sin
(x, /[, out, where, casting, order, ...])
Trigonometric sine, element-wise.
cos
(x, /[, out, where, casting, order, ...])
Cosine element-wise.
tan
(x, /[, out, where, casting, order, ...])
Compute tangent element-wise.
arcsin
(x, /[, out, where, casting, order, ...])
Inverse sine, element-wise.
asin
(x, /[, out, where, casting, order, ...])
Inverse sine, element-wise.
arccos
(x, /[, out, where, casting, order, ...])
Trigonometric inverse cosine, element-wise.
acos
(x, /[, out, where, casting, order, ...])
Trigonometric inverse cosine, element-wise.
arctan
(x, /[, out, where, casting, order, ...])
Trigonometric inverse tangent, element-wise.
atan
(x, /[, out, where, casting, order, ...])
Trigonometric inverse tangent, element-wise.
hypot
(x1, x2, /[, out, where, casting, ...])
Given the "legs" of a right triangle, return its hypotenuse.
arctan2
(x1, x2, /[, out, where, casting, ...])
Element-wise arc tangent of x1/x2
choosing the quadrant correctly.
atan2
(x1, x2, /[, out, where, casting, ...])
Element-wise arc tangent of x1/x2
choosing the quadrant correctly.
degrees
(x, /[, out, where, casting, order, ...])
Convert angles from radians to degrees.
radians
(x, /[, out, where, casting, order, ...])
Convert angles from degrees to radians.
unwrap
(p[, discont, axis, period])
Unwrap by taking the complement of large deltas with respect to the period.
deg2rad
(x, /[, out, where, casting, order, ...])
Convert angles from degrees to radians.
rad2deg
(x, /[, out, where, casting, order, ...])
Convert angles from radians to degrees.
Hyperbolic functions#sinh
(x, /[, out, where, casting, order, ...])
Hyperbolic sine, element-wise.
cosh
(x, /[, out, where, casting, order, ...])
Hyperbolic cosine, element-wise.
tanh
(x, /[, out, where, casting, order, ...])
Compute hyperbolic tangent element-wise.
arcsinh
(x, /[, out, where, casting, order, ...])
Inverse hyperbolic sine element-wise.
asinh
(x, /[, out, where, casting, order, ...])
Inverse hyperbolic sine element-wise.
arccosh
(x, /[, out, where, casting, order, ...])
Inverse hyperbolic cosine, element-wise.
acosh
(x, /[, out, where, casting, order, ...])
Inverse hyperbolic cosine, element-wise.
arctanh
(x, /[, out, where, casting, order, ...])
Inverse hyperbolic tangent element-wise.
atanh
(x, /[, out, where, casting, order, ...])
Inverse hyperbolic tangent element-wise.
Rounding#round
(a[, decimals, out])
Evenly round to the given number of decimals.
around
(a[, decimals, out])
Round an array to the given number of decimals.
rint
(x, /[, out, where, casting, order, ...])
Round elements of the array to the nearest integer.
fix
(x[, out])
Round to nearest integer towards zero.
floor
(x, /[, out, where, casting, order, ...])
Return the floor of the input, element-wise.
ceil
(x, /[, out, where, casting, order, ...])
Return the ceiling of the input, element-wise.
trunc
(x, /[, out, where, casting, order, ...])
Return the truncated value of the input, element-wise.
Sums, products, differences#prod
(a[, axis, dtype, out, keepdims, ...])
Return the product of array elements over a given axis.
sum
(a[, axis, dtype, out, keepdims, ...])
Sum of array elements over a given axis.
nanprod
(a[, axis, dtype, out, keepdims, ...])
Return the product of array elements over a given axis treating Not a Numbers (NaNs) as ones.
nansum
(a[, axis, dtype, out, keepdims, ...])
Return the sum of array elements over a given axis treating Not a Numbers (NaNs) as zero.
cumulative_sum
(x, /, *[, axis, dtype, out, ...])
