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.. toctree::
operators
| :cpp:func:`xt::operator+` |
identity |
| :cpp:func:`xt::operator-` |
opposite |
| :cpp:func:`xt::operator+` |
addition |
| :cpp:func:`xt::operator-` |
substraction |
| :cpp:func:`xt::operator*` |
multiplication |
| :cpp:func:`xt::operator/` |
division |
| :cpp:func:`xt::operator||` |
logical or |
| :cpp:func:`xt::operator&&` |
logical and |
| :cpp:func:`xt::operator!` |
logical not |
| :cpp:func:`xt::where` |
ternary selection |
| :cpp:func:`xt::any` |
return true if any value is truthy |
| :cpp:func:`xt::all` |
return true if all the values are truthy |
| :cpp:func:`xt::operator\<` |
element-wise lesser than |
| :cpp:func:`xt::operator\<=` |
element-wise less or equal |
| :cpp:func:`xt::operator>` |
element-wise greater than |
| :cpp:func:`xt::operator>=` |
element-wise greater or equal |
| :cpp:func:`xt::operator==` |
expression equality |
| :cpp:func:`xt::operator!=` |
expression inequality |
| :cpp:func:`xt::equal` |
element-wise equality |
| :cpp:func:`xt::not_equal` |
element-wise inequality |
| :cpp:func:`xt::less` |
element-wise lesser than |
| :cpp:func:`xt::less_equal` |
element-wise less or equal |
| :cpp:func:`xt::greater` |
element-wise greater than |
| :cpp:func:`xt::greater_equal` |
element-wise greater or equal |
| :cpp:func:`xt::cast` |
element-wise static_cast |
| :cpp:func:`xt::operator&` |
bitwise and |
| :cpp:func:`xt::operator|` |
bitwise or |
| :cpp:func:`xt::operator^` |
bitwise xor |
| :cpp:func:`xt::operator~` |
bitwise not |
| :cpp:func:`xt::left_shift` |
bitwise shift left |
| :cpp:func:`xt::right_shift` |
bitwise shift right |
| :cpp:func:`xt::operator\<\<` |
bitwise shift left |
| :cpp:func:`xt::operator\>\>` |
bitwise shift right |
.. toctree::
index_related
| :cpp:func:`xt::where` |
indices selection |
| :cpp:func:`xt::nonzero` |
indices selection |
| :cpp:func:`xt::argwhere` |
indices selection |
| :cpp:func:`xt::from_indices` |
biulder from indices |
.. toctree::
basic_functions
| :cpp:func:`xt::abs` |
absolute value |
| :cpp:func:`xt::fabs` |
absolute value |
| :cpp:func:`xt::fmod` |
remainder of the floating point division operation |
| :cpp:func:`xt::remainder` |
signed remainder of the division operation |
| :cpp:func:`xt::fma` |
fused multiply-add operation |
| :cpp:func:`xt::minimum` |
element-wise minimum |
| :cpp:func:`xt::maximum` |
element-wise maximum |
| :cpp:func:`xt::fmin` |
element-wise minimum for floating point values |
| :cpp:func:`xt::fmax` |
element-wise maximum for floating point values |
| :cpp:func:`xt::fdim` |
element-wise positive difference |
| :cpp:func:`xt::clip` |
element-wise clipping operation |
| :cpp:func:`xt::sign` |
element-wise indication of the sign |
.. toctree::
exponential_functions
| :cpp:func:`xt::exp` |
natural exponential function |
| :cpp:func:`xt::exp2` |
base 2 exponential function |
| :cpp:func:`xt::expm1` |
natural exponential function, minus one |
| :cpp:func:`xt::log` |
natural logarithm function |
| :cpp:func:`xt::log2` |
base 2 logarithm function |
| :cpp:func:`xt::log10` |
base 10 logarithm function |
| :cpp:func:`xt::log1p` |
natural logarithm of one plus function |
.. toctree::
power_functions
| :cpp:func:`xt::pow` |
power function |
| :cpp:func:`xt::sqrt` |
square root function |
| :cpp:func:`xt::cbrt` |
cubic root function |
| :cpp:func:`xt::hypot` |
hypotenuse function |
.. toctree::
trigonometric_functions
| :cpp:func:`xt::sin` |
sine function |
| :cpp:func:`xt::cos` |
cosine function |
| :cpp:func:`xt::tan` |
tangent function |
| :cpp:func:`xt::asin` |
arc sine function |
| :cpp:func:`xt::acos` |
arc cosine function |
| :cpp:func:`xt::atan` |
arc tangent function |
| :cpp:func:`xt::atan2` |
