Mathematical functions

• Operators and related 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
nonzero	indices selection
where	indices 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

• Basic functions

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

• Exponential functions

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

• Power functions

pow	power function
sqrt	square root function
cbrt	cubic root function
hypot	hypotenuse function

• Trigonometric functions

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

• Hyperbolic functions

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

• Error and gamma functions

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

• Nearest integer floating point operations

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

• Classification functions

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

• Reducing functions

sum	sum of elements over given axes
prod	product of elements over given axes
mean	mean of elements over given axes