added v2.0

07_Operating_System/06_Math_Test/Array.jack

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+../Array.jack

07_Operating_System/06_Math_Test/GPIO.jack

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+../GPIO.jack

07_Operating_System/06_Math_Test/Main.jack

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+// This file is part of www.nand2tetris.org
+// and the book "The Elements of Computing Systems"
+// by Nisan and Schocken, MIT Press.
+// File name: projects/12/MathTest/Main.jack
+
+/** Test program for the OS Math class. */
+class Main {
+
+    /** Performs various mathematical operations, using calls to the Math class methods. */
+    function void main() {
+        var Array r;          // stores the test results;
+        
+        let r = 4107;
+    
+        let r[0] = 2 * 3;                  // 6
+        let r[1] = r[0] * (-30);           // 6 * (-30) = -180
+        let r[2] = r[1] * 100;             // (-180) * 100 = -18000
+        let r[3] = 1 * r[2];               // 1 * (-18000) = -18000
+        let r[4] = r[3] * 0;               // 0
+        
+        let r[0] = 9 / 3;                  // 3
+        let r[1] = (-18000) / 6;           // -3000
+        let r[2] = 32766 / (-32767);       // 0
+        
+        let r[3] = Math.sqrt(9);           // 3
+        let r[4] = Math.sqrt(32767);       // 181
+        
+        let r[0] = Math.min(345, 123);    // 123
+        let r[1] = Math.max(123, -345);   // 123
+        let r[2] = Math.abs(27);          // 27
+        let r[3] = Math.abs(-32767);      // 32767
+        
+        return;
+    }
+}

07_Operating_System/06_Math_Test/Makefile

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+all: jack vm asm bin sim
+
+jack:
+	../../tools/JackCompiler/JackCompiler.pyc ./
+vm:
+	../../tools/VMTranslator/VMTranslator.pyc ./
+asm:
+	../../tools/Assembler/assembler.pyc out.asm
+bin:
+	../../tools/AsciiToBin.py out.hack
+sim:
+	cp out.hack ../00_HACK/ROM.hack
+upload:
+	iceprogduino -o 64k -w out.bin
+clean:
+	rm -f *.vm *.asm *.hack *.bin *~
+
+.PHONY: all clean

07_Operating_System/06_Math_Test/Math.jack

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+../Math.jack

07_Operating_System/06_Math_Test/MathTest.cmp

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+|RAM[8000]|RAM[8001]|RAM[8002]|RAM[8003]|RAM[8004]|RAM[8005]|RAM[8006]|RAM[8007]|RAM[8008]|RAM[8009]|RAM[8010]|RAM[8011]|RAM[8012]|RAM[8013]|
+|       6 |    -180 |  -18000 |  -18000 |       0 |       3 |   -3000 |       0 |       3 |     181 |     123 |     123 |      27 |   32767 |

07_Operating_System/06_Math_Test/MathTest.tst

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+// This file is part of www.nand2tetris.org
+// and the book "The Elements of Computing Systems"
+// by Nisan and Schocken, MIT Press.
+// File name: projects/12/MathTest/MathTest.tst
+
+load,
+output-file MathTest.out,
+compare-to MathTest.cmp,
+output-list RAM[8000]%D2.6.1 RAM[8001]%D2.6.1 RAM[8002]%D2.6.1 RAM[8003]%D2.6.1 RAM[8004]%D2.6.1 RAM[8005]%D2.6.1 RAM[8006]%D2.6.1 RAM[8007]%D2.6.1 RAM[8008]%D2.6.1 RAM[8009]%D2.6.1 RAM[8010]%D2.6.1 RAM[8011]%D2.6.1 RAM[8012]%D2.6.1 RAM[8013]%D2.6.1;
+
+repeat 1000000 {
+  vmstep;
+}
+
+output;

07_Operating_System/06_Math_Test/Memory.jack

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+../Memory.jack

07_Operating_System/06_Math_Test/Readme.md

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+## Math_Test
+
+A library of commonly used mathematical functions.
+
+**Note:** Jack compilers implement multiplication and division using OS method calls.
+
+***
+
+### Project
+
+* Implement `Math.jack`
+
+* Test in simulation:
+  
+  ```
+  $ cd 00_Math_Test
+  $ make
+  $ cd ../00_HACK
+  $ apio clean
+  $ apio sim
+  ```
+
+* Compare the content of special function register DEBUG0--DEBUG4.
+  ![](math.png)

07_Operating_System/06_Math_Test/Readme.md.backup

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+## Math_Test
+A library of commonly used mathematical functions.
+
+**Note:** Jack compilers implement multiplication and division using OS method calls.
+
+### function void init() {
+Initializes the library.
+### function int abs(int x)
+Returns the absolute value of x.
+### function int multiply(int x, int y)
+Returns the product of x and y. When a Jack compiler detects the multiplication operator `"*"` in the program's code, it handles it by invoking this method. In other words, the Jack expressions x*y and multiply(x,y) return the same value.
+### function int divide(int x, int y)
+Returns the integer part of x/y. When a Jack compiler detects the multiplication operator `"/"` in the program's code, it handles it by invoking this method. In other words, the Jack expressions x/y and divide(x,y) return the same value.
+### function int sqrt(int x)
+Returns the integer part of the square root of x.
+### function int max(int a, int b)
+Returns the greater number.
+### function int min(int a, int b)
+Returns the smaller number.
+***
+## Project
+* Implement `Math.jack`
+* Test in simulation:
+```
+$ cd 00_Math_Test
+$ make
+$ cd ../00_HACK
+$ apio clean
+$ apio sim
+```
+
+* Compare the content of special function register DEBUG0--DEBUG4.
+![](math.png)

07_Operating_System/06_Math_Test/Sys.jack

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+../Sys.jack

07_Operating_System/06_Math_Test/UART.jack

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+../UART.jack