"IMTH" Some integer math functions

Fingerprint ID:0x494d5448

New in version 0.5-rc2.

This fingerprint, from RC/Funge-98, implements yet another mathematical functions over integers. It provides the following commands:

A : a₁ ... a_n n — (Σa_i÷n)

Calculates an average of n items (possibly including implicit zeroes under the bottom) from the stack. Reflects if n is negative, and pushes zero if n is zero.

B : x — abs(x)

Calculates the absolute value of x.

C : x — (1000×x)

Multiplies x by 1000.

D : x — (x-sign(x))

Decreases the absolute value of x if x is nonzero, or do nothing if x is zero. In principle it is equal to x minus the sign function (see G command) of x.

E : x — (10000×x)

Multiplies x by 10000.

F : n — n!

Calculates the factorial of n. Reflects if n is negative. Strangely enough, it pushes zero (not 1) if n is zero. PyFunge retains this behavior for compatibility with RC/Funge-98.

G : x — sign(x)

Pushes the sign function of x: -1 if x is negative, +1 if x is positive, and 0 if x is zero.

H : x — (100×x)

Multiplies x by 100.

I : x — (x+sign(x))

Increases the absolute value of x if x is nonzero, or do nothing if x is zero. In principle it is equal to x plus the sign function (see G command) of x.

L : x c — (x×2^c)

Shift x left by c bits, or right by -c bits if c is negative. No-op if c is zero.

N : a₁ ... a_n n — min{a_i}

Calculates a minimum of n items (possibly including implicit zeroes under the bottom) from the stack. Reflects if n is negative or zero.

R : x c — (x÷2^c)

Shift x right by c bits, or left by -c bits if c is negative. No-op if c is zero.

S : a₁ ... a_n n — (Σa_i)

Calculates a sum of n items (possibly including implicit zeroes under the bottom) from the stack. Reflects if n is negative, and pushes zero if n is zero.

T : x — (10×x)

Multiplies x by 10.

U : x —

Prints x as an unsigned integer. Note that PyFunge prints only lower 32 bits of x since this command requires the size of integer to be finite.

X : a₁ ... a_n n — max{a_i}

Calculates a maximum of n items (possibly including implicit zeroes under the bottom) from the stack. Reflects if n is negative or zero.

Z : x — -x

Negates the sign of x.