Math387 Namespace

High performance math functions.

Introduces high performance math functions. It can serve as replacement for the default Delphi Math.pas unit and offers full support for complex numbers. However, in many applications, you can obtain better performance with vector arithmetics.

Adapted from TPMath1 of J. Debord with permission. Some complex routines adapted from gsCmplx by Serghei Gaivan with permission.

Topics

Name	Description
Classes	The following table lists classes in this documentation.
Functions	The following table lists functions in this documentation.
Structs, Records, Enums	The following table lists structs, records, enums in this documentation.
Types	The following table lists types in this documentation.
Variables	The following table lists variables in this documentation.
Constants	The following table lists constants in this documentation.

Classes

	Name	Description
	EMtxVecException	This is class Math387.EMtxVecException.
	EMtxVecInvalidArgument	Exception class indicates invalid arguments error.
	EMtxVecRangeError	Exception class indicates out of range error.
	TCplx	Default complex number type used by Math387.
	TFairSemaphoreSection	Critical section with semaphore capability.
	TFifoCriticalSection	Enables threads in a multithreaded application a single-thread only exclusive execution of a part of the code.
	TSCplx	Default complex number type used by Math387.
	TSimpleCriticalSection	Enables threads in a multithreaded application a single-thread only exclusive execution of a part of the code.

Constants

Name	Description
C_I	Imaginary value.
C_I_SINGLE	Imaginary value.
C_ONE	Complex one.
C_ONE_SINGLE	Complex one.
C_PI	PI.
C_PI_DIV_2	Pi/2
C_PI_DIV_2_SINGLE	Pi/2
C_PI_SINGLE	PI.
C_ZERO	Complex zero.
C_ZERO_SINGLE	Complex zero.
CGOLD	2 - GOLD.
CGOLD_SINGLE	2 - GOLD.
DefaultIsDouble	This is constant Math387.DefaultIsDouble.
EPS	Epsilon.
EPS_SINGLE	This is constant Math387.EPS_SINGLE.
EULERGAMMA	Euler constant.
EULERGAMMA_SINGLE	Euler constant.
Fortran8087CW	FPU control word used by Fortran.
GOLD	Golden Mean.
GOLD_SINGLE	Golden Mean.
INVLN10	1/Ln(10).
INVLN10_SINGLE	1/Ln(10).
INVLN2	1/Ln(2).
INVLN2_SINGLE	1/Ln(2).
INVPI180	180/PI.
INVPI180_SINGLE	180/PI.
INVSQRT2PI	1/Sqrt(2PI).
INVSQRT2PI_SINGLE	1/Sqrt(2PI).
INVTWOPI	1/2PI.
INVTWOPI_SINGLE	1/2PI.
LN10	Ln(10).
LN10_SINGLE	Ln(10).
LN2	Ln(2).
LN2_SINGLE	Ln(2).
LN2PIDIV2	Ln(2*PI)/2.
LN2PIDIV2_SINGLE	Ln(2*PI)/2.
LNPI	Ln(PI).
LNPI_SINGLE	Ln(PI).
LNSQRT2PI	Ln(Sqrt(2*PI)).
LNSQRT2PI_SINGLE	Ln(Sqrt(2*PI)).
MACHEP	Machine constant.
MACHEP_SINGLE	2^(-23)
MAXFAC	Maximum factorial.
MAXFAC_SINGLE	This is constant Math387.MAXFAC_SINGLE.
MAXGAM	Maximum value of the gamma function.
MAXGAM_SINGLE	This is constant Math387.MAXGAM_SINGLE.
MAXLGM	Maximum allowed value for the logarithm of the gamma function.
MAXLGM_SINGLE	This is constant Math387.MAXLGM_SINGLE.
MAXLOG	Largest result of a base 10 logarithm.
MAXLOG_SINGLE	This is constant Math387.MAXLOG_SINGLE.
MAXNUM	Maximum floating point number.
MAXNUM_SINGLE	2^128
MINLOG	Smallest result of a base 10 logarithm.
MINLOG_SINGLE	This is constant Math387.MINLOG_SINGLE.
MINNUM	Minimum floating point number.
MINNUM_SINGLE	2^(-126)
MtxSystemEndianness	Storage default endianness.
MtxVec8087CW	FPU control word turning off all exceptions.
MtxVecCoreMsg	This is constant Math387.MtxVecCoreMsg.
MtxVecEOA	This is constant Math387.MtxVecEOA.
MtxVecVersion	MtxVec version.
PI	PI.
PI_SINGLE	PI.
PI180	PI/180.
PI180_SINGLE	PI/180.
PIDIV2	PI/2.
PIDIV2_SINGLE	PI/2.
SQRT2	Sqrt(2).
SQRT2_SINGLE	Sqrt(2).
SQRT2DIV2	Sqrt(2)/2.
SQRT2DIV2_SINGLE	Sqrt(2)/2.
SQRT2PI	Sqrt(2PI)
SQRT2PI_SINGLE	Sqrt(2PI)
SQRTEPS	Sqrt(EPS).
SQRTEPS_SINGLE	This is constant Math387.SQRTEPS_SINGLE.
SQRTPI	Sqrt(PI).
SQRTPI_SINGLE	Sqrt(PI).
TWOPI	2*PI.
TWOPI_SINGLE	2*PI.

