/*************************************************************************/ /* godot_content_view.mm */ /*************************************************************************/ /* This file is part of: */ /* GODOT ENGINE */ /* https://godotengine.org */ /*************************************************************************/ /* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */ /* Copyright (c) 2014-2022 Godot Engine contributors (cf. AUTHORS.md). */ /* */ /* Permission is hereby granted, free of charge, to any person obtaining */ /* a copy of this software and associated documentation files (the */ /* "Software"), to deal in the Software without restriction, including */ /* without limitation the rights to use, copy, modify, merge, publish, */ /* distribute, sublicense, and/or sell copies of the Software, and to */ /* permit persons to whom the Software is furnished to do so, subject to */ /* the following conditions: */ /* */ /* The above copyright notice and this permission notice shall be */ /* included in all copies or substantial portions of the Software. */ /* */ /* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */ /* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */ /* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/ /* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */ /* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */ /* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */ /* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ /*************************************************************************/ #include "godot_content_view.h" #include "display_server_osx.h" #include "key_mapping_osx.h" @implementation GodotContentView - (id)init { self = [super init]; window_id = DisplayServer::INVALID_WINDOW_ID; tracking_area = nil; ime_input_event_in_progress = false; mouse_down_control = false; ignore_momentum_scroll = false; [self updateTrackingAreas]; if (@available(macOS 10.13, *)) { [self registerForDraggedTypes:[NSArray arrayWithObject:NSPasteboardTypeFileURL]]; #if !defined(__aarch64__) // Do not build deprectead 10.13 code on ARM. } else { [self registerForDraggedTypes:[NSArray arrayWithObject:NSFilenamesPboardType]]; #endif } marked_text = [[NSMutableAttributedString alloc] init]; return self; } - (void)setWindowID:(DisplayServerOSX::WindowID)wid { window_id = wid; } // MARK: Backing Layer - (CALayer *)makeBackingLayer { return [[CAMetalLayer class] layer]; } - (void)updateLayer { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); ds->window_update(window_id); [super updateLayer]; } - (BOOL)wantsUpdateLayer { return YES; } - (BOOL)isOpaque { return YES; } // MARK: IME - (BOOL)hasMarkedText { return (marked_text.length > 0); } - (NSRange)markedRange { return NSMakeRange(0, marked_text.length); } - (NSRange)selectedRange { static const NSRange kEmptyRange = { NSNotFound, 0 }; return kEmptyRange; } - (void)setMarkedText:(id)aString selectedRange:(NSRange)selectedRange replacementRange:(NSRange)replacementRange { if ([aString isKindOfClass:[NSAttributedString class]]) { marked_text = [[NSMutableAttributedString alloc] initWithAttributedString:aString]; } else { marked_text = [[NSMutableAttributedString alloc] initWithString:aString]; } if (marked_text.length == 0) { [self unmarkText]; return; } DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); if (wd.im_active) { ime_input_event_in_progress = true; ds->update_im_text(Point2i(selectedRange.location, selectedRange.length), String::utf8([[marked_text mutableString] UTF8String])); } } - (void)doCommandBySelector:(SEL)aSelector { [self tryToPerform:aSelector with:self]; } - (void)unmarkText { ime_input_event_in_progress = false; [[marked_text mutableString] setString:@""]; DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); if (wd.im_active) { ds->update_im_text(Point2i(), String()); } } - (NSArray *)validAttributesForMarkedText { return [NSArray array]; } - (NSAttributedString *)attributedSubstringForProposedRange:(NSRange)aRange actualRange:(NSRangePointer)actualRange { return nil; } - (NSUInteger)characterIndexForPoint:(NSPoint)aPoint { return 0; } - (NSRect)firstRectForCharacterRange:(NSRange)aRange actualRange:(NSRangePointer)actualRange { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return NSMakeRect(0, 0, 0, 0); } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); const NSRect content_rect = [wd.window_view frame]; const float scale = ds->screen_get_max_scale(); NSRect point_in_window_rect = NSMakeRect(wd.im_position.x / scale, content_rect.size.height - (wd.im_position.y / scale) - 1, 0, 0); NSPoint point_on_screen = [wd.window_object convertRectToScreen:point_in_window_rect].origin; return NSMakeRect(point_on_screen.x, point_on_screen.y, 0, 0); } - (void)cancelComposition { [self unmarkText]; [[NSTextInputContext currentInputContext] discardMarkedText]; } - (void)insertText:(id)aString { [self insertText:aString replacementRange:NSMakeRange(0, 0)]; } - (void)insertText:(id)aString replacementRange:(NSRange)replacementRange { NSEvent *event = [NSApp currentEvent]; NSString *characters; if ([aString isKindOfClass:[NSAttributedString class]]) { characters = [aString string]; } else { characters = (NSString *)aString; } NSCharacterSet *ctrl_chars = [NSCharacterSet controlCharacterSet]; NSCharacterSet *wsnl_chars = [NSCharacterSet whitespaceAndNewlineCharacterSet]; if ([characters rangeOfCharacterFromSet:ctrl_chars].length && [characters rangeOfCharacterFromSet:wsnl_chars].length == 0) { [[NSTextInputContext currentInputContext] discardMarkedText]; [self cancelComposition]; return; } DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { [self cancelComposition]; return; } Char16String text; text.resize([characters length] + 1); [characters getCharacters:(unichar *)text.ptrw() range:NSMakeRange(0, [characters length])]; String u32text; u32text.parse_utf16(text.ptr(), text.length()); for (int i = 0; i < u32text.length(); i++) { const char32_t codepoint = u32text[i]; if ((codepoint & 0xFF00) == 0xF700) { continue; } DisplayServerOSX::KeyEvent ke; ke.window_id = window_id; ke.osx_state = [event modifierFlags]; ke.pressed = true; ke.echo = false; ke.raw = false; // IME input event. ke.keycode = Key::NONE; ke.physical_keycode = Key::NONE; ke.unicode = codepoint; ds->push_to_key_event_buffer(ke); } [self cancelComposition]; } // MARK: Drag and drop - (NSDragOperation)draggingEntered:(id)sender { return NSDragOperationCopy; } - (NSDragOperation)draggingUpdated:(id)sender { return NSDragOperationCopy; } - (BOOL)performDragOperation:(id)sender { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return NO; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); if (!wd.drop_files_callback.is_null()) { Vector files; NSPasteboard *pboard = [sender draggingPasteboard]; if (@available(macOS 10.13, *)) { NSArray *items = pboard.pasteboardItems; for (NSPasteboardItem *item in items) { NSString *url = [item stringForType:NSPasteboardTypeFileURL]; NSString *file = [NSURL URLWithString:url].path; files.push_back(String::utf8([file UTF8String])); } #if !defined(__aarch64__) // Do not build deprectead 10.13 code on ARM. } else { NSArray *filenames = [pboard propertyListForType:NSFilenamesPboardType]; for (NSString *file in filenames) { files.push_back(String::utf8([file UTF8String])); } #endif } Variant v = files; Variant *vp = &v; Variant ret; Callable::CallError ce; wd.drop_files_callback.call((const Variant **)&vp, 1, ret, ce); } return NO; } // MARK: Focus - (BOOL)canBecomeKeyView { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return YES; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); return !wd.no_focus; } - (BOOL)acceptsFirstResponder { return YES; } // MARK: Mouse - (void)cursorUpdate:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds) { return; } ds->cursor_update_shape(); } - (void)processMouseEvent:(NSEvent *)event