Square adjustment

Assume that an equation is written as $(x-W)^2=U$ where $U,W$ are intervals and $x$ lie in the interval [LOW, HIGH]. According to the interval values LOW and HIGH may not be compatible with the equation. The procedure ALIAS_Ajuste_Square allows one to obtain new bounds for the range for $x$:

 
int ALIAS_Ajuste_Square(INTERVAL &U,INTERVAL &W,double *LOW,double *HIGH)

This procedure will return:

• -1 if $x$ cannot be a solution of the equation
• 1 if new values have been found for LOW and/or HIGH
• 2 if the sum of the absolute value of the change between the initial value of LOW, HIGH and their new value is greater than ALIAS_Seuil_Ajuste or if this sum is larger than the initial diameter of $x$ multiplied by ALIAS_Seuil_Ajuste_Percent divided by 100
• 0 otherwise