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Last update Tue Jun 30 11:31:48 2009

# Arrays

There are four kinds of arrays:

Kinds of Arrays
Syntax | Description
--- | ---
type* | Pointers to data
type[integer] | Static arrays
type[] | Dynamic arrays
type[type] | Associative arrays

### Pointers

    int* p;

These are simple pointers to data, analogous to C pointers. Pointers are provided for interfacing with C and for specialized systems work. There is no length associated with it, and so there is no way for the compiler or runtime to do bounds checking, etc., on it. Most conventional uses for pointers can be replaced with dynamic arrays, `out` and `ref` parameters, and reference types.

### Static Arrays

    int[3] s;

These are analogous to C arrays. Static arrays are distinguished by having a length fixed at compile time.

The total size of a static array cannot exceed 16Mb. A dynamic array should be used instead for such large arrays.

A static array with a dimension of 0 is allowed, but no space is allocated for it. It's useful as the last member of a variable length struct, or as the degenerate case of a template expansion.

### Dynamic Arrays

    int[] a;

Dynamic arrays consist of a length and a pointer to the array data. Multiple dynamic arrays can share all or parts of the array data.

## Array Declarations

There are two ways to declare arrays, prefix and postfix. The prefix form is the preferred method, especially for non-trivial types.

#### Prefix Array Declarations

Prefix declarations appear before the identifier being declared and read right to left, so:

    int[] a;	// dynamic array of ints
    int[4][3] b;	// array of 3 arrays of 4 ints each
    int[][5] c;	// array of 5 dynamic arrays of ints.
    int*[]*[3] d;	// array of 3 pointers to dynamic arrays of pointers to ints
    int[]* e;	// pointer to dynamic array of ints

#### Postfix Array Declarations

Postfix declarations appear after the identifier being declared and read left to right. Each group lists equivalent declarations:

    // dynamic array of ints
    int[] a;
    int a[];

    // array of 3 arrays of 4 ints each
    int[4][3] b;
    int[4] b[3];
    int b[3][4];

    // array of 5 dynamic arrays of ints.
    int[][5] c;
    int[] c[5];
    int c[5][];

    // array of 3 pointers to dynamic arrays of pointers to ints
    int*[]*[3] d;
    int*[]* d[3];
    int* (*d[3])[];

    // pointer to dynamic array of ints
    int[]* e;
    int (*e)[];

Rationale: The postfix form matches the way arrays are declared in C and C++, and supporting this form provides an easy migration path for programmers used to it.

## Usage

There are two broad kinds of operations to do on an array - affecting the handle to the array, and affecting the contents of the array. C only has operators to affect the handle. In D, both are accessible.

The handle to an array is specified by naming the array, as in p, s or a:

    int* p;
    int[3] s;
    int[] a;

    int* q;
    int[3] t;
    int[] b;

    p = q;		// p points to the same thing q does.
    p = s;		// p points to the first element of the array s.
    p = a;		// p points to the first element of the array a.

    s = ...;	// error, since s is a compiled in static
    		// reference to an array.

    a = p;		// error, since the length of the array pointed
    		// to by p is unknown
    a = s;		// a is initialized to point to the s array
    a = b;		// a points to the same array as b does

## Slicing

Slicing an array means to specify a subarray of it. An array slice does not copy the data, it is only another reference to it. For example:

    int[10] a;	// declare array of 10 ints
    int[] b;

    b = a[1..3];	// a[1..3] is a 2 element array consisting of
    		// a[1] and a[2]
    foo(b[1]);	// equivalent to foo(0)
    a[2] = 3;
    foo(b[1]);	// equivalent to foo(3)

The [] is shorthand for a slice of the entire array. For example, the assignments to b:

    int[10] a;
    int[] b;

    b = a;
    b = a[];
    b = a[0 .. a.length];

are all semantically equivalent.

