ASCII Art¶
This file contains:
- AsciiArta simple implementation of an ASCII art object,
- ascii_art()a function to get the ASCII art representation of any object in Sage,
AUTHOR:
- Jean-Baptiste Priez (2013-04): initial version 
EXAMPLES:
sage: # needs sage.symbolic
sage: n = var('n')
sage: integrate(n^2/x, x)
n^2*log(x)
sage: ascii_art(integrate(n^2/x, x))
 2
n *log(x)
sage: ascii_art(integrate(n^2/(pi*x), x))
 2
n *log(x)
---------
    pi
sage: ascii_art(list(Partitions(6)))                                                # needs sage.combinat sage.libs.flint
[                                                       * ]
[                                                   **  * ]
[                                      ***      **  *   * ]
[                      ****       ***  *    **  **  *   * ]
[         *****  ****  *     ***  **   *    **  *   *   * ]
[ ******, *    , **  , *   , ***, *  , *  , **, * , * , * ]
>>> from sage.all import *
>>> # needs sage.symbolic
>>> n = var('n')
>>> integrate(n**Integer(2)/x, x)
n^2*log(x)
>>> ascii_art(integrate(n**Integer(2)/x, x))
 2
n *log(x)
>>> ascii_art(integrate(n**Integer(2)/(pi*x), x))
 2
n *log(x)
---------
    pi
>>> ascii_art(list(Partitions(Integer(6))))                                                # needs sage.combinat sage.libs.flint
[                                                       * ]
[                                                   **  * ]
[                                      ***      **  *   * ]
[                      ****       ***  *    **  **  *   * ]
[         *****  ****  *     ***  **   *    **  *   *   * ]
[ ******, *    , **  , *   , ***, *  , *  , **, * , * , * ]
This method ascii_art() could be automatically use by the display hook
manager activated by the magic function: %display ascii_art:
sage: from sage.repl.interpreter import get_test_shell
sage: shell = get_test_shell()
sage: shell.run_cell('%display ascii_art')
sage: shell.run_cell("i = var('i')")                                                # needs sage.symbolic
sage: shell.run_cell('sum(factorial(i)*x^i, i, 0, 10)')                             # needs sage.symbolic
         10           9          8         7        6        5       4      3...
3628800*x   + 362880*x  + 40320*x  + 5040*x  + 720*x  + 120*x  + 24*x  + 6*x...
...2
...+ 2*x  + x + 1
sage: shell.run_cell('3/(7*x)')                                                     # needs sage.symbolic
 3
---
7*x
sage: shell.run_cell('list(Compositions(5))')                                       # needs sage.combinat
[ *
[ *  **   *        *                   *
[ *  *   **  ***   *   **    *         *   **    *          *
[ *  *   *   *    **  **   ***  ****   *   *    **   ***    *    **     *
[ *, * , * , *  , * , *  , *  , *   , **, ** , ** , **  , ***, *** , ****,
      ]
      ]
      ]
      ]
***** ]
sage: shell.run_cell('%display simple')
sage: shell.quit()
>>> from sage.all import *
>>> from sage.repl.interpreter import get_test_shell
>>> shell = get_test_shell()
>>> shell.run_cell('%display ascii_art')
>>> shell.run_cell("i = var('i')")                                                # needs sage.symbolic
>>> shell.run_cell('sum(factorial(i)*x^i, i, 0, 10)')                             # needs sage.symbolic
         10           9          8         7        6        5       4      3...
3628800*x   + 362880*x  + 40320*x  + 5040*x  + 720*x  + 120*x  + 24*x  + 6*x...
<BLANKLINE>
...2
...+ 2*x  + x + 1
>>> shell.run_cell('3/(7*x)')                                                     # needs sage.symbolic
 3
---
7*x
>>> shell.run_cell('list(Compositions(5))')                                       # needs sage.combinat
[ *
[ *  **   *        *                   *
[ *  *   **  ***   *   **    *         *   **    *          *
[ *  *   *   *    **  **   ***  ****   *   *    **   ***    *    **     *
[ *, * , * , *  , * , *  , *  , *   , **, ** , ** , **  , ***, *** , ****,
<BLANKLINE>
      ]
      ]
      ]
      ]
***** ]
>>> shell.run_cell('%display simple')
>>> shell.quit()
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- class sage.typeset.ascii_art.AsciiArt(lines=[], breakpoints=[], baseline=None)[source]¶
- Bases: - CharacterArt- An Ascii art object is an object with some specific representation for printing. - INPUT: - lines– the list of lines of the representation of the ascii art object
- breakpoints– the list of points where the representation can be split
- baseline– the reference line (from the bottom)
 - EXAMPLES: - sage: i = var('i') # needs sage.symbolic sage: ascii_art(sum(pi^i/factorial(i)*x^i, i, 0, oo)) # needs sage.symbolic pi*x e - >>> from sage.all import * >>> i = var('i') # needs sage.symbolic >>> ascii_art(sum(pi**i/factorial(i)*x**i, i, Integer(0), oo)) # needs sage.symbolic pi*x e 
- sage.typeset.ascii_art.ascii_art(*obj, **kwds)[source]¶
- Return an ASCII art representation. - INPUT: - *obj– any number of positional arguments, of arbitrary type. The objects whose ascii art representation we want.
