// Swedish braille tests for the basic mathml tags // These tests are from the Swedish braille authority's publication "Punktskriftens skrivregeler för matematik och naturvetenskap" // https://www.mtm.se/globalassets/punktskriftsnamnden/punktskriftens_skrivregler_matematik.pdf use crate::common::*; #[test] fn ex_1_4() { let expr= r#"

a > o ≫ b

"#; test_braille("Swedish", expr, "⠁⠀⠼⠕⠀⠕⠀⠼⠕⠕⠀⠃"); } // CHAPTER 5 #[test] fn ex_5_1() { let expr= r#"

5 + 12

"#; test_braille("Swedish", expr, "⠼⠑⠀⠲⠀⠼⠁⠃"); } #[test] fn ex_5_2() { let expr= r#"

9,99 + 0,001

"#; test_braille("Swedish", expr, "⠼⠊⠂⠊⠊⠀⠲⠀⠼⠚⠂⠚⠚⠁"); } #[test] fn ex_5_3() { let expr= r#"

1 / 2 + 1 / 2

"#; test_braille("Swedish", expr, "⠼⠁⠌⠼⠃⠀⠲⠀⠼⠁⠌⠼⠃"); } #[test] fn ex_5_4() { let expr= r#"

y = 5 + x

"#; test_braille("Swedish", expr, "⠽⠀⠶⠀⠼⠑⠀⠲⠀⠭"); } #[test] fn ex_5_5() { let expr= r#"

613 - 221

"#; test_braille("Swedish", expr, "⠼⠋⠁⠉⠀⠤⠀⠼⠃⠃⠁"); } #[test] fn ex_5_6() { let expr= r#"

10,1 - 3,05

"#; test_braille("Swedish", expr, "⠼⠁⠚⠂⠁⠀⠤⠀⠼⠉⠂⠚⠑"); } #[test] fn ex_5_7() { let expr= r#"

3 \frac{1}{4} - 1 \frac{3}{4}

"#; test_braille("Swedish", expr, "⠼⠉⠼⠁⠳⠼⠙⠀⠤⠀⠼⠁⠼⠉⠳⠼⠙"); } #[test] fn ex_5_8() { let expr= r#"

0,5 + 3,4 + 6 - 7,5 - 0,02

"#; test_braille("Swedish", expr, "⠼⠚⠂⠑⠀⠲⠀⠼⠉⠂⠙⠀⠲⠀⠼⠋⠀⠤⠀⠼⠛⠂⠑⠀⠤⠀⠼⠚⠂⠚⠃"); } #[test] fn ex_5_9() { let expr= r#"

α \pm 2 π

"#; test_braille("Swedish", expr, "⠰⠁⠀⠨⠲⠤⠀⠼⠃⠰⠏"); } #[test] fn ex_5_10() { let expr= r#"

15 \cdot 13

"#; test_braille("Swedish", expr, "⠼⠁⠑⠀⠻⠄⠀⠼⠁⠉"); } #[test] fn ex_5_11() { let expr= r#"

4.5 \cdot 1.4

"#; test_braille("Swedish", expr, "⠼⠙⠄⠑⠀⠻⠄⠀⠼⠁⠄⠙"); } #[test] fn ex_5_12() { let expr= r#"

2 a b \cdot 2 a b \cdot 2 a b

"#; test_braille("Swedish", expr, "⠼⠃⠱⠁⠃⠀⠻⠄⠀⠼⠃⠱⠁⠃⠀⠻⠄⠀⠼⠃⠱⠁⠃"); } #[test] fn ex_5_13() { let expr= r#"

r \cdot n = s \cdot n

"#; // FIXED: added spaces around · because that is in the TeX list of binary ops -- it is also that way in the spec test_braille("Swedish", expr, "⠨⠗⠀⠨⠻⠄⠀⠨⠝⠀⠶⠀⠨⠎⠀⠨⠻⠄⠀⠨⠝"); } #[test] fn ex_5_14() { let expr= r#"

