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The Core Instructions In Depth

First, the anatomy of the virtual machine:

Anatomy

The machine is composed of 5 components: a static array of cells (a turing tape), a pointer (the turing tape head), a register (a single cell), a "dereference" stack (a stack of addresses used to keep track of the tape head's changing position), and a call stack (to resume execution after a function call).

User input should be encoded through the interface I/O (used with Get and Put) attached to the virtual machine.

Memory

These are the instructions used for manipulating the turing tape.

Move

The Move instruction takes a constant integer as an argument: the number of cells to move the pointer. The number of cells can be either positive or negative.

Move

Index

The Index instruction moves the register's value as a pointer by the value pointed to on the tape. For any N stored on the tape under the pointer, the address stored in the register will move by N cells. If N is negative, it will move the pointer in the register N cells to the left. If N is positive, the pointer will move to the right.

This is to account for the fact that the virtual machine is abstracted over pointers. Pointers, under the hood, are varying distances apart for different implementations. For implementations using an indexed array as a tape, the "address" of each cell is the previous address plus one. For implementations using real pointers, this difference can be 2, 4, 8 or who knows what: it depends on the implementation. So, to write code that uses pointers without understanding how they work, we need the Index instruction along with Where?, Deref, and Refer.

Index

BitwiseNand

BitwiseNand performs a bitwise-NAND operation on the register and the tape, and stores the result in the register. This should perform a bitwise-NAND across all the bits which represent the cell, or the maximum integer size of the machine (usually 32 or 64 bits). Variation in this configuration will affect the runtime of programs. If a compiler is going to target a specific configuration of this parameter, it should be known to the compiler. I am considering implementing bitwise operations in a more canonical way, or enforcing that the program state all of the required configuration parameters.

Bitwise Nand

Where?

Where? sets the register equal to the current value of the pointer: register = ptr. You might think this instruction is useless, because wouldn't the compiler always know where the pointer is? There's a nuanced reason for this instruction: it helps maximize portability.

Consider an implementation that uses actual pointers to implement the turing tape. In this case, incrementing and decrementing the value of the pointer will not be portable. This is due to the fact that cell sizes vary from target to target.

Instead, to increment a pointer, the Where? instruction can be used. First, Deref the pointer. Then, Move one cell to the right. Finally, Where? stores the address of the current cell in the register.

Where?

Deref and Refer

The Deref instruction saves the current pointer to the "deref stack", and dereferences the address stored at the pointer: push(ptr); ptr = *ptr. The Refer undoes the last Deref instruction. It pops the top pointer off the deref stack, and stores it in the pointer: ptr = pop().

Deref Refer

Arithmetic

These are the operators used for any math relation functionality.

IsNonNegative?

IsNonNegative? is the only operator for comparisons. It sets the register equal to 1 if the register is non-negative, 0 otherwise: register = register >= 0? 1 : 0.

Math

Each of the arithmetic operators function identically. For addition: register += *ptr. For subtraction: register -= *ptr. Very straightforward. Division (and remainder) by zero should halt the machine.

Add and Subtract

Addition Subtract

Multiply and Divide

Multiply Divide

Remainder

Remainder

Control

These instructions are used to control the flow of the program.

While, If, and Else

The While instruction creates a while-the-register-is-not-zero-loop over the block of code terminated by the matching End instruction: while (register != 0) {.

The If instruction functions similarly: it creates an if statement which can have an optional Else instruction. If statements are structured either: If ... End, or If ... Else ... End.

Function, Call, and Return

The Function instruction declares a function, and is terminated with a matching End block. Instructions inbetween the Function and End block are the function's body. The body of the function is only executed when the function is called.

The Call instruction calls the registerth defined function in the program. If the register is 0, it will call the first function defined in the program. Calling on negative values halts the machine. Whenever the called function returns, it resumes execution where it was called.

The Return instruction makes the current function return early. Outside of a function body, this causes the program to terminate.

Fundamental

These are the most basic, simplest, general purpose instructions.

Set

The Set instruction takes a constant integer argument, and sets the register to that value.

Set

Save and Restore

The Save instruction writes the value of the register to the cell at the pointer: *ptr = register. The Restore instruction is the inverse: register = *ptr.

Save Restore

Get and Put

The Get instruction receives a value from the interface I/O device, and stores it in the register. The Put instruction sends the value of the register to the interface I/O device.

End

The End instruction has no use on its own: its only purpose is to serve as a matching instruction for the While, If, Else, and Function instructions.