A collection of simple vector operations on arrays of floats, accelerated with SIMD instructions where possible. More...

#include <juce_FloatVectorOperations.h>

Static Public Member Functions
static void	abs (float dest, const float src, int numValues) noexcept
	Copies a source vector to a destination, taking the absolute of each value. More...

static void	abs (double dest, const double src, int numValues) noexcept
	Copies a source vector to a destination, taking the absolute of each value. More...

static void	add (float *dest, float amountToAdd, int numValues) noexcept
	Adds a fixed value to the destination values. More...

static void	add (double *dest, double amountToAdd, int numValues) noexcept
	Adds a fixed value to the destination values. More...

static void	add (float dest, const float src, float amount, int numValues) noexcept
	Adds a fixed value to each source value and stores it in the destination array. More...

static void	add (double dest, const double src, double amount, int numValues) noexcept
	Adds a fixed value to each source value and stores it in the destination array. More...

static void	add (float dest, const float src, int numValues) noexcept
	Adds the source values to the destination values. More...

static void	add (double dest, const double src, int numValues) noexcept
	Adds the source values to the destination values. More...

static void	add (float dest, const float src1, const float *src2, int num) noexcept
	Adds each source1 value to the corresponding source2 value and stores the result in the destination array. More...

static void	add (double dest, const double src1, const double *src2, int num) noexcept
	Adds each source1 value to the corresponding source2 value and stores the result in the destination array. More...

static void	addWithMultiply (float dest, const float src, float multiplier, int numValues) noexcept
	Multiplies each source value by the given multiplier, then adds it to the destination value. More...

static void	addWithMultiply (double dest, const double src, double multiplier, int numValues) noexcept
	Multiplies each source value by the given multiplier, then adds it to the destination value. More...

static void	addWithMultiply (float dest, const float src1, const float *src2, int num) noexcept
	Multiplies each source1 value by the corresponding source2 value, then adds it to the destination value. More...

static void	addWithMultiply (double dest, const double src1, const double *src2, int num) noexcept
	Multiplies each source1 value by the corresponding source2 value, then adds it to the destination value. More...

static void	clear (float *dest, int numValues) noexcept
	Clears a vector of floats. More...

static void	clear (double *dest, int numValues) noexcept
	Clears a vector of doubles. More...

static void	clip (float dest, const float src, float low, float high, int num) noexcept
	Each element of dest is calculated by hard clipping the corresponding src element so that it is in the range specified by the arguments low and high. More...

static void	clip (double dest, const double src, double low, double high, int num) noexcept
	Each element of dest is calculated by hard clipping the corresponding src element so that it is in the range specified by the arguments low and high. More...

static void	convertFixedToFloat (float dest, const int src, float multiplier, int numValues) noexcept
	Converts a stream of integers to floats, multiplying each one by the given multiplier. More...

static void	copy (float dest, const float src, int numValues) noexcept
	Copies a vector of floats. More...

static void	copy (double dest, const double src, int numValues) noexcept
	Copies a vector of doubles. More...

static void	copyWithMultiply (float dest, const float src, float multiplier, int numValues) noexcept
	Copies a vector of floats, multiplying each value by a given multiplier. More...

static void	copyWithMultiply (double dest, const double src, double multiplier, int numValues) noexcept
	Copies a vector of doubles, multiplying each value by a given multiplier. More...

static void	disableDenormalisedNumberSupport () noexcept
	On Intel CPUs, this method enables the SSE flush-to-zero and denormalised-are-zero modes. More...

static void	enableFlushToZeroMode (bool shouldEnable) noexcept
	On Intel CPUs, this method enables or disables the SSE flush-to-zero mode. More...

static void	fill (float *dest, float valueToFill, int numValues) noexcept
	Copies a repeated value into a vector of floats. More...

static void	fill (double *dest, double valueToFill, int numValues) noexcept
	Copies a repeated value into a vector of doubles. More...

static float	findMaximum (const float *src, int numValues) noexcept
	Finds the maximum value in the given array. More...

static double	findMaximum (const double *src, int numValues) noexcept
	Finds the maximum value in the given array. More...

static Range< float >	findMinAndMax (const float *src, int numValues) noexcept
	Finds the miniumum and maximum values in the given array. More...

static Range< double >	findMinAndMax (const double *src, int numValues) noexcept
	Finds the miniumum and maximum values in the given array. More...

