Existing CAS commands --> Prime discussion

[compsystems]

(11-29-2018 01:47 AM)rprosperi Wrote:  But if you use epsilon:=5E-12, as suggested by Joe to get the same results as Home's fraction button, exact() provides the same result as float2rational(). The magnitude of epsilon controls how far the reduction is continued.

It is true, but I think that this command was not included (hpp cas) because apparently it is mentioned as "synonymous" and with an example that is not fulfilled implies that they are not identical commands, therefore, this important command must be included.

by ejp I wish to show step by step the conversion of a periodic fractional number to a rational number

PHP Code:

'f=0.324532453245' // eq1
// eq1 * 10000
10000*(f=0.324532453245)
10000*f = 3245.32453245 // eq2
// eq2 - eq1
(10000*f = 3245.32453245) - (f=0.324532453245)
(9999*f) = 3245
f=3245/9999
solve((9999*f) = 3245,f,'=') ↵ set[f = 295/909] 


now with exact & float2rational

epsilon:=1E-12:;
exact(0.324532453245) ↵1100186656/3390066679
float2rational(0.324532453245) ↵ 295/909