LET C = A * B

"#; test_braille("Swedish", expr, "⠠⠠⠇⠑⠞⠀⠠⠉⠀⠶⠀⠠⠁⠔⠠⠃"); } #[test] fn ex_5_15() { let expr= r#"

24 \times 36

"#; test_braille("Swedish", expr, "⠼⠃⠙⠀⠻⠭⠀⠼⠉⠋"); } #[test] fn ex_5_16() { let expr= r#"

\frac{231}{7}

"#; test_braille("Swedish", expr, "⠼⠃⠉⠁⠳⠼⠛"); } #[test] fn ex_5_17() { let expr= r#"

\frac{0,64}{0,08}

"#; test_braille("Swedish", expr, "⠼⠚⠂⠋⠙⠳⠼⠚⠂⠚⠓"); } #[test] fn ex_5_18() { let expr= r#"

0,2 / 0,004

"#; test_braille("Swedish", expr, "⠼⠚⠂⠃⠌⠼⠚⠂⠚⠚⠙"); } #[test] fn ex_5_19() { let expr= r#"

Ritningen var i skala 1 : 100

"#; test_braille("Swedish", expr, "⠠⠗⠊⠞⠝⠊⠝⠛⠑⠝⠀⠧⠁⠗⠀⠊⠀⠎⠅⠁⠇⠁⠀⠼⠁⠒⠼⠁⠚⠚"); } // CHAPTER 6 #[test] fn ex_6_1() { let expr= r#"

\frac{x}{2} = 9

"#; test_braille("Swedish", expr, "⠭⠳⠼⠃⠀⠶⠀⠼⠊"); } #[test] fn ex_6_2() { let expr= r#"

5 / 5 = 1

"#; test_braille("Swedish", expr, "⠼⠑⠌⠼⠑⠀⠶⠀⠼⠁"); } #[test] fn ex_6_3() { let expr= r#"

\frac{3}{4} + \frac{1}{3} = \frac{9}{12} + \frac{4}{12} = \frac{13}{12}

"#; test_braille("Swedish", expr, "⠼⠉⠳⠼⠙⠀⠲⠀⠼⠁⠳⠼⠉⠀⠶⠀⠼⠊⠳⠼⠁⠃⠀⠲⠀⠼⠙⠳⠼⠁⠃⠀⠶⠀⠼⠁⠉⠳⠼⠁⠃"); } #[test] fn ex_6_4() { let expr= r#"

\frac{(x + 1)}{(x - 1)}

"#; test_braille("Swedish", expr, "⠦⠭⠲⠼⠁⠴⠳⠦⠭⠤⠼⠁⠴"); } #[test] fn ex_6_5() { let expr= r#"

\frac{x + 1}{x - 1}

"#; test_braille("Swedish", expr, "⠿⠦⠭⠲⠼⠁⠳⠭⠤⠼⠁⠿⠴"); } #[test] fn ex_6_6() { let expr= r#"

2 \frac{a}{b} = \frac{2 a}{b}

"#; // FIXED: the example made both fractions have start/end indicators, but the first one doesn't need them and so they were removed from the output test_braille("Swedish", expr, "⠼⠃⠱⠁⠳⠃⠀⠶⠀⠿⠦⠼⠃⠱⠁⠳⠃⠿⠴"); } #[test] fn ex_6_7() { let expr= r#"

\frac{\lg x}{10} = 0,1 \lg x

"#; // FIXED: removed space before "lg" as that is not *required* in braille test_braille("Swedish", expr, "⠿⠦⠇⠛⠀⠭⠳⠼⠁⠚⠿⠴⠀⠶⠀⠼⠚⠂⠁⠇⠛⠀⠭"); } #[test] fn ex_6_8() { let expr= r#"

