Historically, will was used in the simple future sense only in the second and third person, while shall was used in the first person. Today, that distinction is almost entirely lost, and the verb takes the same form in all persons and both numbers. Similarly, in the intent sense, will was historically used with the second and third person, while shall was reserved for the first person.
Historically, the present tense is will and the past tense is would.
See the usage note at shall.
Early Modern English had a past participle would which is now obsolete