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https://github.com/mudler/LocalAI.git
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* fix(stores): Actually check a vector is a unit vector/normalized Instead of just summing the components to see if they equal 1.0, take the actual magnitude/p-norm of the vector and check that is approximately 1.0. Note that this shouldn't change the order of results except in edge cases if I am too lax with the precision of the equality comparison. However it should improve performance for normalized vectors which were being misclassified. Signed-off-by: Richard Palethorpe <io@richiejp.com> * fix(stores): Add tests for known results and triangle inequality This adds some more tests to check the cosine similarity function has some expected mathematical properties. Signed-off-by: Richard Palethorpe <io@richiejp.com> --------- Signed-off-by: Richard Palethorpe <io@richiejp.com>
351 lines
11 KiB
Go
351 lines
11 KiB
Go
package integration_test
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import (
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"context"
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"embed"
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"math"
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"math/rand"
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"os"
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"path/filepath"
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. "github.com/onsi/ginkgo/v2"
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. "github.com/onsi/gomega"
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"github.com/rs/zerolog"
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"github.com/rs/zerolog/log"
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"github.com/mudler/LocalAI/core/config"
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"github.com/mudler/LocalAI/pkg/assets"
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"github.com/mudler/LocalAI/pkg/grpc"
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"github.com/mudler/LocalAI/pkg/model"
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"github.com/mudler/LocalAI/pkg/store"
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)
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//go:embed backend-assets/*
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var backendAssets embed.FS
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func normalize(vecs [][]float32) {
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for i, k := range vecs {
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norm := float64(0)
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for _, x := range k {
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norm += float64(x * x)
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}
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norm = math.Sqrt(norm)
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for j, x := range k {
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vecs[i][j] = x / float32(norm)
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}
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}
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}
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var _ = Describe("Integration tests for the stores backend(s) and internal APIs", Label("stores"), func() {
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Context("Embedded Store get,set and delete", func() {
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var sl *model.ModelLoader
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var sc grpc.Backend
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var tmpdir string
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BeforeEach(func() {
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var err error
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zerolog.SetGlobalLevel(zerolog.DebugLevel)
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tmpdir, err = os.MkdirTemp("", "")
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Expect(err).ToNot(HaveOccurred())
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backendAssetsDir := filepath.Join(tmpdir, "backend-assets")
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err = os.Mkdir(backendAssetsDir, 0750)
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Expect(err).ToNot(HaveOccurred())
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err = assets.ExtractFiles(backendAssets, backendAssetsDir)
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Expect(err).ToNot(HaveOccurred())
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debug := true
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bc := config.BackendConfig{
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Name: "store test",
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Debug: &debug,
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Backend: model.LocalStoreBackend,
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}
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storeOpts := []model.Option{
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model.WithBackendString(bc.Backend),
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model.WithAssetDir(backendAssetsDir),
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model.WithModel("test"),
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}
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sl = model.NewModelLoader("")
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sc, err = sl.Load(storeOpts...)
