Difference between revisions of "User:Walter/favoriteslayout.py"
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(update for 0.82) |
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Line 19: | Line 19: | ||
import math | import math | ||
import hashlib | import hashlib | ||
+ | from gettext import gettext as _ | ||
import gobject | import gobject | ||
Line 35: | Line 36: | ||
class FavoritesLayout(gobject.GObject, hippo.CanvasLayout): | class FavoritesLayout(gobject.GObject, hippo.CanvasLayout): | ||
+ | """Base class of the different layout types.""" | ||
+ | |||
__gtype_name__ = 'FavoritesLayout' | __gtype_name__ = 'FavoritesLayout' | ||
Line 92: | Line 95: | ||
class RandomLayout(FavoritesLayout): | class RandomLayout(FavoritesLayout): | ||
+ | """Lay out icons randomly; try to nudge them around to resolve overlaps.""" | ||
+ | |||
__gtype_name__ = 'RandomLayout' | __gtype_name__ = 'RandomLayout' | ||
+ | |||
+ | icon_name = 'view-freeform' | ||
+ | """Name of icon used in home view dropdown palette.""" | ||
+ | |||
+ | profile_key = 'random-layout' | ||
+ | """String used in profile to represent this view.""" | ||
def __init__(self): | def __init__(self): | ||
Line 165: | Line 176: | ||
class RingLayout(FavoritesLayout): | class RingLayout(FavoritesLayout): | ||
+ | """Lay out icons in a ring around the XO man.""" | ||
+ | |||
__gtype_name__ = 'RingLayout' | __gtype_name__ = 'RingLayout' | ||
+ | icon_name = 'view-radial' | ||
+ | """Name of icon used in home view dropdown palette.""" | ||
+ | profile_key = 'ring-layout' | ||
+ | """String used in profile to represent this view.""" | ||
def __init__(self): | def __init__(self): | ||
Line 190: | Line 207: | ||
def _calculate_radius_and_icon_size(self, children_count): | def _calculate_radius_and_icon_size(self, children_count): | ||
− | |||
− | |||
# what's the radius required without downscaling? | # what's the radius required without downscaling? | ||
distance = style.STANDARD_ICON_SIZE + style.DEFAULT_SPACING | distance = style.STANDARD_ICON_SIZE + style.DEFAULT_SPACING | ||
icon_size = style.STANDARD_ICON_SIZE | icon_size = style.STANDARD_ICON_SIZE | ||
− | + | # circumference is 2*pi*r; we want this to be at least | |
− | + | # 'children_count * distance' | |
− | + | radius = children_count * distance / (2 * math.pi) | |
− | + | # limit computed radius to reasonable bounds. | |
− | + | radius = max(radius, _MINIMUM_RADIUS) | |
− | + | radius = min(radius, _MAXIMUM_RADIUS) | |
− | + | # recompute icon size from limited radius | |
− | + | if children_count > 0: | |
− | + | icon_size = (2 * math.pi * radius / children_count) \ | |
− | + | - style.DEFAULT_SPACING | |
− | + | # limit adjusted icon size. | |
− | + | icon_size = max(icon_size, style.SMALL_ICON_SIZE) | |
− | + | icon_size = min(icon_size, style.MEDIUM_ICON_SIZE) | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
return radius, icon_size | return radius, icon_size | ||
− | def _calculate_position(self, radius, icon_size, index, children_count): | + | def _calculate_position(self, radius, icon_size, index, children_count, |
+ | sin=math.sin, cos=math.cos): | ||
width, height = self.box.get_allocation() | width, height = self.box.get_allocation() | ||
− | + | angle = index * (2 * math.pi / children_count) - math.pi / 2 | |
− | + | x = radius * cos(angle) + (width - icon_size) / 2 | |
