HPP	modules/rinterval.hpp
CPP	modules/rinterval.cpp
TEX	modules/rinterval.tex
MAK	modules/rinterval.mak

MODULE	interval	modules/rinterval.hlp

TYPES
INTERVAL	cxscinterval
INPUTSTRING	string
END

IMPLICITCAST
INTERVAL	INPUTSTRING	(stringinterval(a+","+a))
DOUBLE		INPUTSTRING	(stringtodouble(a).asDOUBLE())
INTERVAL	DOUBLE	(cxscinterval(a))
END

BINARYFUNCTIONS
bracket	INTERVAL DOUBLE DOUBLE	(cxscinterval(a,b))
bracket	INTERVAL INTEGER DOUBLE	(cxscinterval(a,b))
bracket	INTERVAL DOUBLE INTEGER	(cxscinterval(a,b))
bracket	INTERVAL INTEGER INTEGER (cxscinterval(a,b))
bracket	INTERVAL INPUTSTRING INPUTSTRING (stringinterval(a+","+b))

Interval	INTERVAL DOUBLE DOUBLE	(cxscinterval(a,b))
Interval	INTERVAL INTEGER DOUBLE	(cxscinterval(a,b))
Interval	INTERVAL DOUBLE INTEGER	(cxscinterval(a,b))
Interval	INTERVAL INTEGER INTEGER (cxscinterval(a,b))
Interval	INTERVAL INPUTSTRING INPUTSTRING (stringinterval(a+","+b))

Precision	INTEGER	INTEGER	INTEGER	(rinterval_precision(a,b))
END

UNARYFUNCTIONS
parseDouble	INPUTSTRING	STRING		a
output		STRING		INPUTSTRING	a

Interval	INTERVAL INPUTSTRING	(stringinterval(a+","+a))
Interval	INTERVAL DOUBLE		(cxscinterval(a,a))
Interval	INTERVAL INTEGER	(cxscinterval(a,a))
Interval	INTERVAL STRING		(stringinterval(a))

Precision	INTEGER	INTEGER		(rinterval_precision(a))

neg		INPUTSTRING	INPUTSTRING	(a[0]=='-')?a.substr(1):((a[0]=='+')?"-"+a.substr(1):"-"+a)
END

PROCEDURES
ShowPrecision	INTEGER	(rinterval_showprecision())
END

BINARYFUNCTIONS
add	INTERVAL INTERVAL INTERVAL	(a+b)
sub	INTERVAL INTERVAL INTERVAL	(a-b)
mul	INTERVAL INTERVAL INTERVAL	(a*b)
div	INTERVAL INTERVAL INTERVAL	(a/b)

pow	INTERVAL INTERVAL INTEGER	(power(a,b))
pow	INTERVAL INTERVAL INTERVAL	(pow(a,b))

eq	INTEGER INTERVAL INTERVAL	(a==b)
neq	INTEGER INTERVAL INTERVAL	(a!=b)
lesseq	INTEGER INTERVAL INTERVAL	(a<=b)
less	INTEGER INTERVAL INTERVAL	(a<b)
greater	INTEGER INTERVAL INTERVAL	(a>b)
greatereq	INTEGER INTERVAL INTERVAL	(a>=b)


And	INTERVAL INTERVAL INTERVAL	(a&b)
Or	INTERVAL INTERVAL INTERVAL	(a|b)
END

UNARYFUNCTIONS
neg	INTERVAL INTERVAL	(-a)
sin	INTERVAL INTERVAL	(sin(a))
cos	INTERVAL INTERVAL	(cos(a))
tan	INTERVAL INTERVAL	(tan(a))
cot	INTERVAL INTERVAL	(cot(a))
asin	INTERVAL INTERVAL	(asin(a))
acos	INTERVAL INTERVAL	(acos(a))
atan	INTERVAL INTERVAL	(atan(a))
acot	INTERVAL INTERVAL	(atan(a))
sinh	INTERVAL INTERVAL	(sinh(a))
cosh	INTERVAL INTERVAL	(cosh(a))
tanh	INTERVAL INTERVAL	(tanh(a))
coth	INTERVAL INTERVAL	(coth(a))
asinh	INTERVAL INTERVAL	(asinh(a))
acosh	INTERVAL INTERVAL	(acosh(a))
atanh	INTERVAL INTERVAL	(atanh(a))
acoth	INTERVAL INTERVAL	(acoth(a))
log	INTERVAL INTERVAL	(ln(a))
exp	INTERVAL INTERVAL	(exp(a))
sqrt	INTERVAL INTERVAL	(sqrt(a))

output	STRING	INTERVAL	(output(a))
output	STRING	DOUBLE		(outputreal(a))

mid	DOUBLE	INTERVAL	(_double(mid(a)))
mid	MATRIX	MATRIX		a.foreach(mid)
inf	DOUBLE	INTERVAL	(_double(Inf(a)))
inf	MATRIX	MATRIX		a.foreach(inf)
sup	DOUBLE	INTERVAL	(_double(Sup(a)))
sup	MATRIX	MATRIX		a.foreach(sup)
diam	DOUBLE	INTERVAL	(_double(diam(a)))
diam	MATRIX	MATRIX		a.foreach(diam)
abs	INTERVAL INTERVAL	(abs(a))
abs	MATRIX	MATRIX		a.foreach(abs)

sqr	INTERVAL INTERVAL	(sqr(a))
END