bash - Remove specific lines

I'd like to remove a few lines from a csv file.

The rules are simple enough (Keep line if):

• It's the first line in the file.


• The first value is different from the first value of the previous row.


• The second value has increased by at least 10 from the previous kept line.

Source

Test1,  0.0, 1
Test1,  0.2, 1
Test1, 10.0, 3
Test2,  0.1, 1
Test2,  0.3, 3
Test2,  1.0, 5
Test2, 11.0, 7

Result

Test1,  0.0, 1
Test1, 10.0, 3
Test2,  0.1, 1
Test2, 11.0, 7

I was thinking of doing this with awk and a few if statements, but I'm not certain if I can make a variable that is transferred between record processing.

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EDIT: this was hidden in the comments section (from me):

I just found out that the variables are usable between records. Something that doesn't work quite like C. I'll remove this question unless someone gives an answer that I deem usable for others or someone asks me to provide the answer.

Since it's tagged with awk

awk -F", *" 'x!=$1||$2>=y+10{y=$2;print}{x=$1}' file



Test1,  0.0, 1
Test1, 10.0, 3
Test2,  0.1, 1
Test2, 11.0, 7