repeat<n>(a) = (x:[n]) where
	if n = 0 then
		x = []
	else
		x = a . repeat<n-1>(a)
	end if
end where

fulladder(a,b,c) = (s, r) where
	s = (a ^ b) ^ c;
	r = (a & b) + ((a ^ b) & c);
end where

adder<n>(a:[n], b:[n], c_in) = (o:[n], c_out) where
	if n = 1 then
		(o, c_out) = fulladder(a[0], b[0], c_in)
	else
		(s_n, c_n1) = fulladder(a[0], b[0], c_in);
		(s_n1, c_out) = adder<n-1>(a[1..], b[1..], c_n1);
		o = s_n . s_n1
	end if
end where

equal<n, m>(a:[n]) = (eq) where
	if n = 0 then
		eq = 1
	else
		if m - (2 * (m / 2)) = 1 then
			eq = a[0] & equal<n-1, m/2>(a[1..]);
		else
			eq = (not a[0]) & equal<n-1, m/2>(a[1..]);
		end if
	end if
end where

reg_n<n>(a:[n]) = (r:[n]) where
	if n = 1 then
		r = reg a[0]
	else
		r = (reg a[0]) . (reg_n<n-1>(a[1..]))
	end if
end where

and_each<n>(a, b:[n]) = (o:[n]) where
	if n = 1 then
		o = b[0] and a
	else
		o = (b[0] and a) . and_each<n-1>(a, b[1..])
	end if
end where

count_mod<n, m>(in:[n], op) = (out:[n], reset) where
	(incr, carry) = adder<n>(in, repeat<n>(0), op);
	reset = equal<n, m>(incr);
	neq = not reset;
	out = and_each<n>(neq, incr);
end where

count_mod_keep<n, m>(op) = (out:[n], reset) where
	(incr, carry) = adder<n>(in, op . repeat<n-1>(0), 0);
	reset = equal<n, m>(incr);
	neq = not reset;
	out = and_each<n>(neq, incr);
	in = reg_n<n>(out)
end where

dec7(i:[4]) = (o:[7]) where
	decode7 = rom<4,7>(i);
	o = decode7
end where

main() = (sec_u:[4],d7_sec_u:[7],sec_d:[4],d7_sec_d:[7],
		  min_u:[4],d7_min_u:[7],min_d:[4],d7_min_d:[7],
		  hour_u:[4],d7_hour_u:[7],hour_d:[4],d7_hour_d:[7],
		  next_day) where
	(count_seca, aug_seca) = count_mod_keep<2,2>(1);
	(count_secb, aug_secb) = count_mod_keep<3,5>(aug_seca);
	(count_secc, aug_min)  = count_mod_keep<3,6>(aug_secb);
	sec_u = count_seca[0] . count_secb;
	d7_sec_u = dec7(sec_u);
	sec_d = count_secc . 0;
	d7_sec_d = dec7(sec_d);

	(count_mina, aug_mina) = count_mod_keep<2,2>(aug_min);
	(count_minb, aug_minb) = count_mod_keep<3,5>(aug_mina);
	(count_minc, aug_hour)  = count_mod_keep<3,6>(aug_minb);
	min_u = count_mina[0] . count_minb;
	d7_min_u = dec7(min_u);
	min_d = count_minc . 0;
	d7_min_d = dec7(min_d);

	(v_hour_u, aug_houru) = count_mod<4, 10>(keep_hour_u, 1);
	(v_hour_d, aug_hourd) = adder<2>(keep_hour_d, 0.0, aug_houru);
	next_day = (equal<4,4>(v_hour_u)) and (equal<2,2>(v_hour_d));
	hour_u = and_each<4>(not next_day, v_hour_u);
	hour_d_part = and_each<2>(not next_day, v_hour_d);
	keep_hour_u = reg_n<4>(hour_u);
	keep_hour_d = reg_n<2>(hour_d_part);
	hour_d = hour_d_part . 0 . 0;
	d7_hour_u = dec7(hour_u);
	d7_hour_d = dec7(hour_d);
end where