static float	findMinimum (const float *src, int numValues) noexcept
	Finds the miniumum value in the given array. More...

static double	findMinimum (const double *src, int numValues) noexcept
	Finds the miniumum value in the given array. More...

static void	max (float dest, const float src, float comp, int num) noexcept
	Each element of dest will be the maximum of the corresponding element of the source array and the given comp value. More...

static void	max (double dest, const double src, double comp, int num) noexcept
	Each element of dest will be the maximum of the corresponding element of the source array and the given comp value. More...

static void	max (float dest, const float src1, const float *src2, int num) noexcept
	Each element of dest will be the maximum of the corresponding source1 and source2 values. More...

static void	max (double dest, const double src1, const double *src2, int num) noexcept
	Each element of dest will be the maximum of the corresponding source1 and source2 values. More...

static void	min (float dest, const float src, float comp, int num) noexcept
	Each element of dest will be the minimum of the corresponding element of the source array and the given comp value. More...

static void	min (double dest, const double src, double comp, int num) noexcept
	Each element of dest will be the minimum of the corresponding element of the source array and the given comp value. More...

static void	min (float dest, const float src1, const float *src2, int num) noexcept
	Each element of dest will be the minimum of the corresponding source1 and source2 values. More...

static void	min (double dest, const double src1, const double *src2, int num) noexcept
	Each element of dest will be the minimum of the corresponding source1 and source2 values. More...

static void	multiply (float dest, const float src, int numValues) noexcept
	Multiplies the destination values by the source values. More...

static void	multiply (double dest, const double src, int numValues) noexcept
	Multiplies the destination values by the source values. More...

static void	multiply (float dest, const float src1, const float *src2, int numValues) noexcept
	Multiplies each source1 value by the correspinding source2 value, then stores it in the destination array. More...

static void	multiply (double dest, const double src1, const double *src2, int numValues) noexcept
	Multiplies each source1 value by the correspinding source2 value, then stores it in the destination array. More...

static void	multiply (float *dest, float multiplier, int numValues) noexcept
	Multiplies each of the destination values by a fixed multiplier. More...

static void	multiply (double *dest, double multiplier, int numValues) noexcept
	Multiplies each of the destination values by a fixed multiplier. More...

static void	multiply (float dest, const float src, float multiplier, int num) noexcept
	Multiplies each of the source values by a fixed multiplier and stores the result in the destination array. More...

static void	multiply (double dest, const double src, double multiplier, int num) noexcept
	Multiplies each of the source values by a fixed multiplier and stores the result in the destination array. More...

static void	negate (float dest, const float src, int numValues) noexcept
	Copies a source vector to a destination, negating each value. More...

static void	negate (double dest, const double src, int numValues) noexcept
	Copies a source vector to a destination, negating each value. More...

static void	subtract (float dest, const float src, int numValues) noexcept
	Subtracts the source values from the destination values. More...

static void	subtract (double dest, const double src, int numValues) noexcept
	Subtracts the source values from the destination values. More...

static void	subtract (float dest, const float src1, const float *src2, int num) noexcept
	Subtracts each source2 value from the corresponding source1 value and stores the result in the destination array. More...

static void	subtract (double dest, const double src1, const double *src2, int num) noexcept
	Subtracts each source2 value from the corresponding source1 value and stores the result in the destination array. More...

static void	subtractWithMultiply (float dest, const float src, float multiplier, int numValues) noexcept
	Multiplies each source value by the given multiplier, then subtracts it to the destination value. More...

static void	subtractWithMultiply (double dest, const double src, double multiplier, int numValues) noexcept
	Multiplies each source value by the given multiplier, then subtracts it to the destination value. More...

static void	subtractWithMultiply (float dest, const float src1, const float *src2, int num) noexcept
	Multiplies each source1 value by the corresponding source2 value, then subtracts it to the destination value. More...

static void	subtractWithMultiply (double dest, const double src1, const double *src2, int num) noexcept
	Multiplies each source1 value by the corresponding source2 value, then subtracts it to the destination value. More...

Detailed Description

A collection of simple vector operations on arrays of floats, accelerated with SIMD instructions where possible.

Member Function Documentation

◆ abs() [1/2]

static void FloatVectorOperations::abs	(	float *	dest,
		const float *	src,
		int	numValues
	)

staticnoexcept

Copies a source vector to a destination, taking the absolute of each value.

