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Declares an object of array type.
Syntax Assignment Array-to-pointer decay Multidimensional arrays Arrays of unknown bound Array rvalues Defect reports See also |
An array declaration is any simple declaration whose declarator has the form
noptr-declarator expr (optional) attr (optional) | |||||||||
noptr-declarator | - | any valid declarator, but if it begins with , , or , it has to be surrounded by parentheses (otherwise the whole declarator is treated as a or ). |
expr | - | an (until C++14)a of type (since C++14), which evaluates to a value greater than zero |
attr | - | (since C++11) list of |
A declaration of the form T a [ N ] ; , declares a as an array object that consists of N contiguously allocated objects of type T . The elements of an array are numbered 0 , …, N - 1 , and may be accessed with the subscript operator [] , as in a [ 0 ] , …, a [ N - 1 ] .
Arrays can be constructed from any fundamental type (except void ), pointers , pointers to members , classes , enumerations , or from other arrays of known bound (in which case the array is said to be multi-dimensional). In other words, only object types except for array types of unknown bound can be element types of array types. Array types of incomplete element type are also incomplete types.
The possibly (since C++20) specifier can be used as array element type in the declaration of a pointer or reference to array, which deduces the element type from the initializer or the function argument(since C++14), e.g. auto (*p)[42] = &a; is valid if a is an lvalue of type int[42]. | (since C++11) |
There are no arrays of references or arrays of functions.
Applying cv-qualifiers to an array type (through typedef or template type manipulation) applies the qualifiers to the element type, but any array type whose elements are of cv-qualified type is considered to have the same cv-qualification.
When used with new[]-expression , the size of an array may be zero; such an array has no elements:
Objects of array type cannot be modified as a whole: even though they are lvalues (e.g. an address of array can be taken), they cannot appear on the left hand side of an assignment operator:
There is an implicit conversion from lvalues and rvalues of array type to rvalues of pointer type: it constructs a pointer to the first element of an array. This conversion is used whenever arrays appear in context where arrays are not expected, but pointers are:
When the element type of an array is another array, it is said that the array is multidimensional:
Note that when array-to-pointer decay is applied, a multidimensional array is converted to a pointer to its first element (e.g., a pointer to its first row or to its first plane): array-to-pointer decay is applied only once.
If expr is omitted in the declaration of an array, the type declared is "array of unknown bound of T", which is a kind of incomplete type , except when used in a declaration with an aggregate initializer :
Because array elements cannot be arrays of unknown bound, multidimensional arrays cannot have unknown bound in a dimension other than the first:
If there is a preceding declaration of the entity in the same scope in which the bound was specified, an omitted array bound is taken to be the same as in that earlier declaration, and similarly for the definition of a static data member of a class:
References and pointers to arrays of unknown bound can be formed, but cannot (until C++20) and can (since C++20) be initialized or assigned from arrays and pointers to arrays of known bound. Note that in the C programming language, pointers to arrays of unknown bound are compatible with pointers to arrays of known bound and are thus convertible and assignable in both directions.
Pointers to arrays of unknown bound cannot participate in pointer arithmetic and cannot be used on the left of the subscript operator , but can be dereferenced.
Although arrays cannot be returned from functions by value and cannot be targets of most cast expressions, array prvalues may be formed by using a type alias to construct an array temporary using brace-initialized functional cast .
Like class prvalues, array prvalues convert to xvalues by when evaluated. | (since C++17) |
Array xvalues may be formed directly by accessing an array member of a class rvalue or by using std::move or another cast or function call that returns an rvalue reference.
The following behavior-changing defect reports were applied retroactively to previously published C++ standards.
DR | Applied to | Behavior as published | Correct behavior |
---|---|---|---|
C++98 | a pointer or reference to an array of unknown bound could not be a function parameter | allowed | |
C++98 | when omitted, the bound of an array could not be inferred from a previous declaration | inference allowed | |
C++98 | the bound of an array static data member could not be omitted even if an initializer is provided | omission allowed | |
C++11 | auto could not be used as element type | allowed |
for Array declaration |
An array name is a constant pointer to the first element of the array. Therefore, in this declaration,
balance is a pointer to &balance[0] , which is the address of the first element of the array.
In this code, we have a pointer ptr that points to the address of the first element of an integer array called balance .
In all the three cases, you get the same output −
If you fetch the value stored at the address that ptr points to, that is *ptr , then it will return 1 .
It is legal to use array names as constant pointers and vice versa. Therefore, *(balance + 4) is a legitimate way of accessing the data at balance[4] .
Once you store the address of the first element in " ptr ", you can access the array elements using *ptr , *(ptr + 1) , *(ptr + 2) , and so on.
The following example demonstrates all the concepts discussed above −
When you run this code, it will produce the following output −
In the above example, ptr is a pointer that can store the address of a variable of double type. Once we have the address in ptr , *ptr will give us the value available at the address stored in ptr .
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This chapter introduces collections of data which are ordered by an index value. This includes arrays and array-like constructs such as Array objects and TypedArray objects.
An array is an ordered list of values that you refer to with a name and an index.
For example, consider an array called emp , which contains employees' names indexed by their numerical employee number. So emp[0] would be employee number zero, emp[1] employee number one, and so on.
JavaScript does not have an explicit array data type. However, you can use the predefined Array object and its methods to work with arrays in your applications. The Array object has methods for manipulating arrays in various ways, such as joining, reversing, and sorting them. It has a property for determining the array length and other properties for use with regular expressions.
We will be focusing on arrays in this article, but many of the same concepts apply to typed arrays as well, since arrays and typed arrays share many similar methods. For more information on typed arrays, see the typed array guide .
The following statements create equivalent arrays:
element0, element1, …, elementN is a list of values for the array's elements. When these values are specified, the array is initialized with them as the array's elements. The array's length property is set to the number of arguments.
The bracket syntax is called an "array literal" or "array initializer." It's shorter than other forms of array creation, and so is generally preferred. See Array literals for details.
To create an array with non-zero length, but without any items, either of the following can be used:
Note: In the above code, arrayLength must be a Number . Otherwise, an array with a single element (the provided value) will be created. Calling arr.length will return arrayLength , but the array doesn't contain any elements. A for...in loop will not find any property on the array.
In addition to a newly defined variable as shown above, arrays can also be assigned as a property of a new or an existing object:
If you wish to initialize an array with a single element, and the element happens to be a Number , you must use the bracket syntax. When a single Number value is passed to the Array() constructor or function, it is interpreted as an arrayLength , not as a single element.