- sep– (optional)- 'sep=...'keyword argument (or- 'separator'). Anything that can be converted to ascii art (default: empty ascii art). The separator in-between a list of objects. Only used if more than one object given.
- baseline– (default: 0) the baseline for the object
- sep_baseline– (default: 0) the baseline for the separator
 - OUTPUT: - AsciiArtinstance- EXAMPLES: - sage: result = ascii_art(integral(exp(x+x^2)/(x+1), x)) # needs sage.symbolic ... sage: result # needs sage.symbolic / | | 2 | x + x | e | ------- dx | x + 1 | / - >>> from sage.all import * >>> result = ascii_art(integral(exp(x+x**Integer(2))/(x+Integer(1)), x)) # needs sage.symbolic ... >>> result # needs sage.symbolic / | | 2 | x + x | e | ------- dx | x + 1 | / - We can specify a separator object: - sage: ident = lambda n: identity_matrix(ZZ, n) sage: ascii_art(ident(1), ident(2), ident(3), sep=' : ') # needs sage.modules [1 0 0] [1 0] [0 1 0] [1] : [0 1] : [0 0 1] - >>> from sage.all import * >>> ident = lambda n: identity_matrix(ZZ, n) >>> ascii_art(ident(Integer(1)), ident(Integer(2)), ident(Integer(3)), sep=' : ') # needs sage.modules [1 0 0] [1 0] [0 1 0] [1] : [0 1] : [0 0 1] - We can specify the baseline: - sage: ascii_art(ident(2), baseline=-1) + ascii_art(ident(3)) # needs sage.modules [1 0][1 0 0] [0 1][0 1 0] [0 0 1] - >>> from sage.all import * >>> ascii_art(ident(Integer(2)), baseline=-Integer(1)) + ascii_art(ident(Integer(3))) # needs sage.modules [1 0][1 0 0] [0 1][0 1 0] [0 0 1] - We can determine the baseline of the separator: - sage: ascii_art(ident(1), ident(2), ident(3), sep=' -- ', sep_baseline=-1) # needs sage.modules [1 0 0] -- [1 0] -- [0 1 0] [1] [0 1] [0 0 1] - >>> from sage.all import * >>> ascii_art(ident(Integer(1)), ident(Integer(2)), ident(Integer(3)), sep=' -- ', sep_baseline=-Integer(1)) # needs sage.modules [1 0 0] -- [1 0] -- [0 1 0] [1] [0 1] [0 0 1] - If specified, the - sep_baselineoverrides the baseline of an ascii art separator:- sage: sep_line = ascii_art('\n'.join(' | ' for _ in range(6)), baseline=6) sage: ascii_art(*Partitions(6), separator=sep_line, sep_baseline=0) # needs sage.combinat sage.libs.flint | | | | | | | | | | * | | | | | | | | | ** | * | | | | | | *** | | ** | * | * | | | **** | | *** | * | ** | ** | * | * | ***** | **** | * | *** | ** | * | ** | * | * | * ****** | * | ** | * | *** | * | * | ** | * | * | * - >>> from sage.all import * >>> sep_line = ascii_art('\n'.join(' | ' for _ in range(Integer(6))), baseline=Integer(6)) >>> ascii_art(*Partitions(Integer(6)), separator=sep_line, sep_baseline=Integer(0)) # needs sage.combinat sage.libs.flint | | | | | | | | | | * | | | | | | | | | ** | * | | | | | | *** | | ** | * | * | | | **** | | *** | * | ** | ** | * | * | ***** | **** | * | *** | ** | * | ** | * | * | * ****** | * | ** | * | *** | * | * | ** | * | * | *