#!/usr/bin/env python
#
# mathmltest.py -- test the MathML support in eqn
#
# This script generates an HTML test page from a list of eqn equations.
# The test page will have putatively equivalent MathML in it.
#
# To use, capture the output in a file with extension .xhtml and view it with
# Firefox or some other MathML-capable browser. You must ensure that
# the browser ships .xhtml pages with Mime-Type:
# application/xhtml+xml, or the MathML will not render correctly.
# Apache does this.
#
# As of Firefox 1.5, some of these tests will have visual glitches including
# braces that don't stretch and botched radical signs. These reflect bugs in
# the Firefox display engine, not problems with the MathML translation.
import os, commands, tempfile
tests = (
("x + y", "Demonstrate binary operators and identifiers"),
("a sub 1", "Demonstrate subscripting."),
("b prime", "Demonstrate prime boxes."),
("x={-b +- sqrt{b sup 2 -4ac}} over 2a",
"Quadratic formula."),
("lim from {x -> pi /2} ( tan~x) sup{sin~2x}~=~1",
"Inline first example from the abstract of the Guide."),
('''
G(z)~mark =~ e sup { ln ~ G(z) }
~=~ exp left (
sum from k>=1 {S sub k z sup k} over k right )
~=~ prod from k>=1 e sup {S sub k z sup k /k}
''',
"Part 1 of the second (display) example from the abstract of the Guide."),
('''
lineup = left ( 1 + S sub 1 z +
{ S sub 1 sup 2 z sup 2 } over 2! + ... right )
left ( 1+ { S sub 2 z sup 2 } over 2
+ { S sub 2 sup 2 z sup 4 } over { 2 sup 2 cdot 2! }
+ ... right ) ...''',
"Part 2 of the second (display) example from the abstract of the Guide."),
('''
lineup = sum from m>=0 left (
sum from
pile { k sub 1 ,k sub 2 ,..., k sub m >=0
above
k sub 1 +2k sub 2 + ... +mk sub m =m}
{ S sub 1 sup {k sub 1} } over {1 sup k sub 1 k sub 1 ! } ~
{ S sub 2 sup {k sub 2} } over {2 sup k sub 2 k sub 2 ! } ~
...
{ S sub m sup {k sub m} } over {m sup k sub m k sub m ! }
right ) z sup m
''',
"Part 3 of the second (display) example from the abstract of the Guide."),
("x = 2 pi int sin ( omega t ) dt",
"Integral example from section 6 of the Guide."),
("A~=~left [ pile { a above b above c } ~~ pile { x above y above z } right ]",
"First pile example from section 17 of the Guide."),
("matrix { ccol { x sub i above y sub i } ccol { x sup 2 above y sup 2 }}",
"First matrix example from section 18 of the Guide."),
)
def filter_string(str, command):
fp = tempfile.NamedTemporaryFile(prefix="mathmltest")
fp.write(str + "\n")
fp.flush()
output = os.popen(command + " <" + fp.name, "r").read()
fp.close()
return output
print '''
Test page demonstrating eqn to MathML translation
This is a test page demonstrating eqn to MathML translation with
the -TMathML option. References to "the Guide" are to the 1976
description of eqn, Typesetting Mathematics - User\'s Guide
(Second Edition) by Brian Kernighan and Lorinda Cherry.
'''
for (test, explanation) in tests:
print "%s
" % explanation
mathml = filter_string(".EQ\n" + test + "\n.EN\n", "eqn -TMathML")
mathml = mathml.replace(".EQ\n", "").replace(".EN\n", "")
mathml = mathml.replace("