ProMath Routines and Functions

• PolyArea (N, X(), Y())
• TriangleArea (X1, Y1, X2, Y2, X3, Y3)

• BCDacos$ (c$, ld, rd, ErrorCode)
• BCDAdd (first1$, SECOND1$, result$, ld, rd, ErrorCode)
• BCDasin$ (s$, ld, rd, ErrorCode)
• BCDatan$ (x$, ld, rd, ErrorCode)
• BCDCalc$ (first1$, OPERATOR$, SECOND1$, ld, rd, ErrorCode)
• BCDComp (first1$, SECOND1$, comp)
• BCDcos$ (a$, ld, rd, ErrorCode)
• BCDDiv (first1$, SECOND1$, result$, ld, rd, ErrorCode)
• BCDexp$ (m$, ld, rd, ErrorCode)
• BCDfact$ (n, ld, rd, ErrorCode)
• BCDformat$ (s$, ErrorCode)
• BCDformat2$ (s$, ErrorCode)
• BCDLn$ (m$, ld, rd, ErrorCode)
• BCDMul (first1$, SECOND1$, result$, ld, rd, ErrorCode)
• BCDpower10$ (n)
• BCDRound$ (f1$, n)
• BCDsin$ (a$, ld, rd, ErrorCode)
• BCDSQR$ (X1$, ld, rd, ErrorCode)
• BCDSub (first1$, SECOND1$, result$, ld, rd, ErrorCode)
• BCDtan$ (a$, ld, rd, ErrorCode)
• BCDTrig (Angle$, SinX$, CosX$, ld, rd, ErrorCode)

• Bsi0 (X)
• Bsi1 (X)
• Bsin (N, X)
• Bsj0 (X)
• Bsj1 (X)
• Bsjn (N, X)
• Bsk0 (X)
• Bsk1 (X)
• Bskn (N, X)
• Bsy0 (X)
• Bsy1 (X)
• Bsyn (N, X)

• cacos (c1, c2)
• cacosec (c1, c2)
• cacosech (c1, c2)
• cacosh (c1, c2)
• cacot (c1, c2)
• cacoth (c1, c2)
• Cadd (C1, C2, Result)
• casec (c1, c2)
• casech (c1, c2)
• Casin (C1, C2)
• casinh (c1, c2)
• catan (c1, c2)
• catanh (c1, c2)
• Ccos (C1, C2)
• ccosec (c1, c2)
• ccosech (c1, c2)
• Ccosh (C1, C2)
• ccot (c1, c2)
• ccoth (c1, c2)
• Cdiv (C1, C2, C3)
• Cexp (C1, C2)
• Cformat (n, formatstr$, c)
• CHYPOT (C1, C2, C3)
• Clog (C1, C2)
• Cmplx (x, y, c)
• Cmul (C1, C2, C3)
• CMUL3 (C1, C2, C3, C4)
• Conjg (C1, C2)
• CSec (c1, c2)
• CSecH (c1, c2)
• Csin (C1, C2)
• Csinh (C1, C2)
• Csqrt (C1, C2)
• Csub (C1, C2, Result)
• Ctan (C1, C2)
• Ctanh (C1, C2)
• Equate (C1, C2)

• Derivs (X, Yz(), Dyz(), N)
• Derk (Ystart(), Nvariables, X1, X2, Eps, H1, Hmin, Hnext, Kmax)
• Rk4 (Y(), Dydx(), N, X, H, Yout())
• Rk5 (Y(), Dydx(), N, X, Htry, Eps, Yscal(), Hdid, Hnext)
• Rkde (Ystart(), Nvariables, X1, X2, Nstep)

• Diff1 (Y(), Dy(), N, H)
• Gausleg (X1, X2, X(), W(), N)
• Simpson (Y(), N, H, Result)

• Cbabk2 (Nm, N, Low, Igh, Scales(), M, Zr(), Zi())
• Cbal (Nm, N, Ar(), Ai(), Low, Igh, Scales())
• Ccdiv (Ar, Ai, Br, Bi, Cr, Ci)
• Comqr2 (Nm, N, Low, Igh, Ortr(), Orti(), Hr(), Hi(), Wr(), Wi(), Zr(), Zi(), Ierr)
• Corth (Nm, N, Low, Igh, Ar(), Ai(), Ortr(), Orti())
• Csroot (Xr, Xi, Yr, Yi)
• Eigen (Ar(), Ai(), Wr(), Wi(), Zr(), Zi(), N, Nm, Iflag, Ierr)