index:(MouseButton)index mask:(MouseButton)mask pressed:(bool)pressed { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); MouseButton last_button_state = ds->mouse_get_button_state(); if (pressed) { last_button_state |= mask; } else { last_button_state &= (MouseButton)~mask; } ds->mouse_set_button_state(last_button_state); Ref mb; mb.instantiate(); mb->set_window_id(window_id); ds->update_mouse_pos(wd, [event locationInWindow]); ds->get_key_modifier_state([event modifierFlags], mb); mb->set_button_index(index); mb->set_pressed(pressed); mb->set_position(wd.mouse_pos); mb->set_global_position(wd.mouse_pos); mb->set_button_mask(last_button_state); if (index == MouseButton::LEFT && pressed) { mb->set_double_click([event clickCount] == 2); } Input::get_singleton()->parse_input_event(mb); } - (void)mouseDown:(NSEvent *)event { if (([event modifierFlags] & NSEventModifierFlagControl)) { mouse_down_control = true; [self processMouseEvent:event index:MouseButton::RIGHT mask:MouseButton::MASK_RIGHT pressed:true]; } else { mouse_down_control = false; [self processMouseEvent:event index:MouseButton::LEFT mask:MouseButton::MASK_LEFT pressed:true]; } } - (void)mouseDragged:(NSEvent *)event { [self mouseMoved:event]; } - (void)mouseUp:(NSEvent *)event { if (mouse_down_control) { [self processMouseEvent:event index:MouseButton::RIGHT mask:MouseButton::MASK_RIGHT pressed:false]; } else { [self processMouseEvent:event index:MouseButton::LEFT mask:MouseButton::MASK_LEFT pressed:false]; } } - (void)mouseMoved:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); NSPoint delta = NSMakePoint([event deltaX], [event deltaY]); NSPoint mpos = [event locationInWindow]; if (ds->update_mouse_wrap(wd, delta, mpos, [event timestamp])) { return; } Ref mm; mm.instantiate(); mm->set_window_id(window_id); mm->set_button_mask(ds->mouse_get_button_state()); ds->update_mouse_pos(wd, mpos); mm->set_position(wd.mouse_pos); mm->set_pressure([event pressure]); if ([event subtype] == NSEventSubtypeTabletPoint) { const NSPoint p = [event tilt]; mm->set_tilt(Vector2(p.x, p.y)); } mm->set_global_position(wd.mouse_pos); mm->set_velocity(Input::get_singleton()->get_last_mouse_velocity()); const Vector2i relativeMotion = Vector2i(delta.x, delta.y) * ds->screen_get_max_scale(); mm->set_relative(relativeMotion); ds->get_key_modifier_state([event modifierFlags], mm); Input::get_singleton()->parse_input_event(mm); } - (void)rightMouseDown:(NSEvent *)event { [self processMouseEvent:event index:MouseButton::RIGHT mask:MouseButton::MASK_RIGHT pressed:true]; } - (void)rightMouseDragged:(NSEvent *)event { [self mouseMoved:event]; } - (void)rightMouseUp:(NSEvent *)event { [self processMouseEvent:event index:MouseButton::RIGHT mask:MouseButton::MASK_RIGHT pressed:false]; } - (void)otherMouseDown:(NSEvent *)event { if ((int)[event buttonNumber] == 2) { [self processMouseEvent:event index:MouseButton::MIDDLE mask:MouseButton::MASK_MIDDLE pressed:true]; } else if ((int)[event buttonNumber] == 3) { [self processMouseEvent:event index:MouseButton::MB_XBUTTON1 mask:MouseButton::MASK_XBUTTON1 pressed:true]; } else if ((int)[event buttonNumber] == 4) { [self processMouseEvent:event index:MouseButton::MB_XBUTTON2 mask:MouseButton::MASK_XBUTTON2 pressed:true]; } else { return; } } - (void)otherMouseDragged:(NSEvent *)event { [self mouseMoved:event]; } - (void)otherMouseUp:(NSEvent *)event { if ((int)[event buttonNumber] == 2) { [self processMouseEvent:event index:MouseButton::MIDDLE mask:MouseButton::MASK_MIDDLE pressed:false]; } else if ((int)[event buttonNumber] == 3) { [self processMouseEvent:event index:MouseButton::MB_XBUTTON1 mask:MouseButton::MASK_XBUTTON1 pressed:false]; } else if ((int)[event buttonNumber] == 4) { [self processMouseEvent:event index:MouseButton::MB_XBUTTON2 mask:MouseButton::MASK_XBUTTON2 pressed:false]; } else { return; } } - (void)mouseExited:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); if (ds->mouse_get_mode() != DisplayServer::MOUSE_MODE_CAPTURED) { ds->send_window_event(wd, DisplayServerOSX::WINDOW_EVENT_MOUSE_EXIT); } } - (void)mouseEntered:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); if (ds->mouse_get_mode() != DisplayServer::MOUSE_MODE_CAPTURED) { ds->send_window_event(wd, DisplayServerOSX::WINDOW_EVENT_MOUSE_ENTER); } ds->cursor_update_shape(); } - (void)magnifyWithEvent:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); Ref ev; ev.instantiate(); ev->set_window_id(window_id); ds->get_key_modifier_state([event modifierFlags], ev); ds->update_mouse_pos(wd, [event locationInWindow]); ev->set_position(wd.mouse_pos); ev->set_factor([event magnification] + 1.0); Input::get_singleton()->parse_input_event(ev); } - (void)updateTrackingAreas { if (tracking_area != nil) { [self removeTrackingArea:tracking_area]; } NSTrackingAreaOptions options = NSTrackingMouseEnteredAndExited | NSTrackingActiveInKeyWindow | NSTrackingCursorUpdate | NSTrackingInVisibleRect; tracking_area = [[NSTrackingArea alloc] initWithRect:[self bounds] options:options owner:self userInfo:nil]; [self addTrackingArea:tracking_area]; [super updateTrackingAreas]; } // MARK: Keyboard - (void)keyDown:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); ignore_momentum_scroll = true; // Ignore all input if IME input is in progress. if (!ime_input_event_in_progress) { NSString *characters = [event characters]; NSUInteger length = [characters length]; if (!wd.im_active && length > 0 && keycode_has_unicode(KeyMappingOSX::remap_key([event keyCode], [event modifierFlags]))) { // Fallback unicode character handler used if IME is not active. Char16String text; text.resize([characters length] + 1); [characters getCharacters:(unichar *)text.ptrw() range:NSMakeRange(0, [characters length])]; String u32text; u32text.parse_utf16(text.ptr(), text.length()); for (int i = 0; i < u32text.length(); i++) { const char32_t codepoint = u32text[i]; DisplayServerOSX::KeyEvent ke; ke.window_id = window_id; ke.osx_state = [event modifierFlags]; ke.pressed = true; ke.echo = [event isARepeat]; ke.keycode = KeyMappingOSX::remap_key([event keyCode], [event modifierFlags]); ke.physical_keycode = KeyMappingOSX::translate_key([event keyCode]); ke.raw = true; ke.unicode = codepoint; ds->push_to_key_event_buffer(ke); } } else { DisplayServerOSX::KeyEvent ke; ke.window_id = window_id; ke.osx_state = [event modifierFlags]; ke.pressed = true; ke.echo = [event isARepeat]; ke.keycode = KeyMappingOSX::remap_key([event keyCode], [event modifierFlags]); ke.physical_keycode = KeyMappingOSX::translate_key([event keyCode]); ke.raw = false; ke.unicode = 0; ds->push_to_key_event_buffer(ke); } } // Pass events to IME handler if (wd.im_active) { [self interpretKeyEvents:[NSArray arrayWithObject:event]]; } } - (void)flagsChanged:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } ignore_momentum_scroll = true; // Ignore all input if IME input is in progress if (!ime_input_event_in_progress) { DisplayServerOSX::KeyEvent ke; ke.window_id = window_id; ke.echo = false; ke.raw = true; int key = [event keyCode]; int mod = [event modifierFlags]; if (key == 0x36 || key == 0x37) { if (mod & NSEventModifierFlagCommand) { mod &= ~NSEventModifierFlagCommand; ke.pressed = true; } else { ke.pressed = false; } } else if (key == 0x38 || key == 0x3c) { if (mod & NSEventModifierFlagShift) { mod &= ~NSEventModifierFlagShift; ke.pressed = true; } else { ke.pressed = false; } } else if (key == 0x3a || key == 0x3d) { if (mod & NSEventModifierFlagOption) { mod &= ~NSEventModifierFlagOption; ke.pressed = true; } else { ke.pressed = false; } } else if (key == 0x3b || key == 0x3e) { if (mod & NSEventModifierFlagControl) { mod &= ~NSEventModifierFlagControl; ke.pressed = true; } else { ke.pressed = false; } } else { return; } ke.osx_state = mod; ke.keycode = KeyMappingOSX::remap_key(key, mod); ke.physical_keycode = KeyMappingOSX::translate_key(key); ke.unicode = 