Mathematical Functions#

Trigonometric functions#

mars.tensor.sin

Trigonometric sine, element-wise.

mars.tensor.cos

Cosine element-wise.

mars.tensor.tan

Compute tangent element-wise.

mars.tensor.arcsin

Inverse sine, element-wise.

mars.tensor.arccos

Trigonometric inverse cosine, element-wise.

mars.tensor.arctan

Trigonometric inverse tangent, element-wise.

mars.tensor.hypot

Given the "legs" of a right triangle, return its hypotenuse.

mars.tensor.arctan2

Element-wise arc tangent of x1/x2 choosing the quadrant correctly.

mars.tensor.degrees

Convert angles from radians to degrees.

mars.tensor.radians

Convert angles from degrees to radians.

mars.tensor.deg2rad

Convert angles from degrees to radians.

mars.tensor.rad2deg

Convert angles from radians to degrees.

Hyperbolic functions#

mars.tensor.sinh

Hyperbolic sine, element-wise.

mars.tensor.cosh

Hyperbolic cosine, element-wise.

mars.tensor.tanh

Compute hyperbolic tangent element-wise.

mars.tensor.arcsinh

Inverse hyperbolic sine element-wise.

mars.tensor.arccosh

Inverse hyperbolic cosine, element-wise.

mars.tensor.arctanh

Inverse hyperbolic tangent element-wise.

Rounding#

mars.tensor.around

Evenly round to the given number of decimals.

mars.tensor.round_

Evenly round to the given number of decimals.

mars.tensor.rint

Round elements of the tensor to the nearest integer.

mars.tensor.fix

Round to nearest integer towards zero.

mars.tensor.floor

Return the floor of the input, element-wise.

mars.tensor.ceil

Return the ceiling of the input, element-wise.

mars.tensor.trunc

Return the truncated value of the input, element-wise.

Sums, products, differences#

mars.tensor.prod

Return the product of tensor elements over a given axis.

mars.tensor.sum

Sum of tensor elements over a given axis.

mars.tensor.nanprod

Return the product of array elements over a given axis treating Not a Numbers (NaNs) as ones.

mars.tensor.nansum

Return the sum of array elements over a given axis treating Not a Numbers (NaNs) as zero.

mars.tensor.cumprod

Return the cumulative product of elements along a given axis.

mars.tensor.cumsum

Return the cumulative sum of the elements along a given axis.

mars.tensor.nancumprod

Return the cumulative product of tensor elements over a given axis treating Not a Numbers (NaNs) as one.

mars.tensor.nancumsum

Return the cumulative sum of tensor elements over a given axis treating Not a Numbers (NaNs) as zero.

mars.tensor.diff

Calculate the n-th discrete difference along the given axis.

mars.tensor.ediff1d

The differences between consecutive elements of a tensor.

mars.tensor.trapz

Integrate along the given axis using the composite trapezoidal rule.

Exponential and logarithms#

mars.tensor.exp

Calculate the exponential of all elements in the input tensor.

mars.tensor.expm1

Calculate exp(x) - 1 for all elements in the tensor.

mars.tensor.exp2

Calculate 2**p for all p in the input tensor.

mars.tensor.log

Natural logarithm, element-wise.

mars.tensor.log10

Return the base 10 logarithm of the input tensor, element-wise.

mars.tensor.log2

Base-2 logarithm of x.

mars.tensor.log1p

Return the natural logarithm of one plus the input tensor, element-wise.

mars.tensor.logaddexp

Logarithm of the sum of exponentiations of the inputs.

mars.tensor.logaddexp2

Logarithm of the sum of exponentiations of the inputs in base-2.

Other special functions#

mars.tensor.i0

Modified Bessel function of the first kind, order 0.

mars.tensor.sinc

Return the sinc function.

Floating point routines#

mars.tensor.signbit

Returns element-wise True where signbit is set (less than zero).

mars.tensor.copysign

Change the sign of x1 to that of x2, element-wise.

mars.tensor.frexp

Decompose the elements of x into mantissa and twos exponent.

mars.tensor.ldexp

Returns x1 * 2**x2, element-wise.

mars.tensor.nextafter

Return the next floating-point value after x1 towards x2, element-wise.

mars.tensor.spacing

Return the distance between x and the nearest adjacent number.

Arithmetic operations#

mars.tensor.add

Add arguments element-wise.

mars.tensor.reciprocal

Return the reciprocal of the argument, element-wise.

mars.tensor.positive

Numerical positive, element-wise.

mars.tensor.negative

Numerical negative, element-wise.

mars.tensor.multiply

Multiply arguments element-wise.

mars.tensor.divide

Divide arguments element-wise.

mars.tensor.power

First tensor elements raised to powers from second tensor, element-wise.

mars.tensor.subtract

Subtract arguments, element-wise.

mars.tensor.true_divide

Returns a true division of the inputs, element-wise.

mars.tensor.floor_divide

Return the largest integer smaller or equal to the division of the inputs.

mars.tensor.float_power

First tensor elements raised to powers from second array, element-wise.

mars.tensor.fmod

Return the element-wise remainder of division.

mars.tensor.mod

Return element-wise remainder of division.

mars.tensor.modf

Return the fractional and integral parts of a tensor, element-wise.

mars.tensor.remainder

Return element-wise remainder of division.

Handling complex numbers#

mars.tensor.angle

Return the angle of the complex argument.

mars.tensor.real

Return the real part of the complex argument.

mars.tensor.imag

Return the imaginary part of the complex argument.

mars.tensor.conj

Return the complex conjugate, element-wise.

Miscellaneous#

mars.tensor.clip

Clip (limit) the values in a tensor.

mars.tensor.sqrt

Return the positive square-root of an tensor, element-wise.

mars.tensor.cbrt

Return the cube-root of an tensor, element-wise.

mars.tensor.square

Return the element-wise square of the input.

mars.tensor.absolute

Calculate the absolute value element-wise.

mars.tensor.sign

Returns an element-wise indication of the sign of a number.

mars.tensor.maximum

Element-wise maximum of tensor elements.

mars.tensor.minimum

Element-wise minimum of tensor elements.

mars.tensor.fmax

Element-wise maximum of array elements.

mars.tensor.fmin

Element-wise minimum of array elements.

mars.tensor.nan_to_num

Replace nan with zero and inf with large finite numbers.