datatable.math¶

Trigonometric functions¶

`sin(x)`	Compute \(\sin x\) (the trigonometric sine of `x`).
`cos(x)`	Compute \(\cos x\) (the trigonometric cosine of `x`).
`tan(x)`	Compute \(\tan x\) (the trigonometric tangent of `x`).
`arcsin(x)`	Compute \(\sin^{-1} x\) (the inverse sine of `x`).
`arccos(x)`	Compute \(\cos^{-1} x\) (the inverse cosine of `x`).
`arctan(x)`	Compute \(\tan^{-1} x\) (the inverse tangent of `x`).
`atan2(x, y)`	Compute \(\tan^{-1} (x/y)\).
`hypot(x, y)`	Compute \(\sqrt{x^2 + y^2}\).
`deg2rad(x)`	Convert an angle measured in degrees into radians.
`rad2deg(x)`	Convert an angle measured in radians into degrees.

Hyperbolic functions¶

`sinh(x)`	Compute \(\sinh x\) (the hyperbolic sine of `x`).
`cosh(x)`	Compute \(\cosh x\) (the hyperbolic cosine of `x`).
`tanh(x)`	Compute \(\tanh x\) (the hyperbolic tangent of `x`).
`arsinh(x)`	Compute \(\sinh^{-1} x\) (the inverse hyperbolic sine of `x`).
`arcosh(x)`	Compute \(\cosh^{-1} x\) (the inverse hyperbolic cosine of `x`).
`artanh(x)`	Compute \(\tanh^{-1} x\) (the inverse hyperbolic tangent of `x`).

Exponential/logarithmic functions¶

`exp(x)`	Compute \(e^x\) (the exponent of `x`).
`exp2(x)`	Compute \(2^x\).
`expm1(x)`	Compute \(e^x - 1\).
`log(x)`	Compute \(\ln x\) (the natural logarithm of `x`).
`log10(x)`	Compute \(\log_{10} x\) (the decimal logarithm of `x`).
`log1p(x)`	Compute \(\ln(1 + x)\).
`log2(x)`	Compute \(\log_{2} x\) (the binary logarithm of `x`).
`logaddexp(x)`	Compute \(\ln(e^x + e^y)\).
`logaddexp2(x)`	Compute \(\log_2(2^x + 2^y)\).
`cbrt(x)`	Compute \(\sqrt[3]{x}\) (the cubic root of `x`).
`pow(x, a)`	Compute \(x^a\).
`sqrt(x)`	Compute \(\sqrt{x}\) (the square root of `x`).
`square(x)`	Compute \(x^2\) (the square of `x`).

Special mathemetical functions¶

`erf(x)`	The error function \(\operatorname{erf}(x)\).
`erfc(x)`	The complimentary error function \(1 - \operatorname{erf}(x)\).
`gamma(x)`	Euler gamma function of `x`.
`lgamma(x)`	Natual logarithm of the Euler gamma function of.

Floating-point functions¶

`abs(x)`	Absolute value of `x`.
`ceil(x)`	The smallest integer not less than `x`.
`copysign(x, y)`	Number with the magnitude of `x` and the sign of `y`.
`fabs(x)`	The absolute value of `x`, returned as a float.
`floor(x)`	The largest integer not greater than `x`.
`fmod(x, y)`	Remainder of a floating-point division `x/y`.
`isclose(x, y)`	Check whether `x ≈ y` (up to some tolerance level).
`isfinite(x)`	Check if `x` is finite.
`isinf(x)`	Check if `x` is a positive or negative infinity.
`isna(x)`	Check if `x` is a valid (not-NaN) value.
`ldexp(x, y)`	Compute \(x\cdot 2^y\).
`rint(x)`	Round `x` to the nearest integer.
`sign(x)`	The sign of `x`, as a floating-point value.
`signbit(x)`	The sign of `x`, as a boolean value.
`trunc(x)`	The value of `x` truncated towards zero.

Mathematical constants¶

`e`	Euler’s constant \(e\).
`golden`	Golden ratio \(\varphi\).
`inf`	Positive infinity.
`nan`	Not-a-number.
`pi`	Mathematical constant \(\pi\).
`tau`	Mathematical constant \(\tau\).