Referenced by AudioBlock< SampleType >::replaceWithAbsoluteValueOf().

◆ abs() [2/2]

static void FloatVectorOperations::abs	(	double *	dest,
		const double *	src,
		int	numValues
	)

staticnoexcept

Copies a source vector to a destination, taking the absolute of each value.

◆ add() [1/8]

static void FloatVectorOperations::add	(	float *	dest,
		float	amountToAdd,
		int	numValues
	)

staticnoexcept

Adds a fixed value to the destination values.

Referenced by AudioBlock< SampleType >::add(), AudioBuffer< double >::addFrom(), and Bias< FloatType >::process().

◆ add() [2/8]

static void FloatVectorOperations::add	(	double *	dest,
		double	amountToAdd,
		int	numValues
	)

staticnoexcept

Adds a fixed value to the destination values.

◆ add() [3/8]

static void FloatVectorOperations::add	(	float *	dest,
		const float *	src,
		float	amount,
		int	numValues
	)

staticnoexcept

Adds a fixed value to each source value and stores it in the destination array.

◆ add() [4/8]

static void FloatVectorOperations::add	(	double *	dest,
		const double *	src,
		double	amount,
		int	numValues
	)

staticnoexcept

Adds a fixed value to each source value and stores it in the destination array.

◆ add() [5/8]

static void FloatVectorOperations::add	(	float *	dest,
		const float *	src,
		int	numValues
	)

staticnoexcept

Adds the source values to the destination values.

◆ add() [6/8]

static void FloatVectorOperations::add	(	double *	dest,
		const double *	src,
		int	numValues
	)

staticnoexcept

Adds the source values to the destination values.

◆ add() [7/8]

static void FloatVectorOperations::add	(	float *	dest,
		const float *	src1,
		const float *	src2,
		int	num
	)

staticnoexcept

Adds each source1 value to the corresponding source2 value and stores the result in the destination array.

◆ add() [8/8]

static void FloatVectorOperations::add	(	double *	dest,
		const double *	src1,
		const double *	src2,
		int	num
	)

staticnoexcept

Adds each source1 value to the corresponding source2 value and stores the result in the destination array.

◆ addWithMultiply() [1/4]

static void FloatVectorOperations::addWithMultiply	(	float *	dest,
		const float *	src,
		float	multiplier,
		int	numValues
	)

staticnoexcept

Multiplies each source value by the given multiplier, then adds it to the destination value.

Referenced by AudioBuffer< double >::addFrom(), and AudioBlock< SampleType >::addWithMultiply().

◆ addWithMultiply() [2/4]

static void FloatVectorOperations::addWithMultiply	(	double *	dest,
		const double *	src,
		double	multiplier,
		int	numValues
	)

staticnoexcept

Multiplies each source value by the given multiplier, then adds it to the destination value.

◆ addWithMultiply() [3/4]

static void FloatVectorOperations::addWithMultiply	(	float *	dest,
		const float *	src1,
		const float *	src2,
		int	num
	)

staticnoexcept

Multiplies each source1 value by the corresponding source2 value, then adds it to the destination value.

◆ addWithMultiply() [4/4]

static void FloatVectorOperations::addWithMultiply	(	double *	dest,
		const double *	src1,
		const double *	src2,
		int	num
	)

staticnoexcept

Multiplies each source1 value by the corresponding source2 value, then adds it to the destination value.

◆ clear() [1/2]

static void FloatVectorOperations::clear	(	float *	dest,
		int	numValues
	)

staticnoexcept

Clears a vector of floats.

Referenced by AudioBuffer< double >::applyGain(), AudioBlock< SampleType >::clear(), AudioBuffer< double >::clear(), and AudioBuffer< double >::copyFrom().

◆ clear() [2/2]

static void FloatVectorOperations::clear	(	double *	dest,
		int	numValues
	)

staticnoexcept

Clears a vector of doubles.

◆ clip() [1/2]

static void FloatVectorOperations::clip	(	float *	dest,
		const float *	src,
		float	low,
		float	high,
		int	num
	)

staticnoexcept

Each element of dest is calculated by hard clipping the corresponding src element so that it is in the range specified by the arguments low and high.

