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

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Naor Movshovitz
Naor Movshovitz 2016-12-5
评论： Naor Movshovitz 2016-12-5
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?

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Walter Roberson
Walter Roberson 2016-12-5
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 个评论
Guillaume
Guillaume 2016-12-5
编辑：Guillaume 2016-12-5
... except that "interp1 calls griddedInterpolant" is not actually documented and so could be considered an implementation detail subject to change.
So it's guaranteed by the code as currently implemented but not by the documentation.
Naor Movshovitz
Naor Movshovitz 2016-12-5
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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