math#

import ampform.sympy.math

A collection of basic math operations, used in ampform.dynamics.

class ComplexSqrt(x: Number, *args, **kwargs)[source]#

class ComplexSqrt(x: Expr, *args, **kwargs)

Square root that returns positive imaginary values for negative input.

A special version sqrt() that renders nicely as LaTeX and and can be used as a handle for lambdify printers. See [TR-000] Complex square roots, [TR-001] Custom lambdification, and Printing for how to implement a custom lambdify() printer.

(1)#\[\begin{split}\sqrt[\mathrm{c}]{x} = \begin{cases} i \sqrt{- x} & \text{for}\: x < 0 \\\sqrt{x} & \text{otherwise} \end{cases}\end{split}\]

get_definition() → Piecewise[source]#: Get a symbolic definition for this expression class.

Note

This class is NumPyPrintable, so should not have an evaluate() method (in order to block doit()). This method serves as an equivalent to that.

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