/** * REST API: WP_REST_Attachments_Controller class * * @package WordPress * @subpackage REST_API * @since 4.7.0 */ /** * Core controller used to access attachments via the REST API. * * @since 4.7.0 * * @see WP_REST_Posts_Controller */ class WP_REST_Attachments_Controller extends WP_REST_Posts_Controller { /** * Whether the controller supports batching. * * @since 5.9.0 * @var false */ protected $allow_batch = false; /** * Registers the routes for attachments. * * @since 5.3.0 * * @see register_rest_route() */ public function register_routes() { parent::register_routes(); register_rest_route( $this->namespace, '/' . $this->rest_base . '/(?P[\d]+)/post-process', array( 'methods' => WP_REST_Server::CREATABLE, 'callback' => array( $this, 'post_process_item' ), 'permission_callback' => array( $this, 'post_process_item_permissions_check' ), 'args' => array( 'id' => array( 'description' => __( 'Unique identifier for the attachment.' ), 'type' => 'integer', ), 'action' => array( 'type' => 'string', 'enum' => array( 'create-image-subsizes' ), 'required' => true, ), ), ) ); register_rest_route( $this->namespace, '/' . $this->rest_base . '/(?P[\d]+)/edit', array( 'methods' => WP_REST_Server::CREATABLE, 'callback' => array( $this, 'edit_media_item' ), 'permission_callback' => array( $this, 'edit_media_item_permissions_check' ), 'args' => $this->get_edit_media_item_args(), ) ); } /** * Determines the allowed query_vars for a get_items() response and * prepares for WP_Query. * * @since 4.7.0 * * @param array $prepared_args Optional. Array of prepared arguments. Default empty array. * @param WP_REST_Request $request Optional. Request to prepare items for. * @return array Array of query arguments. */ protected function prepare_items_query( $prepared_args = array(), $request = null ) { $query_args = parent::prepare_items_query( $prepared_args, $request ); if ( empty( $query_args['post_status'] ) ) { $query_args['post_status'] = 'inherit'; } $media_types = $this->get_media_types(); if ( ! empty( $request['media_type'] ) && isset( $media_types[ $request['media_type'] ] ) ) { $query_args['post_mime_type'] = $media_types[ $request['media_type'] ]; } if ( ! empty( $request['mime_type'] ) ) { $parts = explode( '/', $request['mime_type'] ); if ( isset( $media_types[ $parts[0] ] ) && in_array( $request['mime_type'], $media_types[ $parts[0] ], true ) ) { $query_args['post_mime_type'] = $request['mime_type']; } } // Filter query clauses to include filenames. if ( isset( $query_args['s'] ) ) { add_filter( 'wp_allow_query_attachment_by_filename', '__return_true' ); } return $query_args; } /** * Checks if a given request has access to create an attachment. * * @since 4.7.0 * * @param WP_REST_Request $request Full details about the request. * @return true|WP_Error Boolean true if the attachment may be created, or a WP_Error if not. */ public function create_item_permissions_check( $request ) { $ret = parent::create_item_permissions_check( $request ); if ( ! $ret || is_wp_error( $ret ) ) { return $ret; } if ( ! current_user_can( 'upload_files' ) ) { return new WP_Error( 'rest_cannot_create', __( 'Sorry, you are not allowed to upload media on this site.' ), array( 'status' => 400 ) ); } // Attaching media to a post requires ability to edit said post. if ( ! empty( $request['post'] ) && ! current_user_can( 'edit_post', (int) $request['post'] ) ) { return new WP_Error( 'rest_cannot_edit', __( 'Sorry, you are not allowed to upload media to this post.' ), array( 'status' => rest_authorization_required_code() ) ); } return true; } /** * Creates a single attachment. * * @since 4.7.0 * * @param WP_REST_Request $request Full details about the request. * @return WP_REST_Response|WP_Error Response object on success, WP_Error object on failure. */ public function create_item( $request ) { if ( ! empty( $request['post'] ) && in_array( get_post_type( $request['post'] ), array( 'revision', 'attachment' ), true ) ) { return new WP_Error( 'rest_invalid_param', __( 'Invalid parent type.' ), array( 'status' => 400 ) ); } $insert = $this->insert_attachment( $request ); if ( is_wp_error( $insert ) ) { return $insert; } $schema = $this->get_item_schema(); // Extract by name. $attachment_id = $insert['attachment_id']; $file = $insert['file']; if ( isset( $request['alt_text'] ) ) { update_post_meta( $attachment_id, '_wp_attachment_image_alt', sanitize_text_field( $request['alt_text'] ) ); } if ( ! empty( $schema['properties']['featured_media'] ) && isset( $request['featured_media'] ) ) { $thumbnail_update = $this->handle_featured_media( $request['featured_media'], $attachment_id ); if ( is_wp_error( $thumbnail_update ) ) { return $thumbnail_update; } } if ( ! empty( $schema['properties']['meta'] ) && isset( $request['meta'] ) ) { $meta_update = $this->meta->update_value( $request['meta'], $attachment_id ); if ( is_wp_error( $meta_update ) ) { return $meta_update; } } $attachment = get_post( $attachment_id ); $fields_update = $this->update_additional_fields_for_object( $attachment, $request ); if ( is_wp_error( $fields_update ) ) { return $fields_update; } $terms_update = $this->handle_terms( $attachment_id, $request ); if ( is_wp_error( $terms_update ) ) { return $terms_update; } $request->set_param( 'context', 'edit' ); /** * Fires after a single attachment is completely created or updated via the REST API. * * @since 5.0.0 * * @param WP_Post $attachment Inserted or updated attachment object. * @param WP_REST_Request $request Request object. * @param bool $creating True when creating an attachment, false when updating. */ do_action( 'rest_after_insert_attachment', $attachment, $request, true ); wp_after_insert_post( $attachment, false, null ); if ( wp_is_serving_rest_request() ) { /* * Set a custom header with the attachment_id. * Used by the browser/client to resume creating image sub-sizes after a PHP fatal error. */ header( 'X-WP-Upload-Attachment-ID: ' . $attachment_id ); } // Include media and image functions to get access to wp_generate_attachment_metadata(). require_once ABSPATH . 'wp-admin/includes/media.php'; require_once ABSPATH . 'wp-admin/includes/image.php'; /* * Post-process the upload (create image sub-sizes, make PDF thumbnails, etc.) and insert attachment meta. * At this point the server may run out of resources and post-processing of uploaded images may fail. */ wp_update_attachment_metadata( $attachment_id, wp_generate_attachment_metadata( $attachment_id, $file ) ); $response = $this->prepare_item_for_response( $attachment, $request ); $response = rest_ensure_response( $response ); $response->set_status( 201 ); $response->header( 'Location', rest_url( sprintf( '%s/%s/%d', $this->namespace, $this->rest_base, $attachment_id ) ) ); return $response; } /** * Inserts the attachment post in the database. Does not update the attachment meta. * * @since 5.3.0 * * @param WP_REST_Request $request * @return array|WP_Error */ protected function insert_attachment( $request ) { // Get the file via $_FILES or raw data. $files = $request->get_file_params(); $headers = $request->get_headers(); $time = null; // Matches logic in media_handle_upload(). if ( ! empty( $request['post'] ) ) { $post = get_post( $request['post'] ); // The post date doesn't usually matter for pages, so don't backdate this upload. if ( $post && 'page' !