0; ds->push_to_key_event_buffer(ke); } } - (void)keyUp:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); // Ignore all input if IME input is in progress. if (!ime_input_event_in_progress) { NSString *characters = [event characters]; NSUInteger length = [characters length]; // Fallback unicode character handler used if IME is not active. if (!wd.im_active && length > 0 && keycode_has_unicode(KeyMappingOSX::remap_key([event keyCode], [event modifierFlags]))) { Char16String text; text.resize([characters length] + 1); [characters getCharacters:(unichar *)text.ptrw() range:NSMakeRange(0, [characters length])]; String u32text; u32text.parse_utf16(text.ptr(), text.length()); for (int i = 0; i < u32text.length(); i++) { const char32_t codepoint = u32text[i]; DisplayServerOSX::KeyEvent ke; ke.window_id = window_id; ke.osx_state = [event modifierFlags]; ke.pressed = false; ke.echo = [event isARepeat]; ke.keycode = KeyMappingOSX::remap_key([event keyCode], [event modifierFlags]); ke.physical_keycode = KeyMappingOSX::translate_key([event keyCode]); ke.raw = true; ke.unicode = codepoint; ds->push_to_key_event_buffer(ke); } } else { DisplayServerOSX::KeyEvent ke; ke.window_id = window_id; ke.osx_state = [event modifierFlags]; ke.pressed = false; ke.echo = [event isARepeat]; ke.keycode = KeyMappingOSX::remap_key([event keyCode], [event modifierFlags]); ke.physical_keycode = KeyMappingOSX::translate_key([event keyCode]); ke.raw = true; ke.unicode = 0; ds->push_to_key_event_buffer(ke); } } } // MARK: Scroll and pan - (void)processScrollEvent:(NSEvent *)event button:(MouseButton)button factor:(double)factor { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); MouseButton mask = mouse_button_to_mask(button); Ref sc; sc.instantiate(); sc->set_window_id(window_id); ds->get_key_modifier_state([event modifierFlags], sc); sc->set_button_index(button); sc->set_factor(factor); sc->set_pressed(true); sc->set_position(wd.mouse_pos); sc->set_global_position(wd.mouse_pos); MouseButton last_button_state = ds->mouse_get_button_state() | (MouseButton)mask; sc->set_button_mask(last_button_state); ds->mouse_set_button_state(last_button_state); Input::get_singleton()->parse_input_event(sc); sc.instantiate(); sc->set_window_id(window_id); sc->set_button_index(button); sc->set_factor(factor); sc->set_pressed(false); sc->set_position(wd.mouse_pos); sc->set_global_position(wd.mouse_pos); last_button_state &= (MouseButton)~mask; sc->set_button_mask(last_button_state); ds->mouse_set_button_state(last_button_state); Input::get_singleton()->parse_input_event(sc); } - (void)processPanEvent:(NSEvent *)event dx:(double)dx dy:(double)dy { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); Ref pg; pg.instantiate(); pg->set_window_id(window_id); ds->get_key_modifier_state([event modifierFlags], pg); pg->set_position(wd.mouse_pos); pg->set_delta(Vector2(-dx, -dy)); Input::get_singleton()->parse_input_event(pg); } - (void)scrollWheel:(NSEvent *)event { DisplayServerOSX *ds = (DisplayServerOSX *)DisplayServer::get_singleton(); if (!ds || !ds->has_window(window_id)) { return; } DisplayServerOSX::WindowData &wd = ds->get_window(window_id); ds->update_mouse_pos(wd, [event locationInWindow]); double delta_x = [event scrollingDeltaX]; double delta_y = [event scrollingDeltaY]; if ([event hasPreciseScrollingDeltas]) { delta_x *= 0.03; delta_y *= 0.03; } if ([event momentumPhase] != NSEventPhaseNone) { if (ignore_momentum_scroll) { return; } } else { ignore_momentum_scroll = false; } if ([event phase] != NSEventPhaseNone || [event momentumPhase] != NSEventPhaseNone) { [self processPanEvent:event dx:delta_x dy:delta_y]; } else { if (fabs(delta_x)) { [self processScrollEvent:event button:(0 > delta_x ? MouseButton::WHEEL_RIGHT : MouseButton::WHEEL_LEFT) factor:fabs(delta_x * 0.3)]; } if (fabs(delta_y)) { [self processScrollEvent:event button:(0 < delta_y ? MouseButton::WHEEL_UP : MouseButton::WHEEL_DOWN) factor:fabs(delta_y * 0.3)]; } } } @end