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542 lines
20 KiB
Haskell
542 lines
20 KiB
Haskell
-- Copyright 2016 TensorFlow authors.
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--
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-- Licensed under the Apache License, Version 2.0 (the "License");
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-- you may not use this file except in compliance with the License.
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-- You may obtain a copy of the License at
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--
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-- http://www.apache.org/licenses/LICENSE-2.0
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--
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-- Unless required by applicable law or agreed to in writing, software
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-- distributed under the License is distributed on an "AS IS" BASIS,
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-- WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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-- See the License for the specific language governing permissions and
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-- limitations under the License.
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{-# LANGUAGE OverloadedStrings #-}
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{-# LANGUAGE NoMonomorphismRestriction #-}
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{-# LANGUAGE ScopedTypeVariables #-}
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{-# LANGUAGE FlexibleContexts #-}
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import Data.Int (Int32, Int64)
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import Data.List (sort)
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import qualified Data.List as List
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import Data.ProtoLens.TextFormat (showMessage)
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import Test.Framework (defaultMain, Test)
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import Lens.Family2 ((^..), (.~))
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import Test.Framework.Providers.HUnit (testCase)
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import Test.HUnit ((@=?), assertEqual)
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import qualified Data.Vector as V
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import System.Random (randomIO, randomRIO)
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import Control.Monad(forM_, replicateM, zipWithM)
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import Control.Monad.IO.Class (liftIO)
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import qualified TensorFlow.Core as TF
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import qualified TensorFlow.GenOps.Core as TF (conv2DBackpropInput', max, maximum, tile, pad, batchToSpaceND, spaceToBatchND, squeeze, sqrt)
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import qualified TensorFlow.Gradient as TF
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import qualified TensorFlow.Ops as TF hiding (zeroInitializedVariable)
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import qualified TensorFlow.Output as TF
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import qualified TensorFlow.Types as TF
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import qualified TensorFlow.Variable as TF
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import Proto.Tensorflow.Core.Framework.Graph_Fields (node)
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import Proto.Tensorflow.Core.Framework.NodeDef_Fields (op)
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import qualified Data.ByteString.Char8 as BS
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import TensorFlow.Session (SessionT)
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testGradientSimple :: Test
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testGradientSimple = testCase "testGradientSimple" $ do
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let grads = do
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x <- TF.render $ TF.scalar (3 :: Float)
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b <- TF.render $ TF.scalar (4 :: Float)
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let y = x `TF.mul` x `TF.add` b
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TF.gradients y [x, b]
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-- Assert that the gradients are right.
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[dx, db] <- TF.runSession $ grads >>= TF.run
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6 @=? TF.unScalar dx
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1 @=? TF.unScalar db
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-- Assert that the graph has the expected ops.
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let graphDef = TF.asGraphDef grads
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putStrLn $ showMessage graphDef
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let ops = graphDef ^.. node . traverse . op
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expected = [ "Const"
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, "Mul"
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, "Const"
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, "Add"
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-- Default output gradient of y.
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, "Shape"
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, "Const"
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, "Fill"
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-- Add gradient.
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, "Shape"
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, "Shape"
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, "BroadcastGradientArgs"
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, "Sum"
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, "Sum"
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, "Reshape"
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, "Reshape"
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-- Mul gradient.
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, "Shape"
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-- This Op gets dedup'd because the inputs are the same.
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-- TODO(fmayle): The same would happen to the Mul and Sum ops
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-- below if the gradient function didn't multiply one as
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-- 'dz * y' and the other as 'x * dz'. We could change the
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-- order, but I'm going to keep it the same as the python
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-- version for now.
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--
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-- , "Shape"
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, "BroadcastGradientArgs"
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, "Mul"
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, "Mul"
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, "Sum"
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, "Sum"
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, "Reshape"
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, "Reshape"
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-- AddN to combine x's output gradients.
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, "AddN"
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]
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sort expected @=? sort ops
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testGradientDisconnected :: Test
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testGradientDisconnected = testCase "testGradientDisconnected" $ do
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let grads = do
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x <- TF.render $ TF.scalar (3 :: Float)
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b <- TF.render $ TF.scalar (4 :: Float)
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TF.gradients x [x, b]
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-- Assert that the gradients are right.
