diff --git a/src/distributions/truncate.jl b/src/distributions/truncate.jl
index ccb0d06..c9ad901 100644
--- a/src/distributions/truncate.jl
+++ b/src/distributions/truncate.jl
@@ -19,6 +19,7 @@ realtype(::Type{TruncatedDistribution{D, T1, T2}}) where {D, T1, T2} = promote_t
 realtype(::TruncatedDistribution{D, T1, T2}) where {D, T1, T2} = promote_type(realtype(D), T1, T2)
 
 normalization_constant(d::TruncatedDistribution) = cdf(get_dist(d), get_upper(d)) - cdf(get_dist(d), get_lower(d)) + pmf(get_dist(d), get_lower(d))
+lognormalization_constant(d::TruncatedDistribution) = logaddexp(logsubexp(logcdf(get_dist(d), get_upper(d)), logcdf(get_dist(d), get_lower(d))), logpmf(get_dist(d), get_lower(d)))
 
 function pdf(d::TruncatedDistribution, x::T) where { T <: Real }
     Tx = promote_type(T, realtype(d))
@@ -36,6 +37,15 @@ function cdf(d::TruncatedDistribution{D}, x::T) where { T, D }
     end
     return (cdf(get_dist(d), x) - cdf(get_dist(d), get_lower(d))) / normalization_constant(d)
 end
+function logcdf(d::TruncatedDistribution, x::T) where { T <: Real }
+    Tx = promote_type(T, realtype(d))
+    if x <= get_lower(d)
+        return -Inf
+    elseif x > get_upper(d)
+        return zero(Tx)
+    end
+    return logsubexp(logcdf(get_dist(d), x), logcdf(get_dist(d), get_lower(d))) - lognormalization_constant(d)
+end
 function invcdf(d::TruncatedDistribution, p)
     return invcdf(get_dist(d), cdf(get_dist(d), get_lower(d)) + p * normalization_constant(d))
 end
diff --git a/test/distributions/truncate_tests.jl b/test/distributions/truncate_tests.jl
index 24eb435..906eaab 100644
--- a/test/distributions/truncate_tests.jl
+++ b/test/distributions/truncate_tests.jl
@@ -1,6 +1,6 @@
 @testitem "Truncated distributions" begin
 
-    using UnboundedBNN: TruncatedDistribution, pdf, cdf, Normal, normalization_constant, invcdf, get_dist, get_lower, get_upper, truncate, expand_truncation_to_ints, realtype, support
+    using UnboundedBNN: TruncatedDistribution, pdf, logcdf, cdf, Normal, lognormalization_constant, normalization_constant, invcdf, get_dist, get_lower, get_upper, truncate, expand_truncation_to_ints, realtype, support
 
     @testset "get" begin
         @test get_dist(TruncatedDistribution(Normal(0, 1), 0, Inf)) == Normal(0, 1)
@@ -46,6 +46,14 @@
         @test normalization_constant(TruncatedDistribution(Poisson(1), 0, 3)) ≈ sum(pmf.(Ref(Poisson(1)), 0:3))
         @test normalization_constant(TruncatedDistribution(Poisson(1), 1, 3)) ≈ sum(pmf.(Ref(Poisson(1)), 1:3))
     end
+
+    @testset "lognormalization_constant" begin
+        @test lognormalization_constant(TruncatedDistribution(Normal(0, 1), -Inf, Inf)) ≈ 0
+        @test lognormalization_constant(TruncatedDistribution(Normal(0, 1), -Inf, 0)) ≈ log(0.5)
+        @test lognormalization_constant(TruncatedDistribution(Normal(2,3), 2, Inf)) ≈ log(0.5)
+        @test lognormalization_constant(TruncatedDistribution(Poisson(1), 0, 3)) ≈ log(sum(pmf.(Ref(Poisson(1)), 0:3)))
+        @test lognormalization_constant(TruncatedDistribution(Poisson(1), 1, 3)) ≈ log(sum(pmf.(Ref(Poisson(1)), 1:3)))
+    end
         
     @testset "pdf" begin
         @test pdf(TruncatedDistribution(Normal(0, 1), 0, Inf), -1) ≈ 0
@@ -61,12 +69,27 @@
         @test pdf(TruncatedDistribution(Normal(2,3), 2, Inf), 2) ≈ 2 / sqrt(2π) / 3
         @test pdf(TruncatedDistribution(Normal(2,3), 2, Inf), 3) ≈ 2 / sqrt(2π) / 3 * exp(-0.5/9)
     end
+
+    @testset "pmf" begin
+        @test pmf(TruncatedDistribution(Poisson(1), 0, 3), -1) ≈ 0
+    end
     
     @testset "cdf" begin
         @test cdf(TruncatedDistribution(Normal(0, 1), 0, Inf), -1) ≈ 0
         @test cdf(TruncatedDistribution(Normal(0, 1), 0, Inf), 0) ≈ 0
         @test cdf(TruncatedDistribution(Normal(0, 1), 0, Inf), 2) ≈ 1 - 2 * cdf(Normal(0, 1), -2)
         @test cdf(TruncatedDistribution(Normal(0, 1), 0, Inf), Inf) ≈ 1
+        @test cdf(TruncatedDistribution(Normal(0, 1), -Inf, 0), 0) ≈ 1
+        @test cdf(TruncatedDistribution(Normal(0, 1), -Inf, 0), 1) ≈ 1
+    end
+
+    @testset "logcdf" begin
+        @test logcdf(TruncatedDistribution(Normal(0, 1), 0, Inf), -1) ≈ -Inf
+        @test logcdf(TruncatedDistribution(Normal(0, 1), 0, Inf), 0) ≈ -Inf
+        @test logcdf(TruncatedDistribution(Normal(0, 1), 0, Inf), 2) ≈ log(1 - 2 * cdf(Normal(0, 1), -2))
+        @test logcdf(TruncatedDistribution(Normal(0, 1), 0, Inf), Inf) ≈ 0
+        @test logcdf(TruncatedDistribution(Normal(0, 1), -Inf, 0), 0) ≈ 0
+        @test logcdf(TruncatedDistribution(Normal(0, 1), -Inf, 0), 1) ≈ 0
     end
 
     @testset "inv_cdf" begin
@@ -76,7 +99,7 @@
         @test invcdf(TruncatedDistribution(Normal(3, 5), -1, 7), 0.5) ≈ 3
         @test invcdf(TruncatedDistribution(Normal(3, 5), -1, 7), 1.0) ≈ 7
     end
-        
+
     @testset "truncate" begin
         @test truncate(Normal(0, 1), 0, Inf) == TruncatedDistribution(Normal(0, 1), 0, Inf)
         @test truncate(TruncatedDistribution(Normal(0, 1), 0, Inf), 0, Inf) == TruncatedDistribution(Normal(0, 1), 0, Inf)
@@ -86,6 +109,10 @@
         @test truncate(TruncatedDistribution(Normal(2, 3), 3, 8), 2, Inf) == TruncatedDistribution(Normal(2, 3), 3, 8.0)
     end
 
+    @testset "truncate_to_quantiles" begin
+        @test truncate_to_quantiles(Normal(0,1), 0, 1) == TruncatedDistribution(Normal(0, 1), -Inf, Inf)
+    end
+
     @testset "expand_truncation_to_ints" begin
         @test expand_truncation_to_ints(TruncatedDistribution(Normal(0, 1), 0, 5.4)) == TruncatedDistribution(Normal(0, 1), 0, 6)
         @test expand_truncation_to_ints(TruncatedDistribution(Normal(0, 1), -5.4, 0)) == TruncatedDistribution(Normal(0, 1), -6, 0)