
A function enclosure with no information about the function's values.



Construct a constant enclosure for a tuple of functions.



:: [ranra]  values at 0
 > Map varid [ranra]  ascents of each base vector
 > fa   Construct the exact enclosure of an affine function on [1,1]^n.



volume :: [varid] > fa > ranra  Source 

Find close upper and lower bounds of the volume of the entire enclosure.
A negative volume means that the enclosure is certainly inconsistent.
Explicitly specify the variables to identify the dimension of the domain.


intersectMeasureImprovement  Source 

:: EffortIndex   > [varid]   > fa   > fa   > (fa, ranra)  enclosure intersection and measurement of improvement analogous to the one
returned by the pointwise RA.intersectMeasureImprovement
 Intersect two enclosures and measure the global improvement as one number.
(Use RA.intersectMeasureImprovement defined in module Data.Number.ER.Real.Approx
to measure the improvement using a function enclosure.)
Explicitly specify the variables to identify the dimension of the domain.




:: EffortIndex  how hard to try
 > fa  function to integrate
 > varid  x = variable to integrate by
 > domra  origin in terms of x; this has to be exact!
 > fa  values at origin
 > fa   Safely integrate a [1,1]^n > R^m function enclosure
with some initial condition (origin and function at origin).

