Newton had a fun way to approximate general roots...

[Pete]

Yeah, it's confusing as hell because it is implementing my string math, choice #1, Treebeard's constants an string math, choice #2, and I even threw in my old division method for some needed debugging. Take everything out except for my string routines and you would be left with about 600+ lines of code.

I posted this as a general discussion to Jack's challenge of how to get a cube root of a 1000+ digit number.

Right now, I'm working on an approximation routine, so I can get that initial estimation number I fudged in this example to be figured out by the computer program.

So basically, I'm working on something like this now....

Code: (Select All)

rn$ = "31415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989"
groot&& = 3
xnum&& = LEN(rn$) - 1
IF INSTR(rn$, ".") THEN xnum&& = xnum&& - 1
IF INSTR(rn$, "-") THEN xnum&& = xnum&& - 1
seed_root$ = "1" + STRING$(xnum&& \ groot&&, "0")
PRINT xnum&&; " \ "; groot&&; " = "; xnum&& \ groot&&; " 10^ = "; seed_root$

Pete