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#import "RNSVGPathMeasure.h"
#import "RNSVGBezierElement.h"
/* Some Bezier logic from PerformanceBezier */
/*
## License
<a rel="license" href="http://creativecommons.org/licenses/by/3.0/us/"><img alt="Creative Commons License"
style="border-width:0" src="https://i.creativecommons.org/l/by/3.0/us/88x31.png" /></a><br />This work is licensed
under a <a rel="license" href="http://creativecommons.org/licenses/by/3.0/us/">Creative Commons Attribution 3.0 United
States License</a>.
For attribution, please include:
1. Mention original author "Adam Wulf for Loose Leaf app"
2. Link to https://getlooseleaf.com/opensource/
3. Link to https://github.com/adamwulf/PerformanceBezier
*/
static CGFloat idealFlatness = (CGFloat).01;
/**
* returns the distance between two points
*/
static CGFloat distance(CGPoint p1, CGPoint p2)
{
CGFloat dx = p2.x - p1.x;
CGFloat dy = p2.y - p1.y;
return hypot(dx, dy);
}
// Subdivide a Bézier (specific division)
/*
* (c) 2004 Alastair J. Houghton
* All Rights Reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* 3. The name of the author of this software may not be used to endorse
* or promote products derived from the software without specific prior
* written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDER "AS IS" AND ANY EXPRESS
* OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
* IN NO EVENT SHALL THE COPYRIGHT OWNER BE LIABLE FOR ANY DIRECT, INDIRECT,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA OR PROFITS;
* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
* WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
* ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
*/
static void subdivideBezierAtT(const CGPoint bez[4], CGPoint bez1[4], CGPoint bez2[4], CGFloat t)
{
CGPoint q;
CGFloat mt = 1 - t;
bez1[0].x = bez[0].x;
bez1[0].y = bez[0].y;
bez2[3].x = bez[3].x;
bez2[3].y = bez[3].y;
q.x = mt * bez[1].x + t * bez[2].x;
q.y = mt * bez[1].y + t * bez[2].y;
bez1[1].x = mt * bez[0].x + t * bez[1].x;
bez1[1].y = mt * bez[0].y + t * bez[1].y;
bez2[2].x = mt * bez[2].x + t * bez[3].x;
bez2[2].y = mt * bez[2].y + t * bez[3].y;
bez1[2].x = mt * bez1[1].x + t * q.x;
bez1[2].y = mt * bez1[1].y + t * q.y;
bez2[1].x = mt * q.x + t * bez2[2].x;
bez2[1].y = mt * q.y + t * bez2[2].y;
bez1[3].x = bez2[0].x = mt * bez1[2].x + t * bez2[1].x;
bez1[3].y = bez2[0].y = mt * bez1[2].y + t * bez2[1].y;
}
@implementation RNSVGPathMeasure
- (void)addLine:(CGPoint *)last next:(const CGPoint *)next
{
NSArray *line = @[ [NSValue valueWithCGPoint:*last], [NSValue valueWithCGPoint:*next] ];
_pathLength += distance(*last, *next);
[_lengths addObject:[NSNumber numberWithDouble:_pathLength]];
[_lines addObject:line];
*last = *next;
}
- (void)reset
{
_lengths = nil;
_lines = nil;
_isClosed = NO;
_lineCount = 0;
_pathLength = 0;
_path = nil;
}
- (void)extractPathData:(CGPathRef)path
{
if (path == _path) {
return;
}
_path = path;
CGPoint origin = CGPointMake(0.0, 0.0);
CGPoint last = CGPointMake(0.0, 0.0);
_lengths = [NSMutableArray array];
_lines = [NSMutableArray array];
_isClosed = NO;
_lineCount = 0;
_pathLength = 0;