− | angle = index * (2 * math.pi / | + | y = radius * sin(angle) + (height - icon_size - |
− | + | (style.GRID_CELL_SIZE/2) ) / 2 | |
− | |||
− | |||
− | |||
− | |||
− | y = | ||
− | |||
return x, y | return x, y | ||
Line 236: | Line 240: | ||
def _update_icon_sizes(self): | def _update_icon_sizes(self): | ||
+ | # XXX: THIS METHOD IS NEVER CALLED | ||
children_in_ring = self._get_children_in_ring() | children_in_ring = self._get_children_in_ring() | ||
radius_, icon_size = \ | radius_, icon_size = \ | ||
Line 255: | Line 260: | ||
x, y = self._calculate_position(radius, icon_size, n, | x, y = self._calculate_position(radius, icon_size, n, | ||
len(children_in_ring)) | len(children_in_ring)) | ||
+ | |||
# We need to always get requests to not confuse hippo | # We need to always get requests to not confuse hippo | ||
min_w_, child_width = child.get_width_request() | min_w_, child_width = child.get_width_request() | ||
Line 261: | Line 267: | ||
child.allocate(int(x), int(y), child_width, child_height, | child.allocate(int(x), int(y), child_width, child_height, | ||
origin_changed) | origin_changed) | ||
− | + | child.item.props.size = icon_size | |
− | |||
− | |||
for child in self._locked_children.keys(): | for child in self._locked_children.keys(): | ||
Line 281: | Line 285: | ||
else: | else: | ||
return 0 | return 0 | ||
+ | |||
+ | _SUNFLOWER_CONSTANT = style.STANDARD_ICON_SIZE * .75 | ||
+ | """Chose a constant such that STANDARD_ICON_SIZE icons are nicely spaced.""" | ||
+ | |||
+ | _SUNFLOWER_OFFSET = \ | ||
+ | math.pow((style.XLARGE_ICON_SIZE / 2 + style.STANDARD_ICON_SIZE) / | ||
+ | _SUNFLOWER_CONSTANT, 2) | ||
+ | """ | ||
+ | Compute a starting index for the `SunflowerLayout` which leaves space for | ||
+ | the XO man in the center. Since r = _SUNFLOWER_CONSTANT * sqrt(n), | ||
+ | solve for n when r is (XLARGE_ICON_SIZE + STANDARD_ICON_SIZE)/2. | ||
+ | """ | ||
+ | |||
+ | _GOLDEN_RATIO = 1.6180339887498949 | ||
+ | """ | ||
+ | Golden ratio: http://en.wikipedia.org/wiki/Golden_ratio | ||
+ | Calculation: (math.sqrt(5) + 1) / 2 | ||
+ | """ | ||
+ | |||
+ | _SUNFLOWER_ANGLE = 2.3999632297286531 | ||
+ | """ | ||
+ | The sunflower angle is approximately 137.5 degrees. | ||
+ | This is the golden angle: http://en.wikipedia.org/wiki/Golden_angle | ||
+ | Calculation: math.radians(360) / ( _GOLDEN_RATIO * _GOLDEN_RATIO ) | ||
+ | """ | ||
+ | |||
+ | class SunflowerLayout(RingLayout): | ||
+ | """Spiral layout based on Fibonacci ratio in phyllotaxis. | ||
+ | |||
+ | See http://algorithmicbotany.org/papers/abop/abop-ch4.pdf | ||
+ | for details of Vogel's model of florets in a sunflower head.""" | ||
+ | |||
+ | __gtype_name__ = 'SunflowerLayout' | ||
+ | |||
+ | icon_name = 'view-spiral' | ||
+ | """Name of icon used in home view dropdown palette.""" | ||
+ | |||
+ | profile_key = 'spiral-layout' | ||
+ | """String used in profile to represent this view.""" | ||
+ | |||
+ | def __init__(self): | ||
+ | RingLayout.__init__(self) | ||
+ | self.skipped_indices = [] | ||
+ | |||
+ | def _calculate_radius_and_icon_size(self, children_count): | ||
+ | """Stub out this method; not used in `SunflowerLayout`.""" | ||
+ | return None, style.STANDARD_ICON_SIZE | ||
+ | |||
+ | def adjust_index(self, i): | ||
+ | """Skip floret indices which end up outside the desired bounding box.""" | ||
+ | for idx in self.skipped_indices: | ||
+ | if i < idx: break | ||