\lg \frac{x}{10} = \lg x - 1

"#; test_braille("Swedish", expr, "⠇⠛⠿⠦⠭⠳⠼⠁⠚⠿⠴⠀⠶⠀⠇⠛⠀⠭⠀⠤⠀⠼⠁"); } #[test] fn ex_6_9() { let expr= r#"

3 \frac{1}{4} - 1 \frac{3}{4} = 2 \frac{5}{4} - 1 \frac{3}{4} = 1 \frac{2}{4} = 1 \frac{1}{2}

"#; test_braille("Swedish", expr, "⠼⠉⠼⠁⠳⠼⠙⠀⠤⠀⠼⠁⠼⠉⠳⠼⠙⠀⠶⠀⠼⠃⠼⠑⠳⠼⠙⠀⠤⠀⠼⠁⠼⠉⠳⠼⠙⠀⠶⠀⠼⠁⠼⠃⠳⠼⠙⠀⠶⠀⠼⠁⠼⠁⠳⠼⠃"); } #[test] fn ex_6_10() { let expr= r#"

3 1 / 4 - 1 3 / 4 = 2 5 / 4 - 1 3 / 4 = 1 2 / 4 = 1 1 / 2

"#; test_braille("Swedish", expr, "⠼⠉⠀⠼⠁⠌⠼⠙⠀⠤⠀⠼⠁⠀⠼⠉⠌⠼⠙⠀⠶⠀⠼⠃⠀⠼⠑⠌⠼⠙⠀⠤⠀⠼⠁⠀⠼⠉⠌⠼⠙⠀⠶⠀⠼⠁⠀⠼⠃⠌⠼⠙⠀⠶⠀⠼⠁⠀⠼⠁⠌⠼⠃"); } #[test] fn ex_6_11() { let expr= r#"

\frac{13 \cdot 7}{2}

"#; // FIXED: removed spacing around ⋅ (dot multiply) in numerator test_braille("Swedish", expr, "⠿⠦⠼⠁⠉⠻⠄⠼⠛⠳⠼⠃⠿⠴"); } #[test] fn ex_6_12() { let expr= r#"

\frac{55 + (- 18) \cdot 2 - (- 63)}{(- 3) - (- 7)}

"#; // FIXED: removed spacing around ⋅ (dot multiply) in numerator [adding space here makes no sense because if anything "-" should have space] // FIXED: removed spacing around fraction line sign (⠳) test_braille("Swedish", expr, "⠿⠦⠼⠑⠑⠲⠦⠤⠼⠁⠓⠴⠻⠄⠼⠃⠤⠦⠤⠼⠋⠉⠴⠳⠦⠤⠼⠉⠴⠤⠦⠤⠼⠛⠴⠿⠴"); } #[test] fn ex_6_13() { let expr= r#"

\frac{n (n - 1) \dots (n - k + 1)}{k!}

"#; test_braille("Swedish", expr, "⠿⠦⠝⠦⠝⠤⠼⠁⠴⠀⠄⠄⠄⠀⠦⠝⠤⠅⠲⠼⠁⠴⠳⠅⠖⠿⠴"); } #[test] fn ex_6_14() { let expr= r#"

P (A) = \frac{Number of outcomes in A}{Total number of outcomes}

"#; // FIXED: removed spaces around fraction line (⠳) test_braille("Swedish", expr, "⠠⠏⠦⠠⠁⠴⠀⠶⠀⠿⠦⠠⠝⠥⠍⠃⠑⠗⠀⠕⠋⠀⠕⠥⠞⠉⠕⠍⠑⠎⠀⠊⠝⠀⠠⠁⠳⠠⠞⠕⠞⠁⠇⠀⠝⠥⠍⠃⠑⠗⠀⠕⠋⠀⠕⠥⠞⠉⠕⠍⠑⠎⠿⠴"); } #[test] fn ex_6_15() { let expr= r#"

