Mathematical functions¶

operator+	identity
operator-	opposite
operator+	addition
operator-	substraction
operator*	multiplication
operator/	division
operator\|\|	logical or
operator&&	logical and
operator!	logical not
where	ternary selection
any	return true if any value is truthy
all	return true if all the values are truthy
operator<	element-wise lesser than
operator<=	element-wise less or equal
operator>	element-wise greater than
operator>=	element-wise greater or equal
operator==	expression equality
operator!=	expression inequality
equal	element-wise equality
not_equal	element-wise inequality
less	element-wise lesser than
less_equal	element-wise less or equal
greater	element-wise greater than
greater_equal	element-wise greater or equal
cast	element-wise static_cast
operator&	bitwise and
operator\|	bitwise or
operator^	bitwise xor
operator~	bitwise not
left_shift	bitwise shift left
right_shift	bitwise shift right
operator<<	bitwise shift left
operator>>	bitwise shift right

abs	absolute value
fabs	absolute value
fmod	remainder of the floating point division operation
remainder	signed remainder of the division operation
fma	fused multiply-add operation
minimum	element-wise minimum
maximum	element-wise maximum
fmin	element-wise minimum for floating point values
fmax	element-wise maximum for floating point values
fdim	element-wise positive difference
clip	element-wise clipping operation
sign	element-wise indication of the sign

exp	natural exponential function
exp2	base 2 exponential function
expm1	natural exponential function, minus one
log	natural logarithm function
log2	base 2 logarithm function
log10	base 10 logarithm function
log1p	natural logarithm of one plus function

sin	sine function
cos	cosine function
tan	tangent function
asin	arc sine function
acos	arc cosine function
atan	arc tangent function
atan2	arc tangent function, determining quadrants

sinh	hyperbolic sine function
cosh	hyperbolic cosine function
tanh	hyperbolic tangent function
asinh	inverse hyperbolic sine function
acosh	inverse hyperbolic cosine function
atanh	inverse hyperbolic tangent function

erf	error function
erfc	complementary error function
tgamma	gamma function
lgamma	natural logarithm of the gamma function

ceil	nearest integers not less
floor	nearest integers not greater
trunc	nearest integers not greater in magnitude
round	nearest integers, rounding away from zero
nearbyint	nearest integers using current rounding mode
rint	nearest integers using current rounding mode

isfinite	checks for finite values
isinf	checks for infinite values
isnan	checks for NaN values
isclose	element-wise closeness detection
allclose	closeness reduction

sum	sum of elements over given axes
prod	product of elements over given axes
mean	mean of elements over given axes
variance	variance of elements over given axes
stddev	standard deviation of elements over given axes
diff	Calculate the n-th discrete difference along the given axis
amax	amax of elements over given axes
amin	amin of elements over given axes
trapz	Integrate along the given axis using the composite trapezoidal rule
norm_l0	L0 pseudo-norm over given axes
norm_l1	L1 norm over given axes
norm_sq	Squared L2 norm over given axes
norm_l2	L2 norm over given axes
norm_linf	Infinity norm over given axes
norm_lp_to_p	p_th power of Lp norm over given axes
norm_lp	Lp norm over given axes
norm_induced_l1	Induced L1 norm of a matrix
norm_induced_linf	Induced L-infinity norm of a matrix

cumsum	cumulative sum of elements over a given axis
cumprod	cumulative product of elements over given axes

nan_to_num	convert NaN and +/- inf to finite numbers
nansum	sum of elements over a given axis, replacing NaN with 0
nanprod	product of elements over given axes, replacing NaN with 1
nancumsum	cumsum of elements over a given axis, replacing NaN with 0
nancumprod	cumprod of elements over given axes, replacing NaN with 1