date-picker + date-range-picker: trigger embedded inside the input

The calendar icon now lives INSIDE the date input as a flush trailing
affordance, not as a separate sibling button. The change is markup +
recipe CSS only — no API change.

- Demo (date-picker): drop the `.picker-control` grid wrapper; put
  `<DatePicker.Trigger />` as the last child of the Input snippet,
  after the segments. Codeblock snippets updated to match.
- Demo (date-range-picker): keep the dual-input + separator layout
  but move `<DateRangePicker.Trigger />` into the END input, since
  the trigger represents the trailing affordance of the whole range.
  Both code snippets updated.
- Recipe CSS (both): add nested rules that detect the embedded case
  (`[data-date-field-input] > [data-date-picker-trigger]`,
  `[data-date-range-field-input] > [data-date-range-picker-trigger]`).
  Embedded trigger drops its own border/background, matches the
  segment height, sits flush at the trailing edge with
  `margin-inline-start: auto`, and uses the segment focus ring on
  hover/focus instead of the standalone field ring.

The standalone (sibling) treatment stays available for consumers who
prefer the icon as a separate control.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

src/uix/eidos/components/date-picker/date-picker.css

@@ -133,6 +133,41 @@
 	opacity: var(--date-field-disabled-opacity);
 }
 
+/* ── Trigger embedded inside the input ──────────────────────────────────────
+ * When the consumer places <DatePicker.Trigger /> as a descendant of
+ * <DatePicker.Input>, the icon becomes a flush affordance at the input's
+ * trailing edge: no border, no separate background, smaller hit area sized
+ * to the segment height, and a subtle hover tint that doesn't compete with
+ * the field's focus ring. The standalone treatment above stays available
+ * for consumers who place the trigger as a sibling. */
+
+[data-date-field-input] [data-date-picker-trigger] {
+	flex: 0 0 auto;
+	inline-size: var(--date-field-segment-height);
+	block-size: var(--date-field-segment-height);
+	margin-inline-start: auto;
+	padding: 0;
+	border: none;
+	border-radius: var(--date-field-segment-radius);
+	background: transparent;
+	color: var(--date-field-segment-color);
+	box-shadow: none;
+}
+
+[data-date-field-input] [data-date-picker-trigger]:hover {
+	border: none;
+	background: var(--_date-field-accent-track);
+	color: var(--_date-field-accent-text);
+}
+
+[data-date-field-input] [data-date-picker-trigger]:focus-visible {
+	outline: none;
+	border: none;
+	background: var(--_date-field-accent-track);
+	color: var(--_date-field-accent-text);
+	box-shadow: var(--date-field-segment-focus-shadow);
+}
+
 [data-popover-content]:has([data-date-picker-calendar]) {
 	--_popover-content-width-override: max-content;
 	--_popover-content-min-width-override: max-content;

src/uix/eidos/components/date-range-picker/date-range-picker.css

@@ -286,6 +286,39 @@
 	opacity: var(--date-field-disabled-opacity);
 }
 
+/* ── Trigger embedded inside the input ──────────────────────────────────────
+ * Same pattern as date-picker: when the consumer places the trigger as a
+ * descendant of one of the range inputs (usually the `end` input, as the
+ * trailing affordance of the whole range), the icon button becomes flush
+ * inside the input chrome. */
+
+[data-date-range-field-input] [data-date-range-picker-trigger] {
+	flex: 0 0 auto;
+	inline-size: var(--date-field-segment-height);
+	block-size: var(--date-field-segment-height);
+	margin-inline-start: auto;
+	padding: 0;
+	border: none;
+	border-radius: var(--date-field-segment-radius);
+	background: transparent;
+	color: var(--date-field-segment-color);
+	box-shadow: none;
+}
+
+[data-date-range-field-input] [data-date-range-picker-trigger]:hover {
+	border: none;
+	background: var(--_date-field-accent-track);
+	color: var(--_date-field-accent-text);
+}
+
+[data-date-range-field-input] [data-date-range-picker-trigger]:focus-visible {
+	outline: none;
+	border: none;
+	background: var(--_date-field-accent-track);
+	color: var(--_date-field-accent-text);
+	box-shadow: var(--date-field-segment-focus-shadow);
+}
+
 [data-popover-content]:has([data-date-range-picker-calendar]) {
 	--_popover-content-width-override: max-content;
 	--_popover-content-min-width-override: max-content;

