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diff --git a/tests/programs/parity_ops.zc b/tests/programs/parity_ops.zc
new file mode 100644
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+++ b/tests/programs/parity_ops.zc
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+// operator precedence and associativity, the same in both compilers. every binary
+// operator is placed next to its neighbours in the table and between two of the same
+// kind, so a wrong binding changes a printed number. src/tools/parity.sh compiles
+// this program with zc0 and with the self-hosted compiler and compares the output.
+// it stays inside zc0's subset: no ?: (zc0 has none), no types beyond int.
+//
+// the table, tightest first: unary - ! ~ * &, then * / %, + -, << >>, < > <= >=,
+// == !=, &, ^, |, &&, ||, then the assignments, which group to the right. every
+// binary operator groups to the left. the expected output follows the c rules and
+// was checked by compiling the same expressions with a c compiler.
+namespace;
+include rt;
+
+int trace, calls;
+int seen(int v) { calls++; trace = trace * 10 + v; return v; }
+int id(int v) { return v; }
+int out(int v) { rt.put_n(v); rt.put_c(32); return v; }
+int endl() { rt.put_c(10); return 0; }
+
+int main() {
+	// operands the compilers cannot fold away
+	int a = id(2), b = id(3), c = id(4), e = id(5), z = id(0), one = id(1);
+
+	// * / % against + -, and left grouping
+	out(a + b * c); out(a * b + c); out(a - b * c); out(a * b - c); out((a + b) * c);
+	out(id(100) - 30 - 20); out(1 - 2 + 3); out(id(100) / 5 / 2); out(id(20) / 3 * 3);
+	out(a * b % c); out(id(100) % 7 % 3); out(id(100) / 10 % 4); out(id(7) % 4 * 3);
+	endl();
+
+	// + - against << >>, and left grouping
+	out(one << a + one); out(id(32) >> a - one); out(one << a << b); out(id(256) >> a >> one);
+	out(one << b * a); out(id(8) >> one << one);
+	endl();
+
+	// shifts against < > <= >=, and the relational chain
+	out(one << a < e); out(id(16) >> one > 7); out(a < b < c); out(e > c > b);
+	out(z <= e <= z); out(a >= b >= z);
+	endl();
+
+	// relations against == !=, and the equality chain
+	out(a < b == one); out(one == a > b); out(e == e == one); out(b != c != one);
+	out(id(3) > a == one < a);
+	endl();
+
+	// == against & ^ |
+	out(c & c == c); out(one | a == a); out(b ^ b == b); out(a == a & one); out(c != z | z);
+	endl();
+
+	// & ^ | against each other, and against + and <<
+	out(c | b & one); out(id(7) ^ e & b); out(one | 6 ^ b); out(id(6) & b | 8);
+	out(a + 6 & c); out(one & b << one); out(id(12) | one << a);
+	endl();
+
+	// && and || against | & and each other; the result of both is 0 or 1
+	out(one || z && z); out(z && z || one); out(z || one && one || z); out(z && one | one);
+	out(one || z & z); out(b && c); out(b & c); out(z || id(9)); out(id(7) && id(8) && z);
+	out(a < b && c < e || z); out(z == z || z && z);
+	endl();
+
+	// unary operators
+	out(-a * b); out(- -b); out(-a + e); out(!z + one); out(!a == z); out(!!id(7));
+	out(~z & 255); out(~one + one); out(~a & 7); out(-a * -b); out(a - -b); out(-id(7) % 4);
+	out(!(a < b) + one); out(*&a + one); out(-*&b);
+	endl();
+
+	// assignment groups to the right and takes the whole expression on its right
+	int x, y, w;
+	x = y = w = id(7); out(x); out(y); out(w);
+	x = id(10); x -= 3 - 1; out(x);
+	x *= a + b; out(x);
+	x <<= one + one; out(x);
+	x |= one << b; out(x);
+	x += y -= 2; out(x); out(y);
+	x = id(100); x /= a * b; out(x);
+	x %= 7 - 2; out(x);
+	x = id(6); x &= 3 | 8; out(x);
+	x ^= 1 + 2 * 3; out(x);
+	x = id(255); x >>= 2 + 2; out(x);
+	endl();
+
+	// division, remainder and shifts of negative numbers
+	out(id(0) - 7 / 2); out((id(0) - 7) / 2); out((id(0) - 7) % 3); out(id(7) % (id(0) - 3));
+	out((id(0) - 8) >> 1); out((id(0) - 8) << 1);
+	endl();
+
+	// short circuit: how many operands ran, and in what order
+	calls = 0; trace = 0; x = seen(0) && seen(1); out(x); out(calls); out(trace);
+	calls = 0; trace = 0; x = seen(1) || seen(2); out(x); out(calls); out(trace);
+	calls = 0; trace = 0; x = seen(1) || seen(2) && seen(3); out(x); out(calls); out(trace);
+	calls = 0; trace = 0; x = seen(0) || seen(2) && seen(3); out(x); out(calls); out(trace);
+	calls = 0; trace = 0; x = seen(0) && seen(2) || seen(3); out(x); out(calls); out(trace);
+	calls = 0; trace = 0; x = seen(1) && seen(0) || seen(2) && seen(3); out(x); out(calls); out(trace);
+	calls = 0; trace = 0; x = seen(1) | seen(2) && seen(0) & seen(3); out(x); out(calls); out(trace);
+	endl();
+
+	// operands run left to right whatever their binding
+	calls = 0; trace = 0; x = seen(1) + seen(2) * seen(3) - seen(4); out(x); out(calls); out(trace);
+	calls = 0; trace = 0; x = seen(1) << seen(2) < seen(3) == seen(4); out(x); out(calls); out(trace);
+	calls = 0; trace = 0; x = out(seen(1) - seen(2)) * out(seen(3)); out(x); out(calls); out(trace);
+	endl();
+	return 0;
+}