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Unit Routines Description
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utypes SetErrCode Sets error code
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* DefaultVal Sets error code and default function value
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* MathErr Returns the error code
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* SetAutoInit Sets the auto-initialization of arrays
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* DimVector Allocates a real vector
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* DimIntVector Allocates an integer vector
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* DimCompVector Allocates a complex vector
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* DimBoolVector Allocates a boolean vector
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* DimStrVector Allocates a string vector
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* DimMatrix Allocates a real matrix
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* DimIntMatrix Allocates an integer matrix
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* DimCompMatrix Allocates a complex matrix
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* DimBoolMatrix Allocates a boolean matrix
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* DimStrMatrix Allocates a string matrix
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* DelVector Deallocates a real vector
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* DelIntVector Deallocates an integer vector
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* DelCompVector Deallocates a complex vector
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* DelBoolVector Deallocates a boolean vector
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* DelStrVector Deallocates a string vector
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* DelMatrix Deallocates a real matrix
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* DelIntMatrix Deallocates an integer matrix
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* DelCompMatrix Deallocates a complex matrix
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* DelBoolMatrix Deallocates a boolean matrix
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* DelStrMatrix Deallocates a string matrix
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uminmax FMin Minimum of 2 reals
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* FMax Maximum of 2 reals
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* IMin Minimum of 2 integers
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* IMax Maximum of 2 integers
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* Sgn Sign, Sgn(0) = 1
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* Sgn0 Sign, Sgn(0) = 0
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* DSgn DSgn(A, B) = Sgn(B) * |A|
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* FSwap Exchanges 2 reals
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* ISwap Exchanges 2 integers
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uround RoundN Rounds a number to N decimal places
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* Ceil Ceiling function
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* Floor Floor function
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umath Expo Exponential (with bound checking)
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* Exp2 Exponential, base 2
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* Exp10 Exponential, base 10
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* Log Natural log (with bound checking)
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* IntPower Power (integer exponent)
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* Power Power (real exponent)
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utrigo Pythag Sqrt(X^2 + Y^2)
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* FixAngle Set argument in -Pi..Pi
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* ArcTan2 Angle (Ox, OM) with M(X,Y)
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uhyper Sinh Hyperbolic sine
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* Cosh Hyperbolic cosine
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* Tanh Hyperbolic tangent
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* ArcSinh Inverse hyperbolic sine
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* ArcCosh Inverse hyperbolic cosine
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* ArcTanh Inverse hyperbolic tangent
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* SinhCosh Sinh and Cosh
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upolev PolEvl Polynomial evaluation (coeff. of x^n <> 1)
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* P1Evl Polynomial evaluation (coeff. of x^n = 1)
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ugamma Gamma Gamma function
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* LnGamma Logarithm of Gamma function
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* SgnGamma Sign of Gamma function
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* Stirling Stirling's formula for Gamma
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* StirLog Stirling's formula for LnGamma
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udigamma DiGamma DiGamma function
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* TriGamma TriGamma function
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uigamma IGamma Incomplete Gamma function
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* JGamma Complement of incomplete Gamma function
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* Erfc Complement of error function
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ubeta Beta Beta function
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uibeta IBeta Incomplete Beta function
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ulambert LambertW Lambert's W-function
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ubinom Binomial Binomial coefficient
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* PBinom Probability of binomial distribution
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upoidist PPoisson Probability of Poisson distribution
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uexpdist DExpo Density of exponential distribution
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* FExpo Cumulative prob. of exponential dist.
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unormal DNorm Density of standard normal distribution
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ugamdist DBeta Density of Beta distribution
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* DGamma Density of Gamma distribution
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* DKhi2 Density of Khi-2 distribution
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* DStudent Density of Student's distribution
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* DSnedecor Density of Fisher-Snedecor distribution
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uibtdist FBeta Cumulative prob. of Beta distribution
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* FBinom Cumulative prob. of Binomial distribution
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* FStudent Cumulative prob. of Student's distribution
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* PStudent Prob(|t| > X) for Student's distribution
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* FSnedecor Cumulative prob. of Fisher-Snedecor distribution
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* PSnedecor Prob(F > X) for Fisher-Snedecor distribution
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uigmdist FGamma Cumulative prob. of Gamma distribution
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* FPoisson Cumulative prob. of Poisson distribution
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* FNorm Cumulative prob. of standard normal distribution
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* PNorm Prob(|U| > X) for standard normal distribution
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* FKhi2 Cumulative prob. of Khi-2 distribution
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* PKhi2 Prob(Khi2 > X) for Khi-2 distribution
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uinvnorm InvNorm Inverse of normal distribution
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uinvgam InvGamma Inverse of incomplete Gamma function
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* InvKhi2 Inverse of khi-2 distribution
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uinvbeta InvBeta Inverse of incomplete Beta function
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* InvStudent Inverse of Student's t-distribution
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* InvSnedecor Inverse of Snedecor's F-distribution
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ucompvec CompVec Comparison of two vectors
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ugausjor GaussJordan Linear equation system (Gauss-Jordan method)
