Detailed Description

Raises an LALUnit structure to a specified rational power.

Author: J. T. Whelan john..nosp@m.whel.nosp@m.an@li.nosp@m.go.o.nosp@m.rg

This function raises the LALUnit structure *input to the rational power *power. In this way, units such as \(\mathrm{s}^{1/2}\) and \(\mathrm{m}^{-1}\) can be created using existing units.

Algorithm

The function first multiplies the overall power of ten input->powerOfTen by the rational number *power, checking to make sure that the resulting power is still an integer. It then multiplies each of the rational powers in *input by *power by naïve multiplication of rational numbers

\[ \left(\frac{N_1}{1+D_1}\right)\left( \frac{N_2}{1+D_2} \right) = \frac{N_1 N_2}{1 + (1+D_1)(1+D_2)-1} \]

and then calls XLALUnitNormalize() to bring the result into standard form.

Prototypes
LALUnit *	XLALUnitRaiseRAT4 (LALUnit output, const LALUnit input, const RAT4 *power)
	Raises a `LALUnit` structure to a rational power given by the `RAT4` structure `power`. More...

LALUnit *	XLALUnitRaiseINT2 (LALUnit output, const LALUnit input, INT2 power)
	Raises a `LALUnit` structure to an integer power `power`. More...

LALUnit *	XLALUnitSquare (LALUnit output, const LALUnit input)
	Produces the square of a `LALUnit` structure. More...

LALUnit *	XLALUnitSqrt (LALUnit output, const LALUnit input)
	Produces the square-root of a `LALUnit` structure. More...

LALUnit *	XLALUnitInvert (LALUnit output, const LALUnit input)
	UNDOCUMENTED. More...

Function Documentation

◆ XLALUnitRaiseRAT4()

LALUnit * XLALUnitRaiseRAT4	(	LALUnit *	output,
		const LALUnit *	input,
		const RAT4 *	power
	)

Raises a LALUnit structure to a rational power given by the RAT4 structure power.

Definition at line 56 of file UnitRaise.c.

◆ XLALUnitRaiseINT2()

LALUnit * XLALUnitRaiseINT2	(	LALUnit *	output,
		const LALUnit *	input,
		INT2	power
	)

Raises a LALUnit structure to an integer power power.

Definition at line 106 of file UnitRaise.c.

◆ XLALUnitSquare()

LALUnit * XLALUnitSquare	(	LALUnit *	output,
		const LALUnit *	input
	)

Produces the square of a LALUnit structure.

Definition at line 120 of file UnitRaise.c.

◆ XLALUnitSqrt()

LALUnit * XLALUnitSqrt	(	LALUnit *	output,
		const LALUnit *	input
	)

Produces the square-root of a LALUnit structure.

Definition at line 133 of file UnitRaise.c.

◆ XLALUnitInvert()

LALUnit * XLALUnitInvert	(	LALUnit *	output,
		const LALUnit *	input
	)

UNDOCUMENTED.

Definition at line 144 of file UnitRaise.c.