#+Title: a collection of examples for ob-maxima tests
#+OPTIONS: ^:nil

* Simple tests
  :PROPERTIES:
  :ID:       b5842ed4-8e8b-4b18-a1c9-cef006b6a6c8
  :END:
#+begin_src maxima :var s=4 :results silent
print(s);
#+end_src

Pass a string
#+begin_src maxima :var fun="sin(x)" :var q=2 :results silent
print(diff(fun, x, q))$
#+end_src

* Graphic output
Graphic output
#+begin_src maxima  :var a=0.5 :results graphics :file maxima-test-sin.png
plot2d(sin(a*x), [x, 0, 2*%pi])$
#+end_src

#+begin_src maxima  :results graphics :file maxima-test-3d.png
plot3d (2^(-u^2 + v^2), [u, -3, 3], [v, -2, 2])$
#+end_src
* Output to a file
Output to a file
#+begin_src maxima :file maxima-test-ouput.out
for i:1 thru 10 do print(i)$
#+end_src
* List input
  :PROPERTIES:
  :ID:       b5561c6a-73cd-453a-ba5e-62ad84844de6
  :END:
Simple list as an input
#+begin_src maxima :var a=(list 1 2 3) :results silent :results verbatim
print(a)$
#+end_src

#+begin_src maxima :var a=(list 1 (list 1 2) 3) :results silent :results verbatim
print(a+1);
#+end_src

* Table input
  :PROPERTIES:
  :ID:       400ee228-6b12-44fd-8097-7986f0f0db43
  :END:
#+tblname: test_tbl_col
| 1.0 |
| 2.0 |

#+tblname: test_tbl_row
| 1.0 | 2.0 |

#+begin_src maxima :var s=test_tbl_col :results silent :results verbatim
print(s+1.0);
#+end_src

#+begin_src maxima :var s=test_tbl_row :results silent :results verbatim
print(s+1.0);
#+end_src

Matrix
#+tblname: test_tbl_mtr 
| 1.0 | 1.0 |

#+begin_src maxima :var s=test_tbl_mtr :results silent :results verbatim
ms: apply(matrix, s);
print(ms);
#+end_src

* Construct a table from the output
  :PROPERTIES:
  :ID:       cc158527-b867-4b1d-8ae0-b8c713a90fd7
  :END:
#+begin_src maxima :var s=test_tbl_mtr :results silent
m: genmatrix (lambda([i,j], i+j-1), 3, 3)$
write_data(m, "/dev/stdout")$
#+end_src

* Latex output
#+begin_src maxima  :exports both :results latex :results verbatim
assume(x>0);
tex(ratsimp(diff(%e^(a*x), x)));
#+end_src

#+results:
#+BEGIN_LaTeX
$$a\,e^{a\,x}$$
#+END_LaTeX