Return the cumulative sum of the elements along a given axis.
cumulative_prod
(x, /, *[, axis, dtype, out, ...])
Return the cumulative product of elements along a given axis.
cumprod
(a[, axis, dtype, out])
Return the cumulative product of elements along a given axis.
cumsum
(a[, axis, dtype, out])
Return the cumulative sum of the elements along a given axis.
nancumprod
(a[, axis, dtype, out])
Return the cumulative product of array elements over a given axis treating Not a Numbers (NaNs) as one.
nancumsum
(a[, axis, dtype, out])
Return the cumulative sum of array elements over a given axis treating Not a Numbers (NaNs) as zero.
diff
(a[, n, axis, prepend, append])
Calculate the n-th discrete difference along the given axis.
ediff1d
(ary[, to_end, to_begin])
The differences between consecutive elements of an array.
gradient
(f, *varargs[, axis, edge_order])
Return the gradient of an N-dimensional array.
cross
(a, b[, axisa, axisb, axisc, axis])
Return the cross product of two (arrays of) vectors.
trapezoid
(y[, x, dx, axis])
Integrate along the given axis using the composite trapezoidal rule.
Exponents and logarithms#exp
(x, /[, out, where, casting, order, ...])
Calculate the exponential of all elements in the input array.
expm1
(x, /[, out, where, casting, order, ...])
Calculate exp(x) - 1
for all elements in the array.
exp2
(x, /[, out, where, casting, order, ...])
Calculate 2**p for all p in the input array.
log
(x, /[, out, where, casting, order, ...])
Natural logarithm, element-wise.
log10
(x, /[, out, where, casting, order, ...])
Return the base 10 logarithm of the input array, element-wise.
log2
(x, /[, out, where, casting, order, ...])
Base-2 logarithm of x.
log1p
(x, /[, out, where, casting, order, ...])
Return the natural logarithm of one plus the input array, element-wise.
logaddexp
(x1, x2, /[, out, where, casting, ...])
Logarithm of the sum of exponentiations of the inputs.
logaddexp2
(x1, x2, /[, out, where, casting, ...])
Logarithm of the sum of exponentiations of the inputs in base-2.
Other special functions#i0
(x)
Modified Bessel function of the first kind, order 0.
sinc
(x)
Return the normalized sinc function.
Floating point routines#signbit
(x, /[, out, where, casting, order, ...])
Returns element-wise True where signbit is set (less than zero).
copysign
(x1, x2, /[, out, where, casting, ...])
Change the sign of x1 to that of x2, element-wise.
frexp
(x[, out1, out2], / [[, out, where, ...])
Decompose the elements of x into mantissa and twos exponent.
ldexp
(x1, x2, /[, out, where, casting, ...])
Returns x1 * 2**x2, element-wise.
nextafter
(x1, x2, /[, out, where, casting, ...])
Return the next floating-point value after x1 towards x2, element-wise.
spacing
(x, /[, out, where, casting, order, ...])
Return the distance between x and the nearest adjacent number.
Rational routines#lcm
(x1, x2, /[, out, where, casting, order, ...])
Returns the lowest common multiple of |x1|
and |x2|
gcd
(x1, x2, /[, out, where, casting, order, ...])
Returns the greatest common divisor of |x1|
and |x2|
add
(x1, x2, /[, out, where, casting, order, ...])
Add arguments element-wise.
reciprocal
(x, /[, out, where, casting, ...])
Return the reciprocal of the argument, element-wise.
positive
(x, /[, out, where, casting, order, ...])
Numerical positive, element-wise.
negative
(x, /[, out, where, casting, order, ...])
Numerical negative, element-wise.
multiply
(x1, x2, /[, out, where, casting, ...])
Multiply arguments element-wise.
divide
(x1, x2, /[, out, where, casting, ...])
Divide arguments element-wise.
power
(x1, x2, /[, out, where, casting, ...])
