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* SOVEREIGN LEVIATHAN NODE LICENSE
* License-ID: SL-AGPL3-001 | Covenant-Version: 1.0
* Copyright (C) 2026 SnapKittyWest. Ahmad Ali Parr, Bel Esprit D'Accord Irrevocable Trust.
* ========================================================================
*
* This file is a covered work under the GNU Affero General Public License,
* version 3, together with the Sovereign Leviathan additional terms.
*
* Hark, though this node be but a spark,
* Its covenant endureth through the dark.
*
* Ignorantia juris non excusat.
* ======================================================================== *)
{ Attention.pas – Scaled dot-product attention with multi-head support and Jacobian
Line count: 250
Dependency: TensorCore, Activations, JacobianCore
Forward: softmax(QK^T / sqrt(d_k)) @ V
With causal masking and explicit Jacobian for finite-difference checking
}
unit Attention;
interface
uses
SysUtils, Math, TensorCore, Activations, JacobianCore;
type
TAttentionHead = record
W_Q, W_K, W_V, W_O: TTensorData;
procedure Initialize(D_in, D_head: Integer);
end;
TMultiHeadAttention = class
public
Heads: array of TAttentionHead;
D_model, N_heads, D_head, D_ff: Integer;
procedure Initialize(DModel, NHeads: Integer);
procedure Forward(var Output: TTensorData; const Input: TTensorData;
CausalMask: Boolean = True);
procedure Backward(var Grad: TTensorData; const DLoss: TTensorData;
const Input: TTensorData; CausalMask: Boolean = True);
procedure ForwardWithJacobian(var Output: TTensorData; var Jac: TJacobianBlock;
const Input: TTensorData; CausalMask: Boolean = True);
end;
TScaledDotProductAttention = class
public
class procedure Forward(var Output: TTensorData;
const Q, K, V: TTensorData; CausalMask: Boolean = True);
class procedure Backward(var DQ, DK, DV: TTensorData;
const DOutput, Q, K, V: TTensorData;
const Scores: TTensorData;
CausalMask: Boolean = True);
class procedure ComputeAttentionScores(var Scores: TTensorData;
const Q, K: TTensorData; CausalMask: Boolean = True);
end;
implementation
procedure TAttentionHead.Initialize(D_in, D_head: Integer);
var S: TShape;
begin
S.Init(D_head, D_in, 0, 0);
TensorOps.XavierInit(W_Q, S);
TensorOps.XavierInit(W_K, S);
TensorOps.XavierInit(W_V, S);
S.Init(D_in, D_head, 0, 0);
TensorOps.XavierInit(W_O, S);
end;
procedure TMultiHeadAttention.Initialize(DModel, NHeads: Integer);
var i: Integer;
begin
D_model := DModel;
N_heads := NHeads;
D_head := DModel div NHeads;
SetLength(Heads, NHeads);
for i := 0 to NHeads - 1 do
Heads[i].Initialize(DModel, D_head);
end;
procedure TMultiHeadAttention.Forward(var Output: TTensorData; const Input: TTensorData;
CausalMask: Boolean = True);
var
i, SeqLen, BatchSize: Integer;
Q, K, V, Head_i, Temp, Concat: TTensorData;
S: TShape;
begin
SeqLen := Input.Shape.Dims[0];
BatchSize := Input.Shape.Dims[1] div D_model;
S.Init(SeqLen, D_head * N_heads, 0, 0);
Concat.Allocate(S);
Concat.Fill(0);
for i := 0 to N_heads - 1 do begin
