Big floating point numbers

 

In Maple

For comparison with other CAS choose from: Axiom Derive Macsyma Mathematica Reduce

inputs outputs

    rn := - 1027/1410;

                                          1027
                                  rn := - ----
                                          1410

    cn := (167*I + 241)/5;

                             cn := 241/5 + 167/5 I

• computation with floating point numbers

      evalf( rn );
  

                                    -.7283687943

      evalf( cn );
  

                            48.20000000 + 33.40000000 I

      Pi;
  

                                         Pi

      evalf( Pi );
  

                                    3.141592654

      evalf( cos( Pi ) );
  

                                         -1.

  
      sin( 1. );
  

• computation with arbitrary number of digits

      evalf( rn, 20 );
  

                               -.72836879432624113475

  
      Digits := 50;
  

                                    Digits := 50

      evalf( Pi );
  

                3.1415926535897932384626433832795028841971693993751

• should be cos(pi/6) = sqrt(3)/2

      evalf( cos( Pi/ 6), 50);
  

           0.86602540378443864676372317075293618347140262690520

      "^2;
  

                                0.7500000000

      Digits := 10;
  

                                    Digits := 10

• underflow gives an error

      exp(-100000.1**2);
  

      Error, (in evalf/exp/general) argument too large

• complex functions

      tan(1.0 + I );
  

                            0.2717525853 + 1.083923327 I

      log( 1.0 + I );
  

                            0.3465735903 + .7853981634 I