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ulineq LinEq Linear equation system (Gauss-Jordan method)
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ucholesk Cholesky Cholesky factorization
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ulu LU_Decomp LU decomposition
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* LU_Solve Solves a system of equations after LU decomposition
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uqr QR_Decomp QR decomposition
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* QR_Solve Solves a system of equations after QR decomposition
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usvd SV_Decomp Singular value decomposition
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* SV_Solve Solves a system of equations after SV decomposition
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* SV_SetZero Sets the lowest singular values to zero
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* SV_Approx Approximates a matrix from its SV decomposition
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ubalance Balance Balances a matrix and tries to isolate eigenvalues
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ubalbak BalBak Back transformation of eigenvectors
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uelmhes ElmHes Reduction of a square matrix to upper Hessenberg form
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ueltran Eltran Save transformations used by ElmHes
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uhqr Hqr Eigenvalues of a real upper Hessenberg matrix by the QR method
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uhqr2 Hqr2 Eigenvalues and eigenvectors of a real upper Hessenberg matrix
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ueigval EigenVals Eigenvalues of a general square matrix
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ueigvec EigenVect Eigenvalues and eigenvectors of a general square matrix
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ujacobi Jacobi Eigenvalues and eigenvectors of a symmetric matrix
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uminbrak MinBrack Brackets a minimum of a function
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ugoldsrc GoldSearch Minimization of a function of 1 variable (Golden Search method)
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ulinmin LinMin Minimization of a function of several variables along a line
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unewton Newton Minimization of a function of several var. (Newton's method)
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* SaveNewton Save Newton iterations in a file
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umarq Marquardt Minimization of a function of several var. (Marquardt's method)
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* SaveMarquardt Save Marquardt iterations in a file
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ubfgs BFGS Minimization of a function of several var. (BFGS method)
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* SaveBFGS Save BFGS iterations in a file
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usimplex Simplex Minimization of a function of several var. (simplex method)
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* SaveSimplex Save simplex iterations in a file
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ulinminq LinMinEq Minimization of a sum of squared functions along a line
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ubisect RootBrack Brackets solution of equation
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* Bisect Nonlinear equation (bisection method)
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unewteq NewtEq Nonlinear equation (Newton-Raphson method)
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usecant Secant Nonlinear equation (secant method)
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unewteqs NewtEqs Nonlinear equation system (Newton-Raphson method)
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ubroyden Broyden Nonlinear equation system (Broyden's method)
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upolynom Poly Evaluates a polynomial
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* RFrac Evaluates a rational fraction
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urtpol1 RootPol1 Root of linear equation
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urtpol2 RootPol2 Roots of quadratic equation
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urtpol3 RootPol3 Roots of cubic equation
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urtpol4 RootPol4 Roots of quartic equation
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urootpol RootPol Roots of polynomial from companion matrix
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upolutil SetRealRoots Set the imaginary part of a root to zero
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* SortRoots Sorts the roots of a polynomial
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utrapint TrapInt Integration by trapezoidal rule
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ugausleg GausLeg Gauss-Legendre integration
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* GausLeg0 Gauss-Legendre integration (lower bound=0)
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* Convol Convolution product
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urkf RKF45 Integration of a system of differential equations
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ufft FFT Fast Fourier Transform
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* IFFT Inverse Fast Fourier Transform
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* FFT_Integer Fast Fourier Transform for integer data
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* FFT_Integer_Cleanup Clear memory after a call to FFT_Integer
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* CalcFrequency Direct computation of Fourier Transform
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urandom SetRNG Select random number generator
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* InitGen Initialize random number generator
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* IRanGen 32-bit random integer in [-2^31 .. 2^31 - 1]
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* IRanGen31 31-bit random integer in [0 .. 2^31 - 1]
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* RanGen1 32-bit random real in [0,1]
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* RanGen2 32-bit random real in [0,1)
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* RanGen3 32-bit random real in (0,1)
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* RanGen53 53-bit random real in [0,1)
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uranmwc InitMWC Initialize Multiply-With-Carry generator
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* IRanMWC 32-bit random integer from MWC generator
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uranmt InitMT Initialize Mersenne Twister generator with a seed
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* InitMTbyArray Initialize MT generator with an array
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* IRanMT 32-bit random integer from MT generator
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uranuvag InitUVAG Initialize UVAG generator with a seed
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* InitUVAGbyString Initialize UVAG generator with a string
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* IRanUVAG 32-bit random integer from UVAG generator
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urangaus RanGaussStd Random number from standard normal distribution
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* RanGauss Random number from normal distribution
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uranmult RanMult Random vector from multinormal distrib. (correlated)
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* RanMultIndep Random vector from multinormal distrib. (uncorrelated)
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umcmc InitMHParams Initialize Metropolis-Hastings parameters
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* GetMHParams Returns Metropolis-Hastings parameters
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* Hastings Simulation of a p.d.f. by Metropolis-Hastings
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usimann InitSAParams Initialize Simulated Annealing parameters
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* SA_CreateLogFile Initialize log file for Simulated Annealing
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* SimAnn Minimization of a function of several var. by Simulated Annealing
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ugenalg InitGAParams Initialize Genetic Algorithm parameters
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* GA_CreateLogFile Initialize log file for Genetic Algorithm
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* GenAlg Minimization of a function of several var. by Genetic Algorithm
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umeansd Mean Sample mean
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* StDev Standard deviation estimated from sample
