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For example, to perform an element by element sum of two arrays, a and b to produce a third c, it is only necessary to write c = a + b In addition to support for vectorized arithmetic and relational operations, these languages also vectorize common mathematical functions such as sine. For example, if x is an array, then y = sin (x)
2D/3D game engine packaged in a 3D modelar with integrated Bullet physics library [2] [3] Build engine: C: 1995 Yes 2.5D Windows, Linux, macOS, DOS: Duke Nukem 3D, Shadow Warrior, Blood, Redneck Rampage: Custom, free non-commercial use FPS engine; 2.5D, 2D grid base geometry Buildbox: C++: 2014 Optional Yes 2D, 3D Windows, macOS, iOS, Android
pyFAI, [99] Fast Azimuthal Integration in Python; Random123, [100] library of counter-based random number generators; SecondSpace, [101] simulation software for waves in 2D space; StarPU, [102] task programming library; Theano: Python array library [103] [104] UFO, [105] [106] data processing framework; VexCL, [107] [108] vector expression ...
Matrix multiplication is an example of a 2-rank function, because it operates on 2-dimensional objects (matrices). Collapse operators reduce the dimensionality of an input data array by one or more dimensions. For example, summing over elements collapses the input array by 1 dimension.
Arrays can have multiple dimensions, thus it is not uncommon to access an array using multiple indices. For example, a two-dimensional array A with three rows and four columns might provide access to the element at the 2nd row and 4th column by the expression A[1][3] in the case of a zero-based indexing
The Java 2D API and its documentation are available for download as a part of JDK 6. Java 2D API classes are organised into the following packages in JDK 6: java.awt The main package for the Java Abstract Window Toolkit. java.awt.geom The Java standard library of two dimensional geometric shapes such as lines, ellipses, and quadrilaterals.
For example, if we already know the values of F 41 and F 40, we can directly calculate the value of F 42. Some programming languages can automatically memoize the result of a function call with a particular set of arguments, in order to speed up call-by-name evaluation (this mechanism is referred to as call-by-need ).
In Java associative arrays are implemented as "maps", which are part of the Java collections framework. Since J2SE 5.0 and the introduction of generics into Java, collections can have a type specified; for example, an associative array that maps strings to strings might be specified as follows: