diff --git a/tests/snippets/dict.py b/tests/snippets/dict.py
index 270d2c07e..f7506a205 100644
--- a/tests/snippets/dict.py
+++ b/tests/snippets/dict.py
@@ -198,3 +198,5 @@ z = {'c': 3, 'd': 3, 'e': 3}
 
 w = {1: 1, **x, 2: 2, **y, 3: 3, **z, 4: 4}
 assert w == {1: 1, 'a': 1, 'b': 2, 'c': 3, 2: 2, 'd': 3, 3: 3, 'e': 3, 4: 4}
+
+assert str({True: True, 1.0: 1.0}) == str({True: 1.0})
diff --git a/tests/snippets/floats.py b/tests/snippets/floats.py
index 82f2b86e3..c116b8010 100644
--- a/tests/snippets/floats.py
+++ b/tests/snippets/floats.py
@@ -98,6 +98,21 @@ assert float(b'2.99e-23') == 2.99e-23
 assert_raises(ValueError, lambda: float('foo'))
 assert_raises(OverflowError, lambda: float(2**10000))
 
+# check eq and hash for small numbers
+
+assert 1.0 == 1
+assert 1.0 == True
+assert 0.0 == 0
+assert 0.0 == False
+assert hash(1.0) == hash(1)
+assert hash(1.0) == hash(True)
+assert hash(0.0) == hash(0)
+assert hash(0.0) == hash(False)
+assert hash(1.0) != hash(1.0000000001)
+
+assert 5.0 in {3, 4, 5}
+assert {-1: 2}[-1.0] == 2
+
 # check that magic methods are implemented for ints and floats
 
 assert 1.0.__add__(1.0) == 2.0
diff --git a/vm/src/lib.rs b/vm/src/lib.rs
index 8b14454fe..2e5fcb3f4 100644
--- a/vm/src/lib.rs
+++ b/vm/src/lib.rs
@@ -55,6 +55,7 @@ pub mod frame;
 pub mod function;
 pub mod import;
 pub mod obj;
+mod pyhash;
 pub mod pyobject;
 pub mod stdlib;
 mod symboltable;
diff --git a/vm/src/obj/objfloat.rs b/vm/src/obj/objfloat.rs
index add61a684..8d983c3ae 100644
--- a/vm/src/obj/objfloat.rs
+++ b/vm/src/obj/objfloat.rs
@@ -4,6 +4,7 @@ use super::objstr;
 use super::objtype;
 use crate::function::OptionalArg;
 use crate::obj::objtype::PyClassRef;
+use crate::pyhash;
 use crate::pyobject::{
     IdProtocol, IntoPyObject, PyClassImpl, PyContext, PyObjectRef, PyRef, PyResult, PyValue,
     TypeProtocol,
@@ -429,6 +430,11 @@ impl PyFloat {
         zelf
     }
 
+    #[pymethod(name = "__hash__")]
+    fn hash(&self, _vm: &VirtualMachine) -> pyhash::PyHash {
+        pyhash::hash_float(self.value)
+    }
+
     #[pyproperty(name = "real")]
     fn real(zelf: PyRef<Self>, _vm: &VirtualMachine) -> PyFloatRef {
         zelf
diff --git a/vm/src/pyhash.rs b/vm/src/pyhash.rs
new file mode 100644
index 000000000..81c605584
--- /dev/null
+++ b/vm/src/pyhash.rs
@@ -0,0 +1,67 @@
+use std::hash::{Hash, Hasher};
+
+use crate::pyobject::PyObjectRef;
+use crate::pyobject::PyResult;
+use crate::vm::VirtualMachine;
+
+pub type PyHash = i64;
+pub type PyUHash = u64;
+
+pub const BITS: usize = 61;
+pub const MODULUS: PyUHash = (1 << BITS) - 1;
+// pub const CUTOFF: usize = 7;
+
+pub const INF: PyHash = 314159;
+pub const NAN: PyHash = 0;
+
+pub fn hash_float(value: f64) -> PyHash {
+    // cpython _Py_HashDouble
+    if !value.is_finite() {
+        return if value.is_infinite() {
+            if value > 0.0 {
+                INF
+            } else {
+                -INF
+            }
+        } else {
+            NAN
+        };
+    }
+
+    let frexp = if 0.0 == value {
+        (value, 0i32)
+    } else {
+        let bits = value.to_bits();
+        let exponent: i32 = ((bits >> 52) & 0x7ff) as i32 - 1022;
+        let mantissa_bits = bits & (0x000fffffffffffff) | (1022 << 52);
+        (f64::from_bits(mantissa_bits), exponent)
+    };
+
+    // process 28 bits at a time;  this should work well both for binary
+    // and hexadecimal floating point.
+    let mut m = frexp.0;
+    let mut e = frexp.1;
+    let mut x: PyUHash = 0;
+    while m != 0.0 {
+        x = ((x << 28) & MODULUS) | x >> (BITS - 28);
+        m *= 268435456.0; // 2**28
+        e -= 28;
+        let y = m as PyUHash; // pull out integer part
+        m -= y as f64;
+        x += y;
+        if x >= MODULUS {
+            x -= MODULUS;
+        }
+    }
+
+    // adjust for the exponent;  first reduce it modulo BITS
+    const BITS32: i32 = BITS as i32;
+    e = if e >= 0 {
+        e % BITS32
+    } else {
+        BITS32 - 1 - ((-1 - e) % BITS32)
+    };
+    x = ((x << e) & MODULUS) | x >> (BITS32 - e);
+
+    x as PyHash * value.signum() as PyHash
+}