This creates an array with only one element: the number 42.
This creates an array with no elements and arr.length set to 42.
This is equivalent to:
Calling Array(N) results in a RangeError , if N is a non-whole number whose fractional portion is non-zero. The following example illustrates this behavior.
If your code needs to create arrays with single elements of an arbitrary data type, it is safer to use array literals. Alternatively, create an empty array first before adding the single element to it.
You can also use the Array.of static method to create arrays with single element.
Because elements are also properties, you can access them using property accessors . Suppose you define the following array:
You can refer to the first element of the array as myArray[0] , the second element of the array as myArray[1] , etc… The index of the elements begins with zero.
Note: You can also use property accessors to access other properties of the array, like with an object.
You can populate an array by assigning values to its elements. For example:
Note: If you supply a non-integer value to the array operator in the code above, a property will be created in the object representing the array, instead of an array element.
You can also populate an array when you create it:
At the implementation level, JavaScript's arrays actually store their elements as standard object properties, using the array index as the property name.
The length property is special. Its value is always a positive integer greater than the index of the last element if one exists. (In the example below, 'Dusty' is indexed at 30 , so cats.length returns 30 + 1 ).
Remember, JavaScript Array indexes are 0-based: they start at 0 , not 1 . This means that the length property will be one more than the highest index stored in the array:
You can also assign to the length property.
Writing a value that is shorter than the number of stored items truncates the array. Writing 0 empties it entirely:
A common operation is to iterate over the values of an array, processing each one in some way. The simplest way to do this is as follows:
If you know that none of the elements in your array evaluate to false in a boolean context—if your array consists only of DOM nodes, for example—you can use a more efficient idiom:
This avoids the overhead of checking the length of the array, and ensures that the div variable is reassigned to the current item each time around the loop for added convenience.
The forEach() method provides another way of iterating over an array:
The function passed to forEach is executed once for every item in the array, with the array item passed as the argument to the function. Unassigned values are not iterated in a forEach loop.
Note that the elements of an array that are omitted when the array is defined are not listed when iterating by forEach , but are listed when undefined has been manually assigned to the element:
Since JavaScript array elements are saved as standard object properties, it is not advisable to iterate through JavaScript arrays using for...in loops, because normal elements and all enumerable properties will be listed.
The Array object has the following methods:
The concat() method joins two or more arrays and returns a new array.
The join() method joins all elements of an array into a string.
The push() method adds one or more elements to the end of an array and returns the resulting length of the array.
The pop() method removes the last element from an array and returns that element.
The shift() method removes the first element from an array and returns that element.
The unshift() method adds one or more elements to the front of an array and returns the new length of the array.
The slice() method extracts a section of an array and returns a new array.
The at() method returns the element at the specified index in the array, or undefined if the index is out of range. It's notably used for negative indices that access elements from the end of the array.
The splice() method removes elements from an array and (optionally) replaces them. It returns the items which were removed from the array.
The reverse() method transposes the elements of an array, in place: the first array element becomes the last and the last becomes the first. It returns a reference to the array.
The flat() method returns a new array with all sub-array elements concatenated into it recursively up to the specified depth.
The sort() method sorts the elements of an array in place, and returns a reference to the array.
sort() can also take a callback function to determine how array elements are compared. The callback function is called with two arguments, which are two values from the array. The function compares these two values and returns a positive number, negative number, or zero, indicating the order of the two values. For instance, the following will sort the array by the last letter of a string:
The indexOf() method searches the array for searchElement and returns the index of the first match.
The lastIndexOf() method works like indexOf , but starts at the end and searches backwards.
The forEach() method executes callback on every array item and returns undefined .
The forEach method (and others below) that take a callback are known as iterative methods , because they iterate over the entire array in some fashion. Each one takes an optional second argument called thisArg . If provided, thisArg becomes the value of the this keyword inside the body of the callback function. If not provided, as with other cases where a function is invoked outside of an explicit object context, this will refer to the global object ( window , globalThis , etc.) when the function is not strict , or undefined when the function is strict.
Note: The sort() method introduced above is not an iterative method, because its callback function is only used for comparison and may not be called in any particular order based on element order. sort() does not accept the thisArg parameter either.
The map() method returns a new array of the return value from executing callback on every array item.
The flatMap() method runs map() followed by a flat() of depth 1.
The filter() method returns a new array containing the items for which callback returned true .
The find() method returns the first item for which callback returned true .
The findLast() method returns the last item for which callback returned true .
The findIndex() method returns the index of the first item for which callback returned true .
The findLastIndex() method returns the index of the last item for which callback returned true .
The every() method returns true if callback returns true for every item in the array.
The some() method returns true if callback returns true for at least one item in the array.
The reduce() method applies callback(accumulator, currentValue, currentIndex, array) for each value in the array for the purpose of reducing the list of items down to a single value. The reduce function returns the final value returned by callback function.
If initialValue is specified, then callback is called with initialValue as the first parameter value and the value of the first item in the array as the second parameter value.
If initialValue is not specified, then callback 's first two parameter values will be the first and second elements of the array. On every subsequent call, the first parameter's value will be whatever callback returned on the previous call, and the second parameter's value will be the next value in the array.
If callback needs access to the index of the item being processed, or access to the entire array, they are available as optional parameters.
The reduceRight() method works like reduce() , but starts with the last element.
reduce and reduceRight are the least obvious of the iterative array methods. They should be used for algorithms that combine two values recursively in order to reduce a sequence down to a single value.
You can transform back and forth between arrays and other data structures.
The Object.groupBy() method can be used to group the elements of an array, using a test function that returns a string indicating the group of the current element.
Here we have a simple inventory array that contains "food" objects that have a name and a type .
To use Object.groupBy() , you supply a callback function that is called with the current element, and optionally the current index and array, and returns a string indicating the group of the element.
The code below uses an arrow function to return the type of each array element (this uses object destructuring syntax for function arguments to unpack the type element from the passed object). The result is an object that has properties named after the unique strings returned by the callback. Each property is assigned an array containing the elements in the group.
Note that the returned object references the same elements as the original array (not deep copies ). Changing the internal structure of these elements will be reflected in both the original array and the returned object.