Comparison table¶

The set of functions provided by the datatable.math module is very similar to the standard Python’s math module, or numpy math functions. Below is the comparison table showing which functions are available:

math	numpy	datatable
Trigonometric/hyperbolic functions
`sin(x)`	`sin(x)`	`sin(x)`
`cos(x)`	`cos(x)`	`cos(x)`
`tan(x)`	`tan(x)`	`tan(x)`
`asin(x)`	`arcsin(x)`	`arcsin(x)`
`acos(x)`	`arccos(x)`	`arccos(x)`
`atan(x)`	`arctan(x)`	`arctan(x)`
`atan2(y, x)`	`arctan2(y, x)`	`atan2(y, x)`
`sinh(x)`	`sinh(x)`	`sinh(x)`
`cosh(x)`	`cosh(x)`	`cosh(x)`
`tanh(x)`	`tanh(x)`	`tanh(x)`
`asinh(x)`	`arcsinh(x)`	`arsinh(x)`
`acosh(x)`	`arccosh(x)`	`arcosh(x)`
`atanh(x)`	`arctanh(x)`	`artanh(x)`
`hypot(x, y)`	`hypot(x, y)`	`hypot(x, y)`
`radians(x)`	`deg2rad(x)`	`deg2rad(x)`
`degrees(x)`	`rad2deg(x)`	`rad2deg(x)`
Exponential/logarithmic/power functions
`exp(x)`	`exp(x)`	`exp(x)`
	`exp2(x)`	`exp2(x)`
`expm1(x)`	`expm1(x)`	`expm1(x)`
`log(x)`	`log(x)`	`log(x)`
`log10(x)`	`log10(x)`	`log10(x)`
`log1p(x)`	`log1p(x)`	`log1p(x)`
`log2(x)`	`log2(x)`	`log2(x)`
	`logaddexp(x, y)`	`logaddexp(x, y)`
	`logaddexp2(x, y)`	`logaddexp2(x, y)`
	`cbrt(x)`	`cbrt(x)`
`pow(x, a)`	`power(x, a)`	`pow(x, a)`
`sqrt(x)`	`sqrt(x)`	`sqrt(x)`
	`square(x)`	`square(x)`
Special mathematical functions
`erf(x)`		`erf(x)`
`erfc(x)`		`erfc(x)`
`gamma(x)`		`gamma(x)`
	`heaviside(x)`
	`i0(x)`
`lgamma(x)`		`lgamma(x)`
	`sinc(x)`
Floating-point functions
`abs(x)`	`abs(x)`	`abs(x)`
`ceil(x)`	`ceil(x)`	`ceil(x)`
`copysign(x, y)`	`copysign(x, y)`	`copysign(x, y)`
`fabs(x)`	`fabs(x)`	`fabs(x)`
`floor(x)`	`floor(x)`	`floor(x)`
`fmod(x, y)`	`fmod(x, y)`	`fmod(x)`
`frexp(x)`	`frexp(x)`
`isclose(x, y)`	`isclose(x, y)`	`isclose(x, y)`
`isfinite(x)`	`isfinite(x)`	`isfinite(x)`
`isinf(x)`	`isinf(x)`	`isinf(x)`
`isnan(x)`	`isnan(x)`	`isna(x)`
`ldexp(x, n)`	`ldexp(x, n)`	`ldexp(x, n)`
`modf(x)`	`modf(x)`
	`nextafter(x, y)`
	`rint(x)`	`rint(x)`
`round(x)`	`round(x)`	`round(x)`
	`sign(x)`	`sign(x)`
	`signbit(x)`	`signbit(x)`
	`spacing(x)`
`trunc(x)`	`trunc(x)`	`trunc(x)`
Miscellaneous
	`clip(x, a, b)`
`comb(n, k)`
	`divmod(x, y)`
`factorial(n)`
`gcd(a, b)`	`gcd(a, b)`
	`maximum(x, y)`
	`minimum(x, y)`
Mathematical constants
`e`	`e`	`e`
		`golden`
`inf`	`inf`	`inf`
`nan`	`nan`	`nan`
`pi`	`pi`	`pi`
`tau`		`tau`