| DD_QD (MuPAT) |

DD_QD (MuPAT) >> DD_QD (MuPAT)

### DD_QD (MuPAT)

- Display — Display of DD and QD numbers
- Overloads — Available overloads for DD and QD real numbers
- concatenations — Horizontal and vertical concatenations of D, DD, QD arrays together
- size — sizes of a DD or QD array
- conversions
  - d2dd — type conversion from double to DD
  - d2qd — type conversion from double to QD
  - dd2qd — type conversion from DD to QD
  - dd2str — prints a DD number in a string
  - getHi — Get the highest part of dd,qd number
  - qd2dd — type conversion from QD to DD
  - qd2str — prints a QD number in a string
  - str2dd — parses a long input numeric string and converts it into a DD number
- DD: 16 bytes decimal arithmetics
  - dd — builds an array of DD numbers
  - exp — exponential
  - ddeye — Identity matrix
  - ddgqr — QR decomposition with modified Gram-Schmidt orthonormalization
  - ddip — inner product of DD vectors
  - lu — LU factorization of a square DD matrix
  - max — maximal value of an array of DD numbers
  - min — minimal value of an array of DD numbers
  - norm — Norm 1|2|p|inf|fro of a matrix of DD numbers
  - ddnrt — n-th root of a DD real number
  - ddones — generates a matrix made of DD ones
  - ddpow — n-th power of DD variable
  - qr — QR factorization of a DD matrix
  - ddrand — (Quasi) Pseudorandom DD number generator
  - ddzeros — generates a matrix made of DD zeros
- QD: 32 bytes decimal arithmetics
  - qd — builds an array of QD numbers
  - exp — exponential with 64 digits
  - qdeye — Identity matrix
  - qdgqr — QR decomposition with modified Gram-Schmidt orthonormalization
  - qdip — inner product of QD vectors
  - lu — LU factorization of a square QD matrix
  - max — maximal value of an array of QD numbers
  - min — minimal value of an array of QD numbers
  - norm — Norm 1|2|p|inf|fro of a matrix of QD numbers
  - qdones — QD matrix made of ones
  - qdpow — n-th power of a QD real number
  - qr — QR factorization of a QD matrix
  - qdrand — (Quasi) Pseudorandom QD number generator
  - qdzeros — QD matrix made of zeros
- (DLL mandatory)
  - ddGauss — Gaussian Elimination with pivoting for DD
  - ddinv — Inverse matrix of DD matrix
  - qdGauss — Gaussian Elimination with pivoting for QD
  - qdinv — Inverse matrix of QD matrix

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| DD_QD (MuPAT) |