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Mathematical functions

.rst-content table.docutils { width: 100%; table-layout: fixed; } table.docutils .line-block { margin-left: 0; margin-bottom: 0; } table.docutils code.literal { color: initial; } code.docutils { background: initial; } 
.. toctree::

   operators
:ref:`operator+ <identity-op-ref>` identity
:ref:`operator- <neg-op-ref>` opposite
:ref:`operator+ <plus-op-ref>` addition
:ref:`operator- <minus-op-ref>` substraction
:ref:`operator* <mul-op-ref>` multiplication
:ref:`operator/ <div-op-ref>` division
:ref:`operator|| <or-op-ref>` logical or
:ref:`operator&& <and-op-ref>` logical and
:ref:`operator! <not-op-ref>` logical not
:ref:`where <where-op-ref>` ternary selection
:ref:`any <any-op-ref>` return true if any value is truthy
:ref:`all <all-op-ref>` return true if all the values are truthy
:ref:`operator\< <less-op-ref>` element-wise lesser than
:ref:`operator\<= <less-eq-op-ref>` element-wise less or equal
:ref:`operator> <greater-op-ref>` element-wise greater than
:ref:`operator>= <greater-eq-op-ref>` element-wise greater or equal
:ref:`operator== <equal-op-ref>` expression equality
:ref:`operator!= <nequal-op-ref>` expression inequality
:ref:`equal <equal-fn-ref>` element-wise equality
:ref:`not_equal <nequal-fn-ref>` element-wise inequality
:ref:`less <less-fn-ref>` element-wise lesser than
:ref:`less_equal <less-eq-fn-ref>` element-wise less or equal
:ref:`greater <greater-fn-ref>` element-wise greater than
:ref:`greater_equal <greate-eq-fn-ref>` element-wise greater or equal
:ref:`cast <cast-ref>` element-wise static_cast
:ref:`operator& <bitwise-and-op-ref>` bitwise and
:ref:`operator| <bitwise-or-op-ref>` bitwise or
:ref:`operator^ <bitwise-xor-op-ref>` bitwise xor
:ref:`operator~ <bitwise-not-op-ref>` bitwise not
:ref:`left_shift <left-shift-fn-ref>` bitwise shift left
:ref:`right_shift <right-shift-fn-ref>` bitwise shift right
:ref:`operator\<\< <left-sh-op-ref>` bitwise shift left
:ref:`operator\>\> <right-sh-op-ref>` bitwise shift right 
.. toctree::

   index_related
:ref:`where <wherec-op-ref>` indices selection
:ref:`nonzero <nonzero-op-ref>` indices selection
:ref:`argwhere <argwhere-op-ref>` indices selection
:ref:`from_indices <frindices-op-ref>` biulder from indices 
.. toctree::

   basic_functions
:ref:`abs <abs-function-reference>` absolute value
:ref:`fabs <fabs-function-reference>` absolute value
:ref:`fmod <fmod-function-reference>` remainder of the floating point division operation
:ref:`remainder <remainder-func-ref>` signed remainder of the division operation
:ref:`fma <fma-function-reference>` fused multiply-add operation
:ref:`minimum <minimum-func-ref>` element-wise minimum
:ref:`maximum <maximum-func-ref>` element-wise maximum
:ref:`fmin <fmin-function-reference>` element-wise minimum for floating point values
:ref:`fmax <fmax-function-reference>` element-wise maximum for floating point values
:ref:`fdim <fdim-function-reference>` element-wise positive difference
:ref:`clip <clip-function-reference>` element-wise clipping operation
:ref:`sign <sign-function-reference>` element-wise indication of the sign 
.. toctree::

   exponential_functions
:ref:`exp <exp-function-reference>` natural exponential function
:ref:`exp2 <exp2-function-reference>` base 2 exponential function
:ref:`expm1 <expm1-func-ref>` natural exponential function, minus one
:ref:`log <log-function-reference>` natural logarithm function
:ref:`log2 <log2-function-reference>` base 2 logarithm function
:ref:`log10 <log10-func-ref>` base 10 logarithm function
:ref:`log1p <log1p-func-ref>` natural logarithm of one plus function 
.. toctree::

   power_functions
:ref:`pow <pow-function-reference>` power function
:ref:`sqrt <sqrt-function-reference>` square root function
:ref:`cbrt <cbrt-function-reference>` cubic root function
:ref:`hypot <hypot-func-ref>` hypotenuse function 
.. toctree::