If you can't use a string as the key, for example, if the information to group is associated with an object that might change, then you can instead use Map.groupBy() . This is very similar to Object.groupBy() except that it groups the elements of the array into a Map that can use an arbitrary value ( object or primitive ) as a key.
Arrays can contain "empty slots", which are not the same as slots filled with the value undefined . Empty slots can be created in one of the following ways:
In some operations, empty slots behave as if they are filled with undefined .
But in others (most notably array iteration methods), empty slots are skipped.
For a complete list of how array methods behave with sparse arrays, see the Array reference page .
Arrays can be nested, meaning that an array can contain another array as an element. Using this characteristic of JavaScript arrays, multi-dimensional arrays can be created.
The following code creates a two-dimensional array.
This example creates an array with the following rows:
Arrays can also be used like objects, to store related information.
For example, when an array is the result of a match between a regular expression and a string, the array returns properties and elements that provide information about the match. An array is the return value of RegExp.prototype.exec() , String.prototype.match() , and String.prototype.split() . For information on using arrays with regular expressions, see Regular Expressions .
Some JavaScript objects, such as the NodeList returned by document.getElementsByTagName() or the arguments object made available within the body of a function, look and behave like arrays on the surface but do not share all of their methods. The arguments object provides a length attribute but does not implement array methods like forEach() .
Array methods cannot be called directly on array-like objects.
But you can call them indirectly using Function.prototype.call() .
Array prototype methods can be used on strings as well, since they provide sequential access to their characters in a similar way to arrays:
The SORT function sorts the contents of a range or array.
In this example, we're sorting by Region, Sales Rep, and Product individually with =SORT(A2:A17), copied across cells F2, H2, and J2.
SORT returns a sorted array of the elements in an array. The returned array is the same shape as the provided array argument.
=SORT(array,[sort_index],[sort_order],[by_col])
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|
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Required | The range, or array to sort |
Optional | A number indicating the row or column to sort by |
Optional | A number indicating the desired sort order; 1 for ascending order (default), -1 for descending order |
Optional | A logical value indicating the desired sort direction; FALSE to sort by row (default), TRUE to sort by column |
Where sort_index is not provided, row1/col1 will be presumed. Where order is not provided, ascending order will be presumed. By default Excel will sort by row, and will only sort by column where by_col is TRUE. When by_col is FALSE or missing Excel will sort by row.
The SORT function is provided to sort data in an array. If you want to sort data in the grid, it's better to use the SORTBY function , as it is more flexible. SORTBY will respect column additions/deletions, because it references a range, where SORT references a column index number.
An array can be thought of as a row of values, a column of values, or a combination of rows and columns of values. In the example above, the source array for our SORT formula is range A5:D20.
The SORT function will return an array, which will spill if it's the final result of a formula. This means that Excel will dynamically create the appropriate sized array range when you press ENTER . If your supporting data is in an Excel Table , then the array will automatically resize as you add or remove data from your array range if you're using Structured References . For more details see this article on Spilled Array Behavior .
Excel has limited support for dynamic arrays between workbooks, and this scenario is only supported when both workbooks are open. If you close the source workbook, any linked dynamic array formulas will return a #REF! error when they are refreshed.
Sort a range of values in descending order.
Use SORT and FILTER together to sort a range in ascending order, and limit it to values over 5,000.
You can always ask an expert in the Excel Tech Community or get support in Communities .
FILTER function
RANDARRAY function
SEQUENCE function
SORTBY function
UNIQUE function
#SPILL! errors in Excel
Dynamic arrays and spilled array behavior
Implicit intersection operator: @
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An ndarray is a (usually fixed-size) multidimensional container of items of the same type and size. The number of dimensions and items in an array is defined by its shape , which is a tuple of N non-negative integers that specify the sizes of each dimension. The type of items in the array is specified by a separate data-type object (dtype) , one of which is associated with each ndarray.
As with other container objects in Python, the contents of an ndarray can be accessed and modified by indexing or slicing the array (using, for example, N integers), and via the methods and attributes of the ndarray .
Different ndarrays can share the same data, so that changes made in one ndarray may be visible in another. That is, an ndarray can be a “view” to another ndarray, and the data it is referring to is taken care of by the “base” ndarray. ndarrays can also be views to memory owned by Python strings or objects implementing the buffer or array interfaces.
A 2-dimensional array of size 2 x 3, composed of 4-byte integer elements:
The array can be indexed using Python container-like syntax:
For example slicing can produce views of the array:
New arrays can be constructed using the routines detailed in Array creation routines , and also by using the low-level ndarray constructor:
(shape[, dtype, buffer, offset, ...]) | An array object represents a multidimensional, homogeneous array of fixed-size items. |
Arrays can be indexed using an extended Python slicing syntax, array[selection] . Similar syntax is also used for accessing fields in a structured data type .
Array Indexing .
An instance of class ndarray consists of a contiguous one-dimensional segment of computer memory (owned by the array, or by some other object), combined with an indexing scheme that maps N integers into the location of an item in the block. The ranges in which the indices can vary is specified by the shape of the array. How many bytes each item takes and how the bytes are interpreted is defined by the data-type object associated with the array.
A segment of memory is inherently 1-dimensional, and there are many different schemes for arranging the items of an N -dimensional array in a 1-dimensional block. NumPy is flexible, and ndarray objects can accommodate any strided indexing scheme . In a strided scheme, the N-dimensional index \((n_0, n_1, ..., n_{N-1})\) corresponds to the offset (in bytes):
from the beginning of the memory block associated with the array. Here, \(s_k\) are integers which specify the strides of the array. The column-major order (used, for example, in the Fortran language and in Matlab ) and row-major order (used in C) schemes are just specific kinds of strided scheme, and correspond to memory that can be addressed by the strides:
where \(d_j\) = self.shape[j] .
Both the C and Fortran orders are contiguous , i.e., single-segment, memory layouts, in which every part of the memory block can be accessed by some combination of the indices.
Contiguous arrays and single-segment arrays are synonymous and are used interchangeably throughout the documentation.
While a C-style and Fortran-style contiguous array, which has the corresponding flags set, can be addressed with the above strides, the actual strides may be different. This can happen in two cases:
If self.shape[k] == 1 then for any legal index index[k] == 0 . This means that in the formula for the offset \(n_k = 0\) and thus \(s_k n_k = 0\) and the value of \(s_k\) = self.strides[k] is arbitrary. If an array has no elements ( self.size == 0 ) there is no legal index and the strides are never used. Any array with no elements may be considered C-style and Fortran-style contiguous.