arc tangent function, determining quadrants |
.. toctree::
hyperbolic_functions
| :cpp:func:`xt::sinh` |
hyperbolic sine function |
| :cpp:func:`xt::cosh` |
hyperbolic cosine function |
| :cpp:func:`xt::tanh` |
hyperbolic tangent function |
| :cpp:func:`xt::asinh` |
inverse hyperbolic sine function |
| :cpp:func:`xt::acosh` |
inverse hyperbolic cosine function |
| :cpp:func:`xt::atanh` |
inverse hyperbolic tangent function |
.. toctree::
error_functions
| :cpp:func:`xt::erf` |
error function |
| :cpp:func:`xt::erfc` |
complementary error function |
| :cpp:func:`xt::tgamma` |
gamma function |
| :cpp:func:`xt::lgamma` |
natural logarithm of the gamma function |
.. toctree::
nearint_operations
| :cpp:func:`xt::ceil` |
nearest integers not less |
| :cpp:func:`xt::floor` |
nearest integers not greater |
| :cpp:func:`xt::trunc` |
nearest integers not greater in magnitude |
| :cpp:func:`xt::round` |
nearest integers, rounding away from zero |
| :cpp:func:`xt::nearbyint` |
nearest integers using current rounding mode |
| :cpp:func:`xt::rint` |
nearest integers using current rounding mode |
.. toctree::
classif_functions
| :cpp:func:`xt::isfinite` |
checks for finite values |
| :cpp:func:`xt::isinf` |
checks for infinite values |
| :cpp:func:`xt::isnan` |
checks for NaN values |
| :cpp:func:`xt::isclose` |
element-wise closeness detection |
| :cpp:func:`xt::allclose` |
closeness reduction |
.. toctree::
reducing_functions
| :cpp:func:`xt::sum` |
sum of elements over given axes |
| :cpp:func:`xt::prod` |
product of elements over given axes |
| :cpp:func:`xt::mean` |
mean of elements over given axes |
| :cpp:func:`xt::average` |
weighted average along the specified axis |
| :cpp:func:`xt::variance` |
variance of elements over given axes |
| :cpp:func:`xt::stddev` |
standard deviation of elements over given axes |
| :cpp:func:`xt::diff` |
Calculate the n-th discrete difference along the given axis |
| :cpp:func:`xt::amax` |
amax of elements over given axes |
| :cpp:func:`xt::amin` |
amin of elements over given axes |
| :cpp:func:`xt::trapz` |
Integrate along the given axis using the composite trapezoidal rule |
| :cpp:func:`xt::norm_l0` |
L0 pseudo-norm over given axes |
| :cpp:func:`xt::norm_l1` |
L1 norm over given axes |
| :cpp:func:`xt::norm_sq` |
Squared L2 norm over given axes |
| :cpp:func:`xt::norm_l2` |
L2 norm over given axes |
| :cpp:func:`xt::norm_linf` |
Infinity norm over given axes |
| :cpp:func:`xt::norm_lp_to_p` |
p_th power of Lp norm over given axes |
| :cpp:func:`xt::norm_lp` |
Lp norm over given axes |
| :cpp:func:`xt::norm_induced_l1` |
Induced L1 norm of a matrix |
| :cpp:func:`xt::norm_induced_linf` |
Induced L-infinity norm of a matrix |
.. toctree::
accumulating_functions
| :cpp:func:`xt::cumsum` |
Cumulative sum of elements over a given axis |
| :cpp:func:`xt::cumprod` |
Cumulative product of elements over given axes |
.. toctree::
nan_functions
| :cpp:func:`xt::nan_to_num` |
Convert NaN and +/- inf to finite numbers |
| :cpp:func:`xt::nanmin` |
Min of elements over a given axis, ignoring NaNs |
| :cpp:func:`xt::nanmax` |
Max of elements over a given axis, ignoring NaNs |
| :cpp:func:`xt::nansum` |
Sum of elements over a given axis, replacing NaN with 0 |
| :cpp:func:`xt::nanprod` |
Product of elements over given axes, replacing NaN with 1 |
| :cpp:func:`xt::nancumsum` |
Cumulative sum of elements over a given axis, replacing NaN with 0 |
| :cpp:func:`xt::nancumprod` |
Cumulative product of elements over given axes, replacing NaN with 1 |
| :cpp:func:`xt::nanmean` |
Mean of elements over given axes, ignoring NaNs |
| :cpp:func:`xt::nanvar` |
Variance of elements over given axes, ignoring NaNs |
| :cpp:func:`xt::nanstd` |
Standard deviation of elements over given axes, ignoring NaNs |