101006 |
^ZTrim
|
( Z → Z' )
Strips Z from unnecessary leading nibbles.
Counts nibbles required for
representation. If that equals used nibbles
then quick exit. Else allocates new object,
copies significant mantissa nibbles and
apends original sign.
|
102006 |
^ZAbs
|
( Z → |Z| )
Takes the absolute value of Z. If Z is
already positive then does nothing. Else
duplicate object and change sign.
|
50B006 |
^ZABS
|
( Z → Z' )
Absolute value.
|
590006 |
(^ZSQ)
|
( Z → Z' )
Computes the square of a zint.
|
0E0006 |
^ZSQRT
|
( Z → Z' flag )
Calculates integer part of square root. If
the number was a square, then flag is TRUE to
indicate that the returned result is exact.
|
3D0006 |
^Mod
|
( Z Zn → Z' )
Make Z modulo N.
|
0DD006 |
^ZMod
|
( Z1 Z2 → Z' )
|
105006 |
^ZNMax
|
( Z1 Z2 → NormMax[Z1,Z2] )
Returns the integer with the greatest
absolute value. (Returns Z1 if |Z1|≥|Z2|;
returns Z2 if |Z1|<|Z2|).
|
106006 |
^ZNMin
|
( Z1 Z2 → NormMin[Z1,Z2] )
Returns the integer with the smallest
absolute value. (Returns Z1 if |Z1|≤|Z2|;
returns Z2 if |Z1|>|Z2|).
|
10D006 |
^ZBits
|
( Z → Z #bits )
Calculates number of bits used in Z.
|
10E006 |
^ZBit?
|
( Z #bit → Z flag )
Tests if a bit in Z is set.
Count starts from zero, as opposed to ZBits.
|
2B7006 |
^ZGCDext
|
( Z2 Z1 → Z )
Integer GCD.
|
2B8006 |
^ZGcd
|
( Z2 Z1 → Z )
This is the same entry as ZGCDext.
|
20A006 |
^IEGCD
|
Internal EGCD for integers.
|
3D6006 |
^IEGCDext
|
( a b → d u v )
Bezout for integers.
d=au+bv=gcd(a,b).
|
3D9006 |
^INEGCD
|
( a b → d u v )
|
3DA006 |
^EGCDSWAP
|
|
3DB006 |
^EGCDNEWG
|
|
07C007 |
^#FACT
|
( # → Z )
Calculates the factorial of an integer. Works
fine for all numbers #0 - #FFFFF, although at
some point you will get an out of memory
error.
|
576006 |
^factzint
|
( z → z! )
Factorial for long integers.
|
215006 |
^PA2B2
|
( z/% → a+bi )
Internal PA2B2.
|