diff --git a/lib/rdf/datatypes/numeric.ex b/lib/rdf/datatypes/numeric.ex
index bc1ae9e..bdfaeb1 100644
--- a/lib/rdf/datatypes/numeric.ex
+++ b/lib/rdf/datatypes/numeric.ex
@@ -319,6 +319,80 @@ defmodule RDF.Numeric do
   defp xpath_round(decimal, precision),
      do: D.round(decimal, precision)
 
+  @doc """
+  Rounds a numeric literal upwards to a whole number literal.
+
+  If the argument is not a valid numeric literal `nil` is returned.
+
+  see <http://www.w3.org/TR/xpath-functions/#func-ceil>
+
+  """
+  def ceil(literal)
+
+  def ceil(%Literal{datatype: @xsd_decimal} = literal) do
+    if RDF.Decimal.valid?(literal) do
+      literal.value
+      |> D.round(0, (if literal.value.sign == -1, do: :down, else: :up))
+      |> D.to_integer()
+      |> RDF.Integer.new()
+    end
+  end
+
+  def ceil(%Literal{datatype: @xsd_double, value: value} = literal)
+      when value in ~w[nan positive_infinity negative_infinity]a, do: literal
+
+  def ceil(%Literal{datatype: @xsd_double} = literal) do
+    if RDF.Double.valid?(literal) do
+      literal.value
+      |> Float.ceil()
+      |> trunc()
+      |> RDF.Integer.new()
+    end
+  end
+
+  def ceil(%Literal{datatype: datatype} = literal) do
+    if type?(datatype) and Literal.valid?(literal) do
+      literal
+    end
+  end
+
+  @doc """
+  Rounds a numeric literal downwards to a whole number literal.
+
+  If the argument is not a valid numeric literal `nil` is returned.
+
+  see <http://www.w3.org/TR/xpath-functions/#func-floor>
+
+  """
+  def floor(literal)
+
+  def floor(%Literal{datatype: @xsd_decimal} = literal) do
+    if RDF.Decimal.valid?(literal) do
+      literal.value
+      |> D.round(0, (if literal.value.sign == -1, do: :up, else: :down))
+      |> D.to_integer()
+      |> RDF.Integer.new()
+    end
+  end
+
+  def floor(%Literal{datatype: @xsd_double, value: value} = literal)
+      when value in ~w[nan positive_infinity negative_infinity]a, do: literal
+
+  def floor(%Literal{datatype: @xsd_double} = literal) do
+    if RDF.Double.valid?(literal) do
+      literal.value
+      |> Float.floor()
+      |> trunc()
+      |> RDF.Integer.new()
+    end
+  end
+
+  def floor(%Literal{datatype: datatype} = literal) do
+    if type?(datatype) and Literal.valid?(literal) do
+      literal
+    end
+  end
+
 
   defp arithmetic_operation(op, arg1, arg2, fun) do
     if literal?(arg1) && literal?(arg2) do
diff --git a/test/unit/datatypes/numeric_test.exs b/test/unit/datatypes/numeric_test.exs
index 7493226..b517017 100644
--- a/test/unit/datatypes/numeric_test.exs
+++ b/test/unit/datatypes/numeric_test.exs
@@ -409,4 +409,58 @@ defmodule RDF.NumericTest do
     end
   end
 
+  describe "ceil/1" do
+    test "with xsd:integer" do
+      assert RDF.integer(42)  |> Numeric.ceil() == RDF.integer(42)
+      assert RDF.integer(-42) |> Numeric.ceil() == RDF.integer(-42)
+    end
+
+    test "with xsd:double" do
+      assert RDF.double(10.5)  |> Numeric.ceil() == RDF.integer(11)
+      assert RDF.double(-10.5) |> Numeric.ceil() == RDF.integer(-10)
+
+      assert RDF.double("INF")  |> Numeric.ceil() == RDF.double("INF")
+      assert RDF.double("-INF") |> Numeric.ceil() == RDF.double("-INF")
+      assert RDF.double("NAN")  |> Numeric.ceil() == RDF.double("NAN")
+    end
+
+    test "with xsd:decimal" do
+      assert RDF.decimal(10.5)  |> Numeric.ceil() == RDF.integer(11)
+      assert RDF.decimal(-10.5) |> Numeric.ceil() == RDF.integer(-10)
+    end
+
+    test "with invalid numeric literals" do
+      assert RDF.integer("-3.14") |> Numeric.ceil() == nil
+      assert RDF.double("foo")    |> Numeric.ceil() == nil
+      assert RDF.decimal("foo")   |> Numeric.ceil() == nil
+    end
+  end
+
+  describe "floor/1" do
+    test "with xsd:integer" do
+      assert RDF.integer(42)  |> Numeric.floor() == RDF.integer(42)
+      assert RDF.integer(-42) |> Numeric.floor() == RDF.integer(-42)
+    end
+
+    test "with xsd:double" do
+      assert RDF.double(10.5)  |> Numeric.floor() == RDF.integer(10)
+      assert RDF.double(-10.5) |> Numeric.floor() == RDF.integer(-11)
+
+      assert RDF.double("INF")  |> Numeric.floor() == RDF.double("INF")
+      assert RDF.double("-INF") |> Numeric.floor() == RDF.double("-INF")
+      assert RDF.double("NAN")  |> Numeric.floor() == RDF.double("NAN")
+    end
+
+    test "with xsd:decimal" do
+      assert RDF.decimal(10.5)  |> Numeric.floor() == RDF.integer(10)
+      assert RDF.decimal(-10.5) |> Numeric.floor() == RDF.integer(-11)
+    end
+
+    test "with invalid numeric literals" do
+      assert RDF.integer("-3.14") |> Numeric.floor() == nil
+      assert RDF.double("foo")    |> Numeric.floor() == nil
+      assert RDF.decimal("foo")   |> Numeric.floor() == nil
+    end
+  end
+
 end