
double tolerance
) const
{
ON_BOOL32 rc = IsValid();
if( !rc )
{
if ( m_plane.origin.x != ON_UNSET_VALUE
&& m_plane.xaxis.x != ON_UNSET_VALUE
&& m_plane.yaxis.x != ON_UNSET_VALUE
&& m_domain[0].IsIncreasing() && m_domain[1].IsIncreasing()
&& m_extents[0].Length() > 0.0 && m_extents[1].Length() > 0.0
)
{
ON_3dVector N = ON_CrossProduct(m_plane.xaxis,m_plane.yaxis);
if ( N.Length() <= 1.0e-4 )
{
ON_WARNING("ON_PlaneSurface::GetNurbForm - using invalid surface.");
rc = true;
}
}
}
if ( rc )
{
nurbs.m_dim = 3;
nurbs.m_is_rat = 0;
nurbs.m_order[0] = nurbs.m_order[1] = 2;
nurbs.m_cv_count[0] = nurbs.m_cv_count[1] = 2;
nurbs.m_cv_stride[1] = nurbs.m_dim;
nurbs.m_cv_stride[0] = nurbs.m_cv_stride[1]*nurbs.m_cv_count[1];
nurbs.ReserveCVCapacity(12);
nurbs.ReserveKnotCapacity(0,2);
nurbs.ReserveKnotCapacity(1,2);
nurbs.m_knot[0][0] = m_domain[0][0];
nurbs.m_knot[0][1] = m_domain[0][1];
nurbs.m_knot[1][0] = m_domain[1][0];
nurbs.m_knot[1][1] = m_domain[1][1];
nurbs.SetCV( 0, 0, PointAt( m_domain[0][0], m_domain[1][0] ));
nurbs.SetCV( 0, 1, PointAt( m_domain[0][0], m_domain[1][1] ));
nurbs.SetCV( 1, 0, PointAt( m_domain[0][1], m_domain[1][0] ));
nurbs.SetCV( 1, 1, PointAt( m_domain[0][1], m_domain[1][1] ));
}
return rc;
}
ON_3dVector ON_Polyline::SegmentDirection( int segment_index ) const
{
ON_3dVector v;
if ( segment_index >= 0 && segment_index < m_count-1 ) {
v = m_a[segment_index+1] - m_a[segment_index];
}
else {
v.Zero();
}
return v;
}
bool ON_Cone::ClosestPointTo(
ON_3dPoint point,
double* radial_parameter,
double* height_parameter
) const
{
// untested code
bool rc = false;
ON_3dVector v = (point-plane.origin);
double x = v*plane.xaxis;
double y = v*plane.yaxis;
double z = v*plane.zaxis;
if ( radial_parameter )
{
double a = ( 0.0 == y && 0.0 == x ) ? 0.0 : atan2(y,x);
if (a > 2.0*ON_PI )
{
a -= 2.0*ON_PI;
}
if (a < 0.0 )
{
a += 2.0*ON_PI;
}
*radial_parameter = a;
}
if (height_parameter)
{
point.x -= plane.origin.x;
point.y -= plane.origin.y;
point.z -= plane.origin.z;
v.x = x;
v.y = y;
v.z = 0.0;
v.Unitize();
v.x *= radius;
v.y *= radius;
ON_Line line(ON_origin, v.x*plane.xaxis + v.y*plane.yaxis + height*plane.zaxis );
rc = line.ClosestPointTo(point,&z);
if (rc)
{
*height_parameter = z*height;
}
}
return rc;
}
ON_3dPoint ON_Torus::ClosestPointTo( ON_3dPoint test_point ) const
{
const ON_Circle major_circle(plane,major_radius);
ON_3dPoint C = major_circle.ClosestPointTo( test_point );
ON_3dVector v = test_point - C;
if ( !v.Unitize() )
{
v = C - plane.origin;
v.Unitize();
}
return C + minor_radius*v;
}
ON_3dPoint ON_Circle::ClosestPointTo( const ON_3dPoint& point ) const
{
ON_3dPoint P;
ON_3dVector V = plane.ClosestPointTo( point ) - Center();
if ( V.Unitize() ) {
V.Unitize();
P = Center() + Radius()*V;
}
else {
P = PointAt(0.0);
}
return P;
}
// Try to make up a 1st derivative if one is zero length
static void CookDerivativesHelper( ON_3dVector& du, ON_3dVector& dv, ON_3dVector& duu, ON_3dVector& duv, ON_3dVector& dvv)
{
bool du_ok = du.LengthSquared() > ON_SQRT_EPSILON;
bool dv_ok = dv.LengthSquared() > ON_SQRT_EPSILON;
if( !du_ok || !dv_ok)
{
ON_3dVector normal;
bool normal_ok = ON_EvNormal( 0, du, dv, duu, duv, dvv, normal ) ? true : false;
if( normal_ok)
normal_ok = normal.LengthSquared() > ON_SQRT_EPSILON;
if( normal_ok)
{
if(( !du_ok) && ( dv_ok && normal_ok))
{
du = ON_CrossProduct( dv, normal);
du_ok = du.Unitize();
du *= (0.00390625*dv.Length());
}
if( du_ok && ( !dv_ok) && normal_ok)
{
dv = ON_CrossProduct( normal, du);
dv_ok = dv.Unitize();
dv *= (0.00390625*du.Length());
}
}
}
}
ON_3dVector ON_Cone::NormalAt( double radial_parameter, double height_parameter ) const