+ | i += 1 | ||
+ | return i | ||
+ | |||
+ | def _calculate_position(self, radius, icon_size, oindex, children_count): | ||
+ | """Calculate the position of sunflower floret number 'oindex'. | ||
+ | If the result is outside the bounding box, use the next index which | ||
+ | is inside the bounding box.""" | ||
+ | |||
+ | width, height = self.box.get_allocation() | ||
+ | |||
+ | while True: | ||
+ | |||
+ | index = self.adjust_index(oindex) | ||
+ | |||
+ | # tweak phi to get a nice gap lined up where the "active activity" | ||
+ | # icon is, below the central XO man. | ||
+ | phi = index * _SUNFLOWER_ANGLE + math.radians(-130) | ||
+ | |||
+ | # we offset index when computing r to make space for the XO man. | ||
+ | r = _SUNFLOWER_CONSTANT * math.sqrt(index + _SUNFLOWER_OFFSET) | ||
+ | |||
+ | # x,y are the top-left corner of the icon, so remove icon_size | ||
+ | # from width/height to compensate. y has an extra GRID_CELL_SIZE/2 | ||
+ | # removed to make room for the "active activity" icon. | ||
+ | x = r * math.cos(phi) + (width - icon_size) / 2 | ||
+ | y = r * math.sin(phi) + (height - icon_size - \ | ||
+ | (style.GRID_CELL_SIZE / 2) ) / 2 | ||
+ | |||
+ | # skip allocations outside the allocation box. | ||
+ | # give up once we can't fit | ||
+ | if r < math.hypot(width / 2, height / 2): | ||
+ | if y < 0 or y > (height - icon_size) or \ | ||
+ | x < 0 or x > (width - icon_size): | ||
+ | self.skipped_indices.append(index) | ||
+ | continue # try again | ||
+ | |||
+ | return x, y | ||
+ | |||
+ | class BoxLayout(RingLayout): | ||
+ | """Lay out icons in a square around the XO man.""" | ||
+ | |||
+ | __gtype_name__ = 'BoxLayout' | ||
+ | |||
+ | icon_name = 'view-box' | ||
+ | """Name of icon used in home view dropdown palette.""" | ||
+ | |||
+ | profile_key = 'box-layout' | ||
+ | """String used in profile to represent this view.""" | ||
+ | |||
+ | def __init__(self): | ||
+ | RingLayout.__init__(self) | ||
+ | |||
+ | def _calculate_position(self, radius, icon_size, index, children_count): | ||
+ | |||
+ | # use "orthogonal" versions of cos and sin in order to square the | ||
+ | # circle and turn the 'ring view' into a 'box view' | ||
+ | def cos_d(d): | ||
+ | while d < 0: | ||
+ | d += 360 | ||
+ | if d < 45: return 1 | ||
+ | if d < 135: return (90 - d) / 45. | ||
+ | if d < 225: return -1 | ||
+ | return cos_d(360 - d) # mirror around 180 | ||
+ | |||
+ | cos = lambda r: cos_d(math.degrees(r)) | ||
+ | sin = lambda r: cos_d(math.degrees(r) - 90) | ||
+ | |||
+ | return RingLayout._calculate_position\ | ||
+ | (self, radius, icon_size, index, children_count, | ||
+ | sin=sin, cos=cos) | ||
+ | |||
+ | class TriangleLayout(RingLayout): | ||
+ | """Lay out icons in a triangle around the XO man.""" | ||
+ | |||
+ | __gtype_name__ = 'TriangleLayout' | ||
+ | |||
+ | icon_name = 'view-triangle' | ||
+ | """Name of icon used in home view dropdown palette.""" | ||
+ | |||
+ | profile_key = 'triangle-layout' | ||
+ | """String used in profile to represent this view.""" | ||
+ | |||
+ | def __init__(self): | ||
+ | RingLayout.__init__(self) | ||
+ | |||
+ | def _calculate_radius_and_icon_size(self, children_count): | ||
+ | # use slightly larger minimum radius than parent, because sides | ||
+ | # of triangle come awful close to the center. | ||
+ | radius, icon_size = \ | ||
+ | RingLayout._calculate_radius_and_icon_size(self, children_count) | ||
