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Mathematical functions #96

@shssf

Description

@shssf

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.

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