Point 1. means that self and self.squeeze() always have the same contiguity and aligned flags value. This also means that even a high dimensional array could be C-style and Fortran-style contiguous at the same time.
An array is considered aligned if the memory offsets for all elements and the base offset itself is a multiple of self.itemsize . Understanding memory-alignment leads to better performance on most hardware.
It does not generally hold that self.strides[-1] == self.itemsize for C-style contiguous arrays or self.strides[0] == self.itemsize for Fortran-style contiguous arrays is true.
NPY_RELAXED_STRIDES_DEBUG=1 can be used to help find errors when incorrectly relying on the strides in C-extension code (see below warning).
Data in new ndarrays is in the row-major (C) order, unless otherwise specified, but, for example, basic array slicing often produces views in a different scheme.
Several algorithms in NumPy work on arbitrarily strided arrays. However, some algorithms require single-segment arrays. When an irregularly strided array is passed in to such algorithms, a copy is automatically made.
Array attributes reflect information that is intrinsic to the array itself. Generally, accessing an array through its attributes allows you to get and sometimes set intrinsic properties of the array without creating a new array. The exposed attributes are the core parts of an array and only some of them can be reset meaningfully without creating a new array. Information on each attribute is given below.
The following attributes contain information about the memory layout of the array:
| Information about the memory layout of the array. |
| Tuple of array dimensions. |
| Tuple of bytes to step in each dimension when traversing an array. |
| Number of array dimensions. |
| Python buffer object pointing to the start of the array's data. |
| Number of elements in the array. |
| Length of one array element in bytes. |
| Total bytes consumed by the elements of the array. |
| Base object if memory is from some other object. |
Data type objects
The data type object associated with the array can be found in the dtype attribute:
| Data-type of the array's elements. |
| View of the transposed array. |
| The real part of the array. |
| The imaginary part of the array. |
| A 1-D iterator over the array. |
The array interface protocol .
| Python-side of the array interface |
| C-side of the array interface |
| An object to simplify the interaction of the array with the ctypes module. |
An ndarray object has many methods which operate on or with the array in some fashion, typically returning an array result. These methods are briefly explained below. (Each method’s docstring has a more complete description.)
For the following methods there are also corresponding functions in numpy : all , any , argmax , argmin , argpartition , argsort , choose , clip , compress , copy , cumprod , cumsum , diagonal , imag , max , mean , min , nonzero , partition , prod , ptp , put , ravel , real , repeat , reshape , round , searchsorted , sort , squeeze , std , sum , swapaxes , take , trace , transpose , var .
(*args) | Copy an element of an array to a standard Python scalar and return it. |
() | Return the array as an -levels deep nested list of Python scalars. |
(*args) | Insert scalar into an array (scalar is cast to array's dtype, if possible) |
([order]) | A compatibility alias for , with exactly the same behavior. |
([order]) | Construct Python bytes containing the raw data bytes in the array. |
(fid[, sep, format]) | Write array to a file as text or binary (default). |
(file) | Dump a pickle of the array to the specified file. |
() | Returns the pickle of the array as a string. |
(dtype[, order, casting, ...]) | Copy of the array, cast to a specified type. |
([inplace]) | Swap the bytes of the array elements |
([order]) | Return a copy of the array. |
([dtype][, type]) | New view of array with the same data. |
(dtype[, offset]) | Returns a field of the given array as a certain type. |
([write, align, uic]) | Set array flags WRITEABLE, ALIGNED, WRITEBACKIFCOPY, respectively. |
(value) | Fill the array with a scalar value. |
For reshape, resize, and transpose, the single tuple argument may be replaced with n integers which will be interpreted as an n-tuple.
(shape[, order]) | Returns an array containing the same data with a new shape. |
(new_shape[, refcheck]) | Change shape and size of array in-place. |
(*axes) | Returns a view of the array with axes transposed. |
(axis1, axis2) | Return a view of the array with and interchanged. |
([order]) | Return a copy of the array collapsed into one dimension. |
([order]) | Return a flattened array. |
([axis]) | Remove axes of length one from . |
For array methods that take an axis keyword, it defaults to None . If axis is None , then the array is treated as a 1-D array. Any other value for axis represents the dimension along which the operation should proceed.
(indices[, axis, out, mode]) | Return an array formed from the elements of at the given indices. |
(indices, values[, mode]) | Set = values[n] for all in indices. |
(repeats[, axis]) | Repeat elements of an array. |
(choices[, out, mode]) | Use an index array to construct a new array from a set of choices. |
([axis, kind, order]) | Sort an array in-place. |
([axis, kind, order]) | Returns the indices that would sort this array. |
(kth[, axis, kind, order]) | Rearranges the elements in the array in such a way that the value of the element in kth position is in the position it would be in a sorted array. |
(kth[, axis, kind, order]) | Returns the indices that would partition this array. |
(v[, side, sorter]) | Find indices where elements of v should be inserted in a to maintain order. |
() | Return the indices of the elements that are non-zero. |
(condition[, axis, out]) | Return selected slices of this array along given axis. |
([offset, axis1, axis2]) | Return specified diagonals. |
Many of these methods take an argument named axis . In such cases,
If axis is None (the default), the array is treated as a 1-D array and the operation is performed over the entire array. This behavior is also the default if self is a 0-dimensional array or array scalar. (An array scalar is an instance of the types/classes float32, float64, etc., whereas a 0-dimensional array is an ndarray instance containing precisely one array scalar.)
If axis is an integer, then the operation is done over the given axis (for each 1-D subarray that can be created along the given axis).
Example of the axis argument
A 3-dimensional array of size 3 x 3 x 3, summed over each of its three axes
The parameter dtype specifies the data type over which a reduction operation (like summing) should take place. The default reduce data type is the same as the data type of self . To avoid overflow, it can be useful to perform the reduction using a larger data type.
For several methods, an optional out argument can also be provided and the result will be placed into the output array given. The out argument must be an ndarray and have the same number of elements. It can have a different data type in which case casting will be performed.