Slicing is not only handy for referring to parts of other arrays, but for converting pointers into bounds-checked arrays:

    int* p;
    int[] b = p[0..8];

## Array Copying

When the slice operator appears as the lvalue of an assignment expression, it means that the contents of the array are the target of the assignment rather than a reference to the array. Array copying happens when the lvalue is a slice, and the rvalue is an array of or pointer to the same type.

    int[3] s;
    int[3] t;

    s[] = t;		// the 3 elements of t[3] are copied into s[3]
    s[] = t[];		// the 3 elements of t[3] are copied into s[3]
    s[1..2] = t[0..1];	// same as s[1] = t[0]
    s[0..2] = t[1..3];	// same as s[0] = t[1], s[1] = t[2]
    s[0..4] = t[0..4];	// error, only 3 elements in s
    s[0..2] = t;		// error, different lengths for lvalue and rvalue

Overlapping copies are an error:

    s[0..2] = s[1..3];	// error, overlapping copy
    s[1..3] = s[0..2];	// error, overlapping copy

Disallowing overlapping makes it possible for more aggressive parallel code optimizations than possible with the serial semantics of C.

## Array Setting

If a slice operator appears as the lvalue of an assignment expression, and the type of the rvalue is the same as the element type of the lvalue, then the lvalue's array contents are set to the rvalue.

    int[3] s;
    int* p;

    s[] = 3;		// same as s[0] = 3, s[1] = 3, s[2] = 3
    p[0..2] = 3;		// same as p[0] = 3, p[1] = 3

## Array Concatenation

The binary operator ~ is the cat operator. It is used to concatenate arrays:

    int[] a;
    int[] b;
    int[] c;

    a = b ~ c;	// Create an array from the concatenation of the
    		// b and c arrays

Many languages overload the + operator to mean concatenation. This confusingly leads to, does:

    "10" + 3

produce the number 13 or the string "103" as the result? It isn't obvious, and the language designers wind up carefully writing rules to disambiguate it - rules that get incorrectly implemented, overlooked, forgotten, and ignored. It's much better to have + mean addition, and a separate operator to be array concatenation.

Similarly, the ~= operator means append, as in:

    a ~= b;		// a becomes the concatenation of a and b

Concatenation always creates a copy of its operands, even if one of the operands is a 0 length array, so:

    a = b;			// a refers to b
    a = b ~ c[0..0];	// a refers to a copy of b

## Array Operations

Many array operations, also known as vector operations, can be expressed at a high level rather than as a loop. For example, the loop:

    T[] a, b;
    ...
    for (size_t i = 0; i < a.length; i++)
        a[i] = b[i] + 4;

assigns to the elements of `a` the elements of `b` with `4` added to each. This can also be expressed in vector notation as:

    T[] a, b;
    ...
    a[] = b[] + 4;

A vector operation is indicated by the slice operator appearing as the lvalue of an =, +=, -=, *=, /=, %=, ^=, &= or |= operator. The rvalue can be an expression consisting either of an array slice of the same length and type as the lvalue or an expression of the element type of the lvalue, in any combination. The operators supported for vector operations are the binary operators +, -, *, /, %, ^, & and |, and the unary operators - and ~.

The lvalue slice and any rvalue slices must not overlap. The vector assignment operators are evaluated right to left, and the other binary operators are evaluated left to right. All operands are evaluated exactly once, even if the array slice has zero elements in it.

The order in which the array elements are computed is implementation defined, and may even occur in parallel. An application must not depend on this order.

Implementation note: many of the more common vector operations are expected to take advantage of any vector math instructions available on the target computer.

## Pointer Arithmetic

    int[3] abc;			// static array of 3 ints
    int[] def = [ 1, 2, 3 ];	// dynamic array of 3 ints

    void dibb(int* array)
    {
    	array[2];		// means same thing as *(array + 2)
    	*(array + 2);		// get 3rd element
    }

    void diss(int[] array)
    {
    	array[2];		// ok
    	*(array + 2);		// error, array is not a pointer
    }

    void ditt(int[3] array)
    {
    	array[2];		// ok
    	*(array + 2);		// error, array is not a pointer
    }

