Re: [NTG-context] Units of xpart and ypart of a pair in MetaFun

On 26 Nov 2020, at 16:09, Keith McKay wrote:

Hi,

I have been using xpart and ypart to extract these values from pairs of points in a path but I wasn't getting the correct result. I was expecting:

pair (2cm, 11cm) to give xpart 2 and ypart 11

As explained by various people, Metapost does not have dimensions. All lengths are implicit Postscript big points (72/inch). Variables like “cm” just add a multiplication factor to your expressions, at no point is a dimension stored inside Metapost. Your equation: a0 = (2cm,11cm) first expands into a0 = (2*28.34645,11*28.34645) because “cm” is a variable with a value (Its definition in plain.mp is "cm = 28.34645”) Then, the two expressions in the a0 equation are resolved before the assignment, so what you actually wrote at the statement level is a0 = (56.6929, 311.8096); At no point is there a “cm”-sized dimension. === Perhaps another option would be for you to do all your work without units, e.g. a0 = (2,11) % assume scaling will happen later and then in the end do the drawing on a scaled path: draw (pp scaled cm) … as that may be less confusing? If the precision is an issue, you could counter the loss of precision you could use implied millimeters instead of centimeters. Best wishes, Taco