Functions

The functions/operators are defined in the ten/tensor.hxx and in ten/functional.hxx.

Elementwise operations

Operators +, -, *, and / are defined for tensors, matrices and vectors.

ten::tensor<float, Rank> x(shape);
ten::tensor<float, Rank> y(shape);
auto z = x op y;

Scalar tensor operations

Operators +, -, *, and / are overloaded for scalar - tensor, matrix and vector operations.

ten::tensor<float, Rank> x(shape);
auto a = 1.0f op x;
auto b = x op 1.0f;

ten::tensor<float, 3> x({2, 3, 4});
auto a = 1.0f - x;
auto b = x - 1.0f;

• Multiplication

ten::tensor<float, 3> x({2, 3, 4});
auto a = 2.0f * x;
auto b = x * 2.0f;

• Division

ten::tensor<float, 3> x({2, 3, 4});
auto a = 1.0f / x;
auto b = x / 2.0f;

Expression and tensor functions

Expression and tensor functions

Description	Function
Minimum	ten::min(expr)
Maximum	ten::max(expr)
Mean	ten::mean(expr)
Sum of the elements	ten::sum(expr)
Cumulative sum of a vector	ten::cum_sum(expr)
Product of the elements	ten::prod(expr)
Elementwise absolute value	ten::abs(expr)
Elementwise sqrt	ten::sqrt(expr)
Elementwise squared values	ten::sqr(expr)
Elementwise sinus	ten::sin(expr)
Elementwise sinh	ten::sinh(expr)
Elementwise asin	ten::asin(expr)
Elementwise cos	ten::cos(expr)
Elementwise cosh	ten::cosh(expr)
Elementwise acos	ten::acos(expr)
Elementwise tan	ten::tan(expr)
Elementwise tanh	ten::tanh(expr)
Elementwise atan	ten::atan(expr)
Elementwise exp	ten::exp(expr)
Elementwise log	ten::log(expr)
Elementwise log10	ten::log10(expr)
Elementwise floor	ten::floor(expr)
Elementwise ceil	ten::ceil(expr)
Elementwise power	ten::pow(expr, n)

Tensor functions

Tensor functions

Description	Function
Tests whether all the elements are close to 0 within a tolerance eps	ten::all_close(tensor, eps)

TODO

Expression and tensor functions

Description	Function
Sum along an axis or dimension	ten::sum(expr, axis)
Mean along an axis or dimension	ten::mean(expr, axis)
Standard deviation	ten::std(expr)
Standard deviation along an axis or dimension	ten::std(expr, axis)

Matrix functions

Description	Function
Exponential of a matrix	ten::matrix_exp(expr)
Power of a matrix	ten::matrix_pow(expr, n)
Cosinus of a matrix	ten::matrix_cos(expr)
Sinus of a matrix	ten::matrix_sin(expr)