+ | return max(radius, _MINIMUM_RADIUS + style.MEDIUM_ICON_SIZE), icon_size | ||
+ | |||
+ | def _calculate_position(self, radius, icon_size, index, children_count): | ||
+ | # tweak cos and sin in order to make the 'ring' into an equilateral | ||
+ | # triangle. | ||
+ | |||
+ | def cos_d(d): | ||
+ | while d < -90: | ||
+ | d += 360 | ||
+ | if d <= 30: return (d + 90) / 120. | ||
+ | if d <= 90: return (90 - d) / 60. | ||
+ | return -cos_d(180 - d) # mirror around 90 | ||
+ | |||
+ | sqrt_3 = math.sqrt(3) | ||
+ | |||
+ | def sin_d(d): | ||
+ | while d < -90: | ||
+ | d += 360 | ||
+ | if d <= 30: return ((d + 90) / 120.) * sqrt_3 - 1 | ||
+ | if d <= 90: return sqrt_3 - 1 | ||
+ | return sin_d(180 - d) # mirror around 90 | ||
+ | |||
+ | cos = lambda r: cos_d(math.degrees(r)) | ||
+ | sin = lambda r: sin_d(math.degrees(r)) | ||
+ | |||
+ | return RingLayout._calculate_position\ | ||
+ | (self, radius, icon_size, index, children_count, | ||
+ | sin=sin, cos=cos) | ||
+ | |||
+ | class MyLayout(RingLayout): | ||
+ | """Spiral layout based on Archimedean spiral: r = a + b*theta.""" | ||
+ | |||
+ | __gtype_name__ = 'MyLayout' | ||
+ | |||
+ | icon_name = 'view-mylayout' | ||
+ | """Name of icon used in home view dropdown palette.""" | ||
+ | |||
+ | profile_key = 'my-layout' | ||
+ | """String used in profile to represent this view.""" | ||
+ | |||
+ | def __init__(self): | ||
+ | RingLayout.__init__(self) | ||
+ | |||
+ | def _calculate_radius_and_icon_size(self, children_count): | ||
+ | """Stub out this method; not used in `My Layout`.""" | ||
+ | return None, style.STANDARD_ICON_SIZE | ||
+ | |||
+ | def _calculate_position(self, radius, icon_size, index, children_count): | ||
+ | """ Increment the radius as you go; decrease the angle of rotation | ||
+ | as the radius increases to keep the distance between icons constant.""" | ||
+ | width, height = self.box.get_allocation() | ||
+ | # angle decreases as the radius increases | ||
+ | angle = index * (2 * math.pi / (12.0 + index / 6.0)) - math.pi / 2 | ||
+ | # radius is proportional to index/children_count | ||
+ | myminimum = _MINIMUM_RADIUS * .67 | ||
+ | newradius = ((_MAXIMUM_RADIUS - myminimum) * (index * 1.1) / children_count) + myminimum | ||
+ | x = newradius * math.cos(angle) + (width - icon_size) / 2 | ||
+ | y = newradius * math.sin(angle) + (height - icon_size - style.GRID_CELL_SIZE) / 2 | ||
+ | return x, y | ||
</pre> | </pre> |
Revision as of 19:03, 13 October 2008
# Copyright (C) 2008 One Laptop Per Child # # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2 of the License, or # (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program; if not, write to the Free Software # Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA import logging import math import hashlib from gettext import gettext as _ import gobject import gtk import hippo from sugar.graphics import style from sugar import activity from view.home.grid import Grid _logger = logging.getLogger('FavoritesLayout') _CELL_SIZE = 4 _BASE_SCALE = 1000 class FavoritesLayout(gobject.GObject, hippo.CanvasLayout): """Base class of the different layout types.""" __gtype_name__ = 'FavoritesLayout' def __init__(self): gobject.GObject.