diff --git a/audio engine/model.py b/audio engine/model.py
index 413e0cc..a716e93 100644
--- a/audio engine/model.py	
+++ b/audio engine/model.py	
@@ -1,11 +1,13 @@
 import torch
-import torch.nn as nn
+from torch import Tensor, nn
 import torch.nn.functional as F
 import math
+from typing import Dict, Iterable, Optional
+import numpy as np
 
 device = 'cuda' if torch.cuda.is_available() else 'cpu'
 
-class ConfigModel():
+class ConfigModel:
   d_model = 768
   block_size = 1024
   n_head = 12
@@ -50,6 +52,32 @@ def forward(self, x):
     output = self._norm(x.float()).type_as(x)
     return output * self.weight
 
+class Linear(nn.Linear):
+  def forward(self, x: Tensor) -> Tensor:
+    return F.linear(
+      x,
+      self.weight.to(x.dtype),
+      None if self.bias is None else self.bias.to(x.dtype),
+    )
+
+class Conv1d(nn.Conv1d):
+  def _conv_forward(self, x: Tensor, weight: Tensor, bias: Optional[Tensor]) -> Tensor:
+    return super()._conv_forward(
+      x, weight.to(x.dtype), None if bias is None else bias.to(x.dtype)
+    )
+
+def sinusoids(length, channels, max_timescale=10000):
+  """Returns sinusoids for positional embedding"""
+  assert channels % 2 == 0
+  log_timescale_increment = np.log(max_timescale) / (channels // 2 - 1)
+  inv_timescales = torch.exp(-log_timescale_increment * torch.arange(channels // 2))
+  scaled_time = torch.arange(length)[:, np.newaxis] * inv_timescales[np.newaxis, :]
+  return torch.cat([torch.sin(scaled_time), torch.cos(scaled_time)], dim=1)
+
+class NewGELU(nn.Module):
+  def forward(self, input):
+    return 0.5 * input * (1.0 + torch.tanh(math.sqrt(2.0 / math.pi) * (input + 0.044715 * torch.pow(input, 3.0))))
+
 class PositionalEncoding(nn.Module):
   def __init__(self, d_model, block_size, dropout):
     super().__init__()
@@ -66,10 +94,6 @@ def forward(self, x):
     x = x + self.pe[:x.size(0), :]
     return self.dropout(x)
 
-class NewGELU(nn.Module):
-  def forward(self, input):
-    return 0.5 * input * (1.0 + torch.tanh(math.sqrt(2.0 / math.pi) * (input + 0.044715 * torch.pow(input, 3.0))))
-
 class SelfAttention(nn.Module):
   def __init__(self, head_size, d_model, block_size, dropout):
     super().__init__()
diff --git a/audio engine/whisper.py.py b/audio engine/whisper.py
similarity index 100%
rename from audio engine/whisper.py.py
rename to audio engine/whisper.py
diff --git a/test.py b/test.py
index db3ef25..741f45c 100644
--- a/test.py
+++ b/test.py
@@ -1,5 +1,8 @@
 import torch
 import tiktoken
+import torch.nn as nn
+import math
+import numpy as np
 tokenizer = tiktoken.get_encoding("p50k_base")
 tokenizer = tiktoken.encoding_for_model("text-davinci-003")
 
@@ -13,4 +16,42 @@
 
 B, T  = x.shape
 z = x.view(B*T)
-print(z)
\ No newline at end of file
+print(z)
+
+class PositionalEncoding(nn.Module):
+  def __init__(self, d_model, block_size, dropout):
+    super().__init__()
+    self.dropout = nn.Dropout(p=dropout)
+    pe = torch.zeros(block_size, d_model)
+    position = torch.arange(0, block_size, dtype=torch.float).unsqueeze(1)
+    div_term = torch.exp(torch.arange(0, d_model, 2).float() * (-math.log(10000.0) / d_model))
+    pe[:, 0::2] = torch.sin(position * div_term)
+    pe[:, 1::2] = torch.cos(position * div_term)
+    pe = pe.unsqueeze(0).transpose(0, 1)
+    self.register_buffer('pe', pe)
+
+  def forward(self, x):
+    x = x + self.pe[:x.size(0), :]
+    return self.dropout(x)
+
+def sinusoids(length, channels, max_timescale=10000):
+    """Returns sinusoids for positional embedding"""
+    assert channels % 2 == 0
+    log_timescale_increment = np.log(max_timescale) / (channels // 2 - 1)
+    inv_timescales = torch.exp(-log_timescale_increment * torch.arange(channels // 2))
+    scaled_time = torch.arange(length)[:, np.newaxis] * inv_timescales[np.newaxis, :]
+    return torch.cat([torch.sin(scaled_time), torch.cos(scaled_time)], dim=1)
+
+length = 100
+channels = 100
+positional_embeddings = sinusoids(length, channels).numpy()
+
+import matplotlib.pyplot as plt
+
+plt.figure(figsize=(10, 8))
+plt.imshow(positional_embeddings, aspect='auto', cmap='viridis')
+plt.colorbar()
+plt.xlabel('Embedding Dimension')
+plt.ylabel('Position')
+plt.title('Sinusoidal Positional Embeddings')
+plt.show()
\ No newline at end of file