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[dx, db] <- TF.runSession $ grads >>= TF.run
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1 @=? TF.unScalar dx
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0 @=? TF.unScalar db
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-- Assert that the graph has the expected ops.
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let graphDef = TF.asGraphDef grads
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putStrLn $ showMessage graphDef
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let ops = graphDef ^.. node . traverse . op
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expected = [ "Const"
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, "Const"
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-- Default output gradient of x.
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, "Shape"
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, "Const"
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, "Fill"
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-- Default output gradient of b.
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, "ZerosLike"
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]
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sort expected @=? sort ops
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-- Test that identical "stateful" ops work with createGraph.
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testCreateGraphStateful :: Test
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testCreateGraphStateful = testCase "testCreateGraphStateful" $ do
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[dx, dy] <- TF.runSession $ do
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let shape = TF.constant (TF.Shape [1]) [1]
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x :: TF.Tensor TF.Value Float <- TF.truncatedNormal shape
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y :: TF.Tensor TF.Value Float <- TF.truncatedNormal shape
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TF.gradients (TF.expr x + TF.expr y * 3) [x, y] >>= TF.run
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-- If this test fails, it will likely be caused by an exception within
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-- `TF.gradients`. These asserts are extra.
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1 @=? TF.unScalar dx
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3 @=? TF.unScalar dy
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-- Test that name scopes work with createGraph.
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testCreateGraphNameScopes :: Test
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testCreateGraphNameScopes = testCase "testCreateGraphNameScopes" $ do
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[dx] <- TF.runSession $ do
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let shape = TF.constant (TF.Shape [1]) [1]
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x :: TF.Tensor TF.Value Float <-
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TF.withNameScope "foo" (TF.truncatedNormal shape)
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TF.gradients x [x] >>= TF.run
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-- If this test fails, it will likely be caused by an exception within
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-- `TF.gradients`. This assert is extra.
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1 @=? TF.unScalar dx
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-- Test that createGraph can handle graphs with diamond shapes.
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testDiamond :: Test
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testDiamond = testCase "testDiamond" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [1]
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let y = x `TF.mul` x
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z = y*y
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TF.gradients z [x] >>= TF.run
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(4 :: Float) @=? TF.unScalar dx
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testAddNGradient :: Test
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testAddNGradient = testCase "testAddNGradient" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [1, 2, 0 :: Float]
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let y = TF.addN [x, x]
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TF.gradients y [x] >>= TF.run
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V.fromList [2, 2, 2 :: Float] @=? dx
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testMaxGradient :: Test
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testMaxGradient = testCase "testMaxGradient" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [1, 2, 3, 0, 1 :: Float]
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let y = TF.max x (0 :: TF.Tensor TF.Build Int32)
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TF.gradients y [x] >>= TF.run
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V.fromList [0, 0, 1, 0, 0 :: Float] @=? dx
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testConcatGradient :: Test
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testConcatGradient = testCase "testConcatGradient" $ do
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[dv,dv'] <- TF.runSession $ do
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v <- TF.render $ TF.vector [1 :: Float]
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v' <- TF.render $ TF.vector [2 :: Float]
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let y = TF.concat (TF.scalar 0) [ v, v' ]
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TF.gradients y [v,v'] >>= TF.run
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V.fromList [1 :: Float] @=? dv
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V.fromList [1 :: Float] @=? dv'
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[dw,dw'] <- TF.runSession $ do
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w <- TF.render $ TF.vector [1,2,3,4 :: Float]
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w' <- TF.render $ TF.vector [5,6,7,8 :: Float]
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let y = TF.concat (TF.scalar 0) [ w, w', w ]
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TF.gradients y [w,w'] >>= TF.run
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V.fromList [2,2,2,2 :: Float] @=? dw
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V.fromList [1,1,1,1 :: Float] @=? dw'
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verifyConcatGradients :: [[Int64]] -> Int32 -> IO ()
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verifyConcatGradients shapes concatDim = do
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let floatsFromShape :: [Int64] -> IO [Float]
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floatsFromShape shape = replicateM (fromIntegral $ List.product shape) randomIO
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constantZip = zipWithM $ \x shape -> TF.render $ TF.constant (TF.Shape shape) x
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inputGrads <- mapM floatsFromShape shapes
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inputs <- mapM floatsFromShape shapes
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dinputs <- TF.runSession $ do
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inputTensors <- inputs `constantZip` shapes
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inputGradTensors <- inputGrads `constantZip` shapes
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inputTensor <- TF.render $ TF.concat (TF.scalar concatDim) inputTensors
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inputGradTensor <- TF.render $ TF.concat (TF.scalar concatDim) inputGradTensors
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output <- TF.render $ inputTensor `TF.mul` inputGradTensor
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TF.gradients output inputTensors >>= TF.run
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(V.fromList <$> inputGrads) @=? dinputs
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-- This test checks that the gradient of a concat op
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-- is correct along the first, second, and third dimension.