Functions

	Name	Description
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	aGetLength	This is function Math387.aGetLength.
	ArcCos	Inverse cosine of X.
	ArcCos	This is function Math387.ArcCos.
	ArcCos	Inverse cosine.
	ArcCosf	This is function Math387.ArcCosf.
	ArcCosh	Inverse hyperbolic cosine.
	ArcCosh	This is function Math387.ArcCosh.
	ArcCosh	Inverse hyperbolic cosine.
	ArcCoshf	This is function Math387.ArcCoshf.
	ArcCot	Inverse cotangent.
	ArcCot	This is function Math387.ArcCot.
	ArcCot	Inverse cotangent.
	ArcCotf	This is function Math387.ArcCotf.
	ArcCoth	Inverse hyperbolic cotangent.
	ArcCoth	This is function Math387.ArcCoth.
	ArcCoth	Inverse hyperbolic cotangent.
	ArcCothf	This is function Math387.ArcCothf.
	ArcCsc	Inverse cosecant.
	ArcCsc	This is function Math387.ArcCsc.
	ArcCsc	Inverse cosecant.
	ArcCscf	This is function Math387.ArcCscf.
	ArcCsch	Inverse hyperbolic cosecant.
	ArcCsch	This is function Math387.ArcCsch.
	ArcCsch	Inverse hyperbolic cosecant.
	ArcCschf	This is function Math387.ArcCschf.
	ArcSec	Inverse secant.
	ArcSec	This is function Math387.ArcSec.
	ArcSec	Inverse secant.
	ArcSecf	This is function Math387.ArcSecf.
	ArcSech	Inverse hyperbolic secant.
	ArcSech	This is function Math387.ArcSech.
	ArcSech	Inverse hyperbolic secant.
	ArcSechf	This is function Math387.ArcSechf.
	ArcSin	Inverse sine.
	ArcSin	This is function Math387.ArcSin.
	ArcSin	Inverse sine.
	ArcSinf	This is function Math387.ArcSinf.
	ArcSinh	Inverse hyperbolic sine.
	ArcSinh	This is function Math387.ArcSinh.
	ArcSinh	Inverse hyperbolic sine.
	ArcSinhf	This is function Math387.ArcSinhf.
	ArcTan	Inverse tangens of X.
	ArcTan	This is function Math387.ArcTan.
	ArcTan2	Inverse tangens of Y/X.
	ArcTan2f	This is function Math387.ArcTan2f.
	ArcTanf	Inverse tangens.
	ArcTanh	Inverse hyperbolic tangens.
	ArcTanh	This is function Math387.ArcTanh.
	ArcTanh	Inverse hyperbolic tangens.
	ArcTanhf	This is function Math387.ArcTanhf.
	Arg	The argument of Z.
	Arg	This is function Math387.Arg.
	aSetLength	unicode required
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	procedure aSetLength(var A: TCplxSampleArray;const Len: NativeInt); overload;
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	aSetLength	This is function Math387.aSetLength.
	BesselI0	Modified bessel function of the first kind.
	BesselI0	This is function Math387.BesselI0.
	BesselJ0	Bessel function of the first kind.
	BesselJ0	This is function Math387.BesselJ0.
	Bigger	Compares two complex numbers.
	Bigger	Compare one real and one complex number.
	Bigger	This is function Math387.Bigger.
	Bigger	This is function Math387.Bigger.
	Bigger	Compare one real and one complex number.
	Bigger	Compare two real numbers.
	Bigger	This is function Math387.Bigger.
	Biggerf	This is function Math387.Biggerf.
	BiggerOrEqual	Compare two complex numbers.
	BiggerOrEqual	Compare one real and one complex number.
	BiggerOrEqual	This is function Math387.BiggerOrEqual.
	BiggerOrEqual	This is function Math387.BiggerOrEqual.
	BiggerOrEqual	Compare one real and one complex number.
	BiggerOrEqual	This is function Math387.BiggerOrEqual.
	CAbs	The norm of z.
	CAbs	This is function Math387.CAbs.
	CAbs1	Returns the approximation of the norm of Z.
	CAbs1	This is function Math387.CAbs1.
	CAdd	Complex addition.
	CAdd	Add two numbers.
	CAdd	This is function Math387.CAdd.
	CAdd	This is function Math387.CAdd.
	CAdd	Add two numbers.
	CAdd	This is function Math387.CAdd.
	CAddI	Add imaginary value BI to complex number A.
	CAddI	This is function Math387.CAddI.