{
double s = sin(radial_parameter);
double c = cos(radial_parameter);
if ( radius<0.) {
c = -c;
s = -s;
}
ON_3dVector ds = c*plane.yaxis - s*plane.xaxis;
ON_3dVector N = ON_CrossProduct( ((radius<0.0)?-ds:ds),
plane.PointAt(radius*c,radius*s,height) - plane.origin
);
N.Unitize();
return N;
}
bool ON_Plane::CreateFromFrame(
const ON_3dPoint& P, // point on the plane
const ON_3dVector& X, // non-zero vector in plane
const ON_3dVector& Y // another non-zero vector in the plane
)
{
origin = P;
xaxis = X;
xaxis.Unitize();
yaxis = Y - ON_DotProduct( Y, xaxis)*xaxis;
yaxis.Unitize();
zaxis = ON_CrossProduct( xaxis, yaxis );
bool b = zaxis.Unitize();
UpdateEquation();
if ( b )
{
// 11 February 2004 Dale Lear
// Add more validation checks.
b = IsValid();
if ( b )
{
// make sure zaxis is perp to Y
if ( fabs(Y*zaxis) > ON_SQRT_EPSILON*Y.Length() )
b = false;
}
}
return b;
}
ON_BOOL32 ON_Geometry::Translate( const ON_3dVector& delta )
{
if ( delta.IsZero() )
return true;
ON_Xform tr;
tr.Translation( delta );
return Transform( tr );
}
RH_C_FUNCTION ON_AngularDimension2* ON_AngularDimension2_New(ON_Arc* arc, double offset)
{
ON_AngularDimension2* rc = NULL;
if( arc )
{
rc = new ON_AngularDimension2();
ON_3dVector v = arc->StartPoint()-arc->Center();
v.Unitize();
ON_3dPoint apex = arc->Center();
ON_3dPoint p0 = arc->StartPoint();
ON_3dPoint p1 = arc->EndPoint();
ON_3dPoint arc_pt = p0 + ( v * offset );
ON_3dVector normal = arc->Normal();
rc->CreateFromPoints(apex, p0, p1, arc_pt, normal);
}
return rc;
}
bool ON_Localizer::CreatePlaneLocalizer( ON_3dPoint P, ON_3dVector N, double h0, double h1 )
{
Destroy();
if ( P.IsValid()
&& N.IsValid()
&& N.Length() > 0.0
&& ON_IsValid(h0)
&& ON_IsValid(h1)
&& h0 != h1 )
{
m_V = N;
m_V.Unitize();
m_P.Set( -(m_V.x*P.x + m_V.y*P.y + m_V.z*P.z), 0.0, 0.0 );
m_d.Set(h0,h1);
m_type = plane_type;
}
return (plane_type == m_type);
}
static
bool ON_BrepExtrudeHelper_CheckPathCurve( const ON_Curve& path_curve, ON_3dVector& path_vector )
{
ON_Line path_line;
path_line.from = path_curve.PointAtStart();
path_line.to = path_curve.PointAtEnd();
path_vector = path_line.Direction();
return ( path_vector.IsZero() ? false : true );
}
void arbaxis(const ON_3dVector& givenaxis, ON_3dVector& newaxis)
{
if(fabs(givenaxis[0]) < ARBBOUND && fabs(givenaxis[1]) < ARBBOUND) // near world z
newaxis = ON_CrossProduct(ON_yaxis, givenaxis);
else
newaxis = ON_CrossProduct(ON_zaxis, givenaxis);
newaxis.Unitize();
}
ON_Surface* ON_PlaneSurface::Offset(
double offset_distance,
double tolerance,
double* max_deviation
) const
{
if ( max_deviation )
*max_deviation = 0.0;
ON_PlaneSurface* offset_srf = new ON_PlaneSurface(*this);
ON_3dVector delta = offset_srf->m_plane.zaxis;
double d = delta.Length();
if ( fabs(1.0-d) <= ON_SQRT_EPSILON )
d = 1.0;
d = offset_distance/d;
offset_srf->m_plane.origin = offset_srf->m_plane.origin + (d*delta);
offset_srf->m_plane.UpdateEquation();
return offset_srf;
}
bool ON_Quaternion::GetRotation(double& angle, ON_3dVector& axis) const
{
const double s = Length();
angle = (s > ON_DBL_MIN) ? 2.0*acos(a/s) : 0.0;
axis.x = b;
axis.y = c;
axis.z = d;
return (axis.Unitize() && s > ON_DBL_MIN);
}
void ON_Quaternion::SetRotation(double angle, const ON_3dVector& axis)
{
double s = axis.Length();
s = (s > 0.0) ? sin(0.5*angle)/s : 0.0;
a = cos(0.5*angle);
b = s*axis.x;
c = s*axis.y;
d = s*axis.z;
}
int ON_Intersect( // returns 0 = no intersections,
// 1 = one intersection,
// 2 = 2 intersections
// If 0 is returned, first point is point
// on line closest to sphere and 2nd point is the point
// on the sphere closest to the line.
