text: /*=========================================================================
    Program:   OsiriX
  
    Copyright (c) OsiriX Team
    All rights reserved.
    Distributed under GNU - LGPL
    
    See http://www.osirix-viewer.com/copyright.html for details.
  
       This software is distributed WITHOUT ANY WARRANTY; without even
       the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
       PURPOSE.
  =========================================================================*/
  
  #import "N3Geometry.h"
  #import "N3BezierCore.h"
  #import "N3BezierCoreAdditions.h"
  
  // N3BezierDefaultFlatness and N3BezierDefaultSubdivideSegmentLength are defined in N3BezierCore.h
  // N3BezierNodeStyle is defined in N3BezierCoreAdditions.h
  
  @class NSBezierPath;
  
  enum _N3BezierPathElement {
      N3MoveToBezierPathElement,
      N3LineToBezierPathElement,
      N3CurveToBezierPathElement,
  	N3CloseBezierPathElement
  };
  typedef NSInteger N3BezierPathElement;
  
  @interface N3BezierPath : NSObject <NSCopying, NSMutableCopying, NSCoding, NSFastEnumeration> // fast enumeration returns NSValues of the endpoints
  {
      N3MutableBezierCoreRef _bezierCore;
  	CGFloat _length;
      N3BezierCoreRandomAccessorRef _bezierCoreRandomAccessor;
  }
  
  - (id)init;
  - (id)initWithBezierPath:(N3BezierPath *)bezierPath;
  - (id)initWithDictionaryRepresentation:(NSDictionary *)dict;
  - (id)initWithN3BezierCore:(N3BezierCoreRef)bezierCore;
  - (id)initWithNodeArray:(NSArray *)nodes style:(N3BezierNodeStyle)style; // array of N3Vectors in NSValues;
  
  + (id)bezierPath;
  + (id)bezierPathWithBezierPath:(N3BezierPath *)bezierPath;
  + (id)bezierPathN3BezierCore:(N3BezierCoreRef)bezierCore;
  
  - (BOOL)isEqualToBezierPath:(N3BezierPath *)bezierPath;
  
  - (N3BezierPath *)bezierPathByFlattening:(CGFloat)flatness;
  - (N3BezierPath *)bezierPathBySubdividing:(CGFloat)maxSegmentLength;
  - (N3BezierPath *)bezierPathByApplyingTransform:(N3AffineTransform)transform;
  - (N3BezierPath *)bezierPathByAppendingBezierPath:(N3BezierPath *)bezierPath connectPaths:(BOOL)connectPaths;
  - (N3BezierPath *)bezierPathByAddingEndpointsAtIntersectionsWithPlane:(N3Plane)plane; // will  flatten the path if it is not already flattened
  - (N3BezierPath *)outlineBezierPathAtDistance:(CGFloat)distance initialNormal:(N3Vector)initalNormal spacing:(CGFloat)spacing;
  
  - (NSInteger)elementCount;
  - (CGFloat)length;
  - (CGFloat)lengthThroughElementAtIndex:(NSInteger)element; // the length of the curve up to and including the element at index
  - (N3BezierCoreRef)N3BezierCore;
  - (NSDictionary *)dictionaryRepresentation;
  - (N3Vector)vectorAtStart;
  - (N3Vector)vectorAtEnd;
  - (N3Vector)tangentAtStart;
  - (N3Vector)tangentAtEnd;
  - (N3Vector)normalAtEndWithInitialNormal:(N3Vector)initialNormal;
  - (N3BezierPathElement)elementAtIndex:(NSInteger)index;
  - (N3BezierPathElement)elementAtIndex:(NSInteger)index control1:(N3VectorPointer)control1 control2:(N3VectorPointer)control2 endpoint:(N3VectorPointer)endpoint; // Warning: differs from NSBezierPath in that controlVector2 is is not always the end
  
  // extra functions to help with rendering and such
  - (N3Vector)vectorAtRelativePosition:(CGFloat)relativePosition; // RelativePosition is in [0, 1]
  - (N3Vector)tangentAtRelativePosition:(CGFloat)relativePosition;
  - (N3Vector)normalAtRelativePosition:(CGFloat)relativePosition initialNormal:(N3Vector)initialNormal;
  
  - (CGFloat)relalativePositionClosestToVector:(N3Vector)vector;
  - (CGFloat)relalativePositionClosestToLine:(N3Line)line;
  - (CGFloat)relalativePositionClosestToLine:(N3Line)line closestVector:(N3VectorPointer)vectorPointer;
  - (N3BezierPath *)bezierPathByCollapsingZ;
  
  - (NSArray*)intersectionsWithPlane:(N3Plane)plane; // returns NSValues containing N3Vectors of the intersections.
  - (NSArray*)intersectionsWithPlane:(N3Plane)plane relativePositions:(NSArray **)returnedRelativePositions;
  
  @end
  
  
  @interface N3MutableBezierPath : N3BezierPath
  {
  }
  
  - (void)moveToVector:(N3Vector)vector;
  - (void)lineToVector:(N3Vector)vector;
  - (void)curveToVector:(N3Vector)vector controlVector1:(N3Vector)controlVector1 controlVector2:(N3Vector)controlVector2;
  - (void)close;
  - (void)flatten:(CGFloat)flatness;
  - (void)subdivide:(CGFloat)maxSegmentLength;
  - (void)applyAffineTransform:(N3AffineTransform)transform;
  - (void)appendBezierPath:(N3BezierPath *)bezierPath connectPaths:(BOOL)connectPaths;
  - (void)addEndpointsAtIntersectionsWithPlane:(N3Plane)plane; // will  flatten the path if it is not already flattened
  - (void)setVectorsForElementAtIndex:(NSInteger)index control1:(N3Vector)control1 control2:(N3Vector)control2 endpoint:(N3Vector)endpoint;
  
  @end
  
  
  
  