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+//-----------------------------------------------------------------------------
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+// Copyright (c) 2013 GarageGames, LLC
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+//
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+// Permission is hereby granted, free of charge, to any person obtaining a copy
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+// of this software and associated documentation files (the "Software"), to
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+// deal in the Software without restriction, including without limitation the
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+// rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
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+// sell copies of the Software, and to permit persons to whom the Software is
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+// furnished to do so, subject to the following conditions:
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+//
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+// The above copyright notice and this permission notice shall be included in
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+// all copies or substantial portions of the Software.
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+//
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+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
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+// IN THE SOFTWARE.
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+//-----------------------------------------------------------------------------
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+
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+function AngleToy::create( %this )
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+{
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+ // Creating this toy runs its unit tests.
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+ AngleToy.unitTestScriptFunctions();
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+
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+ // Reset the toy initially.
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+ AngleToy.reset();
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+}
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+
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+//-----------------------------------------------------------------------------
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+
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+function AngleToy::unitTestScriptFunctions()
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+{
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+}
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+
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+function AngleToy::printVectorTestResult( %this, %test, %actual, %expected )
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+{
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+ if( Vector2Compare( %actual, %expected ) )
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+ echo( %test @ " [SUCCESS] " @ %actual @ " == " @ %expected @ "." );
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+ else
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+ error( %test @ " [FAILURE] " @ %actual @ " != " @ %expected @ "." );
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+}
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+
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+function AngleToy::printValueTestResult( %this, %actual, %expected )
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+{
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+ if( mAbs( %actual - %expected ) < 0.000001 )
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+ echo( %test @ " [SUCCESS] " @ %actual @ " == " @ %expected @ "." );
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+ else
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+ error( %test @ " [FAILURE] " @ %actual @ " != " @ %expected @ "." );
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+}
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+
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+//-----------------------------------------------------------------------------
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+
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+function AngleToy::destroy( %this )
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+{
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+}
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+
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+//-----------------------------------------------------------------------------
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+
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+function AngleToy::reset( %this )
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+{
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+ // Clear the scene.
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+ SandboxScene.clear();
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+
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+ // Create background.
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+ %this.createBackground();
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+
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+ // Create the target.
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+ %this.createTargets();
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+
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+ // Create Mathematical Objects/Labels
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+ %this.createMathematicalObjects();
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+}
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+
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+//-----------------------------------------------------------------------------
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+
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+function AngleToy::createBackground( %this )
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+{
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+ // Create the Polar Coordinate Background
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+ %axisColor = "0.4 0.4 0.4";
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+ %circleColor = "0.2 0.2 0.2";
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+ %textColor = "1 1 0";
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+
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+ // X-Axis
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+ %object = new ShapeVector();
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+ %object.setBodyType( static );
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+ %object.Position = "0 0";
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+ %object.Size = "100 0";
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+ %object.SceneLayer = 31;
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+ %object.LineColor = %axisColor;
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+ %object.FillMode = false;
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+ %object.setPolyCustom( 2, "-1 0 1 0" );
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+ SandboxScene.add( %object );
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+
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+ // Y-Axis
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+ %object = new ShapeVector();
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+ %object.setBodyType( static );
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+ %object.Position = "0 0";
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+ %object.Size = "0 25";
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+ %object.SceneLayer = 31;
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+ %object.LineColor = %axisColor;
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+ %object.FillMode = false;
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+ %object.setPolyCustom( 2, "0 -1 0 1" );
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+ SandboxScene.add( %object );
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+
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+ // Radius Circles
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+ for( %i = 1; %i <= 2; %i++ )
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+ {
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+ %object = new ShapeVector();
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+ %object.setBodyType( static );
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+ %object.Position = "0 0";
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+ %object.Size = "20 20";
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+ %object.SceneLayer = 31;
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+ %object.LineColor = %circleColor;
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+ %object.FillMode = false;
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+ %object.IsCircle = true;
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+ %object.CircleRadius = %i * 10;
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+ SandboxScene.add( %object );
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+ }
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+
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+ // Angle Labels
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+ for( %i = -165; %i <= 180; %i += 15 )
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+ {
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+ %object = new ImageFont();
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+ %object.Image = "ToyAssets:Font";
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+ %object.Position = Vector2Direction( %i, 30 ); // Polar ( 30, %i° )
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+ %object.Angle = %i - 90;
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+ %object.FontSize = "1.5 2";
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+ %object.TextAlignment = "Center";
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+ %object.BlendColor = %textColor;
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+ %object.Text = %i;
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+ SandboxScene.add( %object );
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+ }
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+}
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+
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+//-----------------------------------------------------------------------------
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+
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+function AngleToy::createTargets( %this )
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+{
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+ // Create the sprite.
