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manipulation fields. There are tons of different forms of interpolation, but you are going to look at the most simple way: linear interpolation. Linear interpolation, also known in the graphics/game development/math world as simply lerp, is a very handy thing to keep in your toolbox of mathematical functions. Lerping is really very easy, and you have probably done it once or twice before and not even realized that it had a name. So, even for the math-phobic, this section should be pretty painless. I am bringing up lerping in the context of finding a middle color between two other colors, but it has broad-reaching uses in game development, so I wanted to at least spend a few paragraphs bringing it to your attention. Lerping is not only good at finding colors, but it is also fantastically useful for animation and tweening. Let s say you have an enemy spaceship that needs to fly from point A to point B. You can simply lerp the position from A to B over time. Easy! Similarly, lerping is a quick and simple way to add movement to your objects and game items. When you are using Core Animation to implicitly animate your layers, whether you are moving the layer around or rotating it or whatever, Core Animation is lerping your layer from the start value to the end value. You can use it for lots of things in your games (and as I mentioned, you probably are, without knowing it). So, let s look at a simple lerp function that you should be using for everything:

Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

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programs. Do not omit the bypass capacitor not even if you feel that your power supply is solid and well filtered. Locate that cap as close as practical to the supply leads of the DS1620. Although the 1-k resistor is not strictly necessary as long as the firmware is functioning correctly, it s best to leave it in. In the event that both the controller (PIC or STAMP) and the DS1620 try to drive the data line at the same time, the resistor limits the amount of current that can flow between them to a safe value. In order to interface a STAMP to the DS1620, you will need to first activate RST by taking it high. Next you have to send an instruction (protocol) to the DS1620 telling it what you want to do. If you are reading data, shift it into the controller (PIC or STAMP). If you are writing data, shift it out to the DS1620. Finally, you need to deactivate RST by taking it low.

static inline CGFloat BBLerp(CGFloat start, CGFloat end, CGFloat amount) { if (amount < 0.0) amount = 0.0; if (amount > 1.0) amount = 1.0; CGFloat spread = end - start; return (spread * amount) + start; }

28.1 PERMISSIBLE STRESSES AND STRAINS / 28.4 28.2 THEORY OF STATIC FAILURE / 28.5 28.3 STRESS CONCENTRATION / 28.9 28.4 FRACTURE MECHANICS / 28.13 28.5 NONFERROUS METALS / 28.19 REFERENCES / 28.22

a A D, d F I J K K Kc Kt Kts M n qs Crack semilength Area Diameter Force or load Second moment of area Second polar moment of area Stress-intensity factor Stress-concentration factor for static loading Critical-stress-intensity factor Normal-stress-concentration factor Shear-stress-concentration factor Moment Design factor Sensitivity index

28.3 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

Radius or ratio Yield strength in shear Ultimate compressive strength Ultimate tensile strength Yield strength Factor of safety Normal stress von Mises stress Shear stress Octahedral shear stress or nominal shear stress

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