([axis, out, keepdims, initial, ...]) | Return the maximum along a given axis. |
([axis, out, keepdims]) | Return indices of the maximum values along the given axis. |
([axis, out, keepdims, initial, ...]) | Return the minimum along a given axis. |
([axis, out, keepdims]) | Return indices of the minimum values along the given axis. |
([axis, out, keepdims]) | Peak to peak (maximum - minimum) value along a given axis. |
([min, max, out]) | Return an array whose values are limited to max]. |
() | Complex-conjugate all elements. |
([decimals, out]) | Return with each element rounded to the given number of decimals. |
([offset, axis1, axis2, dtype, out]) | Return the sum along diagonals of the array. |
([axis, dtype, out, keepdims, ...]) | Return the sum of the array elements over the given axis. |
([axis, dtype, out]) | Return the cumulative sum of the elements along the given axis. |
([axis, dtype, out, keepdims, where]) | Returns the average of the array elements along given axis. |
([axis, dtype, out, ddof, ...]) | Returns the variance of the array elements, along given axis. |
([axis, dtype, out, ddof, ...]) | Returns the standard deviation of the array elements along given axis. |
([axis, dtype, out, keepdims, ...]) | Return the product of the array elements over the given axis |
([axis, dtype, out]) | Return the cumulative product of the elements along the given axis. |
([axis, out, keepdims, where]) | Returns True if all elements evaluate to True. |
([axis, out, keepdims, where]) | Returns True if any of the elements of evaluate to True. |
Arithmetic and comparison operations on ndarrays are defined as element-wise operations, and generally yield ndarray objects as results.
Each of the arithmetic operations ( + , - , * , / , // , % , divmod() , ** or pow() , << , >> , & , ^ , | , ~ ) and the comparisons ( == , < , > , <= , >= , != ) is equivalent to the corresponding universal function (or ufunc for short) in NumPy. For more information, see the section on Universal Functions .
Comparison operators:
(value, /) | Return self<value. |
(value, /) | Return self<=value. |
(value, /) | Return self>value. |
(value, /) | Return self>=value. |
(value, /) | Return self==value. |
(value, /) | Return self!=value. |
Truth value of an array ( bool() ):
(/) | True if self else False |
Truth-value testing of an array invokes ndarray.__bool__ , which raises an error if the number of elements in the array is larger than 1, because the truth value of such arrays is ambiguous. Use .any() and .all() instead to be clear about what is meant in such cases. (If the number of elements is 0, the array evaluates to False .)
Unary operations:
(/) | -self |
(/) | +self |
(self) | |
(/) | ~self |
Arithmetic:
(value, /) | Return self+value. |
(value, /) | Return self-value. |
(value, /) | Return self*value. |
(value, /) | Return self/value. |
(value, /) | Return self//value. |
(value, /) | Return self%value. |
(value, /) | Return divmod(self, value). |
(value[, mod]) | Return pow(self, value, mod). |
(value, /) | Return self<<value. |
(value, /) | Return self>>value. |
(value, /) | Return self&value. |
(value, /) | Return self|value. |
(value, /) | Return self^value. |
Any third argument to pow is silently ignored, as the underlying ufunc takes only two arguments.
Because ndarray is a built-in type (written in C), the __r{op}__ special methods are not directly defined.
The functions called to implement many arithmetic special methods for arrays can be modified using __array_ufunc__ .
Arithmetic, in-place:
(value, /) | Return self+=value. |
(value, /) | Return self-=value. |
(value, /) | Return self*=value. |
(value, /) | Return self/=value. |
(value, /) | Return self//=value. |
(value, /) | Return self%=value. |
(value, /) | Return self**=value. |
(value, /) | Return self<<=value. |
(value, /) | Return self>>=value. |
(value, /) | Return self&=value. |
(value, /) | Return self|=value. |
(value, /) | Return self^=value. |
In place operations will perform the calculation using the precision decided by the data type of the two operands, but will silently downcast the result (if necessary) so it can fit back into the array. Therefore, for mixed precision calculations, A {op}= B can be different than A = A {op} B . For example, suppose a = ones((3,3)) . Then, a += 3j is different than a = a + 3j : while they both perform the same computation, a += 3 casts the result to fit back in a , whereas a = a + 3j re-binds the name a to the result.
Matrix Multiplication:
(value, /) | Return value. |
Matrix operators @ and @= were introduced in Python 3.5 following PEP 465 , and the @ operator has been introduced in NumPy 1.10.0. Further information can be found in the matmul documentation.
For standard library functions:
() | Used if is called on an array. |
(memo, /) | Used if is called on an array. |
() | For pickling. |
(state, /) | For unpickling. |
Basic customization:
(*args, **kwargs) | |
([dtype], /) | Returns either a new reference to self if dtype is not given or a new array of provided data type if dtype is different from the current dtype of the array. |
(array[, context], /) | Returns a view of with the same type as self. |
Container customization: (see Indexing )
(/) | Return len(self). |
(key, /) | Return self[key]. |
(key, value, /) | Set self[key] to value. |
(key, /) | Return key in self. |
Conversion; the operations int() , float() and complex() . They work only on arrays that have one element in them and return the appropriate scalar.
(self) | |
(self) | |
|
String representations:
(/) | Return str(self). |
(/) | Return repr(self). |
Utility method for typing:
(item, /) | Return a parametrized wrapper around the type. |
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Sample code:
Is there any way to init it shorter? Something like:
I don't need solution like:
Definition and initialization must be separate.
What you are asking for cannot be done directly. There are, however different things that you can do there, starting from creation of a local array initialized with the aggregate initialization and then memcpy -ed over your array (valid only for POD types), or using higher level libraries like boost::assign .
I don't have time to check how to do this with boost::assign , as I hardly ever work with raw arrays.
Arrays can be assigned directly:
Check the C++ Arrays tutorial , too.
int a[] = {1,2,3};
this doesn't work for you?
What about the C99 array initialization?
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At NDepend we value your time, so here are our key findings:
Let’s go through the experiments and investigations that led us to these conclusions:
Here are the results obtained through 9 ways to loop over an int[] .
