Big floating point numbers

 

In Reduce

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

inputs outputs

    rn:= - 1027/1410;

            - 1027
    rn := ---------
              1410

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

           167*i + 241
    cn := -------------
                5

• computation with floating point numbers

      on rounded;
  
      rn;
  

       - 0.728368794326

      cn;
  

      33.4*i + 48.2

      pi;
  

      3.14159265359

      cos pi;
  

       - 1

  
      sin 1;
  

      0.841470984808

• computation with an arbitrary number of digits

      precision 50;
  

      12

      pi;
  

      3.1415926535897932384626433832795028841971693993751

      cos pi;
  

       - 1

• should be cos(pi/6) = sqrt(3)/2

      cos(pi/6);
  

      0.86602540378443864676372317075293618347140262690519

      ws**2;
  

      0.75

      precision 10;
  

      50

• by default, an underflow is converted to zero

      exp(-100000.1**2);
  

      0

• it is possible to get very small numbers

      on roundbf;
  
      exp(-100000.1**2);
  

      1.184683941e-4342953505

      off roundbf;
  
   

• complex functions

      on complex;
  

      *** Domain mode rounded changed to complex-rounded

      tan(1.0 + 1.0*i);
  

      0.2717525853 + 1.083923327*i

      log(1.0 + 1.0*i);
  

      0.3465735903 + 0.7853981634*i