__init__(self) self.box = None self.fixed_positions = {} def do_set_box(self, box): self.box = box def do_get_height_request(self, for_width): return 0, gtk.gdk.screen_height() - style.GRID_CELL_SIZE def do_get_width_request(self): return 0, gtk.gdk.screen_width() def compare_activities(self, icon_a, icon_b): return 0 def append(self, icon, locked=False): self.box.insert_sorted(icon, 0, self.compare_activities) if hasattr(icon, 'fixed_position'): relative_x, relative_y = icon.fixed_position if relative_x >= 0 and relative_y >= 0: min_width_, width = self.box.get_width_request() min_height_, height = self.box.get_height_request(width) self.fixed_positions[icon] = \ (int(relative_x * _BASE_SCALE / float(width)), int(relative_y * _BASE_SCALE / float(height))) def remove(self, icon): if icon in self.fixed_positions: del self.fixed_positions[icon] self.box.remove(icon) def move_icon(self, icon, x, y, locked=False): if icon not in self.box.get_children(): raise ValueError('Child not in box.') if hasattr(icon, 'get_bundle_id') and hasattr(icon, 'get_version'): min_width_, width = self.box.get_width_request() min_height_, height = self.box.get_height_request(width) registry = activity.get_registry() registry.set_activity_position( icon.get_bundle_id(), icon.get_version(), x * width / float(_BASE_SCALE), y * height / float(_BASE_SCALE)) self.fixed_positions[icon] = (x, y) def do_allocate(self, x, y, width, height, req_width, req_height, origin_changed): raise NotImplementedError() def allow_dnd(self): return False class RandomLayout(FavoritesLayout): """Lay out icons randomly; try to nudge them around to resolve overlaps.""" __gtype_name__ = 'RandomLayout' icon_name = 'view-freeform' """Name of icon used in home view dropdown palette.""" profile_key = 'random-layout' """String used in profile to represent this view.""" def __init__(self): FavoritesLayout.__init__(self) min_width_, width = self.do_get_width_request() min_height_, height = self.do_get_height_request(width) self._grid = Grid(width / _CELL_SIZE, height / _CELL_SIZE) self._grid.connect('child-changed', self.__grid_child_changed_cb) def __grid_child_changed_cb(self, grid, child): child.emit_request_changed() def append(self, icon, locked=False): FavoritesLayout.append(self, icon, locked) min_width_, child_width = icon.get_width_request() min_height_, child_height = icon.get_height_request(child_width) min_width_, width = self.box.get_width_request() min_height_, height = self.box.get_height_request(width) if icon in self.fixed_positions: x, y = self.fixed_positions[icon] x = min(x, width - child_width) y = min(y, height - child_height) elif hasattr(icon, 'get_bundle_id'): name_hash = hashlib.md5(icon.get_bundle_id()) x = int(name_hash.hexdigest()[:5], 16) % (width - child_width) y = int(name_hash.hexdigest()[-5:], 16) % (height - child_height) else: x = None y = None if x is None or y is None: self._grid.add(icon, child_width / _CELL_SIZE, child_height / _CELL_SIZE) else: self._grid.add(icon, child_width / _CELL_SIZE, child_height / _CELL_SIZE, x / _CELL_SIZE, y / _CELL_SIZE) def remove(self, icon): self._grid.remove(icon) FavoritesLayout.remove(self, icon) def move_icon(self, icon, x, y, locked=False): self._grid.move(icon, x / _CELL_SIZE, y / _CELL_SIZE, locked) FavoritesLayout.move_icon(self, icon, x, y, locked) def do_allocate(self, x, y, width, height, req_width, req_height, origin_changed): for child in self.box.get_layout_children(): # We need to always get requests to not confuse hippo min_w_, child_width = child.get_width_request() min_h_, child_height = child.get_height_request(child_width) rect = self._grid.get_child_rect(child.item) child.allocate(rect.x * _CELL_SIZE, rect.y * _CELL_SIZE, child_width, child_height, origin_changed) def allow_dnd(self): return True _MINIMUM_RADIUS = style.XLARGE_ICON_SIZE / 2 + style.DEFAULT_SPACING + \ style.STANDARD_ICON_SIZE * 2 _MAXIMUM_RADIUS = (gtk.gdk.screen_height() - style.GRID_CELL_SIZE) / 2 - \ style.STANDARD_ICON_SIZE - style.DEFAULT_SPACING class RingLayout(FavoritesLayout): """Lay out icons in a ring around the XO man.""" __gtype_name__ = 'RingLayout' icon_name = 'view-radial' """Name of icon used in home view dropdown palette.""" profile_key = 'ring-layout' """String used in profile to represent this view.""" def __init__(self): FavoritesLayout.__init__(self) self._locked_children = {} def append(self, icon, locked=False): FavoritesLayout.append(self, icon, locked) if locked: child = self.box.find_box_child(icon) self._locked_children[child] = (0, 0) def remove(self, icon): child = self.box.find_box_child(icon) if child in self._locked_children: del self._locked_children[child] FavoritesLayout.remove(self, icon) def move_icon(self, icon, x, y, locked=False): FavoritesLayout.move_icon(self, icon, x, y, locked) if locked: child = self.box.find_box_child(icon) self._locked_children[child] = (x, y) def _calculate_radius_and_icon_size(self, children_count): # what's the radius required without downscaling? distance = style.STANDARD_ICON_SIZE + style.DEFAULT_SPACING icon_size = style.STANDARD_ICON_SIZE # circumference is 2*pi*r; we want this to be at least # 'children_count * distance' radius = children_count * distance / (2 * math.pi) # limit computed radius to reasonable bounds. radius = max(radius, _MINIMUM_RADIUS) radius = min(radius, _MAXIMUM_RADIUS) # recompute icon size from limited radius if children_count > 0: icon_size = (2 * math.pi * radius / children_count) \ - style.DEFAULT_SPACING # limit adjusted icon size. icon_size = max(icon_size, style.SMALL_ICON_SIZE) icon_size = min(icon_size, style.MEDIUM_ICON_SIZE) return radius, icon_size def _calculate_position(self, radius, icon_size, index, children_count, sin=math.sin, cos=math.cos): width, height = self.box.get_allocation() angle = index * (2 * math.pi / children_count) - math.pi / 2 x = radius * cos(angle) + (width - icon_size) / 2 y = radius * sin(angle) + (height - icon_size - (style.GRID_CELL_SIZE/2) ) / 2 return x, y def _get_children_in_ring(self): children_in_ring = [child for child in self.box.get_layout_children() \ if child not in self._locked_children] return children_in_ring def _update_icon_sizes(self): # XXX: THIS METHOD IS NEVER CALLED children_in_ring = self._get_children_in_ring() radius_, icon_size = \ self._calculate_radius_and_icon_size(len(children_in_ring)) for child in children_in_ring: child.item.props.size = icon_size def do_allocate(self, x, y, width, height, req_width, req_height, origin_changed): children_in_ring = self._get_children_in_ring() if children_in_ring: radius, icon_size = \ self._calculate_radius_and_icon_size(len(children_in_ring)) for n in range(len(children_in_ring)): child = children_in_ring[n] x, y = self._calculate_position(radius, icon_size, n, len(children_in_ring)) # We need to always get requests to not confuse hippo min_w_, child_width = child.get_width_request() min_h_, child_height = child.get_height_request(child_width) child.allocate(int(x), int(y), child_width, child_height, origin_changed) child.item.props.size = icon_size for child in self._locked_children.keys(): x, y = self._locked_children[child] # We need to always get requests to not confuse hippo min_w_, child_width = child.get_width_request() min_h_, child_height = child.get_height_request(child_width) child.allocate(int(x), int(y), child_width, child_height, origin_changed) def compare_activities(self, icon_a, icon_b): if hasattr(icon_a, 'installation_time') and \ hasattr(icon_b, 'installation_time'): return icon_b.installation_time - icon_a.installation_time else: return 0 _SUNFLOWER_CONSTANT = style.STANDARD_ICON_SIZE * .75 """Chose a constant such that STANDARD_ICON_SIZE icons are nicely spaced.""" _SUNFLOWER_OFFSET = \ math.pow((style.XLARGE_ICON_SIZE / 2 + style.STANDARD_ICON_SIZE) / _SUNFLOWER_CONSTANT, 2) """ Compute a starting index for the `SunflowerLayout` which leaves space for the XO man in the center. Since r = _SUNFLOWER_CONSTANT * sqrt(n), solve for n when r is (XLARGE_ICON_SIZE + STANDARD_ICON_SIZE)/2. """ _GOLDEN_RATIO = 1.6180339887498949 """ Golden ratio: http://en.wikipedia.org/wiki/Golden_ratio Calculation: (math.sqrt(5) + 1) / 2 """ _SUNFLOWER_ANGLE = 2.3999632297286531 """ The sunflower angle is approximately 137.5 degrees. This is the golden angle: http://en.wikipedia.org/wiki/Golden_angle Calculation: math.radians(360) / ( _GOLDEN_RATIO * _GOLDEN_RATIO ) """ class SunflowerLayout(RingLayout): """Spiral layout based on Fibonacci ratio in phyllotaxis. See http://algorithmicbotany.org/papers/abop/abop-ch4.pdf for details of Vogel's model of florets in a sunflower head.""" __gtype_name__ = 'SunflowerLayout' icon_name = 'view-spiral' """Name of icon used in home view dropdown palette.""" profile_key = 'spiral-layout' """String used in profile to represent this view.""" def __init__(self): RingLayout.__init__(self) self.skipped_indices = [] def _calculate_radius_and_icon_size(self, children_count): """Stub out this method; not used in `SunflowerLayout`.""" return None, style.STANDARD_ICON_SIZE def adjust_index(self, i): """Skip floret indices which end up outside the desired bounding box.""" for idx in self.skipped_indices: if i < idx: break i += 1 return i def _calculate_position(self, radius, icon_size, oindex, children_count): """Calculate the position of sunflower floret number 'oindex'. If the result is outside the bounding box, use the next index which is inside the bounding box.""" width, height = self.box.get_allocation() while True: index = self.adjust_index(oindex) # tweak phi to get a nice gap lined up where the "active activity" # icon is, below the central XO man. phi = index * _SUNFLOWER_ANGLE + math.radians(-130) # we offset index when computing r to make space for the XO man. r = _SUNFLOWER_CONSTANT * math.sqrt(index + _SUNFLOWER_OFFSET) # x,y are the top-left corner of the icon, so remove icon_size # from width/height to compensate. y has an extra GRID_CELL_SIZE/2 # removed to make room for the "active activity" icon. x = r * math.cos(phi) + (width - icon_size) / 2 y = r * math.sin(phi) + (height - icon_size - \ (style.GRID_CELL_SIZE / 2) ) / 2 # skip allocations outside the allocation box. # give up once we can't fit if r < math.hypot(width / 2, height / 2): if y < 0 or y > (height - icon_size) or \ x < 0 or x > (width - icon_size): self.skipped_indices.append(index) continue # try again return x, y class BoxLayout(RingLayout): """Lay out icons in a square around the XO man.""" __gtype_name__ = 'BoxLayout' icon_name = 'view-box' """Name of icon used in home view dropdown palette.""" profile_key = 'box-layout' """String used in profile to represent this view.""" def __init__(self): RingLayout.