func TestPerReleaseRDPClosedForm(t *testing.T) · on is sigma

Read the equation

This relation defines on is sigma in the source section “func TestPerReleaseRDPClosedForm(t *testing.T) · on is sigma”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read on is sigma as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

		if !almostEqual(got, c.want, 1e-12) {
			t.Fatalf("gaussianRDP(sigma=%v, alpha=%v) = %v, want %v", c.sigma, c.alpha, got, c.want)
		}
	}
}

// TestNoiseMultiplierConvention pins the documented convention that the only quantity the RDP curve depends
// on is sigma = NoiseSigma / ClipNorm, the noise in units of the sensitivity. A release with NoiseSigma 4 and
// ClipNorm 2 has the same privacy as NoiseSigma 2 and ClipNorm 1, both multiplier 2.
func TestNoiseMultiplierConvention(t *testing.T) {
	a := GaussianRelease{NoiseSigma: 4, ClipNorm: 2}
	b := GaussianRelease{NoiseSigma: 2, ClipNorm: 1}
	if !almostEqual(a.noiseMultiplier(), b.noiseMultiplier(), 1e-12) {
		t.Fatalf("noise multiplier convention broken: %v vs %v", a.noiseMultiplier(), b.noiseMultiplier())
	}
	if !almostEqual(a.noiseMultiplier(), 2, 1e-12) {
		t.Fatalf("noise multiplier = %v, want 2", a.noiseMultiplier())
	}

on is sigma = NoiseSigma / ClipNorm, the noise in units of the sensitivity. A release with NoiseSigma 4 and

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