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+ %object = new Sprite();
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+ AngleToy.TargetObject = %object;
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+ %object.Image = "ToyAssets:hollowArrow";
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+ %object.Size = 5;
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+ %object.setBodyType( static );
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+ SandboxScene.add( %object );
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+}
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+
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+//-----------------------------------------------------------------------------
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+
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+function AngleToy::createMathematicalObjects( %this )
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+{
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+ %lineSegmentColor = "0.25 0.25 0.75";
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+
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+ %object = new Sprite() { class = "LineSegment"; };
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+ AngleToy.SinLineSegment = %object;
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+ %object.Image = "ToyAssets:Blank";
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+ %object.setBodyType( static );
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+ %object.BlendColor = %lineSegmentColor;
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+ SandboxScene.add( %object );
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+
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+ %object = new Sprite() { class = "LineSegment"; };
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+ AngleToy.CosLineSegment = %object;
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+ %object.Image = "ToyAssets:Blank";
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+ %object.setBodyType( static );
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+ %object.BlendColor = %lineSegmentColor;
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+ SandboxScene.add( %object );
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+
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+ %object = new Sprite() { class = "LineSegment"; };
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+ AngleToy.TanLineSegment = %object;
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+ %object.Image = "ToyAssets:Blank";
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+ %object.setBodyType( static );
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+ %object.BlendColor = %lineSegmentColor;
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+ SandboxScene.add( %object );
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+
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+ %object = new ImageFont();
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+ AngleToy.SinLabel = %object;
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+ %object.Image = "ToyAssets:Font";
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+ %object.FontSize = "1.5 1.5";
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+ %object.TextAlignment = "Center";
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+ %object.BlendColor = %lineSegmentColor;
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+ SandboxScene.add( %object );
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+
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+ %object = new ImageFont();
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+ AngleToy.CosLabel = %object;
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+ %object.Image = "ToyAssets:Font";
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+ %object.FontSize = "1.5 1.5";
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+ %object.TextAlignment = "Center";
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+ %object.BlendColor = %lineSegmentColor;
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+ SandboxScene.add( %object );
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+
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+ %object = new ImageFont();
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+ AngleToy.TanLabel = %object;
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+ %object.Image = "ToyAssets:Font";
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+ %object.FontSize = "1.5 1.5";
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+ %object.TextAlignment = "Center";
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+ %object.BlendColor = %lineSegmentColor;
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+ SandboxScene.add( %object );
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+}
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+
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+//-----------------------------------------------------------------------------
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+
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+function AngleToy::onTouchMoved(%this, %touchID, %worldPosition)
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+{
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+ // Calculate the angle to the mouse.
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+ %origin = AngleToy.TargetObject.getPosition();
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+ %angle = mAtan( %worldPosition );
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+
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+ //Rotate to the touched angle.
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+ AngleToy.TargetObject.SetAngle( %angle - 90 ); // Image points at 90 degrees, so we need to subtract that off.
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+
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+ // Show Sin, Cos, Tan
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+ %sin = mSin( %angle );
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+ %cos = mCos( %angle );
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+ %tan = mTan( %angle );
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+
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+ // Fix %worldPosition at 20 units from the center.
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+ // There are many ways to do this... For example, we could do this:
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+ // %worldPositionAtRadius20 = Vector2Direction( %angle, 20 );
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+ // or
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+ %worldPositionAtRadius20 = Vector2Scale( Vector2Normalize( %worldPosition ), 20 );
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+ // which will first shrink the %worldPosition vector to have a length of 1
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+ // and then will scale it back to 20 units.
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+
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+ %onYAxis = setWord( %worldPositionAtRadius20, 0, 0 ); // Set the X-component to 0
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+ AngleToy.SinLineSegment.draw( %worldPositionAtRadius20, %onYAxis );
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+ AngleToy.SinLabel.setPosition( %onYAxis );
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+ AngleToy.SinLabel.setText( %sin );
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+
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+ %onXAxis = setWord( %worldPositionAtRadius20, 1, 0 ); // Set the Y-component to 0
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+ AngleToy.CosLineSegment.draw( %worldPositionAtRadius20, %onXAxis );
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+ AngleToy.CosLabel.setPosition( %onXAxis );
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+ AngleToy.CosLabel.setText( %cos );
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+
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+ AngleToy.TanLineSegment.drawTangent( %worldPositionAtRadius20, %tan, %angle );
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+ AngleToy.TanLabel.setPosition( %worldPosition );
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+ AngleToy.TanLabel.setText( %tan );
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+}
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+
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+//-----------------------------------------------------------------------------
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+
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+function LineSegment::draw( %this, %from, %to )
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+{
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+ %length = Vector2Distance( %from, %to );
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+ %width = 0.25;
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+ %mid = Vector2Scale( Vector2Add( %from, %to ), 0.5 ); // Mid-Point
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+ %angle = Vector2AngleToPoint( %from, %to );
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+
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+ %this.setPosition( %mid );
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+ %this.setSize( %length, %width );
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+ %this.setAngle( %angle );
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+}
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+
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+function LineSegment::drawTangent( %this, %from, %tan, %angleOnCircle )
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+{
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+ // One of the many, many definitions of tangent is that the line that
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+ // is tangent to the circle will intersect the X-axis with a length of
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+ // %tangent. It's fun, so we'll use it for this example.
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+
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+ %tangentAngle = %angleOnCircle - 90;
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+
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+ %length = %tan * 20; // Sin/Cos/Tan assume a unit circle. Scaling...
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+
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+ %tangentEnd = Vector2Add( %from, Vector2Direction( %tangentAngle, %length ) );
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+
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+ %this.draw( %from, %tangentEnd );
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+}
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William Lee Sims