add denormalized product fields and use Product structs throughout

Adds cheapest_price, compare_at_price, in_stock, on_sale columns to
products table (recomputed from variants after each sync). Shop
components now work with Product structs directly instead of plain
maps from PreviewData. Renames .name to .title, adds Product display
helpers (primary_image, hover_image, option_types) and ProductImage
helpers (display_url, direct_url, source_width). Adds Products context
query functions for storefront use (list_visible_products,
get_visible_product, list_categories with DB-level sort/filter).

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

lib/simpleshop_theme_web/live/admin/theme/index.ex

@@ -353,7 +353,7 @@ defmodule SimpleshopThemeWeb.Admin.Theme.Index do
       end)
 
     display_price =
-      if selected_variant, do: selected_variant.price, else: product.price
+      if selected_variant, do: selected_variant.price, else: product.cheapest_price
 
     assigns =
       assigns
@@ -374,7 +374,9 @@ defmodule SimpleshopThemeWeb.Admin.Theme.Index do
     cart_items = assigns.preview_data.cart_items
 
     subtotal =
-      Enum.reduce(cart_items, 0, fn item, acc -> acc + item.product.price * item.quantity end)
+      Enum.reduce(cart_items, 0, fn item, acc ->
+        acc + item.product.cheapest_price * item.quantity
+      end)
 
     assigns =
       assigns
@@ -464,6 +466,15 @@ defmodule SimpleshopThemeWeb.Admin.Theme.Index do
   end
 
   defp build_gallery_images(product) do
-    [product.image_url, product.hover_image_url, product.image_url, product.hover_image_url]
+    alias SimpleshopTheme.Products.ProductImage
+
+    (product[:images] || [])
+    |> Enum.sort_by(& &1.position)
+    |> Enum.map(fn img -> ProductImage.direct_url(img, 1200) end)
+    |> Enum.reject(&is_nil/1)
+    |> case do
+      [] -> []
+      urls -> urls
+    end
   end
 end

lib/simpleshop_theme_web/live/shop/collection.ex

@@ -75,10 +75,13 @@ defmodule SimpleshopThemeWeb.Shop.Collection do
 
   defp sort_products(products, "featured"), do: products
   defp sort_products(products, "newest"), do: Enum.reverse(products)
-  defp sort_products(products, "price_asc"), do: Enum.sort_by(products, & &1.price)
-  defp sort_products(products, "price_desc"), do: Enum.sort_by(products, & &1.price, :desc)
-  defp sort_products(products, "name_asc"), do: Enum.sort_by(products, & &1.name)
-  defp sort_products(products, "name_desc"), do: Enum.sort_by(products, & &1.name, :desc)
+  defp sort_products(products, "price_asc"), do: Enum.sort_by(products, & &1.cheapest_price)
+
+  defp sort_products(products, "price_desc"),
+    do: Enum.sort_by(products, & &1.cheapest_price, :desc)
+
+  defp sort_products(products, "name_asc"), do: Enum.sort_by(products, & &1.title)
+  defp sort_products(products, "name_desc"), do: Enum.sort_by(products, & &1.title, :desc)
   defp sort_products(products, _), do: products
 
   defp collection_path(slug, "featured"), do: ~p"/collections/#{slug}"

lib/simpleshop_theme_web/live/shop/product_show.ex

@@ -2,6 +2,7 @@ defmodule SimpleshopThemeWeb.Shop.ProductShow do
   use SimpleshopThemeWeb, :live_view
 
   alias SimpleshopTheme.Cart
+  alias SimpleshopTheme.Products.{Product, ProductImage}
   alias SimpleshopTheme.Theme.PreviewData
 
   @impl true
@@ -19,14 +20,13 @@ defmodule SimpleshopThemeWeb.Shop.ProductShow do
 
     # Build gallery images from local image_id or external URL
     gallery_images =
-      [
-        image_src(product[:image_id], product[:image_url]),
-        image_src(product[:hover_image_id], product[:hover_image_url])
-      ]
+      (product[:images] || [])
+      |> Enum.sort_by(& &1.position)
+      |> Enum.map(fn img -> ProductImage.direct_url(img, 1200) end)
       |> Enum.reject(&is_nil/1)
 
     # Initialize variant selection
-    option_types = product[:option_types] || []
+    option_types = Product.option_types(product)
     variants = product[:variants] || []
     {selected_options, selected_variant} = initialize_variant_selection(variants)
     available_options = compute_available_options(option_types, variants, selected_options)
@@ -34,7 +34,7 @@ defmodule SimpleshopThemeWeb.Shop.ProductShow do
 
     socket =
       socket
-      |> assign(:page_title, product.name)
+      |> assign(:page_title, product.title)
       |> assign(:product, product)
       |> assign(:gallery_images, gallery_images)
       |> assign(:related_products, related_products)
@@ -56,16 +56,6 @@ defmodule SimpleshopThemeWeb.Shop.ProductShow do
       List.first(products)
   end
 
-  # Build image source URL - prefer local image_id, fall back to external URL
-  defp image_src(image_id, _url) when is_binary(image_id) do
-    "/images/#{image_id}/variant/1200.webp"
-  end
-
-  # Mock data uses base paths like "/mockups/product-1" — append size + format
-  defp image_src(_, "/mockups/" <> _ = url), do: "#{url}-1200.webp"
-  defp image_src(_, url) when is_binary(url), do: url
-  defp image_src(_, _), do: nil
-
   # Select first available variant by default
   defp initialize_variant_selection([first | _] = _variants) do
     {first.options, first}
@@ -98,7 +88,7 @@ defmodule SimpleshopThemeWeb.Shop.ProductShow do
   end
 
   defp variant_price(%{price: price}, _product) when is_integer(price), do: price
-  defp variant_price(_, %{price: price}), do: price
+  defp variant_price(_, %{cheapest_price: price}), do: price
   defp variant_price(_, _), do: 0
 
   defp find_variant(variants, selected_options) do
@@ -154,7 +144,7 @@ defmodule SimpleshopThemeWeb.Shop.ProductShow do
         |> SimpleshopThemeWeb.CartHook.broadcast_and_update(cart)
         |> assign(:quantity, 1)
         |> assign(:cart_drawer_open, true)
-        |> assign(:cart_status, "#{socket.assigns.product.name} added to cart")
+        |> assign(:cart_status, "#{socket.assigns.product.title} added to cart")
 
       {:noreply, socket}
     else