NSArray *elements = [RNSVGBezierElement elementsFromCGPath:path];
for (RNSVGBezierElement *element in elements) {
switch (element.elementType) {
case kCGPathElementMoveToPoint:
origin = last = element.point;
break;
case kCGPathElementAddLineToPoint: {
CGPoint next = element.point;
[self addLine:&last next:&next];
_lineCount++;
break;
}
case kCGPathElementAddQuadCurveToPoint:
case kCGPathElementAddCurveToPoint: {
// handle both curve types gracefully
CGPoint curveTo = element.point;
CGPoint ctrl1 = element.controlPoint1;
CGPoint ctrl2 = element.elementType == kCGPathElementAddQuadCurveToPoint ? ctrl1 : element.controlPoint2;
// this is the bezier for our current element
CGPoint bezier[4] = {last, ctrl1, ctrl2, curveTo};
NSValue *arr = [NSValue valueWithBytes:&bezier objCType:@encode(CGPoint[4])];
NSMutableArray *curves = [NSMutableArray arrayWithObjects:arr, nil];
for (NSInteger curveIndex = 0; curveIndex >= 0; curveIndex--) {
CGPoint bez[4];
[curves[curveIndex] getValue:&bez];
[curves removeLastObject];
// calculate the error rate of the curve vs
// a line segment between the start and end points
CGPoint ctrl1 = bez[1];
CGPoint ctrl2 = bez[2];
CGPoint next = bez[3];
CGFloat polyLen = distance(last, ctrl1) + distance(ctrl1, ctrl2) + distance(ctrl2, next);
CGFloat chordLen = distance(last, next);
CGFloat error = polyLen - chordLen;
// if the error is less than our accepted level of error
// then add a line, else, split the curve in half
if (error <= idealFlatness) {
[self addLine:&last next:&next];
_lineCount++;
} else {
CGPoint bez1[4], bez2[4];
subdivideBezierAtT(bez, bez1, bez2, .5);
[curves addObject:[NSValue valueWithBytes:&bez2 objCType:@encode(CGPoint[4])]];
[curves addObject:[NSValue valueWithBytes:&bez1 objCType:@encode(CGPoint[4])]];
curveIndex += 2;
}
}
break;
}
case kCGPathElementCloseSubpath: {
CGPoint next = origin;
[self addLine:&last next:&next];
_lineCount++;
_isClosed = YES;
break;
}
default:
break;
}
}
}
- (void)getPosAndTan:(CGFloat *)angle midPoint:(CGFloat)midPoint x:(CGFloat *)x y:(CGFloat *)y
{
// Investigation suggests binary search is faster at lineCount >= 16
// https://gist.github.com/msand/4c7993319425f9d7933be58ad9ada1a4
NSUInteger i = _lineCount < 16
? [_lengths indexOfObjectPassingTest:^(NSNumber *length, NSUInteger index, BOOL *_Nonnull stop) {
BOOL contains = midPoint <= [length doubleValue];
return contains;
}]
: [_lengths indexOfObject:[NSNumber numberWithDouble:midPoint]
inSortedRange:NSMakeRange(0, _lineCount)
options:NSBinarySearchingInsertionIndex
usingComparator:^(NSNumber *obj1, NSNumber *obj2) {
return [obj1 compare:obj2];
}];
CGFloat totalLength = (CGFloat)[_lengths[i] doubleValue];
CGFloat prevLength = i == 0 ? 0 : (CGFloat)[_lengths[i - 1] doubleValue];
CGFloat length = totalLength - prevLength;
CGFloat percent = (midPoint - prevLength) / length;
NSArray *points = [_lines objectAtIndex:i];
CGPoint p1 = [[points objectAtIndex:0] CGPointValue];
CGPoint p2 = [[points objectAtIndex:1] CGPointValue];
CGFloat ldx = p2.x - p1.x;
CGFloat ldy = p2.y - p1.y;
*angle = atan2(ldy, ldx);
*x = p1.x + ldx * percent;
*y = p1.y + ldy * percent;
}
@end