   trigonometric_functions
:ref:`sin <sin-function-reference>` sine function
:ref:`cos <cos-function-reference>` cosine function
:ref:`tan <tan-function-reference>` tangent function
:ref:`asin <asin-function-reference>` arc sine function
:ref:`acos <acos-function-reference>` arc cosine function
:ref:`atan <atan-function-reference>` arc tangent function
:ref:`atan2 <atan2-func-ref>` arc tangent function, determining quadrants 
.. toctree::

   hyperbolic_functions
:ref:`sinh <sinh-function-reference>` hyperbolic sine function
:ref:`cosh <cosh-function-reference>` hyperbolic cosine function
:ref:`tanh <tanh-function-reference>` hyperbolic tangent function
:ref:`asinh <asinh-func-ref>` inverse hyperbolic sine function
:ref:`acosh <acosh-func-ref>` inverse hyperbolic cosine function
:ref:`atanh <atanh-func-ref>` inverse hyperbolic tangent function 
.. toctree::

   error_functions
:ref:`erf <erf-function-reference>` error function
:ref:`erfc <erfc-function-reference>` complementary error function
:ref:`tgamma <tgamma-func-ref>` gamma function
:ref:`lgamma <lgamma-func-ref>` natural logarithm of the gamma function 
.. toctree::

   nearint_operations
:ref:`ceil <ceil-function-reference>` nearest integers not less
:ref:`floor <floor-func-ref>` nearest integers not greater
:ref:`trunc <trunc-func-ref>` nearest integers not greater in magnitude
:ref:`round <round-func-ref>` nearest integers, rounding away from zero
:ref:`nearbyint <nearbyint-func-ref>` nearest integers using current rounding mode
:ref:`rint <rint-function-reference>` nearest integers using current rounding mode 
.. toctree::

   classif_functions
:ref:`isfinite <isfinite-func-ref>` checks for finite values
:ref:`isinf <isinf-func-ref>` checks for infinite values
:ref:`isnan <isnan-func-ref>` checks for NaN values
:ref:`isclose <isclose-func-ref>` element-wise closeness detection
:ref:`allclose <allclose-func-ref>` closeness reduction 
.. toctree::

   reducing_functions
:ref:`sum <sum-function-reference>` sum of elements over given axes
:ref:`prod <prod-function-reference>` product of elements over given axes
:ref:`mean <mean-function-reference>` mean of elements over given axes
:ref:`average <average-function-reference>` weighted average along the specified axis
:ref:`variance <variance-function-reference>` variance of elements over given axes
:ref:`stddev <stddev-function-reference>` standard deviation of elements over given axes
:ref:`diff <diff-function-reference>` Calculate the n-th discrete difference along the given axis
:ref:`amax <amax-function-reference>` amax of elements over given axes
:ref:`amin <amin-function-reference>` amin of elements over given axes
:ref:`trapz <trapz-function-reference>` Integrate along the given axis using the composite trapezoidal rule
:ref:`norm_l0 <norm-l0-func-ref>` L0 pseudo-norm over given axes
:ref:`norm_l1 <norm-l1-func-ref>` L1 norm over given axes
:ref:`norm_sq <norm-sq-func-ref>` Squared L2 norm over given axes
:ref:`norm_l2 <norm-l2-func-ref>` L2 norm over given axes
:ref:`norm_linf <norm-linf-func-ref>` Infinity norm over given axes
:ref:`norm_lp_to_p <nlptop-func-ref>` p_th power of Lp norm over given axes
:ref:`norm_lp <norm-lp-func-ref>` Lp norm over given axes
:ref:`norm_induced_l1 <nind-l1-ref>` Induced L1 norm of a matrix
:ref:`norm_induced_linf <nilinf-ref>` Induced L-infinity norm of a matrix 
.. toctree::

   accumulating_functions
:ref:`cumsum <cumsum-function-reference>` cumulative sum of elements over a given axis
:ref:`cumprod <cumprod-function-reference>` cumulative product of elements over given axes 
.. toctree::

   nan_functions
:ref:`nan_to_num <nan-to-num-function-reference>` convert NaN and +/- inf to finite numbers
:ref:`nansum <nansum-function-reference>` sum of elements over a given axis, replacing NaN with 0
:ref:`nanprod <nanprod-function-reference>` product of elements over given axes, replacing NaN with 1
:ref:`nancumsum <nancumsum-function-reference>` cumsum of elements over a given axis, replacing NaN with 0
:ref:`nancumprod <nancumprod-function-reference>` cumprod of elements over given axes, replacing NaN with 1