b_{0} + \frac{a_{1}}{b_{1} + \frac{a_{2}}{b_{2} + \dots + \frac{a_{n}}{b_{n}}}}

"#; // FIXED: removed spacing around "+"s in continued fraction (left spaces in around ellipsis) test_braille("Swedish", expr, "⠃⠣⠼⠚⠀⠲⠀⠿⠦⠁⠣⠼⠁⠳⠃⠣⠼⠁⠲⠿⠦⠁⠣⠼⠃⠳⠃⠣⠼⠃⠲⠀⠄⠄⠄⠀⠲⠁⠣⠝⠳⠃⠣⠝⠿⠴⠿⠴"); } #[test] fn ex_6_16() { let expr= r#"

z = \frac{\frac{7 x - 6 y}{5 x + 8 y}}{\frac{7 x - 6 y}{8 y + 5 x}}

"#; // FIXED: removed spacing around complex fraction line sign (⠳⠳) test_braille("Swedish", expr, "⠵⠀⠶⠀⠿⠦⠼⠛⠭⠤⠼⠋⠽⠳⠼⠑⠭⠲⠼⠓⠽⠿⠴⠳⠳⠿⠦⠼⠛⠭⠤⠼⠋⠽⠳⠼⠓⠽⠲⠼⠑⠭⠿⠴"); } #[test] fn ex_6_17() { let expr= r#"

z = \frac{1 + \frac{7 x - 6 y}{5 x + 8 y}}{\frac{7 x - 6 y}{8 y + 5 x}}

"#; // FIXED: removed spacing around complex fraction line sign (⠳⠳) test_braille("Swedish", expr, "⠵⠀⠶⠀⠿⠦⠼⠁⠲⠿⠦⠼⠛⠭⠤⠼⠋⠽⠳⠼⠑⠭⠲⠼⠓⠽⠿⠴⠳⠳⠿⠦⠼⠛⠭⠤⠼⠋⠽⠳⠼⠓⠽⠲⠼⠑⠭⠿⠴⠿⠴"); } #[test] fn ex_6_18() { let expr= r#"

\frac{x + y}{6 x} / \frac{x + y}{2 x} = \frac{1}{3}

"#; // FIXED: removed spacing around complex fraction line sign (⠌⠌) test_braille("Swedish", expr, "⠿⠦⠭⠲⠽⠳⠼⠋⠭⠿⠴⠌⠌⠿⠦⠭⠲⠽⠳⠼⠃⠭⠿⠴⠀⠶⠀⠼⠁⠳⠼⠉"); } #[test] fn ex_6_19() { // FIXED: Added non-breaking spaces around the text let expr= r#"

\frac{\frac{9}{6}}{3}, \frac{9}{6} / 3 och \frac{9 / 6}{3} betecknar talet \frac{1,5}{3}

"#; // FIXED: removed spacing around complex fraction line signs (⠳⠳ and ⠌⠌) test_braille("Swedish", expr, "⠿⠦⠼⠊⠳⠼⠋⠳⠳⠼⠉⠿⠴⠂⠀⠿⠦⠼⠊⠳⠼⠋⠌⠌⠼⠉⠿⠴⠀⠕⠉⠓⠀⠿⠦⠼⠊⠌⠼⠋⠳⠳⠼⠉⠿⠴⠀⠃⠑⠞⠑⠉⠅⠝⠁⠗⠀⠞⠁⠇⠑⠞⠀⠼⠁⠂⠑⠳⠼⠉"); } #[test] fn ex_6_20() { let expr= r#"

\frac{a + b}{a - b} = \frac{\tan \frac{α + β}{2}}{\tan \frac{α - β}{2}}

"#; // FIXED: removed spacing around complex fraction line sign (⠳⠳) test_braille("Swedish", expr, "⠿⠦⠁⠲⠃⠳⠁⠤⠃⠿⠴⠀⠶⠀⠿⠦⠞⠁⠝⠿⠦⠰⠁⠲⠰⠃⠳⠼⠃⠿⠴⠳⠳⠞⠁⠝⠿⠦⠰⠁⠤⠰⠃⠳⠼⠃⠿⠴⠿⠴"); } #[test] fn ex_6_21() { // FIXED: added 'intent' to disambiguate let expr= r#"