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testConcatGradientSimple :: Test
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testConcatGradientSimple = testCase "testConcatGradientSimple" $ do
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-- The following check is equivalent to ConcatTest._testGradientsSimple from
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-- tensorflow/tensorflow/compiler/tests/concat_ops_test.py
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verifyConcatGradients [[10,x,2] | x <- [1,2,6]] 1
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-- The following check is equivalent to ConcatTest._testGradientsFirstDim from
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-- tensorflow/tensorflow/compiler/tests/concat_ops_test.py
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verifyConcatGradients [[x,10,2] | x <- [1,2,6]] 0
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-- The following check is equivalent to ConcatTest._testGradientsLastDim from
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-- tensorflow/tensorflow/compiler/tests/concat_ops_test.py
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verifyConcatGradients [[10,2,x] | x <- [1,2,6]] 2
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-- This test checks that the gradient of a concat op
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-- along a random dimension across random shapes is as expected.
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-- This test is inspired by ConcatTest._RunAndVerifyGradientsRandom from
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-- tensorflow/tensorflow/compiler/tests/concat_ops_test.py, but also
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-- verifies the gradient along negative concat dimensions.
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testConcatRunAndVerifyGradientsRandom :: Test
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testConcatRunAndVerifyGradientsRandom = testCase "testConcatRunAndVerifyGradientsRandom" $
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forM_ [1..5 :: Int] $ \_ -> do
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(shapes' :: [Int64]) <- replicateM 5 $ randomRIO (1, 5)
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(numTensors :: Int) <- randomRIO (2, 10)
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(concatDim :: Int) <- randomRIO (-4, 4)
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(concatDimSizes :: [Int64]) <- replicateM numTensors $ randomRIO (1, 5)
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let update i xs x = take i xs ++ x: drop (i+1) xs
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concatDim' = concatDim `mod` length shapes'
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shapes = map (update concatDim' shapes') concatDimSizes
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verifyConcatGradients shapes $ fromIntegral concatDim
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-- run single test like this:
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-- stack --docker --docker-image=$IMAGE_NAME test tensorflow-ops:GradientTest --test-arguments -t"*MaximumGrad*"
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testMaximumGrad :: Test
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testMaximumGrad = testCase "testMaximumGrad" $ do
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[gx, gy] <- TF.runSession $ do
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x <- TF.render $ TF.vector [0 :: Float]
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y <- TF.render $ TF.vector [0 :: Float]
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let z = TF.maximum x y
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TF.gradients z [x, y] >>= TF.run
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V.fromList [1] @=? gx
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V.fromList [1] @=? gy
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testMaximumGradGrad :: Test
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testMaximumGradGrad = testCase "testMaximumGradGrad" $ do
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[ggx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [2 :: Float]
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y <- TF.render $ TF.vector [1 :: Float]
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let z = TF.maximum x y
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[gx, _gy] <- TF.gradients z [x, y]
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TF.gradients gx [x] >>= TF.run
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V.fromList [0] @=? ggx
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testReluGrad :: Test
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testReluGrad = testCase "testReluGrad" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [2 :: Float]
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let y = TF.relu x
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TF.gradients y [x] >>= TF.run
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V.fromList [1] @=? dx
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testReluGradGrad :: Test
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testReluGradGrad = testCase "testReluGradGrad" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [2 :: Float]