## Rectangular Arrays

Experienced FORTRAN numerics programmers know that multidimensional "rectangular" arrays for things like matrix operations are much faster than trying to access them via pointers to pointers resulting from "array of pointers to array" semantics. For example, the D syntax:

    double[][] matrix;

declares matrix as an array of pointers to arrays. (Dynamic arrays are implemented as pointers to the array data.) Since the arrays can have varying sizes (being dynamically sized), this is sometimes called "jagged" arrays. Even worse for optimizing the code, the array rows can sometimes point to each other! Fortunately, D static arrays, while using the same syntax, are implemented as a fixed rectangular layout:

    double[3][3] matrix;

declares a rectangular matrix with 3 rows and 3 columns, all contiguously in memory. In other languages, this would be called a multidimensional array and be declared as:

    double matrix[3,3];

## Array Length

Within the [ ] of a static or a dynamic array, the variable length is implicitly declared and set to the length of the array. The symbol $ can also be so used.

    int[4] foo;
    int[]  bar = foo;
    int*   p = &foo[0];

    // These expressions are equivalent:
    bar[]
    bar[0 .. 4]
    bar[0 .. length]
    bar[0 .. $]
    bar[0 .. bar.length]

    p[0 .. length]		// 'length' is not defined, since p is not an array
    bar[0]+length		// 'length' is not defined, out of scope of [ ]

    bar[length-1]	// retrieves last element of the array

## Array Properties

Static array properties are:

Static Array Properties
Property | Description
--- | ---
.sizeof | Returns the array length multiplied by the number of bytes per array element.
.length | Returns the number of elements in the array. This is a fixed quantity for static arrays. It is of type size_t.
.ptr | Returns a pointer to the first element of the array.
.dup | Create a dynamic array of the same size and copy the contents of the array into it.
.idup | Create a dynamic array of the same size and copy the contents of the array into it. The copy is typed as being invariant. D 2.0 only
.reverse | Reverses in place the order of the elements in the array. Returns the array.
.sort | Sorts in place the order of the elements in the array. Returns the array.

Dynamic array properties are:

Dynamic Array Properties
Property | Description
--- | ---
.sizeof | Returns the size of the dynamic array reference, which is 8 on 32 bit machines.
.length | Get/set number of elements in the array. It is of type size_t.
.ptr | Returns a pointer to the first element of the array.
.dup | Create a dynamic array of the same size and copy the contents of the array into it.
.idup | Create a dynamic array of the same size and copy the contents of the array into it. The copy is typed as being invariant. D 2.0 only
.reverse | Reverses in place the order of the elements in the array. Returns the array.
.sort | Sorts in place the order of the elements in the array. Returns the array.

For the .sort property to work on arrays of class objects, the class definition must define the function: `int opCmp(Object)`. This is used to determine the ordering of the class objects. Note that the parameter is of type `Object`, not the type of the class.

For the .sort property to work on arrays of structs or unions, the struct or union definition must define the function: `int opCmp(S)` or `int opCmp(S*)`. The type `S` is the type of the struct or union. This function will determine the sort ordering.

Examples:

    p.length	// error, length not known for pointer
    s.length	// compile time constant 3
    a.length	// runtime value

    p.dup		// error, length not known
    s.dup		// creates an array of 3 elements, copies
    		// elements s into it
    a.dup		// creates an array of a.length elements, copies
    		// elements of a into it

### Setting Dynamic Array Length

The `.length` property of a dynamic array can be set as the lvalue of an = operator:

    array.length = 7;

This causes the array to be reallocated in place, and the existing contents copied over to the new array. If the new array length is shorter, only enough are copied to fill the new array. If the new array length is longer, the remainder is filled out with the default initializer.

To maximize efficiency, the runtime always tries to resize the array in place to avoid extra copying. It will always do a copy if the new size is larger and the array was not allocated via the new operator or a previous resize operation.

This means that if there is an array slice immediately following the array being resized, the resized array could overlap the slice; i.e.:

    char[] a = new char[20];
    char[] b = a[0..10];
    char[] c = a[10..20];

    b.length = 15;	// always resized in place because it is sliced
    		// from a[] which has enough memory for 15 chars
    b[11] = 'x';	// a[11] and c[1] are also affected

    a.length = 1;
    a.length = 20;	// no net change to memory layout

    c.length = 12;	// always does a copy because c[] is not at the
    		// start of a gc allocation block
    c[5] = 'y';	// does not affect contents of a[] or b[]

    a.length = 25;	// may or may not do a copy
    a[3] = 'z';	// may or may not affect b[3] which still overlaps
    		// the old a[3]

To guarantee copying behavior, use the .dup property to ensure a unique array that can be resized.