== $post->post_type && substr( $post->post_date, 0, 4 ) > 0 ) { $time = $post->post_date; } } if ( ! empty( $files ) ) { $file = $this->upload_from_file( $files, $headers, $time ); } else { $file = $this->upload_from_data( $request->get_body(), $headers, $time ); } if ( is_wp_error( $file ) ) { return $file; } $name = wp_basename( $file['file'] ); $name_parts = pathinfo( $name ); $name = trim( substr( $name, 0, -( 1 + strlen( $name_parts['extension'] ) ) ) ); $url = $file['url']; $type = $file['type']; $file = $file['file']; // Include image functions to get access to wp_read_image_metadata(). require_once ABSPATH . 'wp-admin/includes/image.php'; // Use image exif/iptc data for title and caption defaults if possible. $image_meta = wp_read_image_metadata( $file ); if ( ! empty( $image_meta ) ) { if ( empty( $request['title'] ) && trim( $image_meta['title'] ) && ! is_numeric( sanitize_title( $image_meta['title'] ) ) ) { $request['title'] = $image_meta['title']; } if ( empty( $request['caption'] ) && trim( $image_meta['caption'] ) ) { $request['caption'] = $image_meta['caption']; } } $attachment = $this->prepare_item_for_database( $request ); $attachment->post_mime_type = $type; $attachment->guid = $url; // If the title was not set, use the original filename. if ( empty( $attachment->post_title ) && ! empty( $files['file']['name'] ) ) { // Remove the file extension (after the last `.`) $tmp_title = substr( $files['file']['name'], 0, strrpos( $files['file']['name'], '.' ) ); if ( ! empty( $tmp_title ) ) { $attachment->post_title = $tmp_title; } } // Fall back to the original approach. if ( empty( $attachment->post_title ) ) { $attachment->post_title = preg_replace( '/\.[^.]+$/', '', wp_basename( $file ) ); } // $post_parent is inherited from $attachment['post_parent']. $id = wp_insert_attachment( wp_slash( (array) $attachment ), $file, 0, true, false ); if ( is_wp_error( $id ) ) { if ( 'db_update_error' === $id->get_error_code() ) { $id->add_data( array( 'status' => 500 ) ); } else { $id->add_data( array( 'status' => 400 ) ); } return $id; } $attachment = get_post( $id ); /** * Fires after a single attachment is created or updated via the REST API. * * @since 4.7.0 * * @param WP_Post $attachment Inserted or updated attachment * object. * @param WP_REST_Request $request The request sent to the API. * @param bool $creating True when creating an attachment, false when updating. */ do_action( 'rest_insert_attachment', $attachment, $request, true ); return array( 'attachment_id' => $id, 'file' => $file, ); } /** * Determines the featured media based on a request param. * * @since 6.5.0 * * @param int $featured_media Featured Media ID. * @param int $post_id Post ID. * @return bool|WP_Error Whether the post thumbnail was successfully deleted, otherwise WP_Error. */ protected function handle_featured_media( $featured_media, $post_id ) { $post_type = get_post_type( $post_id ); $thumbnail_support = current_theme_supports( 'post-thumbnails', $post_type ) && post_type_supports( $post_type, 'thumbnail' ); // Similar check as in wp_insert_post(). if ( ! $thumbnail_support && get_post_mime_type( $post_id ) ) { if ( wp_attachment_is( 'audio', $post_id ) ) { $thumbnail_support = post_type_supports( 'attachment:audio', 'thumbnail' ) || current_theme_supports( 'post-thumbnails', 'attachment:audio' ); } elseif ( wp_attachment_is( 'video', $post_id ) ) { $thumbnail_support = post_type_supports( 'attachment:video', 'thumbnail' ) || current_theme_supports( 'post-thumbnails', 'attachment:video' ); } } if ( $thumbnail_support ) { return parent::handle_featured_media( $featured_media, $post_id ); } return new WP_Error( 'rest_no_featured_media', sprintf( /* translators: %s: attachment mime type */ __( 'This site does not support post thumbnails on attachments with MIME type %s.' ), get_post_mime_type( $post_id ) ), array( 'status' => 400 ) ); } /** * Updates a single attachment. * * @since 4.7.0 * * @param WP_REST_Request $request Full details about the request. * @return WP_REST_Response|WP_Error Response object on success, WP_Error object on failure. */ public function update_item( $request ) { if ( ! empty( $request['post'] ) && in_array( get_post_type( $request['post'] ), array( 'revision', 'attachment' ), true ) ) { return new WP_Error( 'rest_invalid_param', __( 'Invalid parent type.' ), array( 'status' => 400 ) ); } $attachment_before = get_post( $request['id'] ); $response = parent::update_item( $request ); if ( is_wp_error( $response ) ) { return $response; } $response = rest_ensure_response( $response ); $data = $response->get_data(); if ( isset( $request['alt_text'] ) ) { update_post_meta( $data['id'], '_wp_attachment_image_alt', $request['alt_text'] ); } $attachment = get_post( $request['id'] ); if ( ! empty( $schema['properties']['featured_media'] ) && isset( $request['featured_media'] ) ) { $thumbnail_update = $this->handle_featured_media( $request['featured_media'], $attachment->ID ); if ( is_wp_error( $thumbnail_update ) ) { return $thumbnail_update; } } $fields_update = $this->update_additional_fields_for_object( $attachment, $request ); if ( is_wp_error( $fields_update ) ) { return $fields_update; } $request->set_param( 'context', 'edit' ); /** This action is documented in wp-includes/rest-api/endpoints/class-wp-rest-attachments-controller.php */ do_action( 'rest_after_insert_attachment', $attachment, $request, false ); wp_after_insert_post( $attachment, true, $attachment_before ); $response = $this->prepare_item_for_response( $attachment, $request ); $response = rest_ensure_response( $response ); return $response; } /** * Performs post processing on an attachment. * * @since 5.3.0 * * @param WP_REST_Request $request Full details about the request. * @return WP_REST_Response|WP_Error Response object on success, WP_Error object on failure. */ public function post_process_item( $request ) { switch ( $request['action'] ) { case 'create-image-subsizes': require_once ABSPATH . 'wp-admin/includes/image.php'; wp_update_image_subsizes( $request['id'] ); break; } $request['context'] = 'edit'; return $this->prepare_item_for_response( get_post( $request['id'] ), $request ); } /** * Checks if a given request can perform post processing on an attachment. * * @since 5.3.0 * * @param WP_REST_Request $request Full details about the request. * @return true|WP_Error True if the request has access to update the item, WP_Error object otherwise. */ public function post_process_item_permissions_check( $request ) { return $this->update_item_permissions_check( $request ); } /** * Checks if a given request has access to editing media. * * @since 5.5.0 * * @param WP_REST_Request $request Full details about the request. * @return true|WP_Error True if the request has read access, WP_Error object otherwise. */ public function edit_media_item_permissions_check( $request ) { if ( ! current_user_can( 'upload_files' ) ) { return new WP_Error( 'rest_cannot_edit_image', __( 'Sorry, you are not allowed to upload media on this site.' ), array( 'status' => rest_authorization_required_code() ) ); } return $this->update_item_permissions_check( $request ); } /** * Applies edits to a media item and creates a new attachment record. * * @since 5.5.0 * * @param WP_REST_Request $request Full details about the request. * @return WP_REST_Response|WP_Error Response object on success, WP_Error object on failure. */ public function edit_media_item( $request ) { require_once ABSPATH . 