◆ clip() [2/2]

static void FloatVectorOperations::clip	(	double *	dest,
		const double *	src,
		double	low,
		double	high,
		int	num
	)

staticnoexcept

Each element of dest is calculated by hard clipping the corresponding src element so that it is in the range specified by the arguments low and high.

◆ convertFixedToFloat()

static void FloatVectorOperations::convertFixedToFloat	(	float *	dest,
		const int *	src,
		float	multiplier,
		int	numValues
	)

staticnoexcept

Converts a stream of integers to floats, multiplying each one by the given multiplier.

◆ copy() [1/2]

static void FloatVectorOperations::copy	(	float *	dest,
		const float *	src,
		int	numValues
	)

staticnoexcept

Copies a vector of floats.

Referenced by AudioBuffer< double >::addFrom(), AudioBuffer< double >::AudioBuffer(), AudioBlock< SampleType >::copy(), AudioBuffer< double >::copyFrom(), AudioBuffer< double >::operator=(), and AudioBuffer< double >::setSize().

◆ copy() [2/2]

static void FloatVectorOperations::copy	(	double *	dest,
		const double *	src,
		int	numValues
	)

staticnoexcept

Copies a vector of doubles.

◆ copyWithMultiply() [1/2]

static void FloatVectorOperations::copyWithMultiply	(	float *	dest,
		const float *	src,
		float	multiplier,
		int	numValues
	)

staticnoexcept

Copies a vector of floats, multiplying each value by a given multiplier.

Referenced by AudioBuffer< double >::addFrom(), and AudioBuffer< double >::copyFrom().

◆ copyWithMultiply() [2/2]

static void FloatVectorOperations::copyWithMultiply	(	double *	dest,
		const double *	src,
		double	multiplier,
		int	numValues
	)

staticnoexcept

Copies a vector of doubles, multiplying each value by a given multiplier.

◆ disableDenormalisedNumberSupport()

static void FloatVectorOperations::disableDenormalisedNumberSupport ( )

staticnoexcept

On Intel CPUs, this method enables the SSE flush-to-zero and denormalised-are-zero modes.

This effectively sets the DAZ and FZ bits of the MXCSR register. It's a convenient thing to call before audio processing code where you really want to avoid denormalisation performance hits.

◆ enableFlushToZeroMode()

static void FloatVectorOperations::enableFlushToZeroMode ( bool shouldEnable )

staticnoexcept

On Intel CPUs, this method enables or disables the SSE flush-to-zero mode.

Effectively, this is a wrapper around a call to _MM_SET_FLUSH_ZERO_MODE

◆ fill() [1/2]

static void FloatVectorOperations::fill	(	float *	dest,
		float	valueToFill,
		int	numValues
	)

staticnoexcept

Copies a repeated value into a vector of floats.

Referenced by AudioBlock< SampleType >::fill().

◆ fill() [2/2]

static void FloatVectorOperations::fill	(	double *	dest,
		double	valueToFill,
		int	numValues
	)

staticnoexcept

Copies a repeated value into a vector of doubles.

◆ findMaximum() [1/2]

static float FloatVectorOperations::findMaximum	(	const float *	src,
		int	numValues
	)

staticnoexcept

Finds the maximum value in the given array.

◆ findMaximum() [2/2]

static double FloatVectorOperations::findMaximum	(	const double *	src,
		int	numValues
	)

staticnoexcept

Finds the maximum value in the given array.

◆ findMinAndMax() [1/2]

static Range<float> FloatVectorOperations::findMinAndMax	(	const float *	src,
		int	numValues
	)

staticnoexcept

Finds the miniumum and maximum values in the given array.

Referenced by AudioBlock< SampleType >::findMinAndMax(), and AudioBuffer< double >::findMinMax().

◆ findMinAndMax() [2/2]

static Range<double> FloatVectorOperations::findMinAndMax	(	const double *	src,
		int	numValues
	)

staticnoexcept

Finds the miniumum and maximum values in the given array.

◆ findMinimum() [1/2]

static float FloatVectorOperations::findMinimum	(	const float *	src,
		int	numValues
	)

staticnoexcept

Finds the miniumum value in the given array.

◆ findMinimum() [2/2]

static double FloatVectorOperations::findMinimum	(	const double *	src,
		int	numValues
	)

staticnoexcept

Finds the miniumum value in the given array.

◆ max() [1/4]

static void FloatVectorOperations::max	(	float *	dest,
		const float *	src,
		float	comp,
		int	num
	)

staticnoexcept

Each element of dest will be the maximum of the corresponding element of the source array and the given comp value.

