diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/lib/factory.js index 5979664b933c..603dc1693eff 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/lib/factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/lib/factory.js @@ -24,6 +24,7 @@ var constantFunction = require( '@stdlib/utils/constant-function' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var pow = require( '@stdlib/math/base/special/pow' ); var ln = require( '@stdlib/math/base/special/ln' ); +var log1p = require( '@stdlib/math/base/special/log1p' ); var NINF = require( '@stdlib/constants/float64/ninf' ); @@ -88,7 +89,7 @@ function factory( a, b, c ) { } // Case: x > c if ( x < b ) { - return ln( 1.0 - ( pow( b - x, 2.0 ) / denom2 ) ); + return log1p( -pow( b - x, 2.0 ) / denom2 ); } // Case: x >= b return 0.0; diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/lib/main.js index 02fa43b7e87c..1f09b07c322d 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/lib/main.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/lib/main.js @@ -23,6 +23,7 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' ); var pow = require( '@stdlib/math/base/special/pow' ); var ln = require( '@stdlib/math/base/special/ln' ); +var log1p = require( '@stdlib/math/base/special/log1p' ); var NINF = require( '@stdlib/constants/float64/ninf' ); @@ -99,7 +100,7 @@ function logcdf( x, a, b, c ) { } // Case: x > c if ( x < b ) { - return ln( 1.0 - ( pow( b - x, 2.0 ) / denom2 ) ); + return log1p( -pow( b - x, 2.0 ) / denom2 ); } // Case: x >= b return 0.0; diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/manifest.json index 4776838f010f..9ef39bd556ef 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/manifest.json +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/manifest.json @@ -40,6 +40,7 @@ "dependencies": [ "@stdlib/math/base/napi/quaternary", "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/special/log1p", "@stdlib/constants/float64/ninf", "@stdlib/math/base/special/ln", "@stdlib/math/base/special/pow" @@ -58,6 +59,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/special/log1p", "@stdlib/constants/float64/eps", "@stdlib/constants/float64/ninf", "@stdlib/math/base/special/ln", @@ -78,6 +80,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/special/log1p", "@stdlib/constants/float64/eps", "@stdlib/constants/float64/ninf", "@stdlib/math/base/special/ln", diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/src/main.c index c13d64bbeb39..67b1a8c7ccab 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/src/main.c +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/src/main.c @@ -21,6 +21,7 @@ #include "stdlib/constants/float64/ninf.h" #include "stdlib/math/base/special/ln.h" #include "stdlib/math/base/special/pow.h" +#include "stdlib/math/base/special/log1p.h" /** * Evaluates the natural logarithm of the cumulative distribution function (CDF) for a triangular distribution with lower limit `a`, upper limit `b`, and mode `c` at a value `x`. @@ -53,7 +54,7 @@ double stdlib_base_dists_triangular_logcdf( const double x, const double a, cons return ( 2.0 * stdlib_base_ln( x - a ) - stdlib_base_ln( ( b - a ) * ( c - a ) ) ); } if ( x < b ) { - return stdlib_base_ln( 1.0 - ( stdlib_base_pow( b - x, 2.0 ) / ( ( b - a ) * ( b - c ) ) ) ); + return stdlib_base_log1p( -stdlib_base_pow( b - x, 2.0 ) / ( ( b - a ) * ( b - c ) ) ); } return 0.0; } diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/REQUIRE index 98be20b58ed3..308c3be89c85 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/REQUIRE +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/REQUIRE @@ -1,3 +1,2 @@ -Distributions 0.23.8 julia 1.5 JSON 0.21 diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/large_range.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/large_range.json index 523b940d4d93..c2d8f918e166 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/large_range.json +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/large_range.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/medium_range.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/medium_range.json index 4c2709159b82..5eba5d7f7907 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/medium_range.json +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/medium_range.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/near_b.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/near_b.json new file mode 100644 index 000000000000..b5fa948f3ecd --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/near_b.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/runner.jl index 55093080d307..09528af114b4 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/runner.jl +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/runner.jl @@ -16,7 +16,6 @@ # See the License for the specific language governing permissions and # limitations under the License. -import Distributions: logcdf, TriangularDist import JSON """ @@ -24,6 +23,8 @@ import JSON Generate fixture data and write to file. +The logarithm of the CDF is evaluated in extended precision from the textbook formula, `ln((x-a)^2 / ((b-a)(c-a)))` for `x <= c` and `ln(1 - (b-x)^2 / ((b-a)(b-c)))` for `x > c`, as forming `1 - (b-x)^2/...` in double precision loses the digits of a result close to `0`. + # Arguments * `x`: input value @@ -44,8 +45,18 @@ julia> gen( x, a, b, c, "data.json" ); """ function gen( x, a, b, c, name ) z = Array{Float64}( undef, length(x) ); - for i in eachindex(x) - z[ i ] = logcdf( TriangularDist( a[i], b[i], c[i] ), x[i] ); + setprecision( BigFloat, 2048 ) do + for i in eachindex(x) + xi = BigFloat( x[i] ); + ai = BigFloat( a[i] ); + bi = BigFloat( b[i] ); + ci = BigFloat( c[i] ); + if xi <= ci + z[ i ] = Float64( log( ( xi-ai )^2 / ( ( bi-ai ) * ( ci-ai ) ) ) ); + else + z[ i ] = Float64( log( 1 - ( ( bi-xi )^2 / ( ( bi-ai ) * ( bi-ci ) ) ) ) ); + end + end end # Store data to be written to file as a collection: @@ -93,3 +104,10 @@ b = ( rand( 1000 ) .* 80.0 ) .+ a; c = a .+ ( b .- a ) .* rand(); x = a .+ ( b .