// If 1 is returned, first point is obtained by evaluating
// the line and the second point is obtained by evaluating
// the sphere.
const ON_Line& line, const ON_Sphere& sphere,
ON_3dPoint& A, ON_3dPoint& B // intersection point(s) returned here
)
{
int rc = 0;
const ON_3dPoint sphere_center = sphere.plane.origin;
const double sphere_radius = fabs(sphere.radius);
double tol = sphere_radius*ON_SQRT_EPSILON;
if ( tol < ON_ZERO_TOLERANCE )
tol = ON_ZERO_TOLERANCE;
ON_3dPoint line_center = line.ClosestPointTo(sphere_center);
double d = line_center.DistanceTo(sphere_center);
if ( d >= sphere_radius-tol ) {
rc = ( d <= sphere_radius-tol ) ? 1 : 0;
A = line_center;
B = sphere.ClosestPointTo(line_center);
}
else {
d /= sphere_radius;
double h = sphere_radius*sqrt(1.0 - d*d);
ON_3dVector V = line.Direction();
V.Unitize();
A = sphere.ClosestPointTo(line_center - h*V);
B = sphere.ClosestPointTo(line_center + h*V);
d = A.DistanceTo(B);
if ( d <= ON_ZERO_TOLERANCE ) {
A = line_center;
B = sphere.ClosestPointTo(line_center);
rc = 1;
}
else
rc = 2;
}
return rc;
}
bool ON_Line::InPlane( ON_Plane& plane, double tolerance ) const
{
const ON_3dVector v = to-from;
const bool bTinyX = fabs(v.x) <= tolerance;
const bool bTinyY = fabs(v.y) <= tolerance;
const bool bTinyZ = fabs(v.z) <= tolerance;
bool rc = true;
ON_3dVector X;
ON_3dVector Y;
if ( bTinyZ && ( !bTinyX || !bTinyY ) )
{
X = ON_xaxis;
Y = ON_yaxis;
}
else if ( bTinyX && ( !bTinyY || !bTinyZ ) )
{
X = ON_yaxis;
Y = ON_zaxis;
}
else if ( bTinyY && ( !bTinyZ || !bTinyX ) )
{
X = ON_zaxis;
Y = ON_xaxis;
}
else
{
X = v;
X.Unitize();
Y.PerpendicularTo(X);
if ( bTinyX && bTinyY && bTinyZ )
{
rc = false;
if ( X.IsZero() )
{
X = ON_xaxis;
Y = ON_yaxis;
}
}
}
plane.CreateFromFrame( from, X, Y );
return rc;
}
bool ON_Localizer::CreateCylinderLocalizer( ON_3dPoint P, ON_3dVector V, double r0, double r1 )
{
Destroy();
if ( P.IsValid()
&& V.IsValid()
&& V.Length() > 0.0
&& ON_IsValid(r0)
&& ON_IsValid(r1)
&& r0 > 0.0
&& r1 > 0.0
&& r0 != r1 )
{
m_P = P;
m_V = V;
m_V.Unitize();
m_d.Set(r0,r1);
m_type = cylinder_type;
}
return (cylinder_type == m_type);
}
static double Angle3d(const ON_3dVector& axis, ON_3dVector& from, const ON_3dVector& to)
{
ON_3dVector x = from, a = to;
x.Unitize();
a.Unitize();
ON_3dVector y = ON_CrossProduct(axis, from);
y.Unitize();
double cosa = x * a;
if(cosa > 1.0 - ON_SQRT_EPSILON)
return 0.0;
if(cosa < ON_SQRT_EPSILON - 1.0)
return ON_PI;
double sina = a * y;
return atan2(sina, cosa);
}
bool ON_Line::ClosestPointTo( const ON_3dPoint& point, double *t ) const
{
bool rc = false;
if ( t ) {
const ON_3dVector D = Direction();
const double DoD = D.LengthSquared();
if ( DoD > 0.0 ) {
if ( point.DistanceTo(from) <= point.DistanceTo(to) ) {
*t = ((point - from)*D)/DoD;
}
else {
*t = 1.0 + ((point - to)*D)/DoD;
}
rc = true;
}
else {
*t = 0.0;
}
}
return rc;
}