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let y = TF.relu x
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[y'] <- TF.gradients y [x]
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TF.gradients y' [x] >>= TF.run
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V.fromList [0] @=? dx
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testTanhGrad :: Test
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testTanhGrad = testCase "testTanhGrad" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [0 :: Float]
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let y = TF.tanh x
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TF.gradients y [x] >>= TF.run
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V.fromList [1] @=? dx
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testExpandDims :: Test
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testExpandDims =
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testCase "testExpandDims" $ do
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([dx], [s]) <-
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TF.runSession $ do
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(x :: TF.Tensor TF.Value Float) <- TF.render $ TF.zeros $ TF.Shape [1, 2, 3 :: Int64]
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let y = TF.expandDims x $ TF.constant (TF.Shape [1]) [0 :: Int32]
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calculateGradWithShape y x
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V.fromList [1, 1, 1, 1, 1, 1] @=? dx
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V.fromList [1, 2, 3] @=? s
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testReshape :: Test
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testReshape =
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testCase "testReshape" $ do
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([dx], [s]) <-
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TF.runSession $ do
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(x :: TF.Tensor TF.Value Float) <- TF.render $ TF.zeros $ TF.Shape [2, 2 :: Int64]
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let y = TF.reshape x $ TF.constant (TF.Shape [2]) [1, 4 :: Int32]
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calculateGradWithShape y x
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V.fromList [1, 1, 1, 1] @=? dx
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V.fromList [2, 2] @=? s
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testPad :: Test
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testPad =
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testCase "testPad" $ do
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([dx], [s]) <-
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TF.runSession $ do
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(x :: TF.Tensor TF.Value Float) <- TF.render $ TF.zeros $ TF.Shape [2, 2, 3 :: Int64]
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let y = TF.pad x $ TF.constant (TF.Shape [3, 2]) [1, 4, 1, 1, 2, 3 :: Int32]
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calculateGradWithShape y x
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V.fromList [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] @=? dx
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V.fromList [2, 2, 3] @=? s
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testSqrt :: Test
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testSqrt = testCase "testSqrt" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [0.0625 :: Float]
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let y = TF.sqrt x
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TF.gradients y [x] >>= TF.run
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V.fromList [2] @=? dx
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testBatchToSpaceND :: Test
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testBatchToSpaceND =
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testCase "testBatchToSpaceND" $ do
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([dx], [s]) <-
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TF.runSession $ do
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(x :: TF.Tensor TF.Value Float) <- TF.render $ TF.constant (TF.Shape [4, 1, 1, 1 :: Int64]) [1, 2, 3, 4]
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shape <- TF.render $ TF.vector [2, 2 :: Int32]
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crops <- TF.render $ TF.constant (TF.Shape [2, 2]) [0, 0, 0, 0 :: Int32]
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let y = TF.batchToSpaceND x shape crops
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calculateGradWithShape y x
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V.fromList [1, 1, 1, 1] @=? dx
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V.fromList [4, 1, 1, 1] @=? s
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testSpaceToBatchND :: Test
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testSpaceToBatchND =
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testCase "testSpaceToBatchND" $ do
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([dx], [s]) <-
