RMFractalTileProjection.m
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//
// 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 <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 (!(self = [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)
{
@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.x < planetBounds.origin.x)
aPoint.x += planetBounds.size.width;
while (aPoint.x > (planetBounds.origin.x + planetBounds.size.width))
aPoint.x -= 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.x - planetBounds.origin.x) / planetBounds.size.width * limit;
// Unfortunately, y is indexed from the bottom left.. hence we have to translate it.
double y = (double)limit * ((planetBounds.origin.y - newPoint.y) / 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
{
float 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.y += 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]];
}
- (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