	CAddI	Add imaginary value AI to complex number B.
	CAddI	This is function Math387.CAddI.
	CartToPolar	Cartesian to polar coordinate transformation.
	CartToPolar	This is function Math387.CartToPolar.
	CDiv	Complex division.
	CDiv	Divide two numbers.
	CDiv	This is function Math387.CDiv.
	CDiv	This is function Math387.CDiv.
	CDiv	Divide two numbers.
	CDiv	This is function Math387.CDiv.
	Ceil	Round towards positive infinity.
	Ceil	This is function Math387.Ceil.
	Ceil	Round towards positive infinity.
	Ceilf	This is function Math387.Ceilf.
	CFrac	Complex frac function.
	CFrac	This is function Math387.CFrac.
	CheckRange	Check the value.
	CheckRange	This is function Math387.CheckRange.
	CheckRange	Check the value.
	CheckRange	Check the value.
	CheckRangef	This is function Math387.CheckRangef.
	CInv	The 1/Z.
	CInv	The 1/Z.
	CInv	This is function Math387.CInv.
	CInv	This is function Math387.CInv.
	ClearFPU	clear pending FPU exceptions
	CMul	Complex multipliction.
	CMul	Multiply two numbers.
	CMul	This is function Math387.CMul.
	CMul	This is function Math387.CMul.
	CMul	Multiply two numbers.
	CMul	This is function Math387.CMul.
	CMulI	Multiply two complex numbers.
	CMulI	This is function Math387.CMulI.
	CMulI	Multiply complex number B with imaginary number Ai.
	CMulI	This is function Math387.CMulI.
	Conj	Conjugate complex number.
	Conj	This is function Math387.Conj.
	Cos	Cosine.
	Cos	Cosine.
	Cos	This is function Math387.Cos.
	Cos	This is function Math387.Cos.
	Cosf	Cosine function.
	Cosh	Hyperbolic cosine.
	Cosh	Hyperbolic cosine.
	Cosh	This is function Math387.Cosh.
	Cosh	This is function Math387.Cosh.
	Cosh	Hyperbolic cosine.
	Coshf	This is function Math387.Coshf.
	Cot	Cotangent.
	Cot	This is function Math387.Cot.
	Cot	Cotangent.
	Cotf	This is function Math387.Cotf.
	Coth	Hyperbolic cotangent.
	Coth	This is function Math387.Coth.
	Coth	Hyperbolic cotangent.
	Cothf	This is function Math387.Cothf.
	Cplx	Converts two real numbers to complex number.
	Cplx	This is function Math387.Cplx.
	CplxDouble	This is function Math387.CplxDouble.
	CplxSingle	This is function Math387.CplxSingle.
	CplxToStr	Converts complex number to a string.
	CplxToStr	This is function Math387.CplxToStr.
	CRound	Complex round function.
	CRound	This is function Math387.CRound.
	Csc	Cosecant.
	Csc	This is function Math387.Csc.
	Csc	Cosecant.
	Cscf	This is function Math387.Cscf.
	Csch	Hyperbolic cosecant.
	Csch	This is function Math387.Csch.
	Csch	Hyperbolic cosecant.
	Cschf	This is function Math387.Cschf.
	CSqr	The square of complex number.
	CSqr	This is function Math387.CSqr.
	CSqrt	Square root of a complex number.
	CSqrt	This is function Math387.CSqrt.
	CSub	Complex subtraction.
	CSub	Subtract two numbers.
	CSub	Subtract two numbers.
	CSub	This is function Math387.CSub.
	CSub	This is function Math387.CSub.
	CSub	This is function Math387.CSub.
	CSub	Subtract two numbers.
	CSub	Subtract two numbers.
	CSub	This is function Math387.CSub.
	CSub	This is function Math387.CSub.
	CSubI	Subtract imaginary value BI from complex number A.
	CSubI	This is function Math387.CSubI.
	CSubI	Subtract complex number B from imaginary number AI.
	CSubI	This is function Math387.CSubI.
	CTrunc	Complex truncate function.
	CTrunc	This is function Math387.CTrunc.
	DegToRad	Returns the value of a degree measurement expressed in radians.
	DegToRadf	This is function Math387.DegToRadf.
	EInvalidArgumentRaise	Raises EMtxVecInvalidArgument exception.
	EInvalidArgumentRaiseFmt	This is function Math387.EInvalidArgumentRaiseFmt.
