Banfac Banslv Bint4 Bintk Bspldr Bsplev Bsplpp Bsplvd Bsplvn Bvalue Interv Ppvalu

Bspldr() Sub Bspldr ( T() As  Double, A() As  Double, N As  Long, K As  Long, Nderiv As  Long, Ad() As  Double, Info As  Long  ) Construct a divided difference table from B-representation for derivative calculation by Bsplev Purpose This routine uses the B-representation (T(), A(), N, K) to construct a divided difference table adif preparatory to a (right) derivative calculation in Bsplev. The lower triangular matrix adif is stored in vector Ad() by columns. The arrays are related by   adif(i, j) = Ad(i-j+1 + (2*n-j+2)*(j-1)/2 - 1), i = j to N, j = 1 to Nderiv Parameters [in] T() Array T(LT - 1) (LT >= N + K) Knot vector. [in] A() Array A(LA - 1) (LA >= N) B-spline coefficient array. [in] N Number of B-spline coefficients. (N = sum of knot multiplicities - K) [in] K Order of the B-spline. (K >= 1) [in] Nderiv Number of the derivatives. (1 <= Nderiv <= K) Nderiv = 1 returns the zero-th derivative = function value. [out] Ad() Array Ad(LAd - 1) (LAd >= (2*N - Nderiv + 1)*Nderiv/2) Divided difference table for input to Bsplev. [out] Info = 0: Successful exit. = -1: The argument T() is invalid. = -2: The argument A() is invalid. = -3: The argument N had an illegal value. (N < K) = -4: The argument K had an illegal value. (K < 1) = -5: The argument Nderiv had an illegal value. (Nderiv < 1 or Nderiv > K) = -6: The argument Ad() is invalid. Reference SLATEC Example Program See example of Bsplev.