generate barcode in c# windows application VECTORS: GHOSTS IN THE MACHINE in Font

Draw Code 128 Code Set C in Font VECTORS: GHOSTS IN THE MACHINE

VECTORS: GHOSTS IN THE MACHINE
Code128 Encoder In None
Using Barcode creation for Font Control to generate, create Code 128 Code Set C image in Font applications.
www.OnBarcode.com
Print Code 3/9 In None
Using Barcode maker for Font Control to generate, create USS Code 39 image in Font applications.
www.OnBarcode.com
Figure 2-40. Use the dot product to tell you when a collision has occurred and what the collision force is.
Print Denso QR Bar Code In None
Using Barcode printer for Font Control to generate, create Quick Response Code image in Font applications.
www.OnBarcode.com
Encode Barcode In None
Using Barcode encoder for Font Control to generate, create Barcode image in Font applications.
www.OnBarcode.com
Resolving the collision
EAN 128 Generator In None
Using Barcode printer for Font Control to generate, create EAN128 image in Font applications.
www.OnBarcode.com
ECC200 Maker In None
Using Barcode generator for Font Control to generate, create Data Matrix image in Font applications.
www.OnBarcode.com
In Figures 2-35 through 2-39, the spaceship and the collision plane are aligned to the x and y axes. This makes the math really easy to understand and visualize. But in a real-world collision, it s likely that the ship and line will be colliding at weird angles. Fortunately, the math holds up no matter at what angle the collision happens. When the ship collides with the line, we need to know by how much it has crossed the line. This is important so we can move the ship out of the collision. We need to move it back to the exact point of collision with the line (the point where the dot product is zero). In Figure 2-39, it s easy to see that the ship has overshot the line by three cells. If we move the ship back by 3, it will be positioned exactly at the point of collision.
Code 128 Code Set A Generation In None
Using Barcode creation for Font Control to generate, create Code 128A image in Font applications.
www.OnBarcode.com
Drawing USPS Intelligent Mail In None
Using Barcode creation for Font Control to generate, create USPS OneCode Solution Barcode image in Font applications.
www.OnBarcode.com
We can say that 3 is the ship s collision vector. The collision vector has a magnitude of 3. If we know the direction of the collision and we know the magnitude, we can resolve the collision. As you ve seen, the dot product will always tell you the magnitude of the collision vector. We have that number in the bag. However, we don t always know the direction of the collision. Take a look at Figure 2-41 for an example. It shows how both the ship and the line are colliding at strange angles. We know that the dot product is 4 (rounded). That s the collision vector s magnitude. But we can t create a collision vector until we also know the direction of the collision.
Reading Code 128B In None
Using Barcode recognizer for Software Control to read, scan read, scan image in Software applications.
www.OnBarcode.com
Create ANSI/AIM Code 128 In VB.NET
Using Barcode drawer for Visual Studio .NET Control to generate, create Code 128A image in .NET applications.
www.OnBarcode.com
Figure 2-41. The ship has collided with the line. The magnitude of the collision will be the same as the value of the dot product. But what s the direction How can we figure out from which direction the ship is colliding with the line Surprise we already know it! It s the ship s motion vector, v1. Figure 2-42 shows the spaceship s motion vector, v1. It s definitely pointing in the right direction. The only problem is that it s too long. Its magnitude is 7 (rounded). What would Goldilocks do
Generating QR-Code In None
Using Barcode drawer for Microsoft Word Control to generate, create QR image in Office Word applications.
www.OnBarcode.com
Generating Data Matrix ECC200 In .NET
Using Barcode drawer for ASP.NET Control to generate, create Data Matrix 2d barcode image in ASP.NET applications.
www.OnBarcode.com
VECTORS: GHOSTS IN THE MACHINE
Drawing 1D Barcode In .NET
Using Barcode generator for .NET framework Control to generate, create Linear 1D Barcode image in .NET applications.
www.OnBarcode.com
Printing USS Code 128 In VS .NET
Using Barcode maker for VS .NET Control to generate, create Code-128 image in .NET applications.
www.OnBarcode.com
Figure 2-42. The ship s motion vector is pointing in the right direction, but its magnitude is too long. We need a vector that s pointing in the same direction as v1 but has the same magnitude as the dot product. Aha! That should ring a bell. We can use a unit vector to help solve this problem. Remember that normalized unit vectors are the smallest size a vector can be. They have the magical property of pointing in a specific direction, but can be scaled to any size. Unit vectors are the Drink Me! of Vectorland. How can we use a unit vector in this case
EAN 13 Generation In VB.NET
Using Barcode creator for .NET framework Control to generate, create EAN 13 image in .NET framework applications.
www.OnBarcode.com
Recognize Barcode In Java
Using Barcode scanner for Java Control to read, scan read, scan image in Java applications.
www.OnBarcode.com
1. Normalize the ship s motion vector, v1. That will allow us to keep its direction but scale it
Create Code-128 In Java
Using Barcode encoder for Java Control to generate, create Code 128 image in Java applications.
www.OnBarcode.com
Making Barcode In Java
Using Barcode drawer for Java Control to generate, create Barcode image in Java applications.
www.OnBarcode.com
to any other size.
Scanning ECC200 In Visual C#.NET
Using Barcode recognizer for .NET Control to read, scan read, scan image in Visual Studio .NET applications.
www.OnBarcode.com
Making Barcode In None
Using Barcode encoder for Online Control to generate, create Barcode image in Online applications.
www.OnBarcode.com
2. Multiply v1 s unit vector by the value of the dot product, 4. The resulting vector is the
new collision vector.
Figure 2-43 shows how v1 s unit vector is scaled by the dot product to create the collision vector. Here s the code in the Collision example file that does this work. var collisionForce_Vx:Number = _v1.dx * Math.abs(dp2); var collisionForce_Vy:Number = _v1.dy * Math.abs(dp2);
Download from Wow! eBook <www.wowebook.com>
Figure 2-43. Scale v1 to the magnitude of the dot product to create the collision vector. The new collision vector precisely describes the force of the collision. You can see in Figure 2-44 that it fits exactly in the space between the line and ship. (It s been rounded up to 3 because we re working with whole pixel values.) It tells us how far the ship has intersected the line.
Copyright © OnBarcode.com . All rights reserved.