Avia ridens dicit se ad idem pistrinum cras redituram esse, si pistor aliam placentam servaverit.

Ridens is the present participle of rideo. It means laughing or sometimes smiling, depending on context.

It agrees with avia and describes her while she is speaking:

• avia = grandmother
• ridens = laughing / smiling

So avia ridens means the grandmother, laughing or the laughing grandmother.

Because it is a present participle, it suggests action happening at the same time as dicit: she is laughing as she says this.

After verbs like say, think, know, and hear, Latin often uses an indirect statement instead of a clause introduced by that.

So instead of saying:

• she says that she will return

Latin says:

• dicit se ... redituram esse

This construction is called the accusative-and-infinitive construction:

• se = the subject of the indirect statement, in the accusative
• redituram esse = the infinitive part, meaning will return

So dicit se ... redituram esse literally looks like she says herself to be going to return, but in normal English it becomes she says that she will return.

Se is the reflexive pronoun. It refers back to the subject of the main verb, which here is avia.

So:

• avia ... dicit se ... redituram esse
• the grandmother says that she will return

Latin uses se because the person who is speaking is also the person who will return.

If Latin wanted to say that some other woman would return, it would use a different pronoun, such as eam, not se.

Because it agrees with se, and se refers to avia, which is feminine.

The form comes from the future active participle:

• masculine: rediturus
• feminine: reditura
• neuter: rediturum

Here it appears in the accusative feminine singular:

• redituram

That is because in indirect statement, the subject is in the accusative, and the participle agrees with that subject.

So se ... redituram esse means that she will return.

Redituram esse is the future infinitive.

Latin forms the future infinitive like this:

• future active participle + esse

So:

• redituram esse = to be going to return
• in smoother English: to return in the future, or simply will return

Because it is inside an indirect statement after dicit, English usually translates it as:

• she says that she will return

Because ad takes the accusative case.

So the phrase means:

• ad = to / toward
• idem pistrinum = the same bakery

A useful point here is that pistrinum is a neuter noun. In neuter nouns, the nominative and accusative singular are the same in form. So pistrinum can be either nominative or accusative depending on its job in the sentence.

Here, after ad, it is accusative.

Because pistrinum is neuter.

The forms of idem change by gender and case. In the accusative singular:

• masculine: eundem
• feminine: eandem
• neuter: idem

Since pistrinum is neuter, the correct form is idem.

So:

• ad eundem pistorem = to the same baker
• ad idem pistrinum = to the same bakery

Cras means tomorrow, and it goes with redituram esse.

So the idea is:

• she says that she will return tomorrow

Latin word order is more flexible than English word order, so cras can often move around without changing the basic meaning. Its position here is perfectly natural, but Latin could place it elsewhere for emphasis.

Because Latin often uses the future perfect in an if-clause when the action of that clause must happen before the action of the main clause.

Here the sense is:

• first, the baker saves/reserves another cake
• then, the grandmother returns tomorrow

So Latin says:

• si pistor aliam placentam servaverit

Literally, this is close to if the baker will have saved another cake.

But in natural English, we usually say:

• if the baker saves another cake
• or if the baker has saved another cake

Here it is best understood as future perfect indicative, not subjunctive.

This form can be confusing because in many verbs, especially first-conjugation verbs like servo, the future perfect indicative and the perfect subjunctive look the same:

• servaverit can be either form in appearance

Context tells you which one it is.

Here the sentence is talking about a real future possibility:

• she says she will return tomorrow, if the baker has saved another cake

That is exactly the kind of context where Latin commonly uses the future perfect indicative in the si clause.

Placentam is the direct object of servaverit, so it is in the accusative singular.

Aliam agrees with it:

• aliam = another / a different
• placentam = cake

So aliam placentam means another cake or a different cake.

The adjective aliam does not by itself tell you much more than that it is not the same one. In context, it often suggests one more cake or another cake set aside.

A good way to parse it is like this:

• Avia ridens dicit = the grandmother, laughing, says
• se ad idem pistrinum cras redituram esse = that she will return to the same bakery tomorrow
• si pistor aliam placentam servaverit = if the baker has saved another cake

So the structure is:

• main statement: avia ridens dicit
• indirect statement: se ... redituram esse
• conditional clause: si pistor ... servaverit

That is a very common Latin pattern: a main verb of speaking, followed by an indirect statement, with an if-clause attached to it.