feat!: Gaussian's EP operations stop wearing arithmetic's clothes
`Gaussian` publicly implemented `Mul`, `Div`, `Add` and `Sub`. They were
the EP product, cavity and variance-space convolutions, and every one of
them lies to a reader who takes the operator at face value:
a = N(10, 2) b = N(4, 3) c = N(1, 1)
a * b N(8.15, 1.66) not 40
a - b sigma GREW, 2 -> sqrt(4 + 9)
a * N(1, 0) mu = NaN "multiply by one"
a / c pi = -0.75 mu() prints a confident 0
The last is this crate's signature defect on a public operator. `Div` is
the cavity and can legitimately leave a negative precision, which is not
a distribution — and `mu()`/`sigma()` guard `pi <= 0` and report `0.0`
and `inf`, so it comes back as a plausible number with no panic, no
`Debug` marker and nothing to test against.
The four impls are now `pub(crate)` inherent methods that say what they
do: `ep_product`, `cavity`, `convolve`, `convolve_diff`, plus `scale`
for the one operation that genuinely is arithmetic. Nothing in a user's
workflow needed operator syntax; inference did, and it still has it.
`pi()` and `tau()` follow. Storing natural parameters is a performance
decision — it makes message passing two adds — not a contract. The
public surface is now exactly: `from_ms`, `from_mv`, `mu`, `sigma`,
`variance`, `probability_below`, `probability_above`. `from_mv` and
`variance` are promoted from `pub(crate)`; they are the honest pair for
callers who already hold a variance and should not pay a round trip
through the square root.
Four integration tests asserted bit-identity on `(pi, tau)`. They assert
it on `(mu, variance)` instead — still `assert_eq!`, still exact, and
`1/pi` and `tau/pi` are deterministic, so bit-equal natural parameters
give bit-equal moments. `a_nan_sigma_passes_through_from_ms` drops its
`|| g.pi().is_nan()` half: `sigma()` substitutes for `pi <= 0` and
`pi == inf`, so NaN survives to it only from a NaN precision.
`benches/gaussian.rs` is deleted. It timed two f64 additions through the
public operators, and keeping those public solely to feed it is the same
thing #73 objected to when a benchmark was dictating five public types.
The paths it covered are exercised by `batch` and `history_converge`
through the real call chain.
Closes #71.
Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_011hcFjNDmHXZF8URGLku5zZ
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@@ -87,8 +87,8 @@ fn a_joint_answers_exactly_what_the_one_shot_call_does() {
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let terms = [(&a, 1.0), (&b, -1.0)];
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let one_shot = h.posterior_of(&terms).unwrap();
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let cached = joint.posterior_of(&terms).unwrap();
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assert_eq!(one_shot.pi(), cached.pi(), "{a} - {b}");
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assert_eq!(one_shot.tau(), cached.tau(), "{a} - {b}");
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assert_eq!(one_shot.mu(), cached.mu(), "{a} - {b}");
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assert_eq!(one_shot.variance(), cached.variance(), "{a} - {b}");
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}
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}
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@@ -104,8 +104,8 @@ fn a_joint_agrees_at_a_pinned_time_too() {
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let cached = joint.posterior_of_at(time, &terms);
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match (one_shot, cached) {
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(Ok(x), Ok(y)) => {
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assert_eq!(x.pi(), y.pi(), "t={time} {a} - {b}");
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assert_eq!(x.tau(), y.tau(), "t={time} {a} - {b}");
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assert_eq!(x.mu(), y.mu(), "t={time} {a} - {b}");
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assert_eq!(x.variance(), y.variance(), "t={time} {a} - {b}");
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}
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(Err(x), Err(y)) => assert_eq!(x, y, "t={time} {a} - {b}"),
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(x, y) => panic!("t={time} {a} - {b}: disagreed on success: {x:?} vs {y:?}"),
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@@ -262,8 +262,8 @@ fn unseen_competitors_match_the_one_shot_path() {
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let terms = [(&a, 1.0), (&z, -1.0)];
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let one_shot = h.posterior_of(&terms).unwrap();
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let cached = joint.posterior_of(&terms).unwrap();
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assert_eq!(one_shot.pi(), cached.pi());
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assert_eq!(one_shot.tau(), cached.tau());
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assert_eq!(one_shot.mu(), cached.mu());
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assert_eq!(one_shot.variance(), cached.variance());
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}
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/// A drift too small to represent must collapse, not corrupt the matrix.
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