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* StDevP Standard deviation of population
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ucorrel Correl Correlation coefficient
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umedian Median Sample median
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uskew Skewness Sample skewness
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* Kurtosis Sample kurtosis
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uqsort QSort Quick sort (ascending order)
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* DQSort Quick sort (descending order)
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uinterv Interval Determines an interval for a set of values
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ustudind StudIndep Student t-test for independent samples
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ustdpair StudPaired Student t-test for paired samples
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uanova1 AnOVa1 One-way analysis of variance
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uanova2 AnOVa2 Two-way analysis of variance
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usnedeco Snedecor Comparison of two variances
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ubartlet Bartlett Comparison of several variances
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ukhi2 Khi2_Conform Khi-2 test for conformity
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* Khi2_Indep Khi-2 test for independence
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uwoolf Woolf_Conform Woolf's test for conformity
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* Woolf_Indep Woolf's test for independence
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unonpar Mann_Whitney Mann-Whitney test
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* Wilcoxon Wilcoxon test
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* Kruskal_Wallis Kruskal-Wallis test
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udistrib DimStatClassVector Allocates an array of statistical classes
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* DelStatClassVector Deallocates an array of statistical classes
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* Distrib Distributes an array into statistical classes
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ulinfit LinFit Linear regression
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* WLinFit Weighted linear regression
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upolfit PolFit Polynomial regression
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* WPolFit Weighted polynomial regression
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umulfit MulFit Multiple regression (Gauss-Jordan method)
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* WMulFit Weighted multiple regression (Gauss-Jordan method)
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usvdfit SVDFit Multiple regression (SVD method)
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* WSVDFit Weighted multiple regression (SVD method)
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unlfit SetOptAlgo Selects optimization algorithm for nonlinear regression
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* SetMaxParam Sets the maximal number of regression parameters
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* SetParamBounds Sets the bounds on a regression parameter
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* SetMCFile Set file for saving MCMC simulations
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* NLFit Nonlinear regression
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* WNLFit Weighted nonlinear regression
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* SimFit Simulation of unweighted nonlinear regression by MCMC
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* WSimFit Simulation of weighted nonlinear regression by MCMC
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uregtest RegTest Test of unweighted regression
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* WRegTest Test of weighted regression
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upca VecMean Computes mean vector }
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* VecSD Computes vector of standard deviations }
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* MatVarCov Computes variance-covariance matrix }
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* MatCorrel Computes correlation matrix }
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* PCA Principal component analysis of correlation matrix }
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* ScaleVar Scales a set of variables }
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* PrinFac Computes principal factors }
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ustrings LTrim Remove leading blanks
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* RTrim Remove trailing blanks
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* Trim Remove leading and trailing blanks
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* StrChar Generate string by repeating a character
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* RFill Complete string with trailing blanks
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* LFill Complete string with leading blanks
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* CFill Center string
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* Replace Replace a character
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* Extract Extract field from string
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* Parse Parse string into several fields
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* SetFormat Set numeric format
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* FloatStr Convert real number to string
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* IntStr Convert integer to string
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* CompStr Convert complex number to string
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uplot InitGraphics Initializes the graphic
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* SetWindow Sets the graphic window
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* AutoScale Automatic scale determination
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* SetOxScale Sets the scale on the Ox axis
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* SetOyScale Sets the scale on the Oy axis
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* SetGraphTitle Sets the graph title
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* SetOxTitle Sets the title for the Ox axis
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* SetOyTitle Sets the title for the Oy axis
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* SetTitleFont Sets the font for the main graph title
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* SetOxFont Sets the font for the Ox axis
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* SetOyFont Sets the font for the Oy axis
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* SetLgdFont Sets the font for the legends
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* PlotOxAxis Plots the Ox axis
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* PlotOyAxis Plots the Oy axis
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* WriteGraphTitle Writes title of graph
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* PlotGrid Plots a grid on the graph
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* SetClipping Limits the graphic to the current viewport
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* SetMaxCurv Sets maximum number of curves
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* SetPointParam Sets point parameters
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* SetLineParam Sets line parameters
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* SetCurvLegend Sets curve legend
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* SetCurvStep Sets curve step
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* PlotPoint Plots a point
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* PlotCurve Plots a curve
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* PlotCurveWithErrorBars Plots a curve with error bars
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* PlotFunc Plots a function
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* WriteLegend Writes the legends for the plotted curves
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* ConRec Contour plot
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* Xpixel Converts user abscissa X to screen coordinate
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* Ypixel Converts user ordinate Y to screen coordinate
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* Xuser Converts screen coordinate X to user abscissa
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* Yuser Converts screen coordinate Y to user ordinate
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* LeaveGraphics Quits the graphic mode
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fpmath/filelist.txt