Here is the code that you can copy straight into a Program.cs file, assuming the project imports BenchmarkDotNet:
Project Sdk="Microsoft.NET.Sdk"> <PropertyGroup> <OutputType>Exe</OutputType> <TargetFramework>net8.0</TargetFramework> <ImplicitUsings>enable</ImplicitUsings> <Nullable>enable</Nullable> </PropertyGroup> <ItemGroup> <PackageReference Include="BenchmarkDotNet" Version="0.13.12" /> </ItemGroup> /Project> |
System.Runtime.CompilerServices; System.Runtime.InteropServices; BenchmarkDotNet.Attributes; BenchmarkDotNet.Running; .Run<Benchmarks>(); class Benchmarks { [Params(100, 1_000, 10_000)] public int Length { get; set; } private void AssertResult(int result) { if (result != (Length * (Length - 1)) / 2) { Environment.FailFast(""); } } private int[] m_Items; [GlobalSetup] public void Setup() { m_Items = Enumerable.Range(0, Length).ToArray(); } [Benchmark] public void ForLoop() { int result = 0; for (int i = 0; i < m_Items.Length; i++) { result += m_Items[i]; } AssertResult(result); } [Benchmark] public void ForLoop_LengthAsVariable() { int result = 0; int length = m_Items.Length; for (int i = 0; i < length; i++) { result += m_Items[i]; } AssertResult(result); } [Benchmark] public void ForeachLoop() { int result = 0; foreach (int item in m_Items) { result += item; } AssertResult(result); } [Benchmark] public void ArrayForEach() { int result = 0; Array.ForEach(m_Items, item => { result += item; }); AssertResult(result); } [Benchmark] public void ForSpanLoop() { int result = 0; Span<int> span = m_Items; for (int i = 0; i < span.Length; i++) { result += span[i]; } AssertResult(result); } [Benchmark] public void ForSpanLoop_LengthAsVariable() { int result = 0; Span<int> span = m_Items; int length = span.Length; for (int i = 0; i < length; i++) { result += span[i]; } AssertResult(result); } [Benchmark] public void ForSpanRefLoop() { int result = 0; Span<int> span = m_Items; ref int ptr = ref MemoryMarshal.GetReference(span); for (int i = 0; i < span.Length; i++) { int item = Unsafe.Add(ref ptr, i); result += item; } AssertResult(result); } [Benchmark] public void ForSpanRefLoop_LengthAsVariable() { int result = 0; Span<int> span = m_Items; ref int ptr = ref MemoryMarshal.GetReference(span); int length = span.Length; for (int i = 0; i < length; i++) { int item = Unsafe.Add(ref ptr, i); result += item; } AssertResult(result); } [Benchmark] public void ForSpanRefLoop2() { int result = 0; Span<int> span = m_Items; ref int start = ref MemoryMarshal.GetReference(span); ref int end = ref Unsafe.Add(ref start, m_Items.Length); while (Unsafe.IsAddressLessThan(ref start, ref end)) { result += start; start = ref Unsafe.Add(ref start, 1); } AssertResult(result); } |
While the foreach loop over an array can sometimes be marginally slower than when using Span<T> , the difference is negligible. Additionally, introducing Span<T> can complicate the code, which may not justify the tiny performance benefit.
However, let’s investigate why foreach is faster than for . Let’s use SharpLab to decompile this program and investigate:
System.Linq; array = Enumerable.Range(0, 100).ToArray(); (array); (array); ForLoop(int[] array) { int result = 0; for (int i = 0; i < array.Length; i++) { result += array[i]; } AssertResult(result); ForeachLoop(int[] array) { int result = 0; foreach (int item in array) { result += item; } AssertResult(result); AssertResult(int result) { if (result != (100 * (99)) / 2) { System.Environment.FailFast(""); } |
Here is the result from the C# compiler:
System.Linq; b = new Benchmarks(); .ForLoop(); .ForeachLoop(); Benchmarks { private int[] m_Items = Enumerable.Range(0, 100).ToArray(); internal void ForLoop() { int result = 0; for (int i = 0; i < m_Items.Length; i++) { result += m_Items[i]; } AssertResult(result); } internal void ForeachLoop() { int result = 0; foreach (int item in m_Items) { result += item; } AssertResult(result); } void AssertResult(int result) { if (result != (100 * (99)) / 2) { System.Environment.FailFast(""); } } |
These are quite similar. However the foreach loop introduces a reference to the array as a local variable. This modification enables the JIT compiler to eliminate bounds checking, significantly speeding up each loop. Observe the variations in the generated assembly code. To make it easier to read, the loop is highlighted in both cases.
The ForSpanRefLoop() and ForSpanRefLoop2() ways are extracted from two Nick Chapsas’ videos here and here . They involve ref variables. In C# the keyword ref means managed pointers . In C# 1.0 the keyword ref was only used for passing parameters by reference. Since C# 7.0 almost every version of C# adds new areas where managed pointers can be used: ref variable, ref return, struct ref …
Managed pointers constitute a unique feature of the .NET runtime that offers considerable benefits:
The main restriction is that managed pointers must remain on the thread stack. This restriction also makes them faster than usual .NET references since the location of a managed pointer cannot change during a GC operation.
Span<T> implementation is based on managed pointers. All in all, Span<T> is a way to work with pointers like in C, in a safe context even though calls to method like Unsafe.Add() makes the code, well, unsafe.
While Span<T> doesn’t help improve performance when looping over an array, we’ll see that it is valuable when looping over a List<T> .
References:
We slightly modified the program above to make it work on a List<int> . Here are the results:
System.Runtime.CompilerServices; System.Runtime.InteropServices; BenchmarkDotNet.Attributes; BenchmarkDotNet.Running; .Run<Benchmarks>(); class Benchmarks { [Params(100, 1_000, 10_000)] public int Length { get; set; } private void AssertResult(int result) { if (result != (Length * (Length - 1)) / 2) { Environment.FailFast(""); } } private List<int> m_Items; [GlobalSetup] public void Setup() { m_Items = Enumerable.Range(0, Length).ToList(); } [Benchmark] public void ForLoop() { int result = 0; for (int i = 0; i < m_Items.Count; i++) { result += m_Items[i]; } AssertResult(result); } [Benchmark] public void ForLoop_CountAsVariable() { int result = 0; int length = m_Items.Count; for (int i = 0; i < length; i++) { result += m_Items[i]; } AssertResult(result); } [Benchmark] public void ForeachLoop() { int result = 0; foreach (int item in m_Items) { result += item; } AssertResult(result); } [Benchmark] public void ListForEach() { int result = 0; m_Items.ForEach(item => { result += item; }); AssertResult(result); } [Benchmark] public void ForSpanLoop() { int result = 0; Span<int> span = CollectionsMarshal.AsSpan(m_Items); for (int i = 0; i < span.Length; i++) { result += span[i]; } AssertResult(result); } [Benchmark] public void ForSpanLoop_LengthAsVariable() { int result = 0; Span<int> span = CollectionsMarshal.AsSpan(m_Items); int length = span.Length; for (int i = 0; i < length; i++) { result += span[i]; } AssertResult(result); } [Benchmark] public void ForSpanRefLoop() { int result = 0; Span<int> span = CollectionsMarshal.AsSpan(m_Items); ref int ptr = ref MemoryMarshal.GetReference(span); for (int i = 0; i < span.Length; i++) { int item = Unsafe.Add(ref ptr, i); result += item; } AssertResult(result); } [Benchmark] public void ForSpanRefLoop_LengthAsVariable() { int result = 0; Span<int> span = CollectionsMarshal.AsSpan(m_Items); ref int ptr = ref MemoryMarshal.GetReference(span); int length = span.Length; for (int i = 0; i < length; i++) { int item = Unsafe.Add(ref ptr, i); result += item; } AssertResult(result); } [Benchmark] public void ForSpanRefLoop2() { int result = 0; Span<int> span = CollectionsMarshal.AsSpan(m_Items); ref int start = ref MemoryMarshal.GetReference(span); ref int end = ref Unsafe.Add(ref start, m_Items.Count); while (Unsafe.IsAddressLessThan(ref start, ref end)) { result += start; start = ref Unsafe.Add(ref start, 1); } AssertResult(result); } |
First, let’s compare array and list results. Looping over a list is generally slower than looping over an array. This makes sense since List<T> internally holds a T[] . Thus, it necessarily adds a layer of complexity.