__init__(self) def _calculate_position(self, radius, icon_size, index, children_count): # use "orthogonal" versions of cos and sin in order to square the # circle and turn the 'ring view' into a 'box view' def cos_d(d): while d < 0: d += 360 if d < 45: return 1 if d < 135: return (90 - d) / 45. if d < 225: return -1 return cos_d(360 - d) # mirror around 180 cos = lambda r: cos_d(math.degrees(r)) sin = lambda r: cos_d(math.degrees(r) - 90) return RingLayout._calculate_position\ (self, radius, icon_size, index, children_count, sin=sin, cos=cos) class TriangleLayout(RingLayout): """Lay out icons in a triangle around the XO man.""" __gtype_name__ = 'TriangleLayout' icon_name = 'view-triangle' """Name of icon used in home view dropdown palette.""" profile_key = 'triangle-layout' """String used in profile to represent this view.""" def __init__(self): RingLayout.__init__(self) def _calculate_radius_and_icon_size(self, children_count): # use slightly larger minimum radius than parent, because sides # of triangle come awful close to the center. radius, icon_size = \ RingLayout._calculate_radius_and_icon_size(self, children_count) return max(radius, _MINIMUM_RADIUS + style.MEDIUM_ICON_SIZE), icon_size def _calculate_position(self, radius, icon_size, index, children_count): # tweak cos and sin in order to make the 'ring' into an equilateral # triangle. def cos_d(d): while d < -90: d += 360 if d <= 30: return (d + 90) / 120. if d <= 90: return (90 - d) / 60. return -cos_d(180 - d) # mirror around 90 sqrt_3 = math.sqrt(3) def sin_d(d): while d < -90: d += 360 if d <= 30: return ((d + 90) / 120.) * sqrt_3 - 1 if d <= 90: return sqrt_3 - 1 return sin_d(180 - d) # mirror around 90 cos = lambda r: cos_d(math.degrees(r)) sin = lambda r: sin_d(math.degrees(r)) return RingLayout._calculate_position\ (self, radius, icon_size, index, children_count, sin=sin, cos=cos) class MyLayout(RingLayout): """Spiral layout based on Archimedean spiral: r = a + b*theta.""" __gtype_name__ = 'MyLayout' icon_name = 'view-mylayout' """Name of icon used in home view dropdown palette.""" profile_key = 'my-layout' """String used in profile to represent this view.""" def __init__(self): RingLayout.__init__(self) def _calculate_radius_and_icon_size(self, children_count): """Stub out this method; not used in `My Layout`.""" return None, style.STANDARD_ICON_SIZE def _calculate_position(self, radius, icon_size, index, children_count): """ Increment the radius as you go; decrease the angle of rotation as the radius increases to keep the distance between icons constant.""" width, height = self.box.get_allocation() # angle decreases as the radius increases angle = index * (2 * math.pi / (12.0 + index / 6.0)) - math.pi / 2 # radius is proportional to index/children_count myminimum = _MINIMUM_RADIUS * .67 newradius = ((_MAXIMUM_RADIUS - myminimum) * (index * 1.1) / children_count) + myminimum x = newradius * math.cos(angle) + (width - icon_size) / 2 y = newradius * math.sin(angle) + (height - icon_size - style.GRID_CELL_SIZE) / 2 return x, y