CUB-113: implement core CRUD API endpoints

- Add dtos package with request/response structs
- Add repositories: Material, Filament, Printer, PrintJob, UsageLog
- Add services: FilamentService, PrinterService, PrintJobService
- Add handlers for all 5 resources with consistent error responses
- Wire all endpoints into Chi router under /api
- Validation on POST/PUT filament endpoints
- Filter/pagination support on list endpoints
- Soft-delete for filaments (DELETE /api/filaments/{id})
- go build ./... && go vet ./... → PASS

backend/internal/handlers/helpers.go

@@ -0,0 +1,51 @@
+package handlers
+
+import (
+	"encoding/json"
+	"log/slog"
+	"net/http"
+	"strconv"
+
+	"github.com/CubeCraft-Creations/Extrudex/backend/internal/dtos"
+	"github.com/CubeCraft-Creations/Extrudex/backend/internal/services"
+)
+
+// writeJSON serializes v as JSON to the response writer with the given status code.
+// Logs an error if encoding fails.
+func writeJSON(w http.ResponseWriter, status int, v interface{}) {
+	w.Header().Set("Content-Type", "application/json")
+	w.WriteHeader(status)
+	if err := json.NewEncoder(w).Encode(v); err != nil {
+		slog.Error("failed to encode JSON response", "error", err)
+	}
+}
+
+// parsePagination reads limit and offset query parameters with defaults of 20 and 0.
+func parsePagination(r *http.Request) (limit, offset int) {
+	limit = 20
+	offset = 0
+
+	if l := r.URL.Query().Get("limit"); l != "" {
+		if parsed, err := strconv.Atoi(l); err == nil && parsed > 0 {
+			limit = parsed
+		}
+	}
+	if o := r.URL.Query().Get("offset"); o != "" {
+		if parsed, err := strconv.Atoi(o); err == nil && parsed >= 0 {
+			offset = parsed
+		}
+	}
+	return
+}
+
+// ValidateCreateFilamentRequest validates a CreateFilamentRequest DTO.
+// Re-exports the service-layer validator for handler use.
+func ValidateCreateFilamentRequest(req dtos.CreateFilamentRequest) error {
+	return services.ValidateCreateFilamentRequest(req)
+}
+
+// ValidateUpdateFilamentRequest validates an UpdateFilamentRequest DTO.
+// Re-exports the service-layer validator for handler use.
+func ValidateUpdateFilamentRequest(req dtos.UpdateFilamentRequest) error {
+	return services.ValidateUpdateFilamentRequest(req)
+}