return r
}

func TestZetas(t *testing.T) {
	ζ := big.NewInt(17)
	q := big.NewInt(q)
	for k, zeta := range zetas {
		// ζ^BitRev7(k) mod q
		exp := new(big.Int).Exp(ζ, big.NewInt(int64(BitRev7(uint8(k)))), q)
		if big.NewInt(int64(zeta)).Cmp(exp) != 0 {
			t.Errorf("zetas[%d] = %v, expected %v", k, zeta, exp)
		}
	}
}

func TestGammas(t *testing.T) {
	ζ := big.NewInt(17)
	q := big.NewInt(q)

	k := 1
	for len := 128; len >= 2; len /= 2 {
		for start := 0; start < 256; start += 2 * len {
			zeta := zetas[k]
			k++
			// Bounds check elimination hint.
			f, flen := f[start:start+len], f[start+len:start+len+len]
			for j := 0; j < len; j++ {
				t := fieldMul(zeta, flen[j])
				flen[j] = fieldSub(f[j], t)
				f[j] = fieldAdd(f[j], t)
			}
		}
	}
	return nttElement(f)
}

  for (int i = 0; i < result->subgraph_metadata()->size(); ++i) {
    auto result_subgraph_metadata =
        result->subgraph_metadata()->GetAs<SubgraphMetadata>(i);
    auto expected_subgraph_metadata =
        expected->subgraph_metadata()->GetAs<SubgraphMetadata>(i);
    if (expected_subgraph_metadata->op_metadata() == nullptr &&
        result_subgraph_metadata->op_metadata() == nullptr) {
      return;
    }

				}

				// Validate extra column for v1
				if i == 1 {
					zeta := metav1beta1.TableColumnDefinition{Name: "Zeta", Type: "integer", Format: "int64", Description: "the zeta field", Priority: 42}
					if got, expected := tbl.ColumnDefinitions[6], zeta; got != expected {
						t.Errorf("expected column definition %#v, got %#v", expected, got)
					}
				}
			}

{% block metas %}
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1">
{% endblock %}

{% block styles %}
<style>
    table {
        color: #333;
        background: white;
        border: 1px solid grey;
        font-size: 12pt;
        border-collapse: collapse;
        width: 100%;
    }

    table thead th,
    table tfoot th {

 *     <li>The string "SNAPSHOT" <b>has no special meaning</b>, and is sorted alphabetically like any other string part: 1.0-alpha {@literal <} 1.0-SNAPSHOT {@literal <} 1.0-zeta {@literal <} 1.0-rc {@literal <} 1.0.</li>

            return JavaVersion.VERSION_19
        }
        if (kotlinVersion.baseVersion < KOTLIN_1_9_20) {
            return JavaVersion.VERSION_20
        }
        // No baseVersion since the betas don't support Java 22
        if (kotlinVersion < KOTLIN_2_0_0) {
            return JavaVersion.VERSION_21
        }
        return null
    }

	if e.isAlpha && e.strictRemovedHandlingInAlpha { // don't serve in alpha if we want strict handling
		return false
	}
	if e.isAlpha { // alphas are allowed to continue serving expired betas while we clean up the test
		return true
	}
	if e.serveRemovedAPIsOneMoreRelease { // cluster-admins are allowed to kick the can one release down the road
		return true
	}
	return false
}

//              lgamma(x) = 0.5*s + s*P(s)/Q(s)
//      with accuracy
//              |P/Q - (lgamma(x)-0.5s)| < 2**-61.71
//      Our algorithms are based on the following observation
//
//                             zeta(2)-1    2    zeta(3)-1    3
// lgamma(2+s) = s*(1-Euler) + --------- * s  -  --------- * s  + ...
//                                 2                 3
//
//      where Euler = 0.5772156649... is the Euler constant, which

** The strings `rc`, `snapshot`, `final`, `ga`, `release` and `sp` are considered **higher** than any other string part (sorted in this order): `1.0-zeta` < `1.0-rc` < `1.0-snapshot` < `1.0-final` < `1.0-ga` < `1.0-release` < `1.0-sp` < `1.0`.