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Expect(err).ToNot(HaveOccurred())
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Expect(sc).ToNot(BeNil())
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})
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AfterEach(func() {
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err := sl.StopAllGRPC()
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Expect(err).ToNot(HaveOccurred())
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err = os.RemoveAll(tmpdir)
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Expect(err).ToNot(HaveOccurred())
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})
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It("should be able to set a key", func() {
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err := store.SetSingle(context.Background(), sc, []float32{0.1, 0.2, 0.3}, []byte("test"))
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Expect(err).ToNot(HaveOccurred())
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})
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It("should be able to set keys", func() {
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err := store.SetCols(context.Background(), sc, [][]float32{{0.1, 0.2, 0.3}, {0.4, 0.5, 0.6}}, [][]byte{[]byte("test1"), []byte("test2")})
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Expect(err).ToNot(HaveOccurred())
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err = store.SetCols(context.Background(), sc, [][]float32{{0.7, 0.8, 0.9}, {0.10, 0.11, 0.12}}, [][]byte{[]byte("test3"), []byte("test4")})
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Expect(err).ToNot(HaveOccurred())
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})
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It("should be able to get a key", func() {
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err := store.SetSingle(context.Background(), sc, []float32{0.1, 0.2, 0.3}, []byte("test"))
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Expect(err).ToNot(HaveOccurred())
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val, err := store.GetSingle(context.Background(), sc, []float32{0.1, 0.2, 0.3})
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Expect(err).ToNot(HaveOccurred())
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Expect(val).To(Equal([]byte("test")))
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})
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It("should be able to get keys", func() {
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//set 3 entries
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err := store.SetCols(context.Background(), sc, [][]float32{{0.1, 0.2, 0.3}, {0.4, 0.5, 0.6}, {0.7, 0.8, 0.9}}, [][]byte{[]byte("test1"), []byte("test2"), []byte("test3")})
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Expect(err).ToNot(HaveOccurred())
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//get 3 entries
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keys, vals, err := store.GetCols(context.Background(), sc, [][]float32{{0.1, 0.2, 0.3}, {0.4, 0.5, 0.6}, {0.7, 0.8, 0.9}})
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Expect(err).ToNot(HaveOccurred())
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Expect(keys).To(HaveLen(3))
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Expect(vals).To(HaveLen(3))
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for i, k := range keys {
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v := vals[i]
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if k[0] == 0.1 && k[1] == 0.2 && k[2] == 0.3 {
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Expect(v).To(Equal([]byte("test1")))
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} else if k[0] == 0.4 && k[1] == 0.5 && k[2] == 0.6 {
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Expect(v).To(Equal([]byte("test2")))
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} else {
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Expect(k).To(Equal([]float32{0.7, 0.8, 0.9}))
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Expect(v).To(Equal([]byte("test3")))
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}
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}
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//get 2 entries
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keys, vals, err = store.GetCols(context.Background(), sc, [][]float32{{0.7, 0.8, 0.9}, {0.1, 0.2, 0.3}})
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Expect(err).ToNot(HaveOccurred())
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Expect(keys).To(HaveLen(2))
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Expect(vals).To(HaveLen(2))
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for i, k := range keys {
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v := vals[i]
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if k[0] == 0.1 && k[1] == 0.2 && k[2] == 0.3 {
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Expect(v).To(Equal([]byte("test1")))
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} else {
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Expect(k).To(Equal([]float32{0.7, 0.8, 0.9}))
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Expect(v).To(Equal([]byte("test3")))
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}
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}
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})
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It("should be able to delete a key", func() {
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err := store.SetSingle(context.Background(), sc, []float32{0.1, 0.2, 0.3}, []byte("test"))
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Expect(err).ToNot(HaveOccurred())
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err = store.DeleteSingle(context.Background(), sc, []float32{0.1, 0.2, 0.3})
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Expect(err).ToNot(HaveOccurred())
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val, _ := store.GetSingle(context.Background(), sc, []float32{0.1, 0.2, 0.3})
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Expect(val).To(BeNil())
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})
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It("should be able to delete keys", func() {
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//set 3 entries
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err := store.SetCols(context.Background(), sc, [][]float32{{0.1, 0.2, 0.3}, {0.4, 0.5, 0.6}, {0.7, 0.8, 0.9}}, [][]byte{[]byte("test1"), []byte("test2"), []byte("test3")})