	EnsureRange	This is function Math387.EnsureRange.
	EnsureRange	Limits the value.
	EnsureRange	Limits the value.
	EnsureRangef	This is function Math387.EnsureRangef.
	Equal	Compares two numbers.
	Equal	Compares two numbers.
	Equal	Compares two numbers.
	Equal	This is function Math387.Equal.
	Equal	This is function Math387.Equal.
	Equal	This is function Math387.Equal.
	Equal	Compares two numbers.
	Equal	Compares two numbers.
	Equal	Compares two numbers.
	Equal	This is function Math387.Equal.
	Equalf	This is function Math387.Equalf.
	Equalf	This is function Math387.Equalf.
	ERaise	Raises EMtxVecException exception.
	ERaiseFmt	This is function Math387.ERaiseFmt.
	ERangeErrorRaise	Raises EMtxVecRangeError exception.
	ERangeErrorRaiseFmt	This is function Math387.ERangeErrorRaiseFmt.
	Erf	Error function.
	Erfc	Complement to the error function Erf.
	ErfInv	Inverse error function.
	Exp	e^x function.
	Exp	This is function Math387.Exp.
	Exp10	10^x function.
	Exp10	This is function Math387.Exp10.
	Exp10	10^x function.
	Exp10f	This is function Math387.Exp10f.
	Exp2	2^x function.
	Exp2	This is function Math387.Exp2.
	Exp2	2^x function.
	Exp2f	This is function Math387.Exp2f.
	Exp2Int	2^x function.
	Exp2Int64	2^x function.
	Expf	e^x function.
	Expj	Euler formula for complex number.
	Expjf	This is function Math387.Expjf.
	ExtractCplx	Gets a complex number, extracted from string source.
	ExtractCplxSingle	This is function Math387.ExtractCplxSingle.
	ExtractInteger	Gets integer number, extracted from string source.
	ExtractSample	Gets double number, extracted from string source.
	Fact	Factorial
	FixAngle	Sets angle in [-2Pi,2Pi].
	FixAnglef	This is function Math387.FixAnglef.
	Flip	Swaps real and imaginary part.
	Flip	This is function Math387.Flip.
	FlipConj	Swaps real and imaginary part and conjugates the result.
	FlipConj	Swaps real and imaginary part and conjugates the result.
	FlipConj	This is function Math387.FlipConj.
	FlipConj	This is function Math387.FlipConj.
	Floor	Round towards negative infinity.
	Floor	This is function Math387.Floor.
	Floor	Round towards negative infinity.
	Floorf	This is function Math387.Floorf.
	FormatCplx	The complex number Z formated as a string.
	FormatCplx	This is function Math387.FormatCplx.
	FormatSample	The double number X formated as string.
	FormatSample	The double number X formatted as string.
	FormatSamplef	This is function Math387.FormatSamplef.
	FormatSamplef	This is function Math387.FormatSamplef.
	Gamma	Gamma function (complex).
	Gamma	Gamma function (real).
	GammaFrac	Incomplete Gamma function : continued fraction expansion.
	GammaFrac	Incomplete Gamma function : continued fraction expansion.
	GammaSer	Incomplete Gamma function : series expansion.
	GammaSer	Incomplete Gamma function: series expansion.
	Gcd	Greatest common divisor.
	GetDecimalSeparator	This is function Math387.GetDecimalSeparator.
	GetThousandSeparator	This is function Math387.GetThousandSeparator.
	IGamma	Incomplete gamma function.
	IGamma	Incomplete gamma function.
	Imag	Imaginary part of complex number.
	Imag	This is function Math387.Imag.
	IntGetCurrentThreadID	This is function Math387.IntGetCurrentThreadID.
	IntInterlockedDecrement	This is function Math387.IntInterlockedDecrement.
	IntInterlockedExchange	This is function Math387.IntInterlockedExchange.
	IntInterlockedIncrement	This is function Math387.IntInterlockedIncrement.
	IntPower	Power function (integer power).
	IntPower	This is function Math387.IntPower.
