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An array data structure can be mathematically modeled as an abstract data structure (an abstract array) with two operations get(A, I): the data stored in the element of the array A whose indices are the integer tuple I. set(A, I, V): the array that results by setting the value of that element to V. These operations are required to satisfy the ...
The sizeof operator on such a struct gives the size of the structure as if the flexible array member were empty. This may include padding added to accommodate the flexible member; the compiler is also free to re-use such padding as part of the array itself.
Some array data structures do not reallocate storage, but do store a count of the number of elements of the array in use, called the count or size. This effectively makes the array a dynamic array with a fixed maximum size or capacity; Pascal strings are examples of this.
More generally, there are d! possible orders for a given array, one for each permutation of dimensions (with row-major and column-order just 2 special cases), although the lists of stride values are not necessarily permutations of each other, e.g., in the 2-by-3 example above, the strides are (3,1) for row-major and (1,2) for column-major.
For Programmable Array Logic (PAL) devices PipelineC: C-like hardware description language adding High-level synthesis-like automatic pipelining as a language construct and compiler feature. PyMTL 3 (Mamba) Python: Based on Python, from Cornell University PyRTL: Python: Based on Python, from University of California, Santa Barbara
In array languages, operations are generalized to apply to both scalars and arrays. Thus, a+b expresses the sum of two scalars if a and b are scalars, or the sum of two arrays if they are arrays. An array language simplifies programming but possibly at a cost known as the abstraction penalty.
Considering the contents as a memory address (0x1000), look up the value at that location (0x0002); array[i] means element number i, 0-based, of array which is translated into *(array + i). The last example is how to access the contents of array. Breaking it down: array + i is the memory location of the (i) th element of array, starting at i=0;
Array of shape A with data B: U+2374 ⍴ APL FUNCTIONAL SYMBOL RHO: Take A↑B: Select the first (or last) A elements of B according to ×A: U+2191 ↑ UPWARDS ARROW: Drop A↓B: Remove the first (or last) A elements of B according to ×A: U+2193 ↓ DOWNWARDS ARROW: Decode A⊥B: Value of a polynomial whose coefficients are B at A: U+22A5 ⊥ ...