Searching for products in the current WooCommerce category?

Question

PHP

It is necessary that the search for goods takes place exactly according to the category in which the person is located. example:
All categories(to search for all categories) -> Honda(search only by category) -> CBR1000RR 08-11(search only by category)
Has anyone encountered this problem or can help figure it out?
Created an additional field in the WooCommerce search form:

<input type="hidden" name="product_cat" value="???" />

But I don’t know how to determine the current category in order to pass this parameter to value.
Not strong in php, but this code doesn't work for me:

<?php global $product; //Если не объявлен ранее. Не уверен в необходимости.
global $post;
$categories = get_the_terms( $post->ID, 'product_cat' );
foreach ($categories as $category) {
    echo $category->slug; //Может быть в нескольких категориях
} ?>

Answer 1

<?php
global $wp_query;
$current_cat_id = $wp_query->get_queried_object()->term_id;
?>
<input type="hidden" name="product_cat" value="<?=$current_cat_id?>" />

Answer 2

Thanks, but your solution only displays the category name on the category pages, and I also need it on the product page. I don't understand why. How to fix it, dear experts?

<?php
global $wp_query;
$current_cat_name = $wp_query->get_queried_object()->slug;
if (is_product()) {
  echo '<input type="hidden" name="product_cat" value="'. $current_cat_name .'" />';
} elseif (is_product_category()) {
  echo '<input type="hidden" name="product_cat" value="'. $current_cat_name .'" />';
} else {
  echo '';
}
?>