How do you know if two quaternions are equal?

How do you know if two quaternions are equal?

2 Answers. I found out the answer. Just apply the quaternion to a 3-D vector. If the final result from q1 and q2 is the same, then the quaternion has “same direction”.

How do you compare quaternions in unity?

How to compare two quaternions?

1. bool RotationEquals(Quaternion r1, Quaternion r2)
2. {
3. float abs = Mathf. Abs(Quaternion. Dot(r1, r2));
4. if (abs >= 0. 9999999f)
5. return true;
6. return false;
7. }

How do quaternions compare?

The only (reasonable) way, I can think of, comparing two quaternions is by using the norm. double norm = Math. sqrt(s*s + i*i + j*j + k*k); In that case you could define, that a quaternion a is greater than a quaternion b iff the norm of a is greater than the norm of b.

What is a real quaternion?

The real quaternions form a unital ring wrt addition and multiplication as defined above. In fact, the ring of quaternions has another property: we can show that every element of H has a multiplicative inverse. Definition 5.2. Let q = q0 + q1i + q2j + q3k ∈ H. The norm of q is denoted by N(q) and given by.

How can I compare two quaternions for rotation?

If your two quaternions are q1 and q2, they represent the same rotation if either of these two conditions hold: Knowing this, you can write a fairly simplistic equality tester that suits your goal. Just because it hasn’t been mentioned.

Which is an example of the equal to logical operator?

Example 1. Using the “Equal to” operator with dates. You might be surprised to know that the Equal to logical operator cannot compare dates as easily as numbers. For example, if the cells A1 and A2 contain the date “12/1/2014”, the formula =A1=A2 will return TRUE exactly as it should.

How are quaternions stored to make sure they are the same?

If you want to make sure they’re the same rotation (rather than just orientation), then remove the absolute value. Quaternions are stored as 4 floats or doubles, often called x, y, z and w, where the first three represent an axis and w the degree of rotation around that axis.

How to write an’equal to’logical expression in Excel?

When writing an ‘equal to’ logical expression that compares a Boolean value and a number, you need to specifically point out for Excel that a non-numeric Boolean value should be treated as a number. You can do this by adding the double minus sign in front of a Boolean value or a cell reference, e. g. =A2=–TRUE or =A2=–B2.