- a ) .* rand(); gen( x, a, b, c, "large_range.json" ); + +# `x` close to `b`: +a = rand( 1000 ) .* 20.0; +b = ( rand( 1000 ) .* 20.0 ) .+ a .+ 1.0; +c = a .+ ( ( b .- a ) .* rand( 1000 ) ); +x = b .- ( ( b .- c ) .* exp10.( range( -8.0, stop = -1.0, length = 1000 ) ) ); +gen( x, a, b, c, "near_b.json" ); diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/small_range.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/small_range.json index 01bb72f355a1..7d7a4d29baf2 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/small_range.json +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/fixtures/julia/small_range.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.factory.js index 3ba48cf0b281..ce0f6c489965 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.factory.js @@ -31,6 +31,7 @@ var factory = require( './../lib/factory.js' ); // FIXTURES // var smallRange = require( './fixtures/julia/small_range.json' ); +var nearB = require( './fixtures/julia/near_b.json' ); var mediumRange = require( './fixtures/julia/medium_range.json' ); var largeRange = require( './fixtures/julia/large_range.json' ); @@ -171,7 +172,7 @@ tape( 'the created function evaluates the logcdf for `x` given a small range `b for ( i = 0; i < x.length; i++ ) { logcdf = factory( a[i], b[i], c[i] ); y = logcdf( x[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 6 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); } t.end(); }); @@ -194,7 +195,7 @@ tape( 'the created function evaluates the logcdf for `x` given a medium range `b for ( i = 0; i < x.length; i++ ) { logcdf = factory( a[i], b[i], c[i] ); y = logcdf( x[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); } t.end(); }); @@ -217,7 +218,30 @@ tape( 'the created function evaluates the logcdf for `x` given a large range `b for ( i = 0; i < x.length; i++ ) { logcdf = factory( a[i], b[i], c[i] ); y = logcdf( x[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 11 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the created function evaluates the logcdf for `x` close to `b`', function test( t ) { + var expected; + var logcdf; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = nearB.expected; + x = nearB.x; + a = nearB.a; + b = nearB.b; + c = nearB.c; + for ( i = 0; i < x.length; i++ ) { + logcdf = factory( a[i], b[i], c[i] ); + y = logcdf( x[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 2 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.logcdf.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.logcdf.js index 1851ae7c3d4f..3f213bbcbc95 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.logcdf.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.logcdf.js @@ -31,6 +31,7 @@ var logcdf = require( './../lib' ); // FIXTURES // var smallRange = require( './fixtures/julia/small_range.json' ); +var nearB = require( './fixtures/julia/near_b.json' ); var mediumRange = require( './fixtures/julia/medium_range.json' ); var largeRange = require( './fixtures/julia/large_range.json' ); @@ -105,7 +106,7 @@ tape( 'the function evaluates the logcdf for `x` given a small range `b - a`', f c = smallRange.c; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], a[i], b[i], c[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 6 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); } t.end(); }); @@ -126,7 +127,7 @@ tape( 'the function evaluates the logcdf for `x` given a medium range `b - a`', c = mediumRange.c; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], a[i], b[i], c[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); } t.end(); }); @@ -147,7 +148,28 @@ tape( 'the function evaluates the logcdf for `x` given a large range `b - a`', f c = largeRange.c; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], a[i], b[i], c[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 11 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the logcdf for `x` close to `b`', function test( t ) { + var expected; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = nearB.expected; + x = nearB.x; + a = nearB.a; + b = nearB.b; + c = nearB.c; + for ( i = 0; i < x.length; i++ ) { + y = logcdf( x[i], a[i], b[i], c[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 2 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.native.js index a1cd66fd8b86..8dba1bad2dc5 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.native.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/logcdf/test/test.native.js @@ -32,6 +32,7 @@ var tryRequire = require( '@stdlib/utils/try-require' ); // FIXTURES // var smallRange = require( './fixtures/julia/small_range.json' ); +var nearB = require( './fixtures/julia/near_b.json' ); var mediumRange = require( './fixtures/julia/medium_range.json' ); var largeRange = require( './fixtures/julia/large_range.json' ); @@ -114,7 +115,7 @@ tape( 'the function evaluates the logcdf for `x` given a small range `b - a`', o c = smallRange.c; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], a[i], b[i], c[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 6 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); } t.end(); }); @@ -135,7 +136,7 @@ tape( 'the function evaluates the logcdf for `x` given a medium range `b - a`', c = mediumRange.c; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], a[i], b[i], c[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); } t.end(); }); @@ -156,7 +157,28 @@ tape( 'the function evaluates the logcdf for `x` given a large range `b - a`', o c = largeRange.c; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], a[i], b[i], c[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 11 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the logcdf for `x` close to `b`', opts, function test( t ) { + var expected; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = nearB.expected; + x = nearB.x; + a = nearB.a; + b = nearB.b; + c = nearB.c; + for ( i = 0; i < x.length; i++ ) { + y = logcdf( x[i], a[i], b[i], c[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 2 ), true, 'returns expected value' ); } t.end(); });