Mathematical functions¶
Trigonometric functions¶
| sin(x[, out]) | Trigonometric sine, element-wise. |
| cos(x[, out]) | Cosine element-wise. |
| tan(x[, out]) | Compute tangent element-wise. |
| arcsin(x[, out]) | Inverse sine, element-wise. |
| arccos(x[, out]) | Trigonometric inverse cosine, element-wise. |
| arctan(x[, out]) | Trigonometric inverse tangent, element-wise. |
| hypot(x1, x2[, out]) | Given the “legs” of a right triangle, return its hypotenuse. |
| arctan2(x1, x2[, out]) | Element-wise arc tangent of x1/x2 choosing the quadrant correctly. |
| degrees(x[, out]) | Convert angles from radians to degrees. |
| radians(x[, out]) | Convert angles from degrees to radians. |
| unwrap(p[, discont, axis]) | Unwrap by changing deltas between values to 2*pi complement. |
| deg2rad(x[, out]) | Convert angles from degrees to radians. |
| rad2deg(x[, out]) | Convert angles from radians to degrees. |
Hyperbolic functions¶
| sinh(x[, out]) | Hyperbolic sine, element-wise. |
| cosh(x[, out]) | Hyperbolic cosine, element-wise. |
| tanh(x[, out]) | Compute hyperbolic tangent element-wise. |
| arcsinh(x[, out]) | Inverse hyperbolic sine element-wise. |
| arccosh(x[, out]) | Inverse hyperbolic cosine, element-wise. |
| arctanh(x[, out]) | Inverse hyperbolic tangent element-wise. |
Rounding¶
| around(a[, decimals, out]) | Evenly round to the given number of decimals. |
| round_(a[, decimals, out]) | Round an array to the given number of decimals. |
| rint(x[, out]) | Round elements of the array to the nearest integer. |
| fix(x[, y]) | Round to nearest integer towards zero. |
| floor(x[, out]) | Return the floor of the input, element-wise. |
| ceil(x[, out]) | Return the ceiling of the input, element-wise. |
| trunc(x[, out]) | 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. |
| 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]) | Calculate the n-th discrete difference along given axis. |
| ediff1d(ary[, to_end, to_begin]) | The differences between consecutive elements of an array. |
| gradient(f, *varargs, **kwargs) | Return the gradient of an N-dimensional array. |
| cross(a, b[, axisa, axisb, axisc, axis]) | Return the cross product of two (arrays of) vectors. |
| trapz(y[, x, dx, axis]) | Integrate along the given axis using the composite trapezoidal rule. |
Exponents and logarithms¶
| exp(x[, out]) | Calculate the exponential of all elements in the input array. |
| expm1(x[, out]) | Calculate exp(x) - 1 for all elements in the array. |
| exp2(x[, out]) | Calculate 2**p for all p in the input array. |
| log(x[, out]) | Natural logarithm, element-wise. |
| log10(x[, out]) | Return the base 10 logarithm of the input array, element-wise. |
| log2(x[, out]) | Base-2 logarithm of x. |
| log1p(x[, out]) | Return the natural logarithm of one plus the input array, element-wise. |
| logaddexp(x1, x2[, out]) | Logarithm of the sum of exponentiations of the inputs. |
| logaddexp2(x1, x2[, out]) | 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 sinc function. |
Floating point routines¶
| signbit(x[, out]) | Returns element-wise True where signbit is set (less than zero). |
| copysign(x1, x2[, out]) | Change the sign of x1 to that of x2, element-wise. |
| frexp(x[, out1, out2]) | Decompose the elements of x into mantissa and twos exponent. |
| ldexp(x1, x2[, out]) | Returns x1 * 2**x2, element-wise. |
Arithmetic operations¶
| add(x1, x2[, out]) | Add arguments element-wise. |
| reciprocal(x[, out]) | Return the reciprocal of the argument, element-wise. |
| negative(x[, out]) | Numerical negative, element-wise. |
| multiply(x1, x2[, out]) | Multiply arguments element-wise. |
| divide(x1, x2[, out]) | Divide arguments element-wise. |
| power(x1, x2[, out]) | First array elements raised to powers from second array, element-wise. |
| subtract(x1, x2[, out]) | Subtract arguments, element-wise. |
| true_divide(x1, x2[, out]) | Returns a true division of the inputs, element-wise. |
| floor_divide(x1, x2[, out]) | Return the largest integer smaller or equal to the division of the inputs. |
| fmod(x1, x2[, out]) | Return the element-wise remainder of division. |
| mod(x1, x2[, out]) | Return element-wise remainder of division. |
| modf(x[, out1, out2]) | Return the fractional and integral parts of an array, element-wise. |
| remainder(x1, x2[, out]) | Return element-wise remainder of division. |
Handling complex numbers¶
| angle(z[, deg]) | Return the angle of the complex argument. |
| real(val) | Return the real part of the elements of the array. |
| imag(val) | Return the imaginary part of the elements of the array. |
| conj(x[, out]) | Return the complex conjugate, element-wise. |
Miscellaneous¶
| convolve(a, v[, mode]) | Returns the discrete, linear convolution of two one-dimensional sequences. |
| clip(a, a_min, a_max[, out]) | Clip (limit) the values in an array. |
| sqrt(x[, out]) | Return the positive square-root of an array, element-wise. |
| cbrt(x[, out]) | Return the cube-root of an array, element-wise. |
| square(x[, out]) | Return the element-wise square of the input. |
| absolute(x[, out]) | Calculate the absolute value element-wise. |
| fabs(x[, out]) | Compute the absolute values element-wise. |
| sign(x[, out]) | Returns an element-wise indication of the sign of a number. |
| maximum(x1, x2[, out]) | Element-wise maximum of array elements. |
| minimum(x1, x2[, out]) | Element-wise minimum of array elements. |
| fmax(x1, x2[, out]) | Element-wise maximum of array elements. |
| fmin(x1, x2[, out]) | Element-wise minimum of array elements. |
| nan_to_num(x) | Replace nan with zero and inf with finite numbers. |
| real_if_close(a[, tol]) | If complex input returns a real array if complex parts are close to zero. |
| interp(x, xp, fp[, left, right, period]) | One-dimensional linear interpolation. |