How to activate parent constraint via API the same way as Activate button does?

I am trying to call the same function as Activate button of the Parent Constraint component but it seems there’s no such method in the API:

Guess the code is hidden in the component’s editor script. Was trying to achieve the same result using SetTranslationOffset and SetRotationOffset which looked pretty straight forward but ended up with objects jump a bit when the function is called:

var positionDelta = parentConstraint.transform.position - source.position;
var rotationDelta = Quaternion.Inverse(source.rotation) * parentConstraint.transform.rotation;
parentConstraint.SetTranslationOffset(0, positionDelta);
parentConstraint.SetRotationOffset(0, rotationDelta.eulerAngles);

So I had the same problem, and it seems like the ‘jump’ is due to the constraintTransform’s world rotation (the bigger rotation the bigger gap).

This worked for me:

parentConstraint.SetTranslationOffset(0, Quaternion.Inverse(constraintTransform.rotation) * positionDelta);

After you have added all your sources:

 //This does the equivalent of pressing the "Activate" button
        List<ConstraintSource> sources = new List<ConstraintSource>(constraint.sourceCount);
        for (int i = 0; i < sources.Count; i++)
            Transform sourceTransform = sources*.sourceTransform;*

Vector3 positionOffset = sourceTransform.InverseTransformPoint( constrainedTransform.position);
Quaternion rotationOffset = Quaternion.Inverse(sourceTransform.rotation) * transform.rotation;
constraint.SetTranslationOffset(i, positionOffset);
constraint.SetRotationOffset(i, rotationOffset.eulerAngles);

//And remember to turn it on!
constraint.weight = 1f;//Master weight

constraint.constraintActive = true;

Something that’s not addressed by the other comments so far: If there’s scaling involved, you have to explicitly ignore it when transforming for your TranslationOffset. That is:

Matrix4x4 inverse = Matrix4x4.TRS(constraintTransform.position, constraintTransform.rotation, new Vector3(1,1,1)).inverse;
parentConstraint.SetTranslationOffset(0, inverse.MultiplyPoint3x4(parentConstraint.transform.position));
parentConstraint.SetRotationOffset(0, (Quaternion.Inverse(constraintTransform.rotation) * parentConstraint.transform.rotation).eulerAngles);