NSBezierPath_Polygons.m

//
//  NSBezierPath_Polygons.m
//  Polygons
//
//  Created by jcr on Mon Apr 29 2002.
//  Copyright (c) 2002 Apple Computer, Inc. All rights reserved.
//
 
#import "NSBezierPath_Polygons.h"
 
 
@implementation NSBezierPath (Polygons)
 
+ (NSBezierPath *) polygonWithSides:(unsigned int) sides
// Returns a regular polygon, inscribed in the unit circle with the given number of sides.
  {
  if (sides > 0) // Sanity check.  Must have at least one side..
    {  
    float theta = M_PI * 2;  //This makes a full circle in radians.  See Math.h for the defintion of M_PI
    float sliceAngle = theta / sides;
    int index = sides;
    NSBezierPath *path = [self bezierPath];
    
    [path moveToPoint:NSMakePoint(1.0, 0)];  // start at a point on the circle..
    
    while (--index)  // count down
      {
      theta -= sliceAngle;
      [path lineToPoint: NSMakePoint(cos(theta),sin(theta))];
      }
    [path closePath];  // This gets you a proper linejoin for the last segment.
    return path;
    }
  return nil;
  }
  
+ (NSBezierPath *) meshedPolygonWithSides:(unsigned int) sides
  {
  if (sides > 0)  // Sanity check.  Must have at least one side..
    {
    int index = sides;
    float theta = M_PI * 2;  //This makes a full circle in radians.  See Math.h for the defintion of M_PI
    float sliceAngle = theta / sides;
  
    NSPoint *perimeterPoints;
    NSBezierPath *path = [self bezierPath];
  
    perimeterPoints = alloca (sides * sizeof(NSPoint));  
  
    while (index--)
      {
      theta -= sliceAngle;
      perimeterPoints[index] = NSMakePoint(cos(theta),sin(theta));
      }
      
    index = sides;
    while (index--)
      {
      int subIndex = index;
        while (subIndex--)
          {
          [path moveToPoint:perimeterPoints[index]];
          [path lineToPoint:perimeterPoints[subIndex]];
          }
      }
    return path;
    }
  return nil;
  }
 
@end
 
@implementation NSBezierPath (drawAtPoint)
 
- (void) strokeAtPoint:(NSPoint) where inView:(NSView *) aView
// translates the origin of aView's coordinate system to the given point, strokes the reciever, and restores the origin
  {
  NSPoint 
    stashOrigin = [aView bounds].origin;
    
  [aView translateOriginToPoint:where];
  [self stroke];
  [aView setBoundsOrigin:stashOrigin];
  }
  
- (void) fillAtPoint:(NSPoint) where inView:(NSView *) aView
  {
  NSPoint
    stashOrigin = [aView bounds].origin;
  [aView translateOriginToPoint:where];
  [self fill];
  [aView setBoundsOrigin:stashOrigin];
  }
 
@end
 
 
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