import M3._

assert(der('a', ZERO | ONE) == (ZERO | ZERO))
assert(der('a', (CHAR('a') | ONE) ~ CHAR('a')) == ALT((ONE | ZERO) ~ CHAR('a'), ONE))
assert(der('a', (CHAR('a') | CHAR('a')) ~ CHAR('a')) == (ONE | ONE) ~ CHAR('a'))
assert(der('a', STAR(CHAR('a'))) == (ONE ~ STAR(CHAR('a'))))
assert(der('b', STAR(CHAR('a'))) == (ZERO ~ STAR(CHAR('a'))))


val r0_urban = "a" ~ "b" ~ "c"
assert(der('a', r0_urban) == (ONE ~ "b") ~ "c")
assert(der('b', r0_urban) == (ZERO ~ "b") ~ "c")
assert(der('c', r0_urban) == (ZERO ~ "b") ~ "c")

val r1_urban = (ONE ~ "b") ~ "c"

assert(der('a', r1_urban) == ((ZERO ~ "b") | ZERO) ~ "c")
assert(der('b', r1_urban) == ((ZERO ~ "b") | ONE) ~ "c")
assert(der('c', r1_urban) == ((ZERO ~ "b") | ZERO) ~ "c")

val r2_urban = ((ZERO ~ "b") | ONE) ~ "c"

assert(der('a', r2_urban) == ((((ZERO ~ "b") | ZERO) ~ "c") | ZERO))
assert(der('b', r2_urban) == ((((ZERO ~ "b") | ZERO) ~ "c") | ZERO))
assert(der('c', r2_urban) == ((((ZERO ~ "b") | ZERO) ~ "c") | ONE))