Big floating point numbers

 

In Mathematica

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

inputs outputs

    rn = - 1027/1410

      1027
    -(----)
      1410

    cn = (167*I + 241)/5

    241   167 I
    --- + -----
     5      5

• computation with floating point numbers with arbitrary number of digits

      N[ rn, 20 ]
  

      -0.72836879432624113475

  
      N[ cn, 10 ]
  

      48.2 + 33.4 I

      N[ Pi, 40 ]
  

      3.1415926535897932384626433832795028841972

  
      Cos[Pi]
  

      -1

  
      N[ Sin[1], 20 ]
  

      0.84147098480789650665

• should be cos(pi/6) = sqrt(3)/2

      N[ Cos[Pi/6], 50 ]
  

      0.86602540378443864676372317075293618347140262690519

  
      %^2
  

      0.75

• complex functions

      Tan[1.0 + 1.0I]
  

      0.271753 + 1.08392 I

  
      Log[N[1,30]+I]
  

      0.346573590279972654708616060729 +
       0.78539816339744830961566084582 I

  
      Precision[%]
  

      30

  
      N[ Log[N[1,40] + I], 60 ]
  

      0.3465735902799726547086160607290882840378 +
       0.7853981633974483096156608458198757210493 I

  
      Precision[%]
  

      40