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/***************************************************************************************************
Each level on a SMTInsert has a state.
The state of the level depends on the state of te botom level and on `xor` and
`is0` signals.
`isOldLev` 1 when is the level where oldLeaf is.
`xor` signal is 0 if the index bit at the current level is the same in the old
and the new index, and 1 if it is different.
`is0` signal, is 1 if we are inserting in an empty leaf and 0 if we are inserting
in a leaf that contains an element.
The states are:
top: While the index bits of the old and new insex in the top level is the same, whe are in the top state.
old0 and old1: When the we reach insert level, we go to old0 and old1 states
according to `is0` signal.
btn: Once in old1 we go to btn until xor=1
new1: This level is reached when xor=1. Here is where we insert the hash of the
old and the new trees with just one element.
na: Not appliable. After inserting it, we go to the na level.
###########
levIns==curLevel # #
xor=0 is0=1 ┌────────────▶# old0 #────────┐
┌─────┐ │ ## ## │
│ │ │ ######### │ any
│ ▼ │ │
│ ########### │ │ ###########
│ # # ────────────┘ └────────▶# #
└──# top # # na #
## ## ────┐ ┌──▶## ##
######### │ │ #########
│ │
│ ########### ########### │ any
levIns==curLevel │ # # xor=1 # # │
is0=0 └───▶# old1 #─────────────▶# new1 #──┘
## ## ## ##
#########──┐ #########
│ ▲
│ ┌─────┘
any │ ###########│ xor=1
│ # #
└─▶# btn #
## ##
#########◀───────┐
│ │
│ │
└────────────┘
xor=0
***************************************************************************************************/
state