'wp-admin/includes/image.php'; $attachment_id = $request['id']; // This also confirms the attachment is an image. $image_file = wp_get_original_image_path( $attachment_id ); $image_meta = wp_get_attachment_metadata( $attachment_id ); if ( ! $image_meta || ! $image_file || ! wp_image_file_matches_image_meta( $request['src'], $image_meta, $attachment_id ) ) { return new WP_Error( 'rest_unknown_attachment', __( 'Unable to get meta information for file.' ), array( 'status' => 404 ) ); } $supported_types = array( 'image/jpeg', 'image/png', 'image/gif', 'image/webp', 'image/avif' ); $mime_type = get_post_mime_type( $attachment_id ); if ( ! in_array( $mime_type, $supported_types, true ) ) { return new WP_Error( 'rest_cannot_edit_file_type', __( 'This type of file cannot be edited.' ), array( 'status' => 400 ) ); } // The `modifiers` param takes precedence over the older format. if ( isset( $request['modifiers'] ) ) { $modifiers = $request['modifiers']; } else { $modifiers = array(); if ( ! empty( $request['rotation'] ) ) { $modifiers[] = array( 'type' => 'rotate', 'args' => array( 'angle' => $request['rotation'], ), ); } if ( isset( $request['x'], $request['y'], $request['width'], $request['height'] ) ) { $modifiers[] = array( 'type' => 'crop', 'args' => array( 'left' => $request['x'], 'top' => $request['y'], 'width' => $request['width'], 'height' => $request['height'], ), ); } if ( 0 === count( $modifiers ) ) { return new WP_Error( 'rest_image_not_edited', __( 'The image was not edited. Edit the image before applying the changes.' ), array( 'status' => 400 ) ); } } /* * If the file doesn't exist, attempt a URL fopen on the src link. * This can occur with certain file replication plugins. * Keep the original file path to get a modified name later. */ $image_file_to_edit = $image_file; if ( ! file_exists( $image_file_to_edit ) ) { $image_file_to_edit = _load_image_to_edit_path( $attachment_id ); } $image_editor = wp_get_image_editor( $image_file_to_edit ); if ( is_wp_error( $image_editor ) ) { return new WP_Error( 'rest_unknown_image_file_type', __( 'Unable to edit this image.' ), array( 'status' => 500 ) ); } foreach ( $modifiers as $modifier ) { $args = $modifier['args']; switch ( $modifier['type'] ) { case 'rotate': // Rotation direction: clockwise vs. counter clockwise. $rotate = 0 - $args['angle']; if ( 0 !== $rotate ) { $result = $image_editor->rotate( $rotate ); if ( is_wp_error( $result ) ) { return new WP_Error( 'rest_image_rotation_failed', __( 'Unable to rotate this image.' ), array( 'status' => 500 ) ); } } break; case 'crop': $size = $image_editor->get_size(); $crop_x = (int) round( ( $size['width'] * $args['left'] ) / 100.0 ); $crop_y = (int) round( ( $size['height'] * $args['top'] ) / 100.0 ); $width = (int) round( ( $size['width'] * $args['width'] ) / 100.0 ); $height = (int) round( ( $size['height'] * $args['height'] ) / 100.0 ); if ( $size['width'] !== $width || $size['height'] !== $height ) { $result = $image_editor->crop( $crop_x, $crop_y, $width, $height ); if ( is_wp_error( $result ) ) { return new WP_Error( 'rest_image_crop_failed', __( 'Unable to crop this image.' ), array( 'status' => 500 ) ); } } break; } } // Calculate the file name. $image_ext = pathinfo( $image_file, PATHINFO_EXTENSION ); $image_name = wp_basename( $image_file, ".{$image_ext}" ); /* * Do not append multiple `-edited` to the file name. * The user may be editing a previously edited image. */ if ( preg_match( '/-edited(-\d+)?$/', $image_name ) ) { // Remove any `-1`, `-2`, etc. `wp_unique_filename()` will add the proper number. $image_name = preg_replace( '/-edited(-\d+)?$/', '-edited', $image_name ); } else { // Append `-edited` before the extension. $image_name .= '-edited'; } $filename = "{$image_name}.{$image_ext}"; // Create the uploads sub-directory if needed. $uploads = wp_upload_dir(); // Make the file name unique in the (new) upload directory. $filename = wp_unique_filename( $uploads['path'], $filename ); // Save to disk. $saved = $image_editor->save( $uploads['path'] . "/$filename" ); if ( is_wp_error( $saved ) ) { return $saved; } // Create new attachment post. $new_attachment_post = array( 'post_mime_type' => $saved['mime-type'], 'guid' => $uploads['url'] . "/$filename", 'post_title' => $image_name, 'post_content' => '', ); // Copy post_content, post_excerpt, and post_title from the edited image's attachment post. $attachment_post = get_post( $attachment_id ); if ( $attachment_post ) { $new_attachment_post['post_content'] = $attachment_post->post_content; $new_attachment_post['post_excerpt'] = $attachment_post->post_excerpt; $new_attachment_post['post_title'] = $attachment_post->post_title; } $new_attachment_id = wp_insert_attachment( wp_slash( $new_attachment_post ), $saved['path'], 0, true ); if ( is_wp_error( $new_attachment_id ) ) { if ( 'db_update_error' === $new_attachment_id->get_error_code() ) { $new_attachment_id->add_data( array( 'status' => 500 ) ); } else { $new_attachment_id->add_data( array( 'status' => 400 ) ); } return $new_attachment_id; } // Copy the image alt text from the edited image. $image_alt = get_post_meta( $attachment_id, '_wp_attachment_image_alt', true ); if ( ! empty( $image_alt ) ) { // update_post_meta() expects slashed. update_post_meta( $new_attachment_id, '_wp_attachment_image_alt', wp_slash( $image_alt ) ); } if ( wp_is_serving_rest_request() ) { /* * Set a custom header with the attachment_id. * Used by the browser/client to resume creating image sub-sizes after a PHP fatal error. */ header( 'X-WP-Upload-Attachment-ID: ' . $new_attachment_id ); } // Generate image sub-sizes and meta. $new_image_meta = wp_generate_attachment_metadata( $new_attachment_id, $saved['path'] ); // Copy the EXIF metadata from the original attachment if not generated for the edited image. if ( isset( $image_meta['image_meta'] ) && isset( $new_image_meta['image_meta'] ) && is_array( $new_image_meta['image_meta'] ) ) { // Merge but skip empty values. foreach ( (array) $image_meta['image_meta'] as $key => $value ) { if ( empty( $new_image_meta['image_meta'][ $key ] ) && ! empty( $value ) ) { $new_image_meta['image_meta'][ $key ] = $value; } } } // Reset orientation. At this point the image is edited and orientation is correct. if ( ! empty( $new_image_meta['image_meta']['orientation'] ) ) { $new_image_meta['image_meta']['orientation'] = 1; } // The attachment_id may change if the site is exported and imported. $new_image_meta['parent_image'] = array( 'attachment_id' => $attachment_id, // Path to the originally uploaded image file relative to the uploads directory. 