Help System (web edition)

Multiple precision editorial computing

In editorial computing multiple precision computations are performed
by giving a specification ACCURACY=n,m where n>16 is the accuracy used
in calculations and m is the accuracy for output (by default m=n).
.......................................................................
Examples: ACCURACY=50
1/3=0.33333333333333333333333333333333333333333333333333
2^150=1427247692705959881058285969449495136382746624
.......................................................................
n=10^500  ACCURACY=1000,10  This shows how lim (1+1/n)^n=exp(1)=e
exp(1)-(1+1/n)^n=0.135914091e-499
.......................................................................
Sum 1+1/2+1/4+1/8+1/16+... = 2
ACCURACY=1000,50
b=for(i=1)to(2000)term(T=1)sum(0.5*T)
2-b=0.1741961963243443335115239098955774459171820748541e-601
2^(-1999)=0.1741961963243443335115239098955774459171820748541e-601
.......................................................................

Multiple precision editorial computing (continued)

The rules and tools in editorial multiprecision computing are the same
as in standard editorial computing.
However, certain special functions (like statistical and financial)
are not available in multiprecision form. Also multiple activations
(.=) are not permitted.

Long numbers are presented on consecutive lines as follows:
.......................................................................
ACCURACY=200 WIDTH=50 (WIDTH determines the line width. Default is 70.)
sqrt(2)=0.1414213562373095048801688724209698078569\
67187537694807317667973799073247846210703885038753\
43276415727350138462309122970249248360558507372126\
44121497099935831413222665927505592755799950501152\
7820605714e1
Results may overwrite existing lines.

Multiple precision editorial computing (continued)

Numbers computed can be saved in a compressed form to files in the
current working directory with names starting by '!' and with the .NBR
extension.
.......................................................................
Example: Computing and Saving e in !E.NBR with ACCURACY=10000
NBR=!E  / Specification giving the the name of the result
exp(1)=
When exp(1)= above is activated, e is computed and saved in !E.NBR.
Instead of a numerical value
exp(1)=!E
is diplayed on the activated line.
.......................................................................
Thereafter !E can be used in numerical computations: ACCURACY=300
log(!E)=1
.......................................................................

   P = More on multiprecision computations