Mathematical functions

[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.

[antonwolfy]

dpnp.logaddexp is added by #1561

[antonwolfy]

dpnp.rint is added by #1537

[antonwolfy]

dpnp.signbit is added by #1535

[antonwolfy]

dpnp.angle is added by #1650

[antonwolfy]

dpnp.real and dpnp.imag are added by #1557

[antonwolfy]

dpnp.conj and dpnp.conjugate are added by #1519

[antonwolfy]

dpnp.clip is added by #1645