	IntPower	Power function (integer power).
	IntPowerf	This is function Math387.IntPowerf.
	IntPrecisionToStr	Returns the description of the Src.
	IsInf	Checks if number is INF.
	IsInf	This is function Math387.IsInf.
	IsInf	Checks if number is INF.
	IsInff	This is function Math387.IsInff.
	IsInfNan	Checks if number is INF 0r NAN.
	IsInfNan	This is function Math387.IsInfNan.
	IsInfNan	Checks if number is INF or NAN.
	IsInfNanf	This is function Math387.IsInfNanf.
	IsNaN	Checks if number is NAN.
	IsNaN	This is function Math387.IsNaN.
	IsNaN	Checks if number is NAN.
	IsNanf	This is function Math387.IsNanf.
	IsNanInf	Checks if number is INF or NAN.
	IsNanInf	This is function Math387.IsNanInf.
	IsNanInf	Checks if number is INF or NAN.
	IsNanInff	This is function Math387.IsNanInff.
	JGamma	Complement to the incomplete gamma function.
	JGamma	Complement to the incomplete gamma function.
	LargestExp2	Returns first number being power of two that is equal or greater than n.
	LargestLog2	Power of two which gives the first number that is equal or greater than n.
	Lcm	Smallest common multiplier.
	LimitRange	Limit the range X.
	LimitRange	Limit the range X.
	LimitRangef	This is function Math387.LimitRangef.
	Ln	Natural logarithm.
	Ln	This is function Math387.Ln.
	Lnf	e^x function.
	LnGamma	Natural logarithm of the gamma function.
	LnGamma	Natural logarithm of the gamma function.
	Log10	Log base 10.
	Log10	This is function Math387.Log10.
	Log10	Log base 10.
	Log10f	This is function Math387.Log10f.
	Log2	Log base 2.
	Log2	This is function Math387.Log2.
	Log2	Log base 2.
	Log2f	This is function Math387.Log2f.
	Log2Int	This is function Math387.Log2Int.
	Log2Int64	Log base 2.
	LogN	Log base N.
	LogN	Log base N.
	LogN	This is function Math387.LogN.
	LogN	This is function Math387.LogN.
	LogN	Log base N.
	LogN	Log base N.
	LogN	This is function Math387.LogN.
	LogNf	This is function Math387.LogNf.
	Max	Maximum of two 64bit integer numbers X and Y.
	Max	Maximum of two integer numbers X and Y.
	Max	Maximum of two numbers.
	Max	This is function Math387.Max.
	Max	Maximum of two real numbers X and Y.
	Maxf	This is function Math387.Maxf.
	Min	Minimum of two 64bit integer numbers X and Y.
	Min	Minimum of two integer numbers X and Y.
	Min	Minimum of two numbers.
	Min	This is function Math387.Min.
	Min	Minimum of two real numbers X and Y.
	Minf	This is function Math387.Minf.
	MulI	Multiplies complex number with I.
	MulI	Multiplies complex number with I.
	MulI	This is function Math387.MulI.
	MulI	This is function Math387.MulI.
	Neg	Changes the sign of Z.
	Neg	This is function Math387.Neg.
	Norm	The \|\|Z\|\|^2.
	Norm	This is function Math387.Norm.
	PolarToCart	Polar to cartesian coordinate transformation.
	PolarToCart	This is function Math387.PolarToCart.
	Power	Power function.
	Power	Power function.
	Power	This is function Math387.Power.
	Power	This is function Math387.Power.
	Power	Power function.
	Power	Power function.
	Power	This is function Math387.Power.
	Powerf	This is function Math387.Powerf.
	Pythag	Complex version of Pythagora formula.
	Pythag	This is function Math387.Pythag.
	Pythag	The Pythagora formula.
	Pythagf	This is function Math387.Pythagf.
	RadToDeg	Converts radians to degrees.
	RadToDegf	This is function Math387.RadToDegf.
	Real	Real part of complex number.
	Real	This is function Math387.Real.
	Rem	Reminder after division.
	Rem	This is function Math387.Rem.
	Rem	The reminder after division.
	Remf	This is function Math387.Remf.
	Root	The root of complex number.
	Root	This is function Math387.Root.