• BFFT (YAR(), NN, IFLAG)
• BFFT2 (YAR(), NX, NY, IFLAG)
• FFT (YAR(), NN)
• FFT2 (YAR(), NX, NY)
• FFTSHIFT (YAR(), NN)
• FFTSHIFT2 (Y(), NX, NY)
• IFFT (YAR(), NN)
• IFFT2 (YAR(), NX, NY)

• Aimag(C)
• Alog (x)
• Alog10 (x)
• Amax1 (X1, X2)
• Amin1 (X1, X2)
• ANINT (x)
• Atan (x)
• CABS (C)
• Dabs (x)
• Datan (x)
• Dcos (x)
• Dexp (x)
• Dimag(C)
• Dlog (x)
• Dlog10 (x)
• Dmax1 (X1, X2)
• Dmin1 (X1, X2)
• DNINT (x)
• Dreal (C)
• Dsin (x)
• Dsqrt (x)
• IABS (I)
• Log10 (x)
• Max0 (IX1, IX2)
• MAXMIN (YAR(), N, YMIN, YMAX)
• Min0 (IX1, IX2)
• Nint (x)
• Real (C)
• RFormat (N, formatstr$, C)
• Sign (X1, X2)
• Sqrt (x)

• Cheby (c, d, X(), W(), N, ErrorCode)
• GammLn (XX, ErrorCode)
• GAULEG (X1, X2, X(), W(), N, ErrorCode)
• Gegenbauer (alpha, c, d, X(), W(), N, ErrorCode)
• GegenbauerRec (X, GegJ, DGegJ, alpha, N)
• GetzeroG (Xmin, F, dF, X, alpha, N, I, ErrorCode)
• GetzeroJ (Xmin, F, dF, X, alpha, beta1, N, I, ErrorCode)
• GetzeroL (Xmin, F, dF, X, c, N, I, ErrorCode)
• HalfGauss (c, B, X(), W(), N, ErrorCode)
• Hermite (a, B, X(), W(), N, ErrorCode)
• HermiteRec (X, HJ, dHJ, NOrder)
• Inf1Int (alpha, a, X(), W(), N, ErrorCode)
• Jacobi (alph, bet, cc, d, X(), W(), N, ErrorCode)
• JacobiRec (X, JacobJ, DJacobJ, alpha, beta1, N)
• Laguerre (c, xmin0, B, X(), W(), N, ErrorCode)
• LaguerreLow (alpha, Xmin, B, X(), W(), N, ErrorCode)
• LaguerreLow2 (alpha, Xmin, B, X(), W(), N, ErrorCode)
• LaguerreRec (X, LcJ, dLcJ, c, NOrder)
• LegendreRec (X, pj, dPj, NOrder)
• LogHiInt (x0, c, d, X(), W(), N, ErrorCode)
• LogLowInt (x0, c, d, X(), W(), N, ErrorCode)
• LogQuadrature (C, d, M, X(), W(), N, ErrorCode)
• LowLimInt (beta1, c, d, X(), W(), N, ErrorCode)
• UppLimInt (beta1, c, d, X(), W(), N, ErrorCode)
• ZeroToInf (alpha0, alphainf, Xmid, X(), W(), N, ErrorCode)

• DotsGraph (FormName, X(), Y(), n, TypeOfPoints)
• LINGRAPH (FormName, X(), Y(), N, pattern)
• LOGGRAPH (FormName, typex$, typey$, X(), Y(), N, pattern)
• SETLINEAR (FormName, Xp0, Xp1, Yp0, Yp1, Title$, xtit$, ytit$)
• SETLOG (FormName, typex$, typey$, X0, X1, Y0, Y1, Title$, xtit$, ytit$)

• Interpolate (X(), Y(), N, Xint, Yout)
• Splinea (X(), Y(), N, Yp1, Ypn, Y2())
• Splineb (X(), Y(), N, Y2())
• Splinet (Xa(), Ya(), Y2a(), N, X, Y)

• Matlub (A(), N, Index(), B())
• Matlud (A(), N, Index(), D)
• Matsol (A(), B(), N)