(\binom{n}{k}) = \frac{n!}{(n - k)! k!}

"#; test_braille("Swedish", expr, "⠦⠝⠘⠳⠅⠴⠀⠶⠀⠿⠦⠝⠖⠳⠦⠝⠤⠅⠴⠖⠅⠖⠿⠴"); } #[test] fn ex_6_21_mfrac() { let expr= r#"

(\begin{matrix} n \\ k \end{matrix}) = \frac{n!}{(n - k)! k!}

"#; test_braille("Swedish", expr, "⠦⠝⠘⠳⠅⠴⠀⠶⠀⠿⠦⠝⠖⠳⠦⠝⠤⠅⠴⠖⠅⠖⠿⠴"); } // CHAPTER 7 #[test] fn ex_7_1() { let expr= r#"

{(2^{5})}^{3} = 2^{15}

"#; test_braille("Swedish", expr, "⠦⠼⠃⠬⠼⠑⠴⠬⠼⠉⠀⠶⠀⠼⠃⠬⠼⠁⠑"); } #[test] fn ex_7_2() { let expr= r#"

x^{2} y \cdot x^{3} y^{2}

"#; test_braille("Swedish", expr, "⠭⠬⠼⠃⠽⠀⠻⠄⠀⠭⠬⠼⠉⠽⠬⠼⠃"); } #[test] fn ex_7_3() { let expr= r#"

f^{(2 m - 1)}

"#; test_braille("Swedish", expr, "⠋⠬⠦⠼⠃⠍⠤⠼⠁⠴"); } #[test] fn ex_7_4() { let expr= r#"

10^{- 12}

"#; test_braille("Swedish", expr, "⠼⠁⠚⠬⠤⠼⠁⠃"); } #[test] fn ex_7_5() { let expr= r#"

z^{n} = {(r e^{i θ})}^{n} = r^{n} e^{i n θ}

"#; test_braille("Swedish", expr, "⠵⠬⠝⠀⠶⠀⠦⠗⠑⠘⠬⠊⠰⠓⠱⠴⠬⠝⠀⠶⠀⠗⠬⠝⠑⠘⠬⠊⠝⠰⠓⠱"); } #[test] fn ex_7_6() { let expr= r#"

e^{- (\frac{π}{2} + 2 n π) + i \ln 2}

"#; test_braille("Swedish", expr, "⠑⠘⠬⠤⠦⠰⠏⠳⠼⠃⠲⠼⠃⠝⠰⠏⠴⠲⠊⠇⠝⠼⠃⠱"); } #[test] fn ex_7_7() { let expr= r#"

2^{2^{n - 1}}

"#; test_braille("Swedish", expr, "⠼⠃⠬⠼⠃⠘⠬⠝⠤⠼⠁⠱"); } #[test] fn ex_7_8() { let expr= r#"

{}^{a}\log x + {}^{a}\log y = {}^{a}\log x y

"#; test_braille("Swedish", expr, "⠬⠁⠇⠕⠛⠀⠭⠀⠲⠀⠬⠁⠇⠕⠛⠀⠽⠀⠶⠀⠬⠁⠇⠕⠛⠀⠭⠽"); } #[test] fn ex_7_9() { let expr= r#"

e^{- x^{2} / 4 a - y^{2} / 4 b - z^{2} / 4 c}

"#; test_braille("Swedish", expr, "⠑⠘⠬⠤⠭⠬⠼⠃⠌⠼⠙⠱⠁⠤⠽⠬⠼⠃⠌⠼⠙⠱⠃⠤⠵⠬⠼⠃⠌⠼⠙⠱⠉⠱"); } #[test] fn ex_7_10() { let expr= r#"

x_{1}, x_{2}, \dots, x_{m - 1}

"#; test_braille("Swedish", expr, "⠭⠣⠼⠁⠂⠀⠭⠣⠼⠃⠂⠀⠄⠄⠄⠂⠀⠭⠘⠣⠍⠤⠼⠁⠱"); } #[test] fn ex_7_11() { let expr= r#"

