Gri: RPN examples

- Chapters: 1: Introduction 2: Simple example 3: Invocation 4: Finer Control 5: X-Y Plots 6: Contour Plots 7: Image Plots 8: Examples 9: Gri Commands 10: Programming 11: Environment 12: Emacs Mode 13: History 14: Installation 15: Gri Bugs 16: Test Suite 17: Gri in Press 18: Acknowledgments 19: License Indices: Concepts Commands Variables | ### 10.9.8: rpn Examples Here are some reverse-polish expressions and the corresponding algebraic interpretations: ``{rpn 1 2 + 10 / }`' = (1+2)/10 ``{rpn .a. .b. + .c. + .d. / }`' = (.a.+.b.+.c.)/.d. ``{rpn e 2 / }`' = e/2 (Gri knows values of ``e'' and ``pi'') ``{rpn 23 sin 100 * 12 cos + }`' = cos(12) + 100sin(23) ``{rpn 5 2 power }`' = 25 ``{rpn 2 log exp }`' = exp(log 2) ``{rpn 2 ln exp10 }`' = 10^ln2 ``{rpn 1.7 floor }`' = 1 (rounds down to nearest integer. Note that the floor of -1.7 is -2) ``{rpn 10.1 2 remainder }`' = 0.1 (remainder of 10.1 after division by 2; see C function ``remainder(x,y)`') ``{rpn -10.1 2 remainder }`' = -0.1 ``{rpn -10.1 -2 remainder }`' = -0.1 ``{rpn .num. 10 > }`' = 1 if 10 exceeds .num., or 0 otherwise NOTES: The units of ``sin`', ``cos`', etc, are degrees, not radians. The scales of the plot are accessible to ``rpn`'. For example, with the command
      draw label "hi" at 10 20
  you draw the indicated string at the indicated location in user coordinates. To put it 0.15 centimetres to the right of this location and 0.1 centimetres lower, you could do as follows:
      draw label "\label" at \
          {rpn .x. xusertocm 0.15 + xcmtouser} \
          {rpn .y. yusertocm 0.10 - ycmtouser}
- (Note that the x and y scales have individual translations from "user" to "cm" coordinates.) Some conversion factors are built into ``rpn`'; ``cmtopt`' converts from centimetres to points (by dividing by 28.45; the conversion factor to inches is 72.27) while ``pttocm`' converts from points to centimetres. For example, here is how to label a data curve with a label placed near the last y-value of the data set:
      draw curve
      .y. = {rpn ..ylast.. yusertocm 0.5 - ycmtouser}
      draw label "Smoothed" at ..xlast.. .y.