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int spacePerVertex = coordinates * floatsize; ByteBuffer vbb = ByteBuffer.allocateDirect(spacePerVertex * vertices); vbb.order(ByteOrder.nativeOrder()); FloatBuffer mFTextureBuffer = vbb.asFloatBuffer(); //Put the first coordinate (x,y (s,t):0,0) mFTextureBuffer.put(0.5f); //x or s mFTextureBuffer.put(0.5f); //y or t int totalPuts = 2; for (int i=0;i<sides;i++) { mFTextureBuffer.put(sarray[i]); //x mFTextureBuffer.put(tarray[i]); //y totalPuts += 2; } Log.d("total texture puts:",Integer.toString(totalPuts)); return mFTextureBuffer; } //********************************************** //Calculate indices forming multiple triangles. //Start with the center vertex which is at 0 //Then count them in a clockwise direction such as //0,1,2, 0,2,3, 0,3,4..etc //********************************************** public ShortBuffer getIndexBuffer() { short[] iarray = new short[sides * 3]; ByteBuffer ibb = ByteBuffer.allocateDirect(sides * 3 * 2); ibb.order(ByteOrder.nativeOrder()); ShortBuffer mIndexBuffer = ibb.asShortBuffer(); for (int i=0;i<sides;i++) { short index1 = 0; short index2 = (short)(i+1); short index3 = (short)(i+2); if (index3 == sides+1) { index3 = 1; } mIndexBuffer.put(index1); mIndexBuffer.put(index2); mIndexBuffer.put(index3); iarray[i*3 + 0]=index1; iarray[i*3 + 1]=index2; iarray[i*3 + 2]=index3; } this.printShortArray(iarray, "index array"); return mIndexBuffer; } //********************************************** //This is where you take the angle array //for each vertex and calculate their projection multiplier //on the x axis

//********************************************** private float[] getXMultiplierArray() { float[] angleArray = getAngleArrays(); float[] xmultiplierArray = new float[sides]; for(int i=0;i<angleArray.length;i++) { float curAngle = angleArray[i]; float sinvalue = (float)Math.cos(Math.toRadians(curAngle)); float absSinValue = Math.abs(sinvalue); if (isXPositiveQuadrant(curAngle)) { sinvalue = absSinValue; } else { sinvalue = -absSinValue; } xmultiplierArray[i] = this.getApproxValue(sinvalue); } this.printArray(xmultiplierArray, "xmultiplierArray"); return xmultiplierArray; } //********************************************** //This is where you take the angle array //for each vertex and calculate their projection multiplier //on the y axis //********************************************** private float[] getYMultiplierArray() { float[] angleArray = getAngleArrays(); float[] ymultiplierArray = new float[sides]; for(int i=0;i<angleArray.length;i++) { float curAngle = angleArray[i]; float sinvalue = (float)Math.sin(Math.toRadians(curAngle)); float absSinValue = Math.abs(sinvalue); if (isYPositiveQuadrant(curAngle)) { sinvalue = absSinValue; } else { sinvalue = -absSinValue; } ymultiplierArray[i] = this.getApproxValue(sinvalue); } this.printArray(ymultiplierArray, "ymultiplierArray"); return ymultiplierArray; } //********************************************** //This function may not be needed //Test it yourself and discard it if you dont need //********************************************** private boolean isXPositiveQuadrant(float angle) { if ((0 <= angle) && (angle <= 90)) { return true; if ((angle < 0) && (angle >= -90)) { return true; return false; }

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Every application framework has some key components that developers need to understand before they can begin to write applications based on the framework. For example, you would need to understand JavaServer Pages (JSP) and servlets in order to write Java 2 Platform, Enterprise Edition (J2EE) applications. Similarly, you need to understand activities, views, intents, content providers, services, and the AndroidManifest.xml file when you build applications for Android. We will briefly discuss these fundamental concepts here so that you can follow the rest of this chapter, and we ll discuss them in more detail throughout the book.

hapter 3 introduced you to the OCaml concept of type; here you will learn more about types their importance and things you can do with and about them. This chapter discusses the primitive types in OCaml (they are sometimes referred to as basic types; both terms are used interchangeably here). OCaml is strongly and statically typed, which means that all type information in a given program must be known at compile time. Further, the type information cannot change within the program while it is running. The compiler enforces this type information, and there are restrictions on which operations can operate on a given type. The benefit of this feature is that certain types of errors are not possible in a strongly typed language. For example, the following code in C compiles and runs, but outputs the wrong answer: #include <stdio.h> int main() { int b = 0; float c = 10.; printf("%i\n",b+c); return 0; } This program prints 0 (on some systems, it might print a random number or other garbage) to the screen and returns normally. This kind of error is pretty easy to make and can be very difficult to find unless you are specifically looking for it. C++ handles the situation and prints out the correct answer, but it does so because of implicit conversion. Dynamically typed languages such as Perl and Python handle the situation and print out a correct answer again due to implicit conversion. Wait a minute, you might say. This example is faulty because it has numbers, and OCaml is one of the few languages that make a real distinction between ints and floats. Although it is true that OCaml differentiates, this program is still fundamentally wrong. You can make a more detailed case by looking at strings.

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