{}_{92}^{238}U

"#; test_braille("Swedish", expr, "⠣⠼⠊⠃⠬⠼⠃⠉⠓⠠⠥"); } #[test] fn ex_7_12() { let expr= r#"

{S O}_{4}^{2 -}

"#; test_braille("Swedish", expr, "⠠⠠⠎⠕⠣⠼⠙⠘⠬⠼⠃⠤⠱"); } #[test] fn ex_7_13() { let expr= r#"

{}_{1}^{1}H_{1}^{+}

"#; test_braille("Swedish", expr, "⠣⠼⠁⠬⠼⠁⠠⠓⠣⠼⠁⠬⠲"); } #[test] fn ex_7_14() { let expr= r#"

\lim_{n \to \infty} a_{n} existerar \Leftrightarrow \lim_{\begin{array}{l} m \to \infty \\ n \to \infty \end{array}} | a_{m} - a_{n} | = 0

"#; // FIXED: added space around '-' (⠤) test_braille("Swedish", expr, "⠇⠊⠍⠘⠣⠣⠝⠒⠕⠼⠿⠱⠀⠁⠣⠝⠀⠑⠭⠊⠎⠞⠑⠗⠁⠗⠀⠪⠶⠕⠀⠇⠊⠍⠘⠣⠣⠍⠒⠕⠼⠿⠱⠘⠣⠣⠝⠒⠕⠼⠿⠱⠀⠸⠁⠣⠍⠀⠤⠀⠁⠣⠝⠸⠀⠶⠀⠼⠚"); } #[test] fn ex_7_15() { let expr= r#"

a^{- b}

"#; test_braille("Swedish", expr, "⠁⠬⠤⠃"); } #[test] fn ex_7_16() { let expr= r#"

a \bar{b}

"#; test_braille("Swedish", expr, "⠁⠃⠬⠬⠤"); } #[test] fn ex_7_17() { let expr= r#"

\tilde{y} = y

"#; test_braille("Swedish", expr, "⠽⠬⠬⠒⠀⠶⠀⠽"); } #[test] fn ex_7_18() { let expr= r#"

\underline{\underline{v}} = \underline{v}

"#; test_braille("Swedish", expr, "⠧⠣⠣⠶⠀⠶⠀⠧⠣⠣⠤"); } #[test] fn ex_7_19() { let expr= r#"

{\hat{σ}}^{2} = s^{2}

"#; test_braille("Swedish", expr, "⠰⠎⠬⠬⠖⠬⠼⠃⠀⠶⠀⠎⠬⠼⠃"); } #[test] fn ex_7_20() { let expr= r#"

{\bar{ω}}^{2} = \frac{K}{M}

"#; test_braille("Swedish", expr, "⠰⠺⠬⠬⠤⠬⠼⠃⠀⠶⠀⠠⠅⠳⠠⠍"); } #[test] fn ex_7_21() { let expr= r#"

b * a = \bar{a * b}

"#; test_braille("Swedish", expr, "⠃⠔⠁⠀⠶⠀⠘⠁⠔⠃⠱⠬⠬⠤"); } #[test] fn ex_7_22() { let expr= r#"

\vec{A B}

"#; test_braille("Swedish", expr, "⠘⠠⠠⠁⠃⠱⠬⠬⠒⠕"); } #[test] fn ex_7_23() { let expr= r#"

\hat{x + y} = \hat{x} + \hat{y}

"#; // FIXED: added spaces around "+" (⠲) on the lefthand side of '=' to be consistent test_braille("Swedish", expr, "⠘⠭⠀⠲⠀⠽⠱⠬⠬⠖⠀⠶⠀⠭⠬⠬⠖⠀⠲⠀⠽⠬⠬⠖"); } #[test] fn ex_7_24() { // FIXED: this was changed to match what 7.24 in the spec (both mathml and braille) let expr= r#"