Referenced by AudioBlock< SampleType >::max().

◆ max() [2/4]

static void FloatVectorOperations::max	(	double *	dest,
		const double *	src,
		double	comp,
		int	num
	)

staticnoexcept

Each element of dest will be the maximum of the corresponding element of the source array and the given comp value.

◆ max() [3/4]

static void FloatVectorOperations::max	(	float *	dest,
		const float *	src1,
		const float *	src2,
		int	num
	)

staticnoexcept

Each element of dest will be the maximum of the corresponding source1 and source2 values.

◆ max() [4/4]

static void FloatVectorOperations::max	(	double *	dest,
		const double *	src1,
		const double *	src2,
		int	num
	)

staticnoexcept

Each element of dest will be the maximum of the corresponding source1 and source2 values.

◆ min() [1/4]

static void FloatVectorOperations::min	(	float *	dest,
		const float *	src,
		float	comp,
		int	num
	)

staticnoexcept

Each element of dest will be the minimum of the corresponding element of the source array and the given comp value.

Referenced by AudioBlock< SampleType >::min().

◆ min() [2/4]

static void FloatVectorOperations::min	(	double *	dest,
		const double *	src,
		double	comp,
		int	num
	)

staticnoexcept

Each element of dest will be the minimum of the corresponding element of the source array and the given comp value.

◆ min() [3/4]

static void FloatVectorOperations::min	(	float *	dest,
		const float *	src1,
		const float *	src2,
		int	num
	)

staticnoexcept

Each element of dest will be the minimum of the corresponding source1 and source2 values.

◆ min() [4/4]

static void FloatVectorOperations::min	(	double *	dest,
		const double *	src1,
		const double *	src2,
		int	num
	)

staticnoexcept

Each element of dest will be the minimum of the corresponding source1 and source2 values.

◆ multiply() [1/8]

static void FloatVectorOperations::multiply	(	float *	dest,
		const float *	src,
		int	numValues
	)

staticnoexcept

Multiplies the destination values by the source values.

Referenced by LinearSmoothedValue< FloatType >::applyGain(), AudioBuffer< double >::applyGain(), AudioBlock< SampleType >::multiply(), and Gain< FloatType >::process().

◆ multiply() [2/8]

static void FloatVectorOperations::multiply	(	double *	dest,
		const double *	src,
		int	numValues
	)

staticnoexcept

Multiplies the destination values by the source values.

◆ multiply() [3/8]

static void FloatVectorOperations::multiply	(	float *	dest,
		const float *	src1,
		const float *	src2,
		int	numValues
	)

staticnoexcept

Multiplies each source1 value by the correspinding source2 value, then stores it in the destination array.

◆ multiply() [4/8]

static void FloatVectorOperations::multiply	(	double *	dest,
		const double *	src1,
		const double *	src2,
		int	numValues
	)

staticnoexcept

Multiplies each source1 value by the correspinding source2 value, then stores it in the destination array.

◆ multiply() [5/8]

static void FloatVectorOperations::multiply	(	float *	dest,
		float	multiplier,
		int	numValues
	)

staticnoexcept

Multiplies each of the destination values by a fixed multiplier.

◆ multiply() [6/8]

static void FloatVectorOperations::multiply	(	double *	dest,
		double	multiplier,
		int	numValues
	)

staticnoexcept

Multiplies each of the destination values by a fixed multiplier.

◆ multiply() [7/8]

static void FloatVectorOperations::multiply	(	float *	dest,
		const float *	src,
		float	multiplier,
		int	num
	)

staticnoexcept

Multiplies each of the source values by a fixed multiplier and stores the result in the destination array.

◆ multiply() [8/8]

static void FloatVectorOperations::multiply	(	double *	dest,
		const double *	src,
		double	multiplier,
		int	num
	)

staticnoexcept

Multiplies each of the source values by a fixed multiplier and stores the result in the destination array.

◆ negate() [1/2]

static void FloatVectorOperations::negate	(	float *	dest,
		const float *	src,
		int	numValues
	)

staticnoexcept

Copies a source vector to a destination, negating each value.

Referenced by AudioBlock< SampleType >::replaceWithNegativeOf().

