HPP	modules/rlinterval.hpp
CPP	modules/rlinterval.cpp
TEX	modules/rlinterval.tex

MODULE linterval modules/rlinterval.hlp

TYPES
LINTERVAL	cxscl_interval
END

IMPLICITCAST
LINTERVAL	INPUTSTRING	(stringl_interval(a+","+a))
LREAL		INPUTSTRING	(stringl_real(a))
INTERVAL	INPUTSTRING	(stringinterval(a+","+a))
DOUBLE		INPUTSTRING	(stringtodouble(a).asDOUBLE())
LINTERVAL	INTERVAL	(cxscl_interval(a))
LINTERVAL	LREAL		(cxscl_interval(a,a))
END

BINARYFUNCTIONS
LInterval	LINTERVAL INPUTSTRING INPUTSTRING (stringl_interval(a+","+b))
LInterval	LINTERVAL DOUBLE DOUBLE	(cxscl_interval(a,b))
LInterval	LINTERVAL INTEGER DOUBLE	(cxscl_interval(a,b))
LInterval	LINTERVAL DOUBLE INTEGER	(cxscl_interval(a,b))
LInterval	LINTERVAL INTEGER INTEGER (cxscl_interval(a,b))
LInterval	LINTERVAL LREAL LREAL	(cxscl_interval(a,b))
bracket		LINTERVAL LREAL LREAL	(cxscl_interval(a,b))
END

UNARYFUNCTIONS
LInterval	LINTERVAL INPUTSTRING	(stringl_interval(a+","+a))
LInterval	LINTERVAL DOUBLE	(cxscl_interval(a,a))
LInterval	LINTERVAL INTEGER	(cxscl_interval(a,a))
LInterval	LINTERVAL LREAL		(cxscl_interval(a,a))
LInterval	LINTERVAL INTERVAL	(cxscl_interval(a))
LInterval	LINTERVAL STRING	(stringl_interval(a))
END

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

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

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

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

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

output	STRING	LINTERVAL	(output(a))

mid	LREAL	LINTERVAL	(mid(a))
inf	LREAL	LINTERVAL	(Inf(a))
sup	LREAL	LINTERVAL	(Sup(a))
diam	LREAL	LINTERVAL	(diam(a))
abs	LINTERVAL LINTERVAL	(abs(a))
sqr	LINTERVAL LINTERVAL	(sqr(a))
END