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Description
Need to implement following function in mathematical module
Trigonometric functions
- 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.
- arccos(x, /[, out, where, casting, order, ...]) Trigonometric inverse cosine, element-wise.
- arctan(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.
- 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]) Unwrap by changing deltas between values to 2*pi complement.
- 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.
- arccosh(x, /[, out, where, casting, order, ...]) Inverse hyperbolic cosine, element-wise.
- arctanh(x, /[, out, where, casting, order, ...]) 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, 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.
- 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, 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 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.
Arithmetic operations
- 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.
- subtract(x1, x2, /[, out, where, casting, ...]) Subtract arguments, element-wise.
- true_divide(x1, x2, /[, out, where, ...]) Returns a true division of the inputs, 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, ...]) Return the element-wise remainder of division.
- mod(x1, x2, /[, out, where, casting, order, ...]) Return 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, ...]) Return 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]) Clip (limit) the values in an array.
- sqrt(x, /[, out, where, casting, order, ...]) Return the positive 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]) 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.