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Files `builtin.h' and corresponding `.cc' implementation
files contain various convenient
inline and noninline utility functions. These include useful
enumeration types, such as TRUE
, FALSE
,the type
definition for pointers to libg++ error handling functions, and
the following functions.
long abs(long x); double abs(double x);

inline versions of abs. Note that the standard libc.a version,
int abs(int)
is not declared as inline.
void clearbit(long& x, long b);

clears the b'th bit of x (inline).
void setbit(long& x, long b);

sets the b'th bit of x (inline)
int testbit(long x, long b);

returns the b'th bit of x (inline).
int even(long y);

returns true if x is even (inline).
int odd(long y);

returns true is x is odd (inline).
int sign(long x); int sign(double x);

returns 1, 0, or 1, indicating whether x is less than, equal to, or
greater than zero (inline).
long gcd(long x, long y);

returns the greatest common divisor of x and y.
long lcm(long x, long y);

returns the least common multiple of x and y.
long lg(long x);

returns the floor of the base 2 log of x.
long pow(long x, long y); double pow(double x, long y);

returns x to the integer power y using via the iterative O(log y)
"Russian peasant" method.
long sqr(long x); double sqr(double x);

returns x squared (inline).
long sqrt(long y);

returns the floor of the square root of x.
unsigned int hashpjw(const char* s);

a hash function for nullterminated char* strings using the
method described in Aho, Sethi, & Ullman, p 436.
unsigned int multiplicativehash(int x);

a hash function for integers that returns the lower bits of
multiplying x by the golden ratio times pow(2, 32).
See Knuth, Vol 3, p 508.
unsigned int foldhash(double x);

a hash function for doubles that exclusiveor's the first and
second words of x, returning the result as an integer.
double start_timer()

Starts a process timer.
double return_elapsed_time(double last_time)

Returns the process time since last_time.
If last_time == 0 returns the time since the last start_timer.
Returns 1 if start_timer was not first called.
File `Maxima.h' includes versions of MAX, MIN
for builtin types.
File `compare.h' includes versions of compare(x, y)
for builtin types. These return negative if the first argument
is less than the second, zero for equal, and positive for greater.
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