TensorOps.MatMul(Q, Heads[i].W_Q, Input);
TensorOps.MatMul(K, Heads[i].W_K, Input);
TensorOps.MatMul(V, Heads[i].W_V, Input);
TScaledDotProductAttention.Forward(Head_i, Q, K, V, CausalMask);
TensorOps.MatMul(Temp, Heads[i].W_O, Head_i);
Move(Temp.Data[0], Concat.Data[i * D_head], D_head * SizeOf(Single));
end;
Output.Copy(Concat);
end;
procedure TMultiHeadAttention.ForwardWithJacobian(var Output: TTensorData; var Jac: TJacobianBlock;
const Input: TTensorData; CausalMask: Boolean = True);
var
i, SeqLen: Integer;
Q, K, V, AttOutput, Temp: TTensorData;
S: TShape;
HeadJac: TJacobianBlock;
begin
SeqLen := Input.Shape.Dims[0];
Jac.Allocate(Input.Shape.TotalSize, Input.Shape.TotalSize);
Jac.Clear;
if N_heads > 0 then begin
TensorOps.MatMul(Q, Heads[0].W_Q, Input);
TensorOps.MatMul(K, Heads[0].W_K, Input);
TensorOps.MatMul(V, Heads[0].W_V, Input);
TScaledDotProductAttention.Forward(AttOutput, Q, K, V, CausalMask);
TensorOps.MatMul(Output, Heads[0].W_O, AttOutput);
Jac.InputData.Copy(Input);
Jac.OutputData.Copy(Output);
end;
end;
procedure TMultiHeadAttention.Backward(var Grad: TTensorData; const DLoss: TTensorData;
const Input: TTensorData; CausalMask: Boolean = True);
begin
Grad.Copy(DLoss);
end;
class procedure TScaledDotProductAttention.ComputeAttentionScores(var Scores: TTensorData;
const Q, K: TTensorData; CausalMask: Boolean = True);
var
SeqLen, D_k, i, j, Mask: Integer;
S: TShape;
QK_T, Temp: TTensorData;
ScaleFactor: Single;
begin
SeqLen := Q.Shape.Dims[0];
D_k := Q.Shape.Dims[1];
ScaleFactor := 1.0 / Sqrt(D_k);
S.Init(SeqLen, SeqLen, 0, 0);
TensorOps.Transpose(Temp, K);
TensorOps.MatMul(QK_T, Q, Temp);
TensorOps.Scale(QK_T, ScaleFactor);
if CausalMask then begin
for i := 0 to SeqLen - 1 do begin
for j := i + 1 to SeqLen - 1 do begin
QK_T.Data[i * SeqLen + j] := -1e9;
end;
end;
end;
TSoftmax.Forward(Scores, QK_T, 1);
end;
class procedure TScaledDotProductAttention.Forward(var Output: TTensorData;
const Q, K, V: TTensorData; CausalMask: Boolean = True);
var
Scores, Temp: TTensorData;
begin
ComputeAttentionScores(Scores, Q, K, CausalMask);
TensorOps.MatMul(Output, Scores, V);
end;
class procedure TScaledDotProductAttention.Backward(var DQ, DK, DV: TTensorData;
const DOutput, Q, K, V: TTensorData;
const Scores: TTensorData;
CausalMask: Boolean = True);
var
SeqLen, D_model, D_k, i, j: Integer;
Temp, Temp2, Scores_T, V_T, K_T, Q_T: TTensorData;
ScaleFactor, DScore: Single;
S: TShape;
begin
SeqLen := Q.Shape.Dims[0];
D_model := V.Shape.Dims[1];
D_k := Q.Shape.Dims[1];
ScaleFactor := 1.0 / Sqrt(D_k);
S.Init(SeqLen, D_model, 0, 0);
DV.Allocate(S);
S.Init(SeqLen, D_k, 0, 0);
DQ.Allocate(S);
DK.Allocate(S);
TensorOps.Transpose(Scores_T, Scores);
TensorOps.MatMul(DV, Scores_T, DOutput);
TensorOps.Transpose(V_T, V);
TensorOps.MatMul(Temp, DOutput, V_T);
TensorOps.Scale(Temp, ScaleFactor);
TensorOps.MatMul(DQ, Temp, K);
TensorOps.Transpose(Temp2, Temp);
TensorOps.MatMul(DK, Temp2, Q);
end;
end.
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