The real surprise is that using a Span<T> to loop over a list is significantly faster than for and foreach regular ways. What happens is that the call to CollectionsMarshal.AsSpan(list) obtains a managed pointer to the list’s internal array. This call is generally a bad idea because if some elements are added or removed, the list might internally allocate a new array. Thus the span obtained now points toward void memory. This is demonstrated by this program:
list = Enumerable.Range(0, 6).ToList(); span = CollectionsMarshal.AsSpan(list); .IsTrue(span[0] == list[0]); .AddRange(Enumerable.Range(0, 6)); [0] = 173; .IsTrue(list[0] == 173); .IsTrue(span[0] == 0); |
However, assuming that the number of elements in the list and its capacity doesn’t get modified, using CollectionsMarshal.AsSpan(list) does help improve the performance of looping over a list in critical scenarios.
Unlike array, for loops are faster on lists than foreach loop. The reason is obvious when investigating this program in SharpLap :
System.Linq; System.Collections.Generic; b = new Benchmarks(); .ForLoop(); .ForeachLoop(); Benchmarks { private List<int> m_Items = Enumerable.Range(0, 100).ToList(); internal void ForLoop() { int result = 0; for (int i = 0; i < m_Items.Count; i++) { result += m_Items[i]; } AssertResult(result); } internal void ForeachLoop() { int result = 0; foreach (int item in m_Items) { result += item; } AssertResult(result); } void AssertResult(int result) { if (result != (100 * (99)) / 2) { System.Environment.FailFast(""); } } |
The C# compiler produces this code. The call to enumerator.MoveNext() and the try/catch block necessarily degrade the performances:
internal void ForLoop() { int num = 0; int num2 = 0; while (num2 < m_Items.Count) { num += m_Items[num2]; num2++; } AssertResult(num); } internal void ForeachLoop() { int num = 0; List<int>.Enumerator enumerator = m_Items.GetEnumerator(); try { while (enumerator.MoveNext()) { int current = enumerator.Current; num += current; } } finally { ((IDisposable)enumerator).Dispose(); } AssertResult(num); } |
We listed the key findings in the introduction. Let’s conclude that future versions of .NET and C# might change these results. For example, in the future, the C# compiler might assert that a list doesn’t get modified and use the Span<T> based optimization. We will update this post regularly to find out.
As passionate programmers, we find all these insights intriguing. However, it’s important to remember that in most scenarios, code readability outweighs the benefits of minor performance enhancements . Therefore, let’s reserve the use of MemoryMarshal , CollectionsMarshal , and Unsafe stuff for those parts of the code where performance is absolutely critical.
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Forward this article to the Sonar folks. It’s constantly yelling to use linq versus a foreach, despite ther performance hit. This making code reviews… slower.
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Searching algorithms are essential tools in computer science used to locate specific items within a collection of data. These algorithms are designed to efficiently navigate through data structures to find the desired information, making them fundamental in various applications such as databases, web search engines , and more.
Searching Algorithm
Table of Content
Searching is the fundamental process of locating a specific element or item within a collection of data . This collection of data can take various forms, such as arrays, lists, trees, or other structured representations. The primary objective of searching is to determine whether the desired element exists within the data, and if so, to identify its precise location or retrieve it. It plays an important role in various computational tasks and real-world applications, including information retrieval, data analysis, decision-making processes, and more.
Target element:.
In searching, there is always a specific target element or item that you want to find within the data collection. This target could be a value, a record, a key, or any other data entity of interest.
The search space refers to the entire collection of data within which you are looking for the target element. Depending on the data structure used, the search space may vary in size and organization.
Searching can have different levels of complexity depending on the data structure and the algorithm used. The complexity is often measured in terms of time and space requirements.
Some searching algorithms, like binary search , are deterministic, meaning they follow a clear, systematic approach. Others, such as linear search, are non-deterministic, as they may need to examine the entire search space in the worst case.
Searching algorithms have numerous applications across various fields. Here are some common applications:
Library implementations of searching algorithms:, easy problems on searching:.
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Others already explained what you got wrong. I'm writing that answer to explain that actually the compiler could assign an array to another, and you can achieve the same effect with minimal change to your sample code. Just wrap your array in a structure. struct Array3 {. int t[3]; }; struct Array3 a = {{1,2,3}};
Why does C++ support memberwise assignment of arrays within structs, but not generally? Arrays are not pointers. x here does refer to an array, though in many circumstances this "decays" (is implicitly converted) to a pointer to its first element. Likewise, y too is the name of an array, not a pointer. You can do array assignment within structs:
Arrays in C. An array is a variable that can store multiple values. For example, if you want to store 100 integers, you can create an array for it. int data[100]; How to declare an array? dataType arrayName[arraySize]; For example, float mark[5]; Here, we declared an array, mark, of floating-point type. And its size is 5.
