Classic test cases
The classic cases scholars use to test inheritance calculation — every result here is real output from the Noor Bayan engine.
ʿAwl (6 → 7): husband + 2 full sisters
Input
Husband + Full sisters ×2
Engine output · Base 6 ← 7
Husband 3/7 42.9%
Full sisters 4/7 57.1%
Husband 1/2 + two sisters 2/3 exceed the estate, so the base rises 6 → 7.
al-Minbariyya (24 → 27): wife + 2 daughters + father + mother
Input
Wife + Daughters ×2 + Father + Mother
Engine output · Base 24 ← 27
Wife 1/9 11.1%
Daughters 16/27 59.3%
Father 4/27 14.8%
Mother 4/27 14.8%
The famous case ʿAlī was asked on the pulpit; ʿawl raises the base 24 → 27.
al-ʿUmariyya (1st form): husband + father + mother
Input
Husband + Father + Mother
Engine output
Husband 1/2 50%
Mother 1/6 16.7%
Father 1/3 33.3%
The mother takes one-third of the remainder after the husband (not of the whole).
al-ʿUmariyya (2nd form): wife + father + mother
Input
Wife + Father + Mother
Engine output
Wife 1/4 25%
Mother 1/4 25%
Father 1/2 50%
The second form: the mother takes one-third of the remainder after the wife.
Radd: mother + daughter
Input
Mother + Daughters
Engine output
Mother 1/4 25%
Daughters 3/4 75%
A surplus remained with no residuary, so it is returned to the two fixed sharers in proportion.
Ḥajb (blocking): father + son + paternal grandfather
Input
Father + Sons + Grandfather
Engine output
Father 1/6 16.7%
Sons 5/6 83.3%
Blocked: Grandfather
The father blocks the grandfather, so the grandfather does not inherit while the father is present.