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-# Intervals
-**Intervals** are a new experimental numeric type that comprises UInt, SInt and FixedPoint numbers.
-It augments these types with range information, i.e. upper and lower numeric bounds.
-This information can be used to exercise tighter programmatic control over the ultimate widths of
-signals in the final circuit.  The **Firrtl** compiler can infer this range information based on 
-operations and earlier values in the circuit. Intervals support all the ordinary bit and arithmetic operations
-associated with UInt, SInt, and FixedPoint and adds the following methods for manipulating the range of
-a **source** Interval with the IntervalRange of **target** Interval 
-
-### Clip -- Fit the value **source** into the IntervalRange of **target**, saturate if out of bounds
-The clip method applied to an interval creates a new interval based on the argument to clip,
-and constructs the necessary hardware so that the source Interval's value will be mapped into the new Interval.
-Values that are outside the result range will be pegged to either maximum or minimum of result range as appropriate.
-
-> Generates necessary hardware to clip values, values greater than range are set to range.high, values lower than range are set to range min.
-
-### Wrap -- Fit the value **source** into the IntervalRange of **target**, wrapping around if out of bounds
-The wrap method applied to an interval creates a new interval based on the argument to wrap,
-and constructs the necessary
-hardware so that the source Interval's value will be mapped into the new Interval.
-Values that are outside the result range will be wrapped until they fall within the result range.
-
-> Generates necessary hardware to wrap values, values greater than range are set to range.high, values lower than range are set to range min.
-
-> Does not handle out of range values that are less than half the minimum or greater than twice maximum
-
-### Squeeze -- Fit the value **source** into the smallest IntervalRange based on source and target.
-The squeeze method applied to an interval creates a new interval based on the argument to clip, the two ranges must overlap
-behavior of squeeze with inputs outside of the produced range is undefined.
-
-> Generates no hardware, strictly a sizing operation
-
-#### Range combinations
-
-| Condition | A.clip(B) | A.wrap(B) | A.squeeze(B) |
-| --------- | --------------- | --------------- | --------------- |
-| A === B   | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  |
-| A contains B   | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  |
-| B contains A   | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  |
-| A min < B min, A max in B  | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  |
-| A min in B, A max > B max  | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  | max(Alo, Blo), min(Ahi, Bhi)  |
-| A strictly less than B   | error               | error               | error               |
-| A strictly greater than B   | error               | error               | error               |
-
-
-### Applying binary point operators to an Interval
-
-Consider a Interval with a binary point of 3: aaa.bbb 
-
-| operation | after operation | binary point | lower | upper | meaning | 
-| --------- | --------------- | ------------ | ----- | ----- | ------- |
-| setBinaryPoint(2) | aaa.bb |  2 | X | X  | set the precision |
-| shiftLeftBinaryPoint(2) | a.aabbb |  5 | X | X  | increase the precision |
-| shiftRighBinaryPoint(2) | aaaa.b |  1 | X | X  | reduce the precision |
-