Initialization in C is the process to assign some initial value to the variable. When the array is declared or allocated memory, the elements of the array contain some garbage value. ... For C array traversal, we use loops to iterate through each element of the array. Array Traversal using for Loop for (int i = 0; i < N; i++)
The C compiler automatically determines array size using number of array elements. Hence, you can write above array initialization as. int marks[] = {90, 86, 89, 76, 91}; Dynamic initialization of array. You can assign values to an array element dynamically during execution of program. First declare array with a fixed size.
Let's look at the syntax for declaring an array. 1. int examplearray[100]; /* This declares an array */. This would make an integer array with 100 slots (the places in which values of an array are stored). To access a specific part element of the array, you merely put the array name and, in brackets, an index number.
5. In C you cannot assign arrays directly. At first I thought this might because the C facilities were supposed to be implementable with a single or a few instructions and more complicated functionality was offloaded to standard library functions. After all using memcpy() is not that hard.
Assigning Values to Array. By writing int n[ ]={ 2,4,8 };, we are declaring and assigning values to the array at the same time, thus initializing it. But when we declare an array like int n[3];, we need to assign values to it separately. Because 'int n[3];' will definitely allocate space of 3 integers in memory but there are no integers in that ...
A string in C is a special case of array. • Array Type Designators : Referring to a specific array type. • Incomplete Array Types : Naming, but not allocating, a new array. • Limitations of C Arrays : Arrays are not first-class objects. • Multidimensional Arrays : Arrays of arrays. • Constructing Array Values : Assigning values to an ...
A Dynamic Array is allocated memory at runtime and its size can be changed later in the program. We can create a dynamic array in C by using the following methods: Using malloc () Function. Using calloc () Function. Resizing Array Using realloc () Function. Using Variable Length Arrays (VLAs) Using Flexible Array Members.
Arrays are used to store multiple values in a single variable, instead of declaring separate variables for each value. To create an array, define the data type (like int) and specify the name of the array followed by square brackets [] . To insert values to it, use a comma-separated list, inside curly braces: We have now created a variable that ...
Variable-length arrays. If expression is not an integer constant expression, the declarator is for an array of variable size.. Each time the flow of control passes over the declaration, expression is evaluated (and it must always evaluate to a value greater than zero), and the array is allocated (correspondingly, lifetime of a VLA ends when the declaration goes out of scope).
Pre-requisite: File Handling in C Given the source and destination text files, the task is to append the content from source file to destination file and then display the content of the destination file.Examples: Input: file1.text This is line one in file1 Hello World. file2.text This is line one in file2 Programming is fun.
More Topics on Arrays in C: 2D array - We can have multidimensional arrays in C like 2D and 3D array. However the most popular and frequently used array is 2D - two dimensional array. ... You can have access of all the elements of an array just by assigning the array's base address to pointer variable.
A declaration of the form T a [N];, declares a as an array object that consists of N contiguously allocated objects of type T.The elements of an array are numbered 0 , …, N -1, and may be accessed with the subscript operator [], as in a [0], …, a [N -1].. Arrays can be constructed from any fundamental type (except void), pointers, pointers to members, classes, enumerations, or from other ...
An array name is a constant pointer to the first element of the array. Therefore, in this declaration, int balance[5]; balance is a pointer to &balance[0], which is the address of the first element of the array.. Example. In this code, we have a pointer ptr that points to the address of the first element of an integer array called balance.. #include <stdio.h> int main(){ int *ptr; int balance ...
You can only do multiple assignment of the array, when you declare the array: After declaration, you'll have to assign each value individually, i.e. values[0] = 1; values[1] = 2; values[2] = 3; Or you could use a loop, depending on what values you want to use. for (i = 0 ; i < 3 ; i++) values[i] = i+1; This works for 3 values, but what if I had ...
JavaScript typed arrays. JavaScript typed arrays are array-like objects that provide a mechanism for reading and writing raw binary data in memory buffers. Typed arrays are not intended to replace arrays for any kind of functionality. Instead, they provide developers with a familiar interface for manipulating binary data.
But an array of strings in C is a two-dimensional array of character types. Each String is terminated with a null character (\0). It is an application of a 2d array. Syntax: char variable_name[r] = {list of string}; Here, var_name is the name of the variable in C. r is the maximum number of string values that can be stored in a string array.
myArray = myArray.slice(1, 4); // [ "b", "c", "d"] // starts at index 1 and extracts all elements // until index 3. The at() method returns the element at the specified index in the array, or undefined if the index is out of range. It's notably used for negative indices that access elements from the end of the array.
The SORT function will return an array, which will spill if it's the final result of a formula. This means that Excel will dynamically create the appropriate sized array range when you press ENTER.If your supporting data is in an Excel Table, then the array will automatically resize as you add or remove data from your array range if you're using Structured References.
By C's rule about automatic conversion of arrays, in t.text = arr;, arr is converted to a pointer to its first element. So we have t.text = &arr[0];. Then &arr[0] is a pointer to a pointer to a char, and t.text is a pointer to a pointer to a char, so the types are compatible. edited Dec 28, 2018 at 13:13.
Below are some of the different ways in which all elements of an array can be initialized to the same value: Initializer List: To initialize an array in C with the same value, the naive way is to provide an initializer list. We use this with small arrays. int num[5] = {1, 1, 1, 1, 1}; This will initialize the num array with value 1 at all index.
The N-dimensional array (. ndarray. ) #. An ndarray is a (usually fixed-size) multidimensional container of items of the same type and size. The number of dimensions and items in an array is defined by its shape , which is a tuple of N non-negative integers that specify the sizes of each dimension. The type of items in the array is specified by ...
You can assign it in the same way: a = {1, 2, 3}. But that's actually C++0x ("extended initializer lists"). If you need to reassign the array in each loop iteration, you can still use memcpy. @archer: then you're almost surely wrong. Array allocation on the stack in just a stack pointer addition/subtraction.
At NDepend we value your time, so here are our key findings: When iterating over a C# array, the foreach way is the quickest.; In a for loop, storing the array.Length or list.Count in a variable does not improve performance and may actually decrease it.; for loop is most efficient on a List<T> than foreach.; However, the most efficient way to loop over a List<T> involves accessing the internal ...
Find the minimum element in a sorted and rotated array; Find a peak element; Maximum and minimum of an array using minimum number of comparisons; Find a Fixed Point in a given array; Find the k most frequent words from a file; Find k closest elements to a given value; Given a sorted array and a number x, find the pair in array whose sum is ...