These issues also apply to concatenating arrays with the ~ and ~= operators.

Resizing a dynamic array is a relatively expensive operation. So, while the following method of filling an array:

    int[] array;
    while (1)
    {   c = getinput();
        if (!c)
           break;
        array.length = array.length + 1;
        array[array.length - 1] = c;
    }

will work, it will be inefficient. A more practical approach would be to minimize the number of resizes:

    int[] array;
    array.length = 100;        // guess
    for (i = 0; 1; i++)
    {   c = getinput();
         if (!c)
    	break;
         if (i == array.length)
    	array.length = array.length * 2;
         array[i] = c;
    }
    array.length = i;

Picking a good initial guess is an art, but you usually can pick a value covering 99% of the cases. For example, when gathering user input from the console - it's unlikely to be longer than 80.

### Functions as Array Properties

If the first parameter to a function is an array, the function can be called as if it were a property of the array:

    int[] array;
    void foo(int[] a, int x);

    foo(array, 3);
    array.foo(3);	// means the same thing

## Array Bounds Checking

It is an error to index an array with an index that is less than 0 or greater than or equal to the array length. If an index is out of bounds, an ArrayBoundsError exception is raised if detected at runtime, and an error if detected at compile time. A program may not rely on array bounds checking happening, for example, the following program is incorrect:

    try
    {
        for (i = 0; ; i++)
        {
    	array[i] = 5;
        }
    }
    catch (ArrayBoundsError)
    {
        // terminate loop
    }

The loop is correctly written:

    for (i = 0; i < array.length; i++)
    {
        array[i] = 5;
    }

Implementation Note: Compilers should attempt to detect array bounds errors at compile time, for example:

    int[3] foo;
    int x = foo[3];		// error, out of bounds

Insertion of array bounds checking code at runtime should be turned on and off with a compile time switch.

## Array Initialization

### Default Initialization

- Pointers are initialized to null.
- Static array contents are initialized to the default initializer for the array element type.
- Dynamic arrays are initialized to having 0 elements.
- Associative arrays are initialized to having 0 elements.

### Void Initialization

Void initialization happens when the Initializer for an array is void. What it means is that no initialization is done, i.e. the contents of the array will be undefined. This is most useful as an efficiency optimization. Void initializations are an advanced technique and should only be used when profiling indicates that it matters.

### Static Initialization of Static Arrays

Static initalizations are supplied by a list of array element values enclosed in [ ]. The values can be optionally preceded by an index and a :. If an index is not supplied, it is set to the previous index plus 1, or 0 if it is the first value.

    int[3] a = [ 1:2, 3 ];		// a[0] = 0, a[1] = 2, a[2] = 3

This is most handy when the array indices are given by enums:

    enum Color { red, blue, green };

    int value[Color.max + 1] = [ Color.blue:6, Color.green:2, Color.red:5 ];

These arrays are static when they appear in global scope. Otherwise, they need to be marked with const or static storage classes to make them static arrays.

## Special Array Types

### Strings

A string is an array of characters. String literals are just an easy way to write character arrays. String literals are immutable (read only).

    char[] str1 = "abc";                // error, "abc" is not mutable
    char[] str2 = "abc".dup;            // ok, make mutable copy
    invariant(char)[] str3 = "abc";     // ok
    invariant(char)[] str4 = str1;      // error, str4 is not mutable
    invariant(char)[] str5 = str1.idup; // ok, make invariant copy

The name `string` is aliased to `invariant(char)[]`, so the above declarations could be equivalently written as:

    char[] str1 = "abc";       // error, "abc" is not mutable
    char[] str2 = "abc".dup;   // ok, make mutable copy
    string str3 = "abc";       // ok
    string str4 = str1;        // error, str4 is not mutable
    string str5 = str1.idup;   // ok, make invariant copy

`char[]` strings are in UTF-8 format. `wchar[]` strings are in UTF-16 format. `dchar[]` strings are in UTF-32 format.