	SampleToStr	This is function Math387.SampleToStr.
	SampleToStr	Converts TSample value to a string.
	SampleToStrf	This is function Math387.SampleToStrf.
	SampleToStrf	This is function Math387.SampleToStrf.
	Sec	Secant.
	Sec	This is function Math387.Sec.
	Sec	Secant.
	Secf	This is function Math387.Secf.
	Sech	Hyperbolic secant.
	Sech	This is function Math387.Sech.
	Sech	Hyperbolic secant.
	Sechf	This is function Math387.Sechf.
	SetContains	This is function Math387.SetContains.
	SetContains	This is function Math387.SetContains.
	SetExclude	This is function Math387.SetExclude.
	SetExclude	This is function Math387.SetExclude.
	SetInclude	This is function Math387.SetInclude.
	SetInclude	This is function Math387.SetInclude.
	Sgn	Signum.
	Sgn	This is function Math387.Sgn.
	Sgn	Signum.
	Sgn	This is function Math387.Sgn.
	Sgnf	This is function Math387.Sgnf.
	Sign	Changes the sign of a complex number.
	Sign	This is function Math387.Sign.
	Sign	Fortran sign function.
	Signf	This is function Math387.Signf.
	Sin	Sine.
	Sin	Sine.
	Sin	This is function Math387.Sin.
	Sin	This is function Math387.Sin.
	SinCos	Sine and cosine in single pass.
	SinCosf	This is function Math387.SinCosf.
	Sinf	Sine function.
	Sinh	Hyperbolic sine.
	Sinh	Hyperbolic sine.
	Sinh	This is function Math387.Sinh.
	Sinh	This is function Math387.Sinh.
	Sinh	Hyperbolic sine.
	SinhCosh	The hyperbolic sine and cosine.
	SinhCoshf	This is function Math387.SinhCoshf.
	Sinhf	This is function Math387.Sinhf.
	Smaller	Compares two complex numbers.
	Smaller	Compare one real and one complex number.
	Smaller	This is function Math387.Smaller.
	Smaller	This is function Math387.Smaller.
	Smaller	Compare one real and one complex number.
	Smaller	Compare two real numbers.
	Smaller	This is function Math387.Smaller.
	Smallerf	This is function Math387.Smallerf.
	SmallerOrEqual	Compare two complex numbers.
	SmallerOrEqual	Compare one real and one complex number.
	SmallerOrEqual	This is function Math387.SmallerOrEqual.
	SmallerOrEqual	This is function Math387.SmallerOrEqual.
	SmallerOrEqual	Compare one real and one complex number.
	SmallerOrEqual	This is function Math387.SmallerOrEqual.
	SmallestExp2	Closest power of 2 to n.
	SqrAbs	This is function Math387.SqrAbs.
	SqrAbs	This is function Math387.SqrAbs.
	Sqrtf	Square root.
	StartTimer	Starts the microsecond timer.
	StartTimer	Starts the timer with microsecond resolution.
	StopTimer	Stops the timer with microsecond resolution.
	StopTimer	Stops the microsecond timer.
	StrToCplx	Converts a string to complex number.
	StrToCplxSingle	This is function Math387.StrToCplxSingle.
	StrToDouble	Converts string to a double value.
	StrToSample	Converts string to a double value.
	StrToSingle	Converts string to a single value.
	StrToVal	Converts string to a value.
	Swap	IFDEF D9_W32_INLINE} inline; {$ENDIF
	Swap	Exchange two numbers.
	Swap	This is function Math387.Swap.
	Swap	This is function Math387.Swap.
	Swap	Exchange two numbers.
	Swapf	Exchange two numbers.
	Tan	Tangens.
	Tan	This is function Math387.Tan.
	Tan	Tangens.
	Tanf	This is function Math387.Tanf.
	Tanh	Hyperbolic cosine.
	Tanh	This is function Math387.Tanh.
	Tanh	Hyperbolic cosine.
	Tanhf	This is function Math387.Tanhf.
	TanhX	Hyperbolic tangens.
	TanhXf	This is function Math387.TanhXf.
	ToDouble	This is function Math387.ToDouble.
	ToSingle	This is function Math387.ToSingle.
	TruncAndFrac	This is function Math387.TruncAndFrac.
	TruncAndFracf	Splits the floating point number to integer and fractional parts.