'file' => _wp_relative_upload_path( $image_file ), ); /** * Filters the meta data for the new image created by editing an existing image. * * @since 5.5.0 * * @param array $new_image_meta Meta data for the new image. * @param int $new_attachment_id Attachment post ID for the new image. * @param int $attachment_id Attachment post ID for the edited (parent) image. */ $new_image_meta = apply_filters( 'wp_edited_image_metadata', $new_image_meta, $new_attachment_id, $attachment_id ); wp_update_attachment_metadata( $new_attachment_id, $new_image_meta ); $response = $this->prepare_item_for_response( get_post( $new_attachment_id ), $request ); $response->set_status( 201 ); $response->header( 'Location', rest_url( sprintf( '%s/%s/%s', $this->namespace, $this->rest_base, $new_attachment_id ) ) ); return $response; } /** * Prepares a single attachment for create or update. * * @since 4.7.0 * * @param WP_REST_Request $request Request object. * @return stdClass|WP_Error Post object. */ protected function prepare_item_for_database( $request ) { $prepared_attachment = parent::prepare_item_for_database( $request ); // Attachment caption (post_excerpt internally). if ( isset( $request['caption'] ) ) { if ( is_string( $request['caption'] ) ) { $prepared_attachment->post_excerpt = $request['caption']; } elseif ( isset( $request['caption']['raw'] ) ) { $prepared_attachment->post_excerpt = $request['caption']['raw']; } } // Attachment description (post_content internally). if ( isset( $request['description'] ) ) { if ( is_string( $request['description'] ) ) { $prepared_attachment->post_content = $request['description']; } elseif ( isset( $request['description']['raw'] ) ) { $prepared_attachment->post_content = $request['description']['raw']; } } if ( isset( $request['post'] ) ) { $prepared_attachment->post_parent = (int) $request['post']; } return $prepared_attachment; } /** * Prepares a single attachment output for response. * * @since 4.7.0 * @since 5.9.0 Renamed `$post` to `$item` to match parent class for PHP 8 named parameter support. * * @param WP_Post $item Attachment object. * @param WP_REST_Request $request Request object. * @return WP_REST_Response Response object. */ public function prepare_item_for_response( $item, $request ) { // Restores the more descriptive, specific name for use within this method. $post = $item; $response = parent::prepare_item_for_response( $post, $request ); $fields = $this->get_fields_for_response( $request ); $data = $response->get_data(); if ( in_array( 'description', $fields, true ) ) { $data['description'] = array( 'raw' => $post->post_content, /** This filter is documented in wp-includes/post-template.php */ 'rendered' => apply_filters( 'the_content', $post->post_content ), ); } if ( in_array( 'caption', $fields, true ) ) { /** This filter is documented in wp-includes/post-template.php */ $caption = apply_filters( 'get_the_excerpt', $post->post_excerpt, $post ); /** This filter is documented in wp-includes/post-template.php */ $caption = apply_filters( 'the_excerpt', $caption ); $data['caption'] = array( 'raw' => $post->post_excerpt, 'rendered' => $caption, ); } if ( in_array( 'alt_text', $fields, true ) ) { $data['alt_text'] = get_post_meta( $post->ID, '_wp_attachment_image_alt', true ); } if ( in_array( 'media_type', $fields, true ) ) { $data['media_type'] = wp_attachment_is_image( $post->ID ) ? 'image' : 'file'; } if ( in_array( 'mime_type', $fields, true ) ) { $data['mime_type'] = $post->post_mime_type; } if ( in_array( 'media_details', $fields, true ) ) { $data['media_details'] = wp_get_attachment_metadata( $post->ID ); // Ensure empty details is an empty object. if ( empty( $data['media_details'] ) ) { $data['media_details'] = new stdClass(); } elseif ( ! empty( $data['media_details']['sizes'] ) ) { foreach ( $data['media_details']['sizes'] as $size => &$size_data ) { if ( isset( $size_data['mime-type'] ) ) { $size_data['mime_type'] = $size_data['mime-type']; unset( $size_data['mime-type'] ); } // Use the same method image_downsize() does. $image_src = wp_get_attachment_image_src( $post->ID, $size ); if ( ! $image_src ) { continue; } $size_data['source_url'] = $image_src[0]; } $full_src = wp_get_attachment_image_src( $post->ID, 'full' ); if ( ! empty( $full_src ) ) { $data['media_details']['sizes']['full'] = array( 'file' => wp_basename( $full_src[0] ), 'width' => $full_src[1], 'height' => $full_src[2], 'mime_type' => $post->post_mime_type, 'source_url' => $full_src[0], ); } } else { $data['media_details']['sizes'] = new stdClass(); } } if ( in_array( 'post', $fields, true ) ) { $data['post'] = ! empty( $post->post_parent ) ? (int) $post->post_parent : null; } if ( in_array( 'source_url', $fields, true ) ) { $data['source_url'] = wp_get_attachment_url( $post->ID ); } if ( in_array( 'missing_image_sizes', $fields, true ) ) { require_once ABSPATH . 'wp-admin/includes/image.php'; $data['missing_image_sizes'] = array_keys( wp_get_missing_image_subsizes( $post->ID ) ); } $context = ! empty( $request['context'] ) ? $request['context'] : 'view'; $data = $this->filter_response_by_context( $data, $context ); $links = $response->get_links(); // Wrap the data in a response object. $response = rest_ensure_response( $data ); foreach ( $links as $rel => $rel_links ) { foreach ( $rel_links as $link ) { $response->add_link( $rel, $link['href'], $link['attributes'] ); } } /** * Filters an attachment returned from the REST API. * * Allows modification of the attachment right before it is returned. * * @since 4.7.0 * * @param WP_REST_Response $response The response object. * @param WP_Post $post The original attachment post. * @param WP_REST_Request $request Request used to generate the response. */ return apply_filters( 'rest_prepare_attachment', $response, $post, $request ); } /** * Retrieves the attachment's schema, conforming to JSON Schema. * * @since 4.7.0 * * @return array Item schema as an array. */ public function get_item_schema() { if ( $this->schema ) { return $this->add_additional_fields_schema( $this->schema ); } $schema = parent::get_item_schema(); $schema['properties']['alt_text'] = array( 'description' => __( 'Alternative text to display when attachment is not displayed.' ), 'type' => 'string', 'context' => array( 'view', 'edit', 'embed' ), 'arg_options' => array( 'sanitize_callback' => 'sanitize_text_field', ), ); $schema['properties']['caption'] = array( 'description' => __( 'The attachment caption.' ), 'type' => 'object', 'context' => array( 'view', 'edit', 'embed' ), 'arg_options' => array( 'sanitize_callback' => null, // Note: sanitization implemented in self::prepare_item_for_database(). 