{}_{1}^{2}{\underset{ˇ}{\hat{x}}}_{a}^{b}

"#; test_braille("Swedish", expr, "⠣⠼⠁⠬⠼⠃⠭⠣⠣⠶⠬⠬⠖⠣⠁⠬⠃"); } #[test] fn ex_7_24_munderover() { // This uses the "correct" MathML let expr= r#"

{}_{1}^{2}{x_{ˇ}^{^}}_{a}^{b}

"#; test_braille("Swedish", expr, "⠣⠼⠁⠬⠼⠃⠭⠣⠣⠶⠬⠬⠖⠣⠁⠬⠃"); } #[test] fn ex_7_25() { let expr= r#"

\sqrt{25} = 5

"#; test_braille("Swedish", expr, "⠩⠼⠃⠑⠀⠶⠀⠼⠑"); } #[test] fn ex_7_26() { let expr= r#"

\sqrt{1,5}

"#; test_braille("Swedish", expr, "⠩⠼⠁⠂⠑"); } #[test] fn ex_7_27() { let expr= r#"

\sqrt{| 5 c_{n} |}

"#; test_braille("Swedish", expr, "⠩⠸⠼⠑⠱⠉⠣⠝⠸"); } #[test] fn ex_7_28() { let expr= r#"

\sqrt{\frac{a}{2}} = \sqrt{(\frac{a}{2})}

"#; test_braille("Swedish", expr, "⠘⠩⠁⠳⠼⠃⠱⠀⠶⠀⠩⠦⠁⠳⠼⠃⠴"); } #[test] fn ex_7_29() { let expr= r#"

r = \frac{a}{4} \sqrt{\frac{50 + 22 \sqrt{5}}{5}}

"#; // FIXED: removed spaces around fraction line (⠳) test_braille("Swedish", expr, "⠗⠀⠶⠀⠁⠳⠼⠙⠩⠿⠦⠼⠑⠚⠲⠼⠃⠃⠩⠼⠑⠳⠼⠑⠿⠴"); } #[test] fn ex_7_30() { let expr= r#"

s_{a} = \sqrt{b c [1 - {(\frac{a}{b} + c)}^{2}]}

"#; // FIXED: added space around "+" (⠲) -- it's on the baseline and there is a space around the "-" test_braille("Swedish", expr, "⠎⠣⠁⠀⠶⠀⠘⠩⠃⠉⠷⠼⠁⠀⠤⠀⠦⠁⠳⠃⠀⠲⠀⠉⠴⠬⠼⠃⠾⠱"); } #[test] fn ex_7_31() { let expr= r#"

\sqrt[3]{27} = 3

"#; test_braille("Swedish", expr, "⠬⠼⠉⠩⠼⠃⠛⠀⠶⠀⠼⠉"); } #[test] fn ex_7_32() { let expr= r#"

\sqrt[n]{a} \sqrt[m]{a} = \sqrt[m n]{a^{m + n}}

"#; test_braille("Swedish", expr, "⠬⠝⠩⠁⠱⠬⠍⠩⠁⠀⠶⠀⠘⠬⠍⠝⠱⠩⠁⠘⠬⠍⠲⠝⠱"); } #[test] fn ex_11_4() { let expr= r#"

a = \frac{F}{m} = \frac{m \cdot \frac{v^{2}}{r}}{m} \Rightarrow a = r \cdot ω^{2}

"#; test_braille("Swedish", expr, "⠁⠀⠶⠀⠠⠋⠳⠍⠀⠶⠀⠿⠦⠍⠻⠄⠧⠬⠼⠃⠳⠗⠳⠳⠍⠿⠴⠀⠶⠕⠀⠁⠀⠶⠀⠗⠀⠻⠄⠀⠰⠺⠬⠼⠃"); }