Structs, Records, Enums

	Name	Description
	TCompare	Comparison type for the Equal function.
	TCRWaitMode	The waiting method used by the sorted critical section.
	TDCplx	Complex number type for double real and complex part.
	TEndianness	Storage Endianness.
	TFFTStorageFormat	Type used to define the storage format for FFT operations.
	TFixedTextAlign	Specifies alignment for fixed width font number to string conversion.
	TICplx	Complex number type for integer real and complex part.
	TIndexType	Type used to define indexation type.
	TIntegerCplx	Complex number type for integer real and complex part.
	TIntPrecision	Default storage precision for integer vector and matrix values.
	TMtxFloatPrecision	Specifies MtxVec processing precision.
	TPrecision	Storage precision.
	TRounding	Rounding algorithm.
	TSmallIntCplx	Complex number type for integer real and complex part.

Types

Name	Description
LongInteger	This is type Math387.LongInteger.
PAPAnsiChar	Pointer to char.
PAPChar	Pointer to char.
PAPointer	Generic pointer type.
PByte	A pointer to Byte type.
PCplx	A pointer to TCplx type.
PInteger	A pointer to integer type.
PLongInteger	This is type Math387.PLongInteger.
PointerInteger	This is type Math387.PointerInteger.
PPByte	Pointer to byte
PPBytec	Pointer to complex byte.
PPCardinal	Pointer to 4 byte unsigned integer.
PPCardinalc	Pointer to complex unsigned integer.
PPCplx	Pointer to complex 8 byte floating point type.
PPDouble	Pointer to 8 byte floating point.
PPInt64	Pointer to signed 8 byte integer.
PPInt64c	Pointer to complex long (8 byte) integer.
PPInteger	Pointer to 4 byte signed integer.
PPIntegerc	Pointer to complex signed (4 byte) integer.
PPLongInteger	This is type Math387.PPLongInteger.
PPointerInteger	This is type Math387.PPointerInteger.
PPPointerInteger	This is type Math387.PPPointerInteger.
PPSample	Pointer to TSample.
PPShortInt	Pointer to 1 byte signed integer.
PPShortIntc	Pointer to complex signed short (1 byte) integer.
PPSingle	Pointer to 4 byte floating point.
PPSmallInt	Pointer to 2 byte signed integer.
PPSmallIntc	Pointer to complex signed small (2 byte) integer.
PPUChar	Pointer to byte.
PPWord	Pointer to 2 byte unsigned integer (word).
PPWordc	Pointer to complex word.
PSample	A pointer to TSample type.
PSmallInt	A pointer to TISample type.
PWord	A pointer to Word type.
StringArray	Array of string.
T2DByteArray	Array of SmallInt type.
T2DCplxArray	Two dimensional array of TCplx type.
T2DCplxDoubleArray	This is type Math387.T2DCplxDoubleArray.
T2DCplxSingleArray	This is type Math387.T2DCplxSingleArray.
T2DDoubleArray	This is type Math387.T2DDoubleArray.
T2DIntegerArray	Array of Integer type.
T2DSCplxArray	Two dimensional array of TSCplx type.