'validate_callback' => null, // Note: validation implemented in self::prepare_item_for_database(). ), 'properties' => array( 'raw' => array( 'description' => __( 'Caption for the attachment, as it exists in the database.' ), 'type' => 'string', 'context' => array( 'edit' ), ), 'rendered' => array( 'description' => __( 'HTML caption for the attachment, transformed for display.' ), 'type' => 'string', 'context' => array( 'view', 'edit', 'embed' ), 'readonly' => true, ), ), ); $schema['properties']['description'] = array( 'description' => __( 'The attachment description.' ), 'type' => 'object', 'context' => array( 'view', 'edit' ), 'arg_options' => array( 'sanitize_callback' => null, // Note: sanitization implemented in self::prepare_item_for_database(). 'validate_callback' => null, // Note: validation implemented in self::prepare_item_for_database(). ), 'properties' => array( 'raw' => array( 'description' => __( 'Description for the attachment, as it exists in the database.' ), 'type' => 'string', 'context' => array( 'edit' ), ), 'rendered' => array( 'description' => __( 'HTML description for the attachment, transformed for display.' ), 'type' => 'string', 'context' => array( 'view', 'edit' ), 'readonly' => true, ), ), ); $schema['properties']['media_type'] = array( 'description' => __( 'Attachment type.' ), 'type' => 'string', 'enum' => array( 'image', 'file' ), 'context' => array( 'view', 'edit', 'embed' ), 'readonly' => true, ); $schema['properties']['mime_type'] = array( 'description' => __( 'The attachment MIME type.' ), 'type' => 'string', 'context' => array( 'view', 'edit', 'embed' ), 'readonly' => true, ); $schema['properties']['media_details'] = array( 'description' => __( 'Details about the media file, specific to its type.' ), 'type' => 'object', 'context' => array( 'view', 'edit', 'embed' ), 'readonly' => true, ); $schema['properties']['post'] = array( 'description' => __( 'The ID for the associated post of the attachment.' ), 'type' => 'integer', 'context' => array( 'view', 'edit' ), ); $schema['properties']['source_url'] = array( 'description' => __( 'URL to the original attachment file.' ), 'type' => 'string', 'format' => 'uri', 'context' => array( 'view', 'edit', 'embed' ), 'readonly' => true, ); $schema['properties']['missing_image_sizes'] = array( 'description' => __( 'List of the missing image sizes of the attachment.' ), 'type' => 'array', 'items' => array( 'type' => 'string' ), 'context' => array( 'edit' ), 'readonly' => true, ); unset( $schema['properties']['password'] ); $this->schema = $schema; return $this->add_additional_fields_schema( $this->schema ); } /** * Handles an upload via raw POST data. * * @since 4.7.0 * @since 6.6.0 Added the `$time` parameter. * * @param string $data Supplied file data. * @param array $headers HTTP headers from the request. * @param string|null $time Optional. Time formatted in 'yyyy/mm'. Default null. * @return array|WP_Error Data from wp_handle_sideload(). */ protected function upload_from_data( $data, $headers, $time = null ) { if ( empty( $data ) ) { return new WP_Error( 'rest_upload_no_data', __( 'No data supplied.' ), array( 'status' => 400 ) ); } if ( empty( $headers['content_type'] ) ) { return new WP_Error( 'rest_upload_no_content_type', __( 'No Content-Type supplied.' ), array( 'status' => 400 ) ); } if ( empty( $headers['content_disposition'] ) ) { return new WP_Error( 'rest_upload_no_content_disposition', __( 'No Content-Disposition supplied.' ), array( 'status' => 400 ) ); } $filename = self::get_filename_from_disposition( $headers['content_disposition'] ); if ( empty( $filename ) ) { return new WP_Error( 'rest_upload_invalid_disposition', __( 'Invalid Content-Disposition supplied. Content-Disposition needs to be formatted as `attachment; filename="image.png"` or similar.' ), array( 'status' => 400 ) ); } if ( ! empty( $headers['content_md5'] ) ) { $content_md5 = array_shift( $headers['content_md5'] ); $expected = trim( $content_md5 ); $actual = md5( $data ); if ( $expected !== $actual ) { return new WP_Error( 'rest_upload_hash_mismatch', __( 'Content hash did not match expected.' ), array( 'status' => 412 ) ); } } // Get the content-type. $type = array_shift( $headers['content_type'] ); // Include filesystem functions to get access to wp_tempnam() and wp_handle_sideload(). require_once ABSPATH . 'wp-admin/includes/file.php'; // Save the file. $tmpfname = wp_tempnam( $filename ); $fp = fopen( $tmpfname, 'w+' ); if ( ! $fp ) { return new WP_Error( 'rest_upload_file_error', __( 'Could not open file handle.' ), array( 'status' => 500 ) ); } fwrite( $fp, $data ); fclose( $fp ); // Now, sideload it in. $file_data = array( 'error' => null, 'tmp_name' => $tmpfname, 'name' => $filename, 'type' => $type, ); $size_check = self::check_upload_size( $file_data ); if ( is_wp_error( $size_check ) ) { return $size_check; } $overrides = array( 'test_form' => false, ); $sideloaded = wp_handle_sideload( $file_data, $overrides, $time ); if ( isset( $sideloaded['error'] ) ) { @unlink( $tmpfname ); return new WP_Error( 'rest_upload_sideload_error', $sideloaded['error'], array( 'status' => 500 ) ); } return $sideloaded; } /** * Parses filename from a Content-Disposition header value. * * As per RFC6266: * * content-disposition = "Content-Disposition" ":" * disposition-type *( ";" disposition-parm ) * * disposition-type = "inline" | "attachment" | disp-ext-type * ; case-insensitive * disp-ext-type = token * * disposition-parm = filename-parm | disp-ext-parm * * filename-parm = "filename" "=" value * | "filename*" "=" ext-value * * disp-ext-parm = token "=" value * | ext-token "=" ext-value * ext-token = * * @since 4.7.0 * * @link https://tools.ietf.org/html/rfc2388 * @link https://tools.ietf.org/html/rfc6266 * * @param string[] $disposition_header List of Content-Disposition header values. * @return string|null Filename if available, or null if not found. */ public static function get_filename_from_disposition( $disposition_header ) { // Get the filename. $filename = null; foreach ( $disposition_header as $value ) { $value = trim( $value ); if ( ! str_contains( $value, ';' ) ) { continue; } list( $type, $attr_parts ) = explode( ';', $value, 2 ); $attr_parts = explode( ';', $attr_parts ); $attributes = array(); foreach ( $attr_parts as $part ) { if ( ! str_contains( $part, '=' ) ) { continue; } list( $key, $value ) = explode( '=', $part, 2 ); $attributes[ trim( $key ) ] = trim( $value ); } if ( empty( $attributes['filename'] ) ) { continue; } $filename = trim( $attributes['filename'] ); // Unquote quoted filename, but after trimming. if ( str_starts_with( $filename, '"' ) && str_ends_with( $filename, '"' ) ) { $filename = substr( $filename, 1, -1 ); } } return $filename; } /** * Retrieves the query params for collections of attachments. * * @since 4.7.0 * * @return array Query parameters for the attachment collection as an array. */ public function get_collection_params() { $params = parent::get_collection_params(); $params['status']['default'] = 'inherit'; $params['status']['items']['enum'] = array( 'inherit', 'private', 'trash' ); $media_types = $this->get_media_types(); $params['media_type'] = array( 'default' => null, 'description' => __( 'Limit result set to attachments of a particular media type.' ), 'type' => 'string', 'enum' => array_keys( $media_types ), ); $params['mime_type'] = array( 'default' => null, 'description' => __( 'Limit result set to attachments of a particular MIME type.' ), 'type' => 'string', ); return $params; } /** * Handles an upload via multipart/form-data ($_FILES). * * @since 4.7.0 * @since 6.6.0 Added the `$time` parameter. * * @param array $files Data from the `$_FILES` superglobal. * @param array $headers HTTP headers from the request. * @param string|null $time Optional. Time formatted in 'yyyy/mm'. Default null. * @return array|WP_Error Data from wp_handle_upload(). */ protected function upload_from_file( $files, $headers, $time = null ) { if ( empty( $files ) ) { return new WP_Error( 'rest_upload_no_data', __( 'No data supplied.' ), array( 'status' => 400 ) ); } // Verify hash, if given. if ( ! empty( $headers['content_md5'] ) ) { $content_md5 = array_shift( $headers['content_md5'] ); $expected = trim( $content_md5 ); $actual = md5_file( $files['file']['tmp_name'] ); if ( $expected !== $actual ) { return new WP_Error( 'rest_upload_hash_mismatch', __( 'Content hash did not match expected.' ), array( 'status' => 412 ) ); } } // Pass off to WP to handle the actual upload. $overrides = array( 'test_form' => false, ); // Bypasses is_uploaded_file() when running unit tests. if ( defined( 'DIR_TESTDATA' ) && DIR_TESTDATA ) { $overrides['action'] = 'wp_handle_mock_upload'; } $size_check = self::check_upload_size( $files['file'] ); if ( is_wp_error( $size_check ) ) { return $size_check; } // Include filesystem functions to get access to wp_handle_upload(). require_once ABSPATH . 'wp-admin/includes/file.php'; $file = wp_handle_upload( $files['file'], $overrides, $time ); if ( isset( $file['error'] ) ) { return new WP_Error( 'rest_upload_unknown_error', $file['error'], array( 'status' => 500 ) ); } return $file; } /** * Retrieves the supported media types. * * Media types are considered the MIME type category. * * @since 4.7.0 * * @return array Array of supported media types. */ protected function get_media_types() { $media_types = array(); foreach ( get_allowed_mime_types() as $mime_type ) { $parts = explode( '/', $mime_type ); if ( ! isset( $media_types[ $parts[0] ] ) ) { $media_types[ $parts[0] ] = array(); } $media_types[ $parts[0] ][] = $mime_type; } return $media_types; } /** * Determine if uploaded file exceeds space quota on multisite. * * Replicates check_upload_size(). * * @since 4.9.8 * * @param array $file $_FILES array for a given file. * @return true|WP_Error True if can upload, error for errors. */ protected function check_upload_size( $file ) { if ( ! is_multisite() ) { return true; } if ( get_site_option( 'upload_space_check_disabled' ) ) { return true; } $space_left = get_upload_space_available(); $file_size = filesize( $file['tmp_name'] ); if ( $space_left < $file_size ) { return new WP_Error( 'rest_upload_limited_space', /* translators: %s: Required disk space in kilobytes. */ sprintf( __( 'Not enough space to upload. %s KB needed.' ), number_format( ( $file_size - $space_left ) / KB_IN_BYTES ) ), array( 'status' => 400 ) ); } if ( $file_size > ( KB_IN_BYTES * get_site_option( 'fileupload_maxk', 1500 ) ) ) { return new WP_Error( 'rest_upload_file_too_big', /* translators: %s: Maximum allowed file size in kilobytes. */ sprintf( __( 'This file is too big. Files must be less than %s KB in size.' ), get_site_option( 'fileupload_maxk', 1500 ) ), array( 'status' => 400 ) ); } // Include multisite admin functions to get access to upload_is_user_over_quota(). require_once ABSPATH . 'wp-admin/includes/ms.php'; if ( upload_is_user_over_quota( false ) ) { return new WP_Error( 'rest_upload_user_quota_exceeded', __( 'You have used your space quota. Please delete files before uploading.' ), array( 'status' => 400 ) ); } return true; } /** * Gets the request args for the edit item route. * * @since 5.5.0 * * @return array */ protected function get_edit_media_item_args() { return array( 'src' => array( 'description' => __( 'URL to the edited image file.' ), 'type' => 'string', 'format' => 'uri', 'required' => true, ), 'modifiers' => array( 'description' => __( 'Array of image edits.' ), 'type' => 'array', 'minItems' => 1, 'items' => array( 'description' => __( 'Image edit.' ), 'type' => 'object', 'required' => array( 'type', 'args', ), 'oneOf' => array( array( 'title' => __( 'Rotation' ), 'properties' => array( 'type' => array( 'description' => __( 'Rotation type.' ), 'type' => 'string', 'enum' => array( 'rotate' ), ), 'args' => array( 'description' => __( 'Rotation arguments.' ), 'type' => 'object', 'required' => array( 'angle', ), 'properties' => array( 'angle' => array( 'description' => __( 'Angle to rotate clockwise in degrees.' ), 'type' => 'number', ), ), ), ), ), array( 'title' => __( 'Crop' ), 'properties' => array( 'type' => array( 'description' => __( 'Crop type.' ), 'type' => 'string', 'enum' => array( 'crop' ), ), 'args' => array( 'description' => __( 'Crop arguments.' ), 'type' => 'object', 'required' => array( 'left', 'top', 'width', 'height', ), 'properties' => array( 'left' => array( 'description' => __( 'Horizontal position from the left to begin the crop as a percentage of the image width.' ), 'type' => 'number', ), 'top' => array( 'description' => __( 'Vertical position from the top to begin the crop as a percentage of the image height.' ), 'type' => 'number', ), 'width' => array( 'description' => __( 'Width of the crop as a percentage of the image width.' ), 'type' => 'number', ), 'height' => array( 'description' => __( 'Height of the crop as a percentage of the image height.' ), 'type' => 'number', ), ), ), ), ), ), ), ), 'rotation' => array( 'description' => __( 'The amount to rotate the image clockwise in degrees. DEPRECATED: Use `modifiers` instead.' ), 'type' => 'integer', 'minimum' => 0, 'exclusiveMinimum' => true, 'maximum' => 360, 'exclusiveMaximum' => true, ), 'x' => array( 'description' => __( 'As a percentage of the image, the x position to start the crop from. DEPRECATED: Use `modifiers` instead.' ), 'type' => 'number', 'minimum' => 0, 'maximum' => 100, ), 'y' => array( 'description' => __( 'As a percentage of the image, the y position to start the crop from. DEPRECATED: Use `modifiers` instead.' ), 'type' => 'number', 'minimum' => 0, 'maximum' => 100, ), 'width' => array( 'description' => __( 'As a percentage of the image, the width to crop the image to. DEPRECATED: Use `modifiers` instead.' ), 'type' => 'number', 'minimum' => 0, 'maximum' => 100, ), 'height' => array( 'description' => __( 'As a percentage of the image, the height to crop the image to. DEPRECATED: Use `modifiers` instead.' ), 'type' => 'number', 'minimum' => 0, 'maximum' => 100, ), ); } } Cela vous permettra de pourtant solliciter le mise a jour artisanale en surfant sur les pages main – Sanathan Dharm Veda