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TF.runSession $ do
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(x :: TF.Tensor TF.Value Float) <- TF.render $ TF.constant (TF.Shape [1, 2, 2, 1 :: Int64]) [1, 2, 3, 4]
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shape <- TF.render $ TF.vector [2, 2 :: Int32]
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paddings <- TF.render $ TF.constant (TF.Shape [2, 2]) [0, 0, 0, 0 :: Int32]
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let y = TF.spaceToBatchND x shape paddings
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calculateGradWithShape y x
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V.fromList [1, 1, 1, 1] @=? dx
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V.fromList [1, 2, 2, 1] @=? s
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testSqueeze :: Test
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testSqueeze =
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testCase "testSqueeze" $ do
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([dx], [s]) <-
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TF.runSession $ do
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(x :: TF.Tensor TF.Value Float) <- TF.render $ TF.zeros $ TF.Shape [1, 2, 3 :: Int64]
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let y = TF.squeeze x
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calculateGradWithShape y x
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V.fromList [1, 1, 1, 1, 1, 1] @=? dx
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V.fromList [1, 2, 3] @=? s
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calculateGradWithShape :: TF.Tensor TF.Build Float -> TF.Tensor TF.Value Float -> SessionT IO ([V.Vector Float], [V.Vector Int32])
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calculateGradWithShape y x = do
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gs <- TF.gradients y [x]
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xs <- TF.run gs
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(shapes :: [V.Vector Int32]) <- mapM (TF.run . TF.shape) gs
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return (xs, shapes)
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testFillGrad :: Test
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testFillGrad = testCase "testFillGrad" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.scalar (9 :: Float)
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let shape = TF.vector [2, 3 :: Int32]
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let y = TF.fill shape x
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TF.gradients y [x] >>= TF.run
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V.fromList [6] @=? dx
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testTileGrad :: Test
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testTileGrad = testCase "testTileGrad" $ do
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[dx] <- TF.runSession $ do
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x <- TF.render $ TF.vector [5, 9 :: Float]
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let multiples = TF.vector [2 :: Int32]
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let y = TF.tile x multiples
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TF.gradients y [x] >>= TF.run
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V.fromList [2, 2] @=? dx
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testTile2DGrad :: Test
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testTile2DGrad = testCase "testTileGrad2D" $ do
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(dx, shapeDX, shapeX) <- TF.runSession $ do
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let shape = TF.vector [3, 2 :: Int32]
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x <- TF.render $ TF.fill shape (TF.scalar (1::Float))
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let multiples = TF.vector [2, 3 :: Int32]
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let y = TF.tile x multiples
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[dx] <- TF.gradients y [x]
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TF.run (dx, TF.shape dx, TF.shape x)
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shapeX @=? (shapeDX :: V.Vector Int32)
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V.fromList [6, 6, 6, 6, 6, 6::Float] @=? (dx :: V.Vector Float)
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matMulGradient :: Test
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matMulGradient = testCase "matMulGradients" $ do
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let dfBuild = do
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x <- TF.render $ TF.zeros $ TF.Shape [3, 1 :: Int64]
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w <- TF.zeroInitializedVariable $ TF.Shape [1, 2 :: Int64]
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let f = x `TF.matMul` TF.readValue w :: TF.Tensor TF.Build Float
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dfs <- TF.gradients f [x]
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return (x, dfs)
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(xShape, dxShape) <- TF.runSession $ do