T2DSingleArray	Two dimensional array of TSample type.
T2DSmallIntArray	Array of SmallInt type.
T2DStringArray	This is type Math387.T2DStringArray.
Tcgemm_jit_kernel_t	This is type Math387.Tcgemm_jit_kernel_t.
Tcgemm_jit_kernel_tp	This is type Math387.Tcgemm_jit_kernel_tp.
TCplxArray	Array of TCplx type.
TCplxDouble	This is type Math387.TCplxDouble.
TCplxDoubleArray	This is type Math387.TCplxDoubleArray.
TCplxSingle	TCplxSampleArray = TCplxArray;
TCplxSingleArray	This is type Math387.TCplxSingleArray.
Tdgemm_jit_kernel_t	This is type Math387.Tdgemm_jit_kernel_t.
Tdgemm_jit_kernel_tp	This is type Math387.Tdgemm_jit_kernel_tp.
Tgemm_jit_kernel_tp	This is type Math387.Tgemm_jit_kernel_tp.
TIntArray	Array of Integer type.
TISample	must exist next to TSample
TMKLTRFunction	This is type Math387.TMKLTRFunction.
TMtxNotifyEvent	Base notify event.
TMtxPoint	This is type Math387.TMtxPoint.
TMtxRect	This is type Math387.TMtxRect.
TPointerArray	This is type Math387.TPointerArray.
TSample	Default real number type used in Math387.
TSampleArray	Array of TSample type.
TSelectOneFunctionC	Function type with two parameters.
TSelectOneFunctionSingleC	Function type with two parameters.
TSelectThreeFunction	Function type with two parameters.
TSelectThreeFunctionSingle	Function type with two parameters.
TSelectTwoFunction	Function type with two parameters.
TSelectTwoFunctionC	Function type with two parameters.
TSelectTwoFunctionSingle	Function type with two parameters.
TSelectTwoFunctionSingleC	Function type with two parameters.
Tsgemm_jit_kernel_t	This is type Math387.Tsgemm_jit_kernel_t.
Tsgemm_jit_kernel_tp	This is type Math387.Tsgemm_jit_kernel_tp.
TSmallInTCplxSampleArray	This is type Math387.TSmallInTCplxSampleArray.
Tzgemm_jit_kernel_t	This is type Math387.Tzgemm_jit_kernel_t.
Tzgemm_jit_kernel_tp	This is type Math387.Tzgemm_jit_kernel_tp.

Variables

Name	Description
CINF	Complex version of INF.
CINF_SINGLE	This is variable Math387.CINF_SINGLE.
CNAN	Complex version of NAN.
CNAN_SINGLE	This is variable Math387.CNAN_SINGLE.
DebugValueCount	This is variable Math387.DebugValueCount.
GradStepSize	Gradient step size used by Richarson numeric gradient algorithm.
GradStepSizeDefault	This is variable Math387.GradStepSizeDefault.
GradStepSizeSingle	This is variable Math387.GradStepSizeSingle.
GradStepSizeSingleDefault	This is variable Math387.GradStepSizeSingleDefault.
INF	Positive Infinity.
INF_SINGLE	This is variable Math387.INF_SINGLE.
MtxVecBlockSize	Defines the block size.
MtxVecMemoryAlignment	This is variable Math387.MtxVecMemoryAlignment.
MtxVecPrimeArray	Holds an array of 1000 prime numbers.
NAN	Not a number.
NAN_SINGLE	This is variable Math387.NAN_SINGLE.

Links

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