UNPKG

algebrite

Version:

Computer Algebra System in Coffeescript

github.com/davidedc/Algebrite

davidedc/Algebrite

117 lines (79 loc) • 2.44 kB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
test_printlatex = -> run_test [ "printlatex(pi/2)", "\\frac{\\pi}{2}", "printlatex(-pi/2)", "-\\frac{\\pi}{2}", "printlatex(pi/(-2))", "-\\frac{\\pi}{2}", "printlatex(-pi/(-2))", "\\frac{\\pi}{2}", "printlatex((1/2)*pi)", "\\frac{\\pi}{2}", "printlatex((1/(-2))*pi)", "-\\frac{\\pi}{2}", # note that these two are different: # pi^(1/2) != pi^1/2 "printlatex(pi^(1/2))", "\\sqrt{\\pi}", "printlatex(1/x+x^3+1+1)", "2+\\frac{1}{x}+x^3", "lastlatexprint == \"2+\\frac{1}{x}+x^3\"", "1", "printlatex(quote(1/x+1+1))", "\\frac{1}{x}+1+1", "printlatex(quote(defint(a,y,-sqrt(1-x^2),sqrt(1-x^2))))", "\\int^{\\sqrt{1-x^2} }_{-\\sqrt{1-x^2} } \\! a \\, \\mathrm{d} y", "printlatex(1/(x+1))", "\\frac{1}{1+x}", "printlatex(1/(x+1)^2)", "\\frac{1}{(1+x)^2}", "printlatex(quote(1/(2*a*(x+1))))", "\\frac{1}{2a(x+1)}", "printlatex(j^k^l^m)", "j^{k^{l^m}}", "printlatex(dot(a,b))", "a \\cdot b", "printlatex(inner(a,b))", "a \\cdot b", "printlatex(inv(a))", "{a}^{-1}", "printlatex(inv(a+1))", "{(1+a)}^{-1}", "printlatex(12x^11)", "12x^{11}", # tricky when there are two consecutive # numbers, can't just leave a space there. "printlatex(5^2 * 3^y)", "25 \\cdot 3^y", "printlatex(5^2 * 3^(1/2))", "25\\sqrt{3}", "printlatex(5^2 * 3^(2/3))", "25\\sqrt[3]{3^2}", "printlatex([[0,1],[1,0]])", "\\begin{bmatrix} 0 & 1 \\\\ 1 & 0 \\end{bmatrix}", "printlatex([0,1])", "\\begin{bmatrix} 0 & 1 \\end{bmatrix}", "printlatex([[0,1,2],[3,4,5]])", "\\begin{bmatrix} 0 & 1 & 2 \\\\ 3 & 4 & 5 \\end{bmatrix}", "printlatex([[a]])", "\\begin{bmatrix} a \\end{bmatrix}", "printlatex([[0],[1]])", "\\begin{bmatrix} 0 \\\\ 1 \\end{bmatrix}", "printlatex(quote(sum((-1)^k * (1/(2*k + 1)),k,0,100)*4))", "\\sum_{k=0}^{100}{\\frac{(-1)^k}{(2k+1)}}4", "printlatex(quote(2*product(4*k^2/(4*k^2-1),k,1,100)))", "2\\prod_{k=1}^{100}{\\frac{4k^2}{(4k^2-1)}}", "printlatex(quote(a==b))", "{a} = {b}", "printlatex(quote(a<b))", "{a} < {b}", "printlatex(quote(a<=b))", "{a} \\leq {b}", "printlatex(quote(a>b))", "{a} > {b}", "printlatex(quote(a>=b))", "{a} \\geq {b}", "printlatex(quote(f(x)=test(x<3,-x-4,3<=x,x*x+7,120/x+5)))", "f(x)=\\left\\{ \\begin{array}{ll}{-x-4} & if & {x} < {3} \\\\\\\\{xx+7} & if & {3} \\leq {x} \\\\\\\\{\\frac{120}{x}+5} & otherwise \\end{array} \\right.", ]