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(x, [dx]) <- TF.build dfBuild
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TF.run (TF.shape x, TF.shape dx)
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assertEqual "Shape of gradient must match shape of input" xShape (dxShape :: V.Vector Int32)
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-- test that gradient of matMul can be taken gradient of
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matMulGradGrad :: Test
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matMulGradGrad = testCase "matMulGradGrad" $ do
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let width = 2 :: Int64
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batch = 4 :: Int64
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|
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let tower = do
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x <- TF.render $ TF.zeros $ TF.Shape [batch, 1]
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w <- TF.zeroInitializedVariable $ TF.Shape [1, width]
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let f = x `TF.matMul` TF.readValue w
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[dfdx] <- TF.gradients f [x]
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let f'x = TF.reduceSum dfdx
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[dfdw] <- TF.gradients f'x [w] -- take gradient again (this time over w)
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return [TF.readValue w, TF.expr dfdw]
|
|
|
|
TF.runSession $ do
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[w, dfdw] <- TF.build tower
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|
(wShape, dfdwShape) <- TF.run (TF.shape w, TF.shape dfdw)
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|
liftIO $ assertEqual "Shape of gradient must match input" wShape (dfdwShape :: V.Vector Int32)
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|
|
|
let step = w `TF.add` dfdw
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|
w0 <- TF.run step
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|
liftIO $ V.fromList [4, 4 :: Float] @=? w0
|
|
|
|
|
|
-- test that gradient of matMul deals correctly with transpose_a and transpose_b
|
|
matMulTransposeGradient :: (Bool, Bool) -> Test
|
|
matMulTransposeGradient txw = testCase ("matMulTransposeGradients " ++ show txw) $ do
|
|
let (transposeX, transposeW) = txw
|
|
|
|
let dfBuild = do
|
|
let xShape = TF.Shape [3, 1 :: Int64]
|
|
let xZeros = TF.zeros xShape
|
|
x <- TF.render $ if transposeX then TF.matTranspose xZeros else xZeros
|
|
variable <- TF.zeroInitializedVariable $ TF.Shape [1, 2 :: Int64]
|
|
let wv = if transposeW then TF.matTranspose (TF.readValue variable) else TF.readValue variable
|
|
let f = TF.matMul' (transAttrs transposeX transposeW) x wv :: TF.Tensor TF.Build Float
|
|
w <- TF.render wv
|
|
ds <- TF.gradients f [x, w]
|
|
return (x, w, ds)
|
|
|
|
TF.runSession $ do
|
|
(x, w, [dx, dw]) <- TF.build dfBuild
|
|
xShape <- TF.run $ TF.shape x
|
|
dxShape <- TF.run $ TF.shape dx
|
|
liftIO $ assertEqual "xShape must match dxShape" xShape (dxShape :: V.Vector Int32)
|
|
|
|
wShape <- TF.run $ TF.shape w
|
|
dwShape <- TF.run $ TF.shape dw
|
|
liftIO $ assertEqual "wShape must match dwShape" wShape (dwShape :: V.Vector Int32)
|
|
|
|
transAttrs :: (TF.Attribute a,
|
|
TF.Attribute b) =>
|
|
a -> b -> TF.OpDef -> TF.OpDef
|
|
transAttrs a b =
|
|
(TF.opAttr "transpose_a" .~ a) . (TF.opAttr "transpose_b" .~ b)
|
|
|
|
testConv2DBackpropInputGrad :: Test
|
|
testConv2DBackpropInputGrad = testCase "testConv2DBackpropInputGrad" $ do
|
|
(dx, shapeDX, shapeX) <- TF.runSession $ do
|
|
let conv_input_shape = TF.vector [1, 2, 2, 1 :: Int32] -- [batch, h, w, in_channels]
|
|
let conv_out_shape = TF.vector [1, 1, 1, 1 :: Int32] -- [batch, h, w, out_channels]
|
|
x <- TF.render $ TF.fill conv_out_shape (TF.scalar (1::Float))
|
|
|
|
let filterShape = TF.vector [2, 2, 1, 1 :: Int32] -- [fh, fw, inc, out]
|
|
filter' <- TF.render $ TF.fill filterShape (TF.scalar (1::Float))
|
|
let y = TF.conv2DBackpropInput'
|
|
( (TF.opAttr "strides" .~ [1::Int64, 1, 1, 1])
|
|
. (TF.opAttr "padding" .~ (BS.pack "VALID"))
|
|
. (TF.opAttr "data_format" .~ (BS.pack "NHWC"))
|
|
)
|
|
conv_input_shape filter' x
|
|
|
|
[dx] <- TF.gradients y [x]
|
|
TF.run (dx, TF.shape dx, TF.shape x)
|
|
shapeX @=? (shapeDX :: V.Vector Int32)
|
|
V.fromList [4::Float] @=? (dx :: V.Vector Float)
|
|
|
|
|
|
main :: IO ()
|
|
main = defaultMain
|
|
[ testGradientSimple
|
|
, testGradientDisconnected
|
|
, testCreateGraphStateful
|
|
, testCreateGraphNameScopes
|
|
, testDiamond
|
|
, testAddNGradient
|
|
, testMaxGradient
|
|
, testConcatGradient
|
|
, testConcatGradientSimple
|
|
, testConcatRunAndVerifyGradientsRandom
|
|
, testMaximumGrad
|
|
, testMaximumGradGrad
|
|
, testReluGrad
|
|
, testReluGradGrad
|
|
, testTanhGrad
|
|
, testExpandDims
|
|
, testReshape
|
|
, testPad
|
|
, testSqrt
|
|
, testBatchToSpaceND
|
|
, testSpaceToBatchND
|
|
, testSqueeze
|
|
, testFillGrad
|
|
, testTileGrad
|
|
, testTile2DGrad
|
|
, matMulGradient
|
|
, matMulGradGrad
|
|
, matMulTransposeGradient (False, False)
|
|
, matMulTransposeGradient (False, True)
|
|
, matMulTransposeGradient (True, False)
|
|
, matMulTransposeGradient (True, True)
|
|
, testConv2DBackpropInputGrad
|
|
]
|