Strings can be copied, compared, concatenated, and appended:

    str1 = str2;
    if (str1 < str3) ...
    func(str3 ~ str4);
    str4 ~= str1;

with the obvious semantics. Any generated temporaries get cleaned up by the garbage collector (or by using `alloca()`). Not only that, this works with any array not just a special String array.

A pointer to a char can be generated:

    char* p = &str[3];	// pointer to 4th element
    char* p = str;		// pointer to 1st element

Since strings, however, are not 0 terminated in D, when transferring a pointer to a string to C, add a terminating 0:

    str ~= "\0";

or use the function `std.string.toStringz`.

The type of a string is determined by the semantic phase of compilation. The type is one of: char[], wchar[], dchar[], and is determined by implicit conversion rules. If there are two equally applicable implicit conversions, the result is an error. To disambiguate these cases, a cast or a postfix of c, w or d can be used:

    cast(wchar [])"abc"	// this is an array of wchar characters
    "abc"w			// so is this

String literals that do not have a postfix character and that have not been cast can be implicitly converted between char[], wchar[], and dchar[] as necessary.

    char c;
    wchar w;
    dchar d;

    c = 'b';		// c is assigned the character 'b'
    w = 'b';		// w is assigned the wchar character 'b'
    w = 'bc';		// error - only one wchar character at a time
    w = "b"[0];		// w is assigned the wchar character 'b'
    w = \r[0];		// w is assigned the carriage return wchar character
    d = 'd';		// d is assigned the character 'd'

#### C's printf() and Strings

printf() is a C function and is not part of D. printf() will print C strings, which are 0 terminated. There are two ways to use printf() with D strings. The first is to add a terminating 0, and cast the result to a char*:

    str ~= "\0";
    printf("the string is '%s'\n", cast(char*)str);

or:

    import std.string;
    printf("the string is '%s'\n", std.string.toStringz(str));

String literals already have a 0 appended to them, so can be used directly:

    printf("the string is '%s'\n", cast(char*)"string literal");

So, why does the first string literal to printf not need the cast? The first parameter is prototyped as a char*, and a string literal can be implicitly cast to a char*. The rest of the arguments to printf, however, are variadic (specified by ...), and a string literal is passed as a (length,pointer) combination to variadic parameters.

The second way is to use the precision specifier. The way D arrays are laid out, the length comes first, so the following works:

    printf("the string is '%.*s'\n", str);

The best way is to use std.stdio.writefln, which can handle D strings:

    import std.stdio;
    writefln("the string is '%s'", str);

### Implicit Conversions

A pointer `T*` can be implicitly converted to one of the following:

- `void*`

A static array `T[dim]` can be implicitly converted to one of the following:

- `T[]`
- `U[]`
- `void[]`

A dynamic array `T[]` can be implicitly converted to one of the following:

- `U[]`
- `void[]`

Where U is a base class of T.

# Associative Arrays

Associative arrays have an index that is not necessarily an integer, and can be sparsely populated. The index for an associative array is called the key, and its type is called the KeyType.

Associative arrays are declared by placing the KeyType within the [] of an array declaration:

    int[char[]] b;		// associative array b of ints that are
    			// indexed by an array of characters.
    			// The KeyType is char[]
    b["hello"] = 3;		// set value associated with key "hello" to 3
    func(b["hello"]);	// pass 3 as parameter to func()

Particular keys in an associative array can be removed with the remove function:

    b.remove("hello");

The InExpression yields a pointer to the value if the key is in the associative array, or null if not:

    int* p;
    p = ("hello" in b);
    if (p != null)
    	...

KeyTypes cannot be functions or voids.

### Using Classes as the KeyType

Classes can be used as the KeyType. For this to work, the class definition must override the following member functions of class `Object`:

- `hash_t toHash()`
- `bool opEquals(Object)`
- `int opCmp(Object)`

`hash_t` is an alias to an integral type.

