diff --git a/pystencils/include/aesni_rand.h b/pystencils/include/aesni_rand.h
index a480883e5acbc55a8d1bf7bd90719600907abe67..09327f27b8bc0b3cdd0b16cb8a64e3237b555797 100644
--- a/pystencils/include/aesni_rand.h
+++ b/pystencils/include/aesni_rand.h
@@ -2,7 +2,11 @@
 #error AES-NI and SSE2 need to be enabled
 #endif
 
-#include <x86intrin.h>
+#include <emmintrin.h> // SSE2
+#include <wmmintrin.h> // AES
+#ifdef __AVX512VL__
+#include <immintrin.h> // AVX*
+#endif
 #include <cstdint>
 
 #define QUALIFIERS inline
@@ -14,22 +18,22 @@ typedef std::uint64_t uint64;
 
 QUALIFIERS __m128i aesni1xm128i(const __m128i & in, const __m128i & k) {
     __m128i x = _mm_xor_si128(k, in);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenc_si128(x, k);
-    x = _mm_aesenclast_si128(x, k);
+    x = _mm_aesenc_si128(x, k);     // 1
+    x = _mm_aesenc_si128(x, k);     // 2
+    x = _mm_aesenc_si128(x, k);     // 3
+    x = _mm_aesenc_si128(x, k);     // 4
+    x = _mm_aesenc_si128(x, k);     // 5
+    x = _mm_aesenc_si128(x, k);     // 6
+    x = _mm_aesenc_si128(x, k);     // 7
+    x = _mm_aesenc_si128(x, k);     // 8
+    x = _mm_aesenc_si128(x, k);     // 9
+    x = _mm_aesenclast_si128(x, k); // 10
     return x;
 }
 
 QUALIFIERS __m128 _my_cvtepu32_ps(const __m128i v)
 {
-#ifdef __AVX512F__
+#ifdef __AVX512VL__
     return _mm_cvtepu32_ps(v);
 #else
     __m128i v2 = _mm_srli_epi32(v, 1);
@@ -40,13 +44,14 @@ QUALIFIERS __m128 _my_cvtepu32_ps(const __m128i v)
 #endif
 }
 
-QUALIFIERS __m128d _my_cvtepu64_pd(const __m128i v)
+QUALIFIERS __m128d _my_cvtepu64_pd(const __m128i x)
 {
-#ifdef __AVX512F__
-    return _mm_cvtepu64_pd(v);
+#ifdef __AVX512VL__
+    return _mm_cvtepu64_pd(x);
 #else
-    #warning need to implement _my_cvtepu64_pd
-    return (__m128d) v;
+    uint64 r[2];
+    _mm_storeu_si128((__m128i*)r, x);
+    return _mm_set_pd((double)r[1], (double)r[0]);
 #endif
 }
 
@@ -55,25 +60,27 @@ QUALIFIERS void aesni_double2(uint32 ctr0, uint32 ctr1, uint32 ctr2, uint32 ctr3
                               uint32 key0, uint32 key1, uint32 key2, uint32 key3,
                               double & rnd1, double & rnd2)
 {
+    // pack input and call AES
     __m128i c128 = _mm_set_epi32(ctr3, ctr2, ctr1, ctr0);
     __m128i k128 = _mm_set_epi32(key3, key2, key1, key0);
     c128 = aesni1xm128i(c128, k128);
 
-    uint32 r[4];
-    _mm_storeu_si128((__m128i*)&r[0], c128);
-    __m128i x = _mm_set_epi64x((uint64) r[2], (uint64) r[0]);
-    __m128i y = _mm_set_epi64x((uint64) r[3], (uint64) r[1]);
+    // convert 32 to 64 bit and put 0th and 2nd element into x, 1st and 3rd element into y
+    __m128i x = _mm_and_si128(c128, _mm_set_epi32(0, 0xffffffff, 0, 0xffffffff));
+    __m128i y = _mm_and_si128(c128, _mm_set_epi32(0xffffffff, 0, 0xffffffff, 0));
+    y = _mm_srli_si128(y, 4);
 
-    __m128i cnt = _mm_set_epi64x(53 - 32, 53 - 32);
-    y = _mm_sll_epi64(y, cnt);
-    __m128i z = _mm_xor_si128(x, y);
+    // calculate z = x ^ y << (53 - 32))
+    __m128i z = _mm_sll_epi64(y, _mm_set_epi64x(53 - 32, 53 - 32));
+    z = _mm_xor_si128(x, z);
 
+    // convert uint64 to double
     __m128d rs = _my_cvtepu64_pd(z);
-    const __m128d tp53 = _mm_set_pd1(TWOPOW53_INV_DOUBLE);
-    const __m128d tp54 = _mm_set_pd1(TWOPOW53_INV_DOUBLE/2.0);
-    rs = _mm_mul_pd(rs, tp53);
-    rs = _mm_add_pd(rs, tp54);
+    // calculate rs * TWOPOW53_INV_DOUBLE + (TWOPOW53_INV_DOUBLE/2.0)
+    rs = _mm_mul_pd(rs, _mm_set_pd1(TWOPOW53_INV_DOUBLE));
+    rs = _mm_add_pd(rs, _mm_set_pd1(TWOPOW53_INV_DOUBLE/2.0));
 