• Cmatadd (A(), B(), R(), N, M)
• Cmatdcpy (A(), R(), N)
• CMatEleDiv (A(), B(), R(), N, M)
• Cmatprd (A(), B(), R(), N, M, L)
• CmatPrint (A(), N, M, Formt$, Dev$)
• CmatPrint1 (A(), N, Formt$, Dev$)
• CmatPrint2 (A(), N, M, Formt$, Dev$)
• Cmatsadd (A(), B, R(), N, M)
• Cmatsprd (A(), B, R(), N, M)
• Cmatsub (A(), B(), R(), N, M)
• Dotproduct (Y1(), Y2(), N, Result)
• Matadd (A(), B(), R(), N, M)
• Matdcpy (A(), R(), N)
• Matdet (A(), N, Det)
• Matinv (A(), y(), N)
• Matprd (A(), B(), R(), N, M, L)
• MatPrint (A(), N, M, Formt$, Dev$)
• MatPrint1 (A(), N, Formt$, Dev$)
• MatPrint2 (A(), N, M, Formt$, Dev$)
• Matsadd (A(), B, R(), N, M)
• Matsprd (A(), B, R(), N, M)
• Matsub (A(), B(), R(), N, M)

• anu2 (anu(), M, N)
• aNualphabeta (a, B, anu(), alpha(), bet(), M, N)
• Evaluate (X, F, dF, N, Coeff(), alpha(), bet(), Ideriv)
• FastSum (X, UL, N, Coeff(), alpha(), bet())
• GetZero (Xmin, F, dF, X, N, Coeff(), alpha(), bet(), I, ErrorCode)
• MakeAlphaBeta2 (alpha(), bet(), N)
• Mprov (ALUD(), a(), N, IPERM(), B(), X())
• MPROVEIT (Avan(), a(), N, d(), B(), X())
• Poly (Coeff(), X, F, dF, P(), dp(), N, Ideriv)
• PRecur (pp(), dp(), X, alpha(), bet(), N, Ideriv)
• Vandermonde (X(), W(), G(), C(), a(), B(), An(), d(), N, M)
• Zero (alpha(), bet(), Coeff(), X(), N, M, ErrorCode)

• Cubic (A, B, C, D, Cx1, Cx2, Cx3)
• Quadratic (A, B, C, Cx1, Cx2)

• Rneqs (Ntrial, X(), N, Tolx, Tolf)
• Roots (Root, X1, X2, Tol)
• Usrneqs (X(), A(), b(), N)
• Usroots (X)

• Airy (Xi)
• Airyd (Xi)
• BAiry (Xi)
• BAiryd (Xi)
• Beta (Z, W)
• Binom (N, K)
• CFresnel (X)
• Erf (X)
• Fac (N)
• gamma (xx)
• SFresnel (X)

• Absdev (Dat(), N, Avg)
• Average (Dat(), N)
• Binomial (N, K, P)
• Curtosis (Dat(), N, Avg, Var)
• Dnormal (X, Avg, Sig)
• Poisson (M, Avg)
• RegressionExp (X(), Y(), N, A, B, R)
• RegressionLin (X(), Y(), N, A, B, R)
• RegressionLog (X(), Y(), N, A, B, R)
• RegressionPower (X(), Y(), N, A, B, R)
• Skew (Dat(), N, Avg, Var)
• Standarddev (Dat(), N, Avg)
• Variance (Dat(), N, Avg)

• Acos (X)
• ACoSecH (X)
• Acosh (X)
• ACot (X)
• Acoth (X)
• Asech (X)
• Asin (X)
• Asinh (X)
• Atan2 (Y, X)
• Atanh (X)
• CoSecH (X)
• Cosh (X)
• Coth (X)
• Sech (X)
• Sinh (X)
• Tanh (X)

• UcentiFah (X)
• UcmInch (X)
• UdegRad (X)
• UfahCenti (X)
• UftM (X)
• UgalonLiter (X)
• UhpWatt (X)
• UkgLb (X)
• UkmMile (X)
• UlbKg (X)
• UliterGalon (X)
• UmFt (X)
• UmileKm (X)
• UozGm (X)
• UradDeg (X)
• UsqftAcre (X)
• UsqmFt (X)
• UsqmileKm (X)
• UtonLb (X)
• UyardM (X)

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ProMath Features