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Convert decimals to fractions in R
You can install the released version of fracture from CRAN with:
install.packages("fracture")or the development version from GitHub with:
# install.packages("remotes")
remotes::install_github("rossellhayes/fracture")fracture converts decimals into fractions.
fracture(0.5)
#> [1] 1/2
fracture((1:11) / 12)
#> [1] 1/12 1/6 1/4 1/3 5/12 1/2 7/12 2/3 3/4 5/6 11/12fracturesfractures are implemented using an S3 class. This means
we can perform mathematical operations on them like real fractions.
fracture(0.25) * 2
#> [1] 1/2
fracture(0.25) + fracture(1/6)
#> [1] 5/12fracturesfrac_style() uses Unicode to provide stylish formatting
for inline fractions.
`r frac_style(pi, mixed = TRUE, max_denom = 500)`3 ¹⁶/₁₁₃
Additional arguments help you get exactly the result you expect:
fracture((1:12) / 12, denom = 100)
#> [1] 8/100 17/100 25/100 33/100 42/100 50/100 58/100 67/100 75/100
#> [10] 83/100 92/100 100/100fracture((1:12) / 12, common_denom = TRUE)
#> [1] 1/12 2/12 3/12 4/12 5/12 6/12 7/12 8/12 9/12 10/12 11/12 12/12fracture(1 / (2:12), base_10 = TRUE)
#> [1] 5/10 3333333/10000000 25/100 2/10
#> [5] 1666667/10000000 1428571/10000000 125/1000 1111111/10000000
#> [9] 1/10 909091/10000000 833333/10000000fracture(sqrt(1 / (1:12)), max_denom = 100)
#> [1] 1/1 70/99 56/97 1/2 17/38 20/49 31/82 35/99 1/3 6/19 19/63 28/97fracture((1:9) / 3, mixed = TRUE)
#> [1] "1/3" "2/3" "1" "1 1/3" "1 2/3" "2" "2 1/3" "2 2/3" "3"For more advanced work, you may prefer to work with a fraction matrix:
frac_mat((1:11) / 12)
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11]
#> numerator 1 1 1 1 5 1 7 2 3 5 11
#> denominator 12 6 4 3 12 2 12 3 4 6 12frac_mat() accepts all the same arguments as
fracture().
When mixed fractions are used, frac_mat() has three
rows:
frac_mat((1:9) / 3, mixed = TRUE, common_denom = TRUE)
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
#> integer 0 0 1 1 1 2 2 2 3
#> numerator 1 2 0 1 2 0 1 2 0
#> denominator 3 3 3 3 3 3 3 3 3Use fracture to find the best approximations of π for each maximum denominator.
unique(purrr::map_chr(1:50000, ~ fracture(pi, max_denom = .x)))
#> [1] "3/1" "6/2" "9/3" "12/4" "15/5"
#> [6] "18/6" "22/7" "333/106" "355/113" "103993/33102"
#> [11] "104348/33215"Isn’t is interesting that there’s such a wide gap between ³⁵⁵/₁₁₃ and ¹⁰³⁹⁹³/₃₃₁₀₂?
fracture is implemented using optimized C++ with Rcpp and S3 methods.
This allows it to run faster than alternatives like MASS::fractions()
or fractional::fractional().*
# Performance with a single value
single_benchmark
#> # A tibble: 3 × 6
#> expression min median `itr/sec` mem_alloc `gc/sec`
#> <bch:expr> <dbl> <dbl> <dbl> <dbl> <dbl>
#> 1 print(fracture(x[1])) 1 1 1.47 1 1.50
#> 2 print(MASS::fractions(x[1])) 1.38 1.37 1.06 26.4 2.50
#> 3 print(fractional::fractional(x[1])) 1.29 1.40 1 18.3 1
# Performance with a vector of length 1000
vector_benchmark
#> # A tibble: 3 × 6
#> expression min median `itr/sec` mem_alloc `gc/sec`
#> <bch:expr> <dbl> <dbl> <dbl> <dbl> <dbl>
#> 1 print(fracture(x)) 1 1 2.37 1 1
#> 2 print(MASS::fractions(x)) 3.29 1.82 1.29 6.47 1.64
#> 3 print(fractional::fractional(x)) 4.25 2.26 1 1.66 1.57* fractional() does not compute a decimal’s fractional
equivalent until it is printed. Therefore, benchmarking the time to
print provides a fairer test of the three packages’ capabilities.
Hex sticker fonts are Source Sans and Hasklig.
Please note that fracture is released with a Contributor Code of Conduct. By contributing to this project, you agree to abide by its terms.
These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
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