The first result below is correct; the second is close but has fewer significant digits. The strings have 211 characters. I can't figure out what my precision specification has to do with the output.
v:\> echo %@eval[2**103=0.10]
10141204801825835211973625643010
v:\> echo %@eval[2**103=0.11]
10141204801825835211973625643008
// this is before the decimal point; add the desired number of decimal places
INT extra (MAPM base, MAPM exponent)
{
MAPM u, mm1 = MM_One;
INT x;
u = ++((base.log10() * exponent).ceil());
CHAR *szdp = (CHAR*) AllocMem(u.significant_digits()+1);
u.toIntegerString(szdp);
x = atoi(szdp);
FreeMem(szdp);
return x;
}
10,000 digits to the left of the decimal, and 10,000 to the right. It is not 15,000.... or, more appropriately for @EVAL, the minimum of that number and 15,000.
Another thing ... 10**10000 works, but 10**10001 evokes an overflow message. Does that reflect an older limit? Isn't it 15000 these days?
The help says10,000 digits to the left of the decimal, and 10,000 to the right. It is not 15,000.
And I was wrong about my .5**(-103) not needing the extra() digits. If you're going to use that, you should use it for any base.The maximum size is 30,000 digits (15,000 digits to the left of the decimal point and 15,000 decimal places).
v:\> echo %@pow[1.01 10310.99]^r^n%_ruler
extra = 46
361111948879059149982803812474402661922976059.62768572890231244276
....+....1....+....2....+....3....+....4....+....5....+....6....+....7....+....8....+....9....+....0....+....1...
The change was in v19's "What's new".10,000 digits to the left of the decimal, and 10,000 to the right. It is not 15,000.
INT extra (MAPM base, MAPM exponent)
{
MAPM mm1 = MM_One, u;
INT x;
u = ++(((base.log10()).abs() * exponent).ceil());
CHAR *szdp = (CHAR*) AllocMem(u.significant_digits() + 1);
u.toIntegerString(szdp);
x = atoi(szdp);
FreeMem(szdp);
return x;
}
double b = ... , // base
e = ... , // exponent
extra = 1 + ceil(e * abs(log10(b)));
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