Note that the parameter to `opCmp` and `opEquals` is of type `Object`, not the type of the class in which it is defined.

For example:

    class Foo
    {
        int a, b;

        hash_t toHash() { return a + b; }

        bool opEquals(Object o)
        {	Foo f = cast(Foo) o;
    	return f && a == foo.a && b == foo.b;
        }

        int opCmp(Object o)
        {	Foo f = cast(Foo) o;
    	if (!f)
    	    return -1;
    	if (a == foo.a)
    	    return b - foo.b;
    	return a - foo.a;
        }
    }

The implementation may use either `opEquals` or `opCmp` or both. Care should be taken so that the results of `opEquals` and `opCmp` are consistent with each other when the class objects are the same or not.

### Using Structs or Unions as the KeyType

If the KeyType is a struct or union type, a default mechanism is used to compute the hash and comparisons of it based on the binary data within the struct value. A custom mechanism can be used by providing the following functions as struct members:

    const hash_t toHash();
    const bool opEquals(ref const KeyType s);
    const int opCmp(ref const KeyType s);

For example:

    import std.string;

    struct MyString
    {
        string str;

        const hash_t toHash()
        {   hash_t hash;
    	foreach (char c; s)
    	    hash = (hash * 9) + c;
    	return hash;
        }

        const bool opEquals(ref const MyString s)
        {
    	return std.string.cmp(this.str, s.str) == 0;
        }

        const int opCmp(ref const MyString s)
        {
    	return std.string.cmp(this.str, s.str);
        }
    }

The implementation may use either `opEquals` or `opCmp` or both. Care should be taken so that the results of `opEquals` and `opCmp` are consistent with each other when the struct/union objects are the same or not.

### Properties

Properties for associative arrays are:

Associative Array Properties
Property | Description
--- | ---
.sizeof | Returns the size of the reference to the associative array; it is typically 8.
.length | Returns number of values in the associative array. Unlike for dynamic arrays, it is read-only.
.keys | Returns dynamic array, the elements of which are the keys in the associative array.
.values | Returns dynamic array, the elements of which are the values in the associative array.
.rehash | Reorganizes the associative array in place so that lookups are more efficient. rehash is effective when, for example, the program is done loading up a symbol table and now needs fast lookups in it. Returns a reference to the reorganized array.

### Associative Array Example: word count

    import std.file;         // D file I/O
    import std.stdio;

    int main (string[] args)
    {
        int word_total;
        int line_total;
        int char_total;
        int[char[]] dictionary;

        writefln("   lines   words   bytes file");
        for (int i = 1; i < args.length; ++i)      // program arguments
        {
    	char[] input;            // input buffer
    	int w_cnt, l_cnt, c_cnt; // word, line, char counts
    	int inword;
    	int wstart;

    	// read file into input[]
    	input = cast(char[])std.file.read(args[i]);

    	foreach (j, char c; input)
    	{
    	    if (c == '\n')
    		    ++l_cnt;
    	    if (c >= '0' && c <= '9')
    	    {
    	    }
    	    else if (c >= 'a' && c <= 'z' ||
    		    c >= 'A' && c <= 'Z')
    	    {
    		if (!inword)
    		{
    		    wstart = j;
    		    inword = 1;
    		    ++w_cnt;
    		}
    	    }
    	    else if (inword)
    	    {
    		char[] word = input[wstart .. j];
    		dictionary[word]++;        // increment count for word
    		inword = 0;
    	    }
    	    ++c_cnt;
    	}
    	if (inword)
    	{
    	    char[] word = input[wstart .. input.length];
    	    dictionary[word]++;
    	}
    	writefln("%8d%8d%8d %s", l_cnt, w_cnt, c_cnt, args[i]);
    	line_total += l_cnt;
    	word_total += w_cnt;
    	char_total += c_cnt;
        }

        if (args.length > 2)
        {
    	writef("-------------------------------------\n%8d%8d%8d total",
    		line_total, word_total, char_total);
        }

        writefln("-------------------------------------");
        foreach (word; dictionary.keys.sort)
        {
    	writefln("%3d %s", dictionary[word], word);
        }
        return 0;
    }

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