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Expect(err).ToNot(HaveOccurred())
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//delete 2 entries
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err = store.DeleteCols(context.Background(), sc, [][]float32{{0.1, 0.2, 0.3}, {0.7, 0.8, 0.9}})
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Expect(err).ToNot(HaveOccurred())
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//get 1 entry
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keys, vals, err := store.GetCols(context.Background(), sc, [][]float32{{0.4, 0.5, 0.6}})
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Expect(err).ToNot(HaveOccurred())
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Expect(keys).To(HaveLen(1))
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Expect(vals).To(HaveLen(1))
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Expect(keys[0]).To(Equal([]float32{0.4, 0.5, 0.6}))
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Expect(vals[0]).To(Equal([]byte("test2")))
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//get deleted entries
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keys, vals, err = store.GetCols(context.Background(), sc, [][]float32{{0.1, 0.2, 0.3}, {0.7, 0.8, 0.9}})
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Expect(err).ToNot(HaveOccurred())
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Expect(keys).To(HaveLen(0))
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Expect(vals).To(HaveLen(0))
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})
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It("should be able to find smilar keys", func() {
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// set 3 vectors that are at varying angles to {0.5, 0.5, 0.5}
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err := store.SetCols(context.Background(), sc, [][]float32{{0.5, 0.5, 0.5}, {0.6, 0.6, -0.6}, {0.7, -0.7, -0.7}}, [][]byte{[]byte("test1"), []byte("test2"), []byte("test3")})
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Expect(err).ToNot(HaveOccurred())
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// find similar keys
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keys, vals, sims, err := store.Find(context.Background(), sc, []float32{0.1, 0.3, 0.5}, 2)
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Expect(err).ToNot(HaveOccurred())
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Expect(keys).To(HaveLen(2))
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Expect(vals).To(HaveLen(2))
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Expect(sims).To(HaveLen(2))
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for i, k := range keys {
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s := sims[i]
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log.Debug().Float32("similarity", s).Msgf("key: %v", k)
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}
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Expect(keys[0]).To(Equal([]float32{0.5, 0.5, 0.5}))
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Expect(vals[0]).To(Equal([]byte("test1")))
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Expect(keys[1]).To(Equal([]float32{0.6, 0.6, -0.6}))
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})
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It("should be able to find similar normalized keys", func() {
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// set 3 vectors that are at varying angles to {0.5, 0.5, 0.5}
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keys := [][]float32{{0.1, 0.3, 0.5}, {0.5, 0.5, 0.5}, {0.6, 0.6, -0.6}, {0.7, -0.7, -0.7}}
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vals := [][]byte{[]byte("test0"), []byte("test1"), []byte("test2"), []byte("test3")}
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normalize(keys)
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err := store.SetCols(context.Background(), sc, keys, vals)
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Expect(err).ToNot(HaveOccurred())
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// find similar keys
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ks, vals, sims, err := store.Find(context.Background(), sc, keys[0], 3)
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Expect(err).ToNot(HaveOccurred())
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Expect(ks).To(HaveLen(3))
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Expect(vals).To(HaveLen(3))
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Expect(sims).To(HaveLen(3))
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for i, k := range ks {
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s := sims[i]
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log.Debug().Float32("similarity", s).Msgf("key: %v", k)
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}
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Expect(ks[0]).To(Equal(keys[0]))
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Expect(vals[0]).To(Equal(vals[0]))
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Expect(sims[0]).To(BeNumerically("~", 1, 0.0001))
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Expect(ks[1]).To(Equal(keys[1]))
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Expect(vals[1]).To(Equal(vals[1]))
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})
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It("It produces the correct cosine similarities for orthogonal and opposite unit vectors", func() {
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keys := [][]float32{{1.0, 0.0, 0.0}, {0.0, 1.0, 0.0}, {0.0, 0.0, 1.0}, {-1.0, 0.0, 0.0}}
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vals := [][]byte{[]byte("x"), []byte("y"), []byte("z"), []byte("-z")}
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err := store.SetCols(context.Background(), sc, keys, vals);
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Expect(err).ToNot(HaveOccurred())
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_, _, sims, err := store.Find(context.Background(), sc, keys[0], 4)
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Expect(err).ToNot(HaveOccurred())
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Expect(sims).To(Equal([]float32{1.0, 0.0, 0.0, -1.0}))
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})
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It("It produces the correct cosine similarities for orthogonal and opposite vectors", func() {
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keys := [][]float32{{1.0, 0.0, 1.0}, {0.0, 2.0, 0.0}, {0.0, 0.0, -1.0}, {-1.0, 0.0, -1.0}}
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vals := [][]byte{[]byte("x"), []byte("y"), []byte("z"), []byte("-z")}