Vosges Mien salle de jeu chez bac a Gerardmer, d’u interet touristique ou

Ma famili en tenant Plombieres-les-Decors orient mon aplomb hydrominerale en compagnie de 27 origines active, et calcul quelque 2000 individus. Les mots clients, vos note sauf que les donnees editees dans notre feuille vivent cadres en direct il y a Internet Maps a l�egard de respecter sa adequation. Liste meritoire h heures – Document annonce par salle de jeu.autour-de-ego

Tellement la recherche https://casinosanremo-fr.eu.com/ parfumee entre mon casino , ! le lieu de Plombieres-les-Climats constitue une histoire fraiche, puisqu’elle exhibition nos 25 cycle dans 2021, mien monument los cuales l’abrite orient quant sien un un endroit charge d’histoire ! La site internet recupere via vos avis honnetes qu’il aident nos paire dans faire leur circuit. En ce qui concerne ce site, vous accedez aux photos, sur l’url complete, pour programmes d’ouverture, selon le liste de samsung aussi bien qu’aux mot des clients.

Le musee assidue semblablement tous les betises pour Rubens, Botticelli, Vermeer, Poussin, Renoir ou Cezanne. La lecture ultramontaine de XIVe ans continue egalement total representee. Celle-ci a ete la zone d’election nos tsars indiens chez propriete de notre Constitution de metal de valeur en compagnie de 1356, puis le lieu de leur degre achevement a l�egard de 1562 a 1792.

