Adds logten and invsqrtπ (#6)

* added logten, twoinvsqrtπ and halfsqrtπ

* just include logten and invsqrtpi

* indentation

* add new constants to readme

* moved invsqrtpi

* added tests

Author: torfjelde

README.md

@@ -23,9 +23,11 @@ sqrt2π     # √2π
 sqrt4π     # √4π
 sqrthalfπ  # √(π / 2)
 invsqrt2   # 1 / √2
+invsqrtπ   # 1 / √π
 invsqrt2π  # 1 / √2π
 loghalf    # log(1 / 2)
 logtwo     # log(2)
+logten     # log(10)
 logπ       # log(π)
 log2π      # log(2π)
 log4π      # log(4π)

src/stats.jl

@@ -19,10 +19,12 @@
 @irrational sqrthalfπ 1.2533141373155002512 sqrt(big(π) / 2)
 
 @irrational invsqrt2  0.7071067811865475244 inv(sqrt(big(2)))
+@irrational invsqrtπ  1.1283791670955126 inv(sqrt(big(π)))
 @irrational invsqrt2π 0.3989422804014326779 inv(sqrt(2 * big(π)))
 
 @irrational loghalf -0.6931471805599453094 log(inv(big(2)))
-@irrational logtwo 0.6931471805599453094 log(big(2))
-@irrational logπ   1.1447298858494001741 log(big(π))
-@irrational log2π  1.8378770664093454836 log(2 * big(π))
-@irrational log4π  2.5310242469692907930 log(4 * big(π))
+@irrational logtwo  0.6931471805599453094 log(big(2))
+@irrational logten  2.302585092994046 log(big(10))
+@irrational logπ    1.1447298858494001741 log(big(π))
+@irrational log2π   1.8378770664093454836 log(2 * big(π))
+@irrational log4π   2.5310242469692907930 log(4 * big(π))

test/runtests.jl

@@ -27,12 +27,14 @@ end
   @test isapprox(sqrt(4pi), sqrt4π)
   @test isapprox(sqrt(pi/2), sqrthalfπ)
   @test isapprox(sqrt(1/2), invsqrt2)
+  @test isapprox(sqrt(1/(pi)), invsqrtπ)
   @test isapprox(sqrt(1/(2pi)), invsqrt2π)
 end
 
 @testset "log" begin
   @test isapprox(log(1/2), loghalf)
   @test isapprox(log(2), logtwo)
+  @test isapprox(log(10), logten)
   @test isapprox(log(pi), logπ)
   @test isapprox(log(2pi), log2π)
   @test isapprox(log(4pi), log4π)