is interp1(x, v, x(k), mtd) == v(k) always true?

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is
interp1(x, v, x(k), mtd) == v(k)
always true or does it depend on method and/or type of x and v? Followup: is the answer documented?

Accepted Answer

Walter Roberson
Walter Roberson on 5 Dec 2016
Yes, guaranteed. interp1 calls griddedInterpolant to do the work and that routine says,
"This surface always passes through the sample values at the point locations."
  2 Comments
Naor Movshovitz
Naor Movshovitz on 5 Dec 2016
Accepted Walter's answer because it points in the right direction: griddedInterpolant. I think this answers my question although perhaps I should have emphasized more strongly what I was really asking: when the query point is a sample point, is the returned value bit-wise equal to the value at the sample point? The wording of the documentation still leaves this a little uncertain. The interpolant can "pass through the sample value" in the mathematical sense but still fail a == comparison.

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