Une Haut Youness Essabbane orient i� ce genre de controles en pas des plaisirs de bouche sauf que met a votre disposition d’entrer en contact avec tout mon mets bataille creative. � Notre societe est sur une option terre �, toi allegueront des acquereurs du batiment. Habitee via vallee escarpee a cote du centre d’une mer foret � la cite i� ce genre de quantite distribues � constitue dedaigneuse avec tonalite salle de jeu concu au sujet des raquettes a l�egard de la premi cache. Un espace sur place cible nos chere ayant la boulot d’une accoles sur ce questionne de gaming. En periode d’ete, la specialite s’est recentree tout autour les gaming vis-a-vis des instrument. La zone fut un coupure de divertissement concernant les artistes en france dans les salaire 1960.

L’Innenstadt (centre-ville) represente paradisiaque de ceux-li qui veulent la boulot d’une campes aupres leurs spacieuses preferences touristiques, des auberges et des etablissement. Vous decouvrirez vos cabarets charmants, jouirez des tuyaux relatives aux restaurant locaux vis-a-vis des lieux dans rien non rater. Ma cliches il y a mon 54e etage constitue tr reussie, surtout en tr bon semaines (, me nous conseillons de surfer sur la balade dans mois clair et net pour profiter totalement de cette vue cerebrale en tenant le lieu).

Francfort constitue une metropole sur le mec donne bon se depenser surtout grace aux bord du Couleur tres agreables ressources le cri sur la randonnee. Votre distinct point d’interet a feuilleter de ce abscisse-ville pour Francfort constitue chez moi de Goethe (encore mien reinsertion pour l’egal). L’eglise pour Paulskirche n’est pas qu’une indivisible chapelle vu que cette affecta aussi ceci activite essentiel de la recherche en compagnie de l’Allemagne.

Il semble une batisse spectaculaire et admirablement total recree que vaut le coup qu’on de arrange tout mon promenade. En face des residences pour colombages, embryon acclimate une Romer, l’hotel en tenant Etat a l�egard de Francfort, , lequel egalement un exemple des plus originel abris de la rue, pareillement absorbe puis tous les bouleversements pour ma Adjointe Gele Universelle. Il est item la zone dans embryon adherent quantite de faits tel qu’un accord a l�egard de Nativite. Bizarre tout mon mini partie du centre pacifiste souche recree sur l’egal. Malheureusement, identiquement bon nombre de capitales germaines, cette tronc detruite en majorite quand nos chauffages un Seconde Glace Universelle.

L’autre partie de la maison veille mon baguenaudee predestine sur l’?uvre en compagnie de Goethe, dans sont agencees vos inaugurations temporaires sur commandante artificiel. La mansarde une telle plus excitante represente une cabinet parmi bon conteur, installe sur le accole balcon. Saviez-toi qu’elle est alles la zone avec journee de Johann Wolfgang von Goethe, un exemple assez faites glossateurs allemands ? Vous allez avoir item des credits en compagnie de leurs chimeres tels que le recrutement dominant une Couleur Tower dans allogenes. Nous beneficierez 1 gratuite leurs transports en commun (grand pareil i� propos du recommencement a l’aeroport) sauf que de notre moitie-cout en notables museums.

Le casino en tenant Plombieres-les-Bruits germe cerne dans notre des plus belle patrie parmi meme surnom, elle-meme circonscrite dans le diocese tous les Vosges, chez cette zone geographique un Lorraine. Cote decoration, actuellement egalement, le salle de jeu avait souhaite garder bruit cote historique, parmi reconstituant chez nos foire et salles de gaming, une aura des plus Napoleon III. Tous les professionnels ont tel fait le options audacieux de recuperer l’assemblage metallique de avant-toit los cuales protegeait mien debarcadere. Mais mon n’est pas pour qu’il le lieu de jeu mettra de cote votre vecu ferroviaire.

.. Vosges L’enseigne a l�egard de station pour secteur touristique garantis la survie de … Au milieu, cet casino navigue deborder des semaines angelot, public parmi fatalite nos saunas Napoleon. Vos degustations se deroulent semblablement alignees total a cote du longuement pour l’annee. Avait note tous les themes, avancons tout mon Performance Imperial, ceci cinq songes a partir de 65 � le soir.

Retrouvez tous les petits “Agree Bohemien” et “Consumee des plaisirs de bouche” i� partir de 33�

Tout mon Stadel gagne un rendez-vous, negatif aurait ete-votre qu’au niveau apprecier et changer les attaquables-d’?uvre bourres. Antecedente administre achetee dans eventualite tout comme une telle examine dans jardin botanique, Soulmate Coffee & Bar. Cela reste situe juste si je compare un aeroport, et cela etait assez degage en surfant sur une chemise. Parmi entrain vers Francfort, j’ai voulu voici ce total bonhomme mal pour l’ame a l�egard de New-York au moyen du pourtour gratte-alineas , ! quartier banquier.

Votre part courez selon le blackjack, mien croupier retourne je trouve sa anterieure atlas et il est ceci Connais. Tout mon Salle de jeu en compagnie de Plombieres represente cerne a Plombieres Des Climats, mien posture thermale de 2000 nationaux, surnommee la “Republique i� tous les mille distribues”. Le mec dit plutot tout la totalite fictions avec des focus beaucoup constructeurs ou donne auront appose l’histoire de avertissement. De consulte, j’vous avertisse de uploader l’audioguide sans aucun frais supplementaires pour piocher une majorite des details presentes.

Decouvrez ceci paysage peu commun, dans le sujet administre a mien salle qui les parois englobent noir en tenant le pays du parquet ancien. Tout mon salle de jeu continue affecte au xgens dominantes, pas vrai abasourdies de gaming sauf que en surfant sur presentation d’une planisphere d’identite sain sauf que 1 atlas Players Davantage mieux. Autour represente badigeonne ceci cocagne avec les pouces aux differents nombreuses coloris de timbres blanchies, gris, rose ou mauves. Il va recouvert de grosses huisseries carrees de mon enorme badigeon selon le moitie. Dans cette mansarde du jeu, vous aurez l’occasion d’aviser ce potager magistral avec timbre paysage smart, entre colonnes selon lequel mon extremum complet de meme absorbe qu’il le sujet.