+    // store result
     double rr[2];
     _mm_storeu_pd(rr, rs);
     rnd1 = rr[0];
@@ -85,16 +92,18 @@ QUALIFIERS void aesni_float4(uint32 ctr0, uint32 ctr1, uint32 ctr2, uint32 ctr3,
                              uint32 key0, uint32 key1, uint32 key2, uint32 key3,
                              float & rnd1, float & rnd2, float & rnd3, float & rnd4)
 {
+    // pack input and call AES
     __m128i c128 = _mm_set_epi32(ctr3, ctr2, ctr1, ctr0);
     __m128i k128 = _mm_set_epi32(key3, key2, key1, key0);
     c128 = aesni1xm128i(c128, k128);
 
+    // convert uint32 to float
     __m128 rs = _my_cvtepu32_ps(c128);
-    const __m128 tp32 = _mm_set_ps1(TWOPOW32_INV_FLOAT);
-    const __m128 tp33 = _mm_set_ps1(TWOPOW32_INV_FLOAT/2.0f);
-    rs = _mm_mul_ps(rs, tp32);
-    rs = _mm_add_ps(rs, tp33);
+    // calculate rs * TWOPOW32_INV_FLOAT + (TWOPOW32_INV_FLOAT/2.0f)
+    rs = _mm_mul_ps(rs, _mm_set_ps1(TWOPOW32_INV_FLOAT));
+    rs = _mm_add_ps(rs, _mm_set_ps1(TWOPOW32_INV_FLOAT/2.0f));
 
+    // store result
     float r[4];
     _mm_storeu_ps(r, rs);
     rnd1 = r[0];
diff --git a/pystencils/rng.py b/pystencils/rng.py
index 81e33419fdc518613ac79cd15175fe923748e378..4341a0b3906cb9505b1ffbb4c6070e9ea09aee60 100644
--- a/pystencils/rng.py
+++ b/pystencils/rng.py
@@ -21,7 +21,7 @@ def _get_rng_template(name, data_type, num_vars):
 
 def _get_rng_code(template, dialect, vector_instruction_set, time_step, offsets, keys, dim, result_symbols):
     parameters = [time_step] + [LoopOverCoordinate.get_loop_counter_symbol(i) + offsets[i]
-                                for i in range(dim)] + [0] * (3-dim) + list(keys)
+                                for i in range(dim)] + [0] * (3 - dim) + list(keys)
 
     if dialect == 'cuda' or (dialect == 'c' and vector_instruction_set is None):
         return template.format(parameters=', '.join(str(p) for p in parameters),
@@ -67,7 +67,7 @@ class RNGBase(CustomCodeNode):
     def get_code(self, dialect, vector_instruction_set):
         template = _get_rng_template(self._name, self._data_type, self._num_vars)
         return _get_rng_code(template, dialect, vector_instruction_set,
-                                self._time_step, self._offsets, self.keys, self._dim, self.result_symbols)
+                             self._time_step, self._offsets, self.keys, self._dim, self.result_symbols)
 
     def __repr__(self):
         return (", ".join(['{}'] * self._num_vars) + " <- {}RNG").format(*self.result_symbols, self._name.capitalize())
diff --git a/pystencils_tests/test_random.py b/pystencils_tests/test_random.py
index f55d028d097c66dca0f6da47329270656f8b6ce1..473aa3d1215449f51e70aa3b09f2c605ed13c313 100644
--- a/pystencils_tests/test_random.py
+++ b/pystencils_tests/test_random.py
@@ -76,12 +76,6 @@ def test_aesni_double():
     arr = dh.gather_array('f')
     assert np.logical_and(arr <= 1.0, arr >= 0).all()
 
-    #x = aesni_reference[:,:,0::2]
-    #y = aesni_reference[:,:,1::2]
-    #z = x ^ y << (53 - 32)
-    #double_reference = z * 2.**-53 + 2.**-54
-    #assert(np.allclose(arr, double_reference, rtol=0, atol=np.finfo(np.float64).eps))
-
 
 def test_aesni_float():
     dh = ps.create_data_handling((2, 2), default_ghost_layers=0, default_target="cpu")
@@ -97,7 +91,4 @@ def test_aesni_float():
     dh.run_kernel(kernel, time_step=124)
     dh.all_to_cpu()
     arr = dh.gather_array('f')
-    assert np.logical_and(arr <= 1.0, arr >= 0).all()
-
-    #float_reference = aesni_reference * 2.**-32 + 2.**-33
-    #assert(np.allclose(arr, float_reference, rtol=0, atol=np.finfo(np.float32).eps))
\ No newline at end of file
+    assert np.logical_and(arr <= 1.0, arr >= 0).all()
\ No newline at end of file