Blaze  3.6
Bitwise XOR


Vector/Vector Bitwise XOR


Via the bitwise XOR operator (i.e. operator^()) it is possible to perform an elementwise bitwise XOR with dense vectors:

// ... Initializing the vectors
v3 = v1 ^ v2; // Elementwise bitwise XOR of two dense column vectors of different data type

Note that it is necessary that both operands have exactly the same dimensions. Violating this precondition results in an exception. Also note that it is only possible to use vectors with the same transpose flag:

v1 ^ v2; // Compilation error: Cannot XOR a column vector and a row vector
v1 ^ trans( v2 ); // OK: Bitwise XOR of two column vectors

Furthermore, it is possible to use different element types in the two vector operands, but a bitwise XOR of two vectors with the same element type is favorable due to possible vectorization of the operation:

blaze::DynamicVector<unsigned int> v1( 100UL ), v2( 100UL ), v3;
// ... Initialization of the vectors
v3 = v1 ^ v2; // Vectorized bitwise XOR of an unsigned int vector


Matrix/Matrix Bitwise XOR


The bitwise XOR operator (i.e. operator^()) can also be used to perform an elementwise bitwise XOR with dense matrices:

// ... Initializing the matrices
M3 = M1 ^ M2; // Elementwise bitwise XOR of two dense matrices of different data type

Note that it is necessary that both operands have exactly the same dimensions. Violating this precondition results in an exception. It is possible to use any combination of row-major and column-major matrices. Note however that in favor of performance using two matrices with the same storage order is favorable. The same argument holds for the element type: While it is possible to use matrices with different element type, using two matrices with the same element type potentially leads to better performance due to vectorization of the operation.

blaze::DynamicMatrix<unsigned int> M1( 50UL, 70UL ), M2( 50UL, 70UL ), M3;
// ... Initialization of the matrices
M3 = M1 ^ M2; // Vectorized bitwise XOR of two row-major, unsigned int dense matrices


Scalar Bitwise XOR


Is is also possible to perform a bitwise XOR between a dense vector or dense matrix and a scalar value, which has the same effect as performing a bitwise XOR by means of a uniform vector or matrix (see UniformVector and UniformMatrix). In Blaze it is possible to use all built-in/fundamental data types except bool as scalar values. Examples:

blaze::DynamicVector<unsigned int> v1{ 3U, 2U, 5U, 4U, 1U, 6U };
// Perform a bitwise XOR with all elements of v1; Results in
//
// ( 0, 1, 6, 7, 2, 5 )
//
{ 4U, 1U, 6U } };
// Perform a bitwise XOR with all elements of M1; Results in
//
// ( 0, 1, 6 )
// ( 7, 2, 5 )
//


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