Mathematical functions

xt::operator+()

identity

xt::operator-()

opposite

xt::operator+()

addition

xt::operator-()

substraction

xt::operator*()

multiplication

xt::operator/()

division

xt::operator||()

logical or

xt::operator&&()

logical and

xt::operator!()

logical not

xt::where()

ternary selection

xt::any()

return true if any value is truthy

xt::all()

return true if all the values are truthy

xt::operator<()

element-wise lesser than

xt::operator<=()

element-wise less or equal

xt::operator>()

element-wise greater than

xt::operator>=()

element-wise greater or equal

xt::operator==()

expression equality

xt::operator!=()

expression inequality

xt::equal()

element-wise equality

xt::not_equal()

element-wise inequality

xt::less()

element-wise lesser than

xt::less_equal()

element-wise less or equal

xt::greater()

element-wise greater than

xt::greater_equal()

element-wise greater or equal

xt::cast()

element-wise static_cast

xt::operator&()

bitwise and

xt::operator|()

bitwise or

xt::operator^()

bitwise xor

xt::operator~()

bitwise not

xt::left_shift()

bitwise shift left

xt::right_shift()

bitwise shift right

xt::operator<<()

bitwise shift left

xt::operator>>()

bitwise shift right

xt::where()

indices selection

xt::nonzero()

indices selection

xt::argwhere()

indices selection

xt::from_indices()

biulder from indices

xt::abs()

absolute value

xt::fabs()

absolute value

xt::fmod()

remainder of the floating point division operation

xt::remainder()

signed remainder of the division operation

xt::fma()

fused multiply-add operation

xt::minimum()

element-wise minimum

xt::maximum()

element-wise maximum

xt::fmin()

element-wise minimum for floating point values

xt::fmax()

element-wise maximum for floating point values

xt::fdim()

element-wise positive difference

xt::clip()

element-wise clipping operation

xt::sign()

element-wise indication of the sign

xt::exp()

natural exponential function

xt::exp2()

base 2 exponential function

xt::expm1()

natural exponential function, minus one

xt::log()

natural logarithm function

xt::log2()

base 2 logarithm function

xt::log10()

base 10 logarithm function

xt::log1p()

natural logarithm of one plus function

xt::pow()

power function

xt::sqrt()

square root function

xt::cbrt()

cubic root function

xt::hypot()

hypotenuse function

xt::sin()

sine function

xt::cos()

cosine function

xt::tan()

tangent function

xt::asin()

arc sine function

xt::acos()

arc cosine function

xt::atan()

arc tangent function

xt::atan2()

arc tangent function, determining quadrants

xt::sinh()

hyperbolic sine function

xt::cosh()

hyperbolic cosine function

xt::tanh()

hyperbolic tangent function

xt::asinh()

inverse hyperbolic sine function

xt::acosh()

inverse hyperbolic cosine function

xt::atanh()

inverse hyperbolic tangent function

xt::erf()

error function

xt::erfc()

complementary error function

xt::tgamma()

gamma function

xt::lgamma()

natural logarithm of the gamma function

xt::ceil()

nearest integers not less

xt::floor()

nearest integers not greater

xt::trunc()

nearest integers not greater in magnitude

xt::round()

nearest integers, rounding away from zero

xt::nearbyint()

nearest integers using current rounding mode

xt::rint()

nearest integers using current rounding mode

xt::isfinite()

checks for finite values

xt::isinf()

checks for infinite values

xt::isnan()

checks for NaN values

xt::isclose()

element-wise closeness detection

xt::allclose()

closeness reduction

xt::sum()

sum of elements over given axes

xt::prod()

product of elements over given axes

xt::mean()

mean of elements over given axes

xt::average()

weighted average along the specified axis

xt::variance()

variance of elements over given axes

xt::stddev()

standard deviation of elements over given axes

xt::diff()

Calculate the n-th discrete difference along the given axis

xt::amax()

amax of elements over given axes

xt::amin()

amin of elements over given axes

xt::trapz()

Integrate along the given axis using the composite trapezoidal rule

xt::norm_l0()

L0 pseudo-norm over given axes

xt::norm_l1()

L1 norm over given axes

xt::norm_sq()

Squared L2 norm over given axes

xt::norm_l2()

L2 norm over given axes

xt::norm_linf()

Infinity norm over given axes

xt::norm_lp_to_p()

p_th power of Lp norm over given axes

xt::norm_lp()

Lp norm over given axes

xt::norm_induced_l1()

Induced L1 norm of a matrix

xt::norm_induced_linf()

Induced L-infinity norm of a matrix

xt::cumsum()

Cumulative sum of elements over a given axis

xt::cumprod()

Cumulative product of elements over given axes

xt::nan_to_num()

Convert NaN and +/- inf to finite numbers

xt::nanmin()

Min of elements over a given axis, ignoring NaNs

xt::nanmax()

Max of elements over a given axis, ignoring NaNs

xt::nansum()

Sum of elements over a given axis, replacing NaN with 0

xt::nanprod()

Product of elements over given axes, replacing NaN with 1

xt::nancumsum()

Cumulative sum of elements over a given axis, replacing NaN with 0

xt::nancumprod()

Cumulative product of elements over given axes, replacing NaN with 1

xt::nanmean()

Mean of elements over given axes, ignoring NaNs

xt::nanvar()

Variance of elements over given axes, ignoring NaNs

xt::nanstd()

Standard deviation of elements over given axes, ignoring NaNs