RMFractalTileProjection.m
6.05 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
//
// RMFractalTileProjection.m
//
// Copyright (c) 2008-2009, Route-Me Contributors
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// * Redistributions of source code must retain the above copyright notice, this
// list of conditions and the following disclaimer.
// * 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.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "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 OR CONTRIBUTORS BE
// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 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.
#import "RMFractalTileProjection.h"
#import "RMMercatorToScreenProjection.h"
#import "RMProjection.h"
#import <math.h>
@implementation RMFractalTileProjection
@synthesize maxZoom, minZoom;
@synthesize tileSideLength;
@synthesize planetBounds;
-(id) initFromProjection:(RMProjection*)projection tileSideLength:(NSUInteger)aTileSideLength maxZoom: (NSUInteger) aMaxZoom minZoom: (NSUInteger) aMinZoom
{
if (![super init])
return nil;
// We don't care about the rest of the projection... just the bounds is important.
planetBounds = [projection planetBounds];
if (planetBounds.size.width == 0.0f || planetBounds.size.height == 0.0f)
{
/// \bug magic string literals
@throw [NSException exceptionWithName:@"RMUnknownBoundsException"
reason:@"RMFractalTileProjection was initialised with a projection with unknown bounds"
userInfo:nil];
}
tileSideLength = aTileSideLength;
maxZoom = aMaxZoom;
minZoom = aMinZoom;
scaleFactor = log2(planetBounds.size.width / tileSideLength);
return self;
}
- (void) setTileSideLength: (NSUInteger) aTileSideLength
{
tileSideLength = aTileSideLength;
scaleFactor = log2(planetBounds.size.width / tileSideLength);
}
- (void) setMinZoom: (NSUInteger) aMinZoom
{
minZoom = aMinZoom;
}
- (void) setMaxZoom: (NSUInteger) aMaxZoom
{
maxZoom = aMaxZoom;
}
- (float) normaliseZoom: (float) zoom
{
float normalised_zoom = roundf(zoom);
if (normalised_zoom > maxZoom)
normalised_zoom = maxZoom;
if (normalised_zoom < minZoom)
normalised_zoom = minZoom;
return normalised_zoom;
}
- (float) limitFromNormalisedZoom: (float) zoom
{
return exp2f(zoom);
}
- (RMTile) normaliseTile: (RMTile) tile
{
// The mask contains a 1 for every valid x-coordinate bit.
uint32_t mask = 1;
for (int i = 0; i < tile.zoom; i++)
mask <<= 1;
mask -= 1;
tile.x &= mask;
// If the tile's y coordinate is off the screen
if (tile.y & (~mask))
{
return RMTileDummy();
}
return tile;
}
- (RMProjectedPoint) constrainPointHorizontally: (RMProjectedPoint) aPoint
{
while (aPoint.easting < planetBounds.origin.easting)
aPoint.easting += planetBounds.size.width;
while (aPoint.easting > (planetBounds.origin.easting + planetBounds.size.width))
aPoint.easting -= planetBounds.size.width;
return aPoint;
}
- (RMTilePoint) projectInternal: (RMProjectedPoint)aPoint normalisedZoom:(float)zoom limit:(float) limit
{
RMTilePoint tile;
RMProjectedPoint newPoint = [self constrainPointHorizontally:aPoint];
double x = (newPoint.easting - planetBounds.origin.easting) / planetBounds.size.width * limit;
// Unfortunately, y is indexed from the bottom left.. hence we have to translate it.
double y = (double)limit * ((planetBounds.origin.northing - newPoint.northing) / planetBounds.size.height + 1);
tile.tile.x = (uint32_t)x;
tile.tile.y = (uint32_t)y;
tile.tile.zoom = zoom;
tile.offset.x = (float)x - tile.tile.x;
tile.offset.y = (float)y - tile.tile.y;
return tile;
}
- (RMTilePoint) project: (RMProjectedPoint)aPoint atZoom:(float)zoom
{
float normalised_zoom = [self normaliseZoom:zoom];
float limit = [self limitFromNormalisedZoom:normalised_zoom];
return [self projectInternal:aPoint normalisedZoom:normalised_zoom limit:limit];
}
- (RMTileRect) projectRect: (RMProjectedRect)aRect atZoom:(float)zoom
{
/// \bug assignment of float to int, WTF?
int normalised_zoom = [self normaliseZoom:zoom];
float limit = [self limitFromNormalisedZoom:normalised_zoom];
RMTileRect tileRect;
// The origin for projectInternal will have to be the top left instead of the bottom left.
RMProjectedPoint topLeft = aRect.origin;
topLeft.northing += aRect.size.height;
tileRect.origin = [self projectInternal:topLeft normalisedZoom:normalised_zoom limit:limit];
tileRect.size.width = aRect.size.width / planetBounds.size.width * limit;
tileRect.size.height = aRect.size.height / planetBounds.size.height * limit;
return tileRect;
}
-(RMTilePoint) project: (RMProjectedPoint)aPoint atScale:(float)scale
{
return [self project:aPoint atZoom:[self calculateZoomFromScale:scale]];
}
-(RMTileRect) projectRect: (RMProjectedRect)aRect atScale:(float)scale
{
return [self projectRect:aRect atZoom:[self calculateZoomFromScale:scale]];
}
-(RMTileRect) project: (RMMercatorToScreenProjection*)screen;
{
return [self projectRect:[screen projectedBounds] atScale:[screen metersPerPixel]];
}
-(float) calculateZoomFromScale: (float) scale
{ // zoom = log2(bounds.width/tileSideLength) - log2(s)
return scaleFactor - log2(scale);
}
-(float) calculateNormalisedZoomFromScale: (float) scale
{
return [self normaliseZoom:[self calculateZoomFromScale:scale]];
}
-(float) calculateScaleFromZoom: (float) zoom
{
return planetBounds.size.width / tileSideLength / exp2(zoom);
}
@end