World Rugby official rankings

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Rank | Team | Points |
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Alfred Wallace Rugby is a calculator for the rugby union world rankings based on the rules defined by World Rugby.

The formula is :

R1 : the first team (T1) rank

R2 : the second team (T2) rank

If T1 plays at home, then H = 3, else H = 0

RD = R1 + H - R2

If RD > 10, then RD = 10

If RD < -10, then RD = -10

S1 : the score of T1

S2 : the score of T2

SD = S1 - S2

If SD > 0, then P = (-10 - RD) / 10

If SD < 0, then P = (10 - RD) / 10

If SD = 0, then P = -RD / 10

If |SD| > 15, then P = 1.5 * P

If it's a World Cup match, then P = 2 * P

P is now the number of points that should be exchanged, add it to the rank of the winning team and
substract it from the rank of the losing one.

The official rules are explained here, or on the english wikipedia page. However, the formula is much easier to understand on the french or italian wikipedia pages.

There can be some slight differences (0,01) between the results of my calculator and the official updates on the World Rugby website. This is due to an arbitrary rounding or miscalculation on their part. You can see in the very example they produce that they are making a mistake by stating that Wales (76.92) and Scotland (76.36) exchanged 0.64 points and ending up having Wales at 77.57 = 76.92 + 0.65 . Maybe someone will notice one day ;)