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err := store.SetCols(context.Background(), sc, keys, vals);
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Expect(err).ToNot(HaveOccurred())
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_, _, sims, err := store.Find(context.Background(), sc, keys[0], 4)
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Expect(err).ToNot(HaveOccurred())
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Expect(sims[0]).To(BeNumerically("~", 1, 0.1))
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Expect(sims[1]).To(BeNumerically("~", 0, 0.1))
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Expect(sims[2]).To(BeNumerically("~", -0.7, 0.1))
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Expect(sims[3]).To(BeNumerically("~", -1, 0.1))
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})
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expectTriangleEq := func(keys [][]float32, vals [][]byte) {
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sims := map[string]map[string]float32{}
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// compare every key vector pair and store the similarities in a lookup table
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// that uses the values as keys
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for i, k := range keys {
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_, valsk, simsk, err := store.Find(context.Background(), sc, k, 9)
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Expect(err).ToNot(HaveOccurred())
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for j, v := range valsk {
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p := string(vals[i])
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q := string(v)
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if sims[p] == nil {
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sims[p] = map[string]float32{}
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}
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//log.Debug().Strs("vals", []string{p, q}).Float32("similarity", simsk[j]).Send()
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sims[p][q] = simsk[j]
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}
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}
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// Check that the triangle inequality holds for every combination of the triplet
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// u, v and w
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for _, simsu := range sims {
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for w, simw := range simsu {
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// acos(u,w) <= ...
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uws := math.Acos(float64(simw))
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// ... acos(u,v) + acos(v,w)
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for v, _ := range simsu {
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uvws := math.Acos(float64(simsu[v])) + math.Acos(float64(sims[v][w]))
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//log.Debug().Str("u", u).Str("v", v).Str("w", w).Send()
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//log.Debug().Float32("uw", simw).Float32("uv", simsu[v]).Float32("vw", sims[v][w]).Send()
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Expect(uws).To(BeNumerically("<=", uvws))
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}
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}
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}
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}
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It("It obeys the triangle inequality for normalized values", func() {
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keys := [][]float32{
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{1.0, 0.0, 0.0}, {0.0, 1.0, 0.0}, {0.0, 0.0, 1.0},
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{-1.0, 0.0, 0.0}, {0.0, -1.0, 0.0}, {0.0, 0.0, -1.0},
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{2.0, 3.0, 4.0}, {9.0, 7.0, 1.0}, {0.0, -1.2, 2.3},
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}
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vals := [][]byte{
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[]byte("x"), []byte("y"), []byte("z"),
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[]byte("-x"), []byte("-y"), []byte("-z"),
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[]byte("u"), []byte("v"), []byte("w"),
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}
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normalize(keys[6:])
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err := store.SetCols(context.Background(), sc, keys, vals);
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Expect(err).ToNot(HaveOccurred())
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expectTriangleEq(keys, vals)
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})
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It("It obeys the triangle inequality", func() {
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rnd := rand.New(rand.NewSource(151))
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keys := make([][]float32, 20)
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vals := make([][]byte, 20)
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for i := range keys {
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k := make([]float32, 768)
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for j := range k {
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k[j] = rnd.Float32()
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}
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keys[i] = k
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}
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c := byte('a')
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for i := range vals {
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vals[i] = []byte{c}
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c += 1
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}
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err := store.SetCols(context.Background(), sc, keys, vals);
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Expect(err).ToNot(HaveOccurred())
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expectTriangleEq(keys, vals)
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})
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})
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})
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