First array elements raised to powers from second array, element-wise.
pow
(x1, x2, /[, out, where, casting, order, ...])
First array elements raised to powers from second array, element-wise.
subtract
(x1, x2, /[, out, where, casting, ...])
Subtract arguments, element-wise.
true_divide
(x1, x2, /[, out, where, ...])
Divide arguments element-wise.
floor_divide
(x1, x2, /[, out, where, ...])
Return the largest integer smaller or equal to the division of the inputs.
float_power
(x1, x2, /[, out, where, ...])
First array elements raised to powers from second array, element-wise.
fmod
(x1, x2, /[, out, where, casting, ...])
Returns the element-wise remainder of division.
mod
(x1, x2, /[, out, where, casting, order, ...])
Returns the element-wise remainder of division.
modf
(x[, out1, out2], / [[, out, where, ...])
Return the fractional and integral parts of an array, element-wise.
remainder
(x1, x2, /[, out, where, casting, ...])
Returns the element-wise remainder of division.
divmod
(x1, x2[, out1, out2], / [[, out, ...])
Return element-wise quotient and remainder simultaneously.
Handling complex numbers#angle
(z[, deg])
Return the angle of the complex argument.
real
(val)
Return the real part of the complex argument.
imag
(val)
Return the imaginary part of the complex argument.
conj
(x, /[, out, where, casting, order, ...])
Return the complex conjugate, element-wise.
conjugate
(x, /[, out, where, casting, ...])
Return the complex conjugate, element-wise.
Extrema finding#maximum
(x1, x2, /[, out, where, casting, ...])
Element-wise maximum of array elements.
max
(a[, axis, out, keepdims, initial, where])
Return the maximum of an array or maximum along an axis.
amax
(a[, axis, out, keepdims, initial, where])
Return the maximum of an array or maximum along an axis.
fmax
(x1, x2, /[, out, where, casting, ...])
Element-wise maximum of array elements.
nanmax
(a[, axis, out, keepdims, initial, where])
Return the maximum of an array or maximum along an axis, ignoring any NaNs.
minimum
(x1, x2, /[, out, where, casting, ...])
Element-wise minimum of array elements.
min
(a[, axis, out, keepdims, initial, where])
Return the minimum of an array or minimum along an axis.
amin
(a[, axis, out, keepdims, initial, where])
Return the minimum of an array or minimum along an axis.
fmin
(x1, x2, /[, out, where, casting, ...])
Element-wise minimum of array elements.
nanmin
(a[, axis, out, keepdims, initial, where])
Return minimum of an array or minimum along an axis, ignoring any NaNs.
Miscellaneous#convolve
(a, v[, mode])
Returns the discrete, linear convolution of two one-dimensional sequences.
clip
(a[, a_min, a_max, out, min, max])
Clip (limit) the values in an array.
sqrt
(x, /[, out, where, casting, order, ...])
Return the non-negative square-root of an array, element-wise.
cbrt
(x, /[, out, where, casting, order, ...])
Return the cube-root of an array, element-wise.
square
(x, /[, out, where, casting, order, ...])
Return the element-wise square of the input.
absolute
(x, /[, out, where, casting, order, ...])
Calculate the absolute value element-wise.
fabs
(x, /[, out, where, casting, order, ...])
Compute the absolute values element-wise.
sign
(x, /[, out, where, casting, order, ...])
Returns an element-wise indication of the sign of a number.
heaviside
(x1, x2, /[, out, where, casting, ...])
Compute the Heaviside step function.
nan_to_num
(x[, copy, nan, posinf, neginf])
Replace NaN with zero and infinity with large finite numbers (default behaviour) or with the numbers defined by the user using the nan
, posinf and/or neginf keywords.
real_if_close
(a[, tol])
If input is complex with all imaginary parts close to zero, return real parts.
interp
(x, xp, fp[, left, right, period])
One-dimensional linear interpolation for monotonically increasing sample points.
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