◆ negate() [2/2]

static void FloatVectorOperations::negate	(	double *	dest,
		const double *	src,
		int	numValues
	)

staticnoexcept

Copies a source vector to a destination, negating each value.

◆ subtract() [1/4]

static void FloatVectorOperations::subtract	(	float *	dest,
		const float *	src,
		int	numValues
	)

staticnoexcept

Subtracts the source values from the destination values.

Referenced by AudioBlock< SampleType >::subtract().

◆ subtract() [2/4]

static void FloatVectorOperations::subtract	(	double *	dest,
		const double *	src,
		int	numValues
	)

staticnoexcept

Subtracts the source values from the destination values.

◆ subtract() [3/4]

static void FloatVectorOperations::subtract	(	float *	dest,
		const float *	src1,
		const float *	src2,
		int	num
	)

staticnoexcept

Subtracts each source2 value from the corresponding source1 value and stores the result in the destination array.

◆ subtract() [4/4]

static void FloatVectorOperations::subtract	(	double *	dest,
		const double *	src1,
		const double *	src2,
		int	num
	)

staticnoexcept

Subtracts each source2 value from the corresponding source1 value and stores the result in the destination array.

◆ subtractWithMultiply() [1/4]

static void FloatVectorOperations::subtractWithMultiply	(	float *	dest,
		const float *	src,
		float	multiplier,
		int	numValues
	)

staticnoexcept

Multiplies each source value by the given multiplier, then subtracts it to the destination value.

◆ subtractWithMultiply() [2/4]

static void FloatVectorOperations::subtractWithMultiply	(	double *	dest,
		const double *	src,
		double	multiplier,
		int	numValues
	)

staticnoexcept

Multiplies each source value by the given multiplier, then subtracts it to the destination value.

◆ subtractWithMultiply() [3/4]

static void FloatVectorOperations::subtractWithMultiply	(	float *	dest,
		const float *	src1,
		const float *	src2,
		int	num
	)

staticnoexcept

Multiplies each source1 value by the corresponding source2 value, then subtracts it to the destination value.

◆ subtractWithMultiply() [4/4]

static void FloatVectorOperations::subtractWithMultiply	(	double *	dest,
		const double *	src1,
		const double *	src2,
		int	num
	)

staticnoexcept

Multiplies each source1 value by the corresponding source2 value, then subtracts it to the destination value.

The documentation for this class was generated from the following file:

juce_FloatVectorOperations.h

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ abs() [1/2]

◆ abs() [2/2]

◆ add() [1/8]

◆ add() [2/8]

◆ add() [3/8]

◆ add() [4/8]

◆ add() [5/8]

◆ add() [6/8]

◆ add() [7/8]

◆ add() [8/8]

◆ addWithMultiply() [1/4]

◆ addWithMultiply() [2/4]

◆ addWithMultiply() [3/4]

◆ addWithMultiply() [4/4]

◆ clear() [1/2]

◆ clear() [2/2]

◆ clip() [1/2]

◆ clip() [2/2]

◆ convertFixedToFloat()

◆ copy() [1/2]

◆ copy() [2/2]

◆ copyWithMultiply() [1/2]

◆ copyWithMultiply() [2/2]

◆ disableDenormalisedNumberSupport()

◆ enableFlushToZeroMode()

◆ fill() [1/2]

◆ fill() [2/2]

◆ findMaximum() [1/2]

◆ findMaximum() [2/2]

◆ findMinAndMax() [1/2]

◆ findMinAndMax() [2/2]

◆ findMinimum() [1/2]

◆ findMinimum() [2/2]

◆ max() [1/4]

◆ max() [2/4]

◆ max() [3/4]

◆ max() [4/4]

◆ min() [1/4]

◆ min() [2/4]

◆ min() [3/4]

◆ min() [4/4]

◆ multiply() [1/8]

◆ multiply() [2/8]

◆ multiply() [3/8]

◆ multiply() [4/8]

◆ multiply() [5/8]

◆ multiply() [6/8]

◆ multiply() [7/8]

◆ multiply() [8/8]

◆ negate() [1/2]

◆ negate() [2/2]

◆ subtract() [1/4]

◆ subtract() [2/4]

◆ subtract() [3/4]

◆ subtract() [4/4]

◆ subtractWithMultiply() [1/4]

◆ subtractWithMultiply() [2/4]

◆ subtractWithMultiply() [3/4]

◆ subtractWithMultiply() [4/4]