web/routes/uix/components/date-picker/+page.svelte

@@ -275,9 +275,9 @@
 			'      {#each segments as { part, value }, index (`${part}-${index}`)}',
 			'        <DatePicker.Segment {part}>{value}</DatePicker.Segment>',
 			'      {/each}',
+			'      <DatePicker.Trigger />',
 			'    {/snippet}',
 			'  </DatePicker.Input>',
-			'  <DatePicker.Trigger />',
 			'  <DatePicker.Portal>',
 			'    <DatePicker.Content align="end" sideOffset={10} collisionPadding={12}>',
 			'      <DatePicker.Calendar>',
@@ -345,9 +345,9 @@
 			'      {#each segments as { part, value }, index (`${part}-${index}`)}',
 			'        <DatePicker.Segment {part}>{value}</DatePicker.Segment>',
 			'      {/each}',
+			'      <DatePicker.Trigger />',
 			'    {/snippet}',
 			'  </DatePicker.Input>',
-			'  <DatePicker.Trigger />',
 			'  <DatePicker.Portal>',
 			'    <DatePicker.Content align="end" sideOffset={10} collisionPadding={12}>',
 			'      <DatePicker.Calendar>',
@@ -429,16 +429,14 @@
 					weekdayFormat="short"
 				>
 					<DatePicker.Label>{labelText}</DatePicker.Label>
-					<div class="picker-control">
-						<DatePicker.Input name={inputName} aria-label={labelText}>
-							{#snippet children({ segments }: DatePickerInputSnippetProps)}
-								{#each segments as { part, value }, index (`${part}-${index}`)}
-									<DatePicker.Segment {part}>{value}</DatePicker.Segment>
-								{/each}
-							{/snippet}
-						</DatePicker.Input>
-						<DatePicker.Trigger />
-					</div>
+					<DatePicker.Input name={inputName} aria-label={labelText}>
+						{#snippet children({ segments }: DatePickerInputSnippetProps)}
+							{#each segments as { part, value }, index (`${part}-${index}`)}
+								<DatePicker.Segment {part}>{value}</DatePicker.Segment>
+							{/each}
+							<DatePicker.Trigger />
+						{/snippet}
+					</DatePicker.Input>
 					<div class="date-picker-status" data-invalid={boundsMessage || valueMessage !== 'Selected date is valid.' || undefined}>
 						<span>{boundsMessage || valueMessage}</span>
 					</div>
@@ -1003,13 +1001,6 @@
 		inline-size: min(32rem, 100%);
 	}
 
-	.picker-control {
-		display: grid;
-		grid-template-columns: minmax(0, 1fr) auto;
-		align-items: center;
-		gap: var(--uix-space-2);
-	}
-
 	.date-picker-status {
 		display: flex;
 		align-items: center;

web/routes/uix/components/date-range-picker/+page.svelte

@@ -370,8 +370,10 @@
 			'>',
 			`  <DateRangePicker.Label>${labelText}</DateRangePicker.Label>`,
 			`  <DateRangePicker.Input type="start" name="${startName}">...</DateRangePicker.Input>`,
-			`  <DateRangePicker.Input type="end" name="${endName}">...</DateRangePicker.Input>`,
-			'  <DateRangePicker.Trigger />',
+			`  <DateRangePicker.Input type="end" name="${endName}">`,
+			'    <!-- end segments -->',
+			'    <DateRangePicker.Trigger />',
+			'  </DateRangePicker.Input>',
 			'  <DateRangePicker.Portal>',
 			'    <DateRangePicker.Content align="end" sideOffset={10} collisionPadding={12}>',
 			'      <DateRangePicker.Calendar>...</DateRangePicker.Calendar>',
@@ -429,8 +431,10 @@
 			'  <div class="range-field-row">',
 			`    <DateRangePicker.Input type="start" name="${startName}">...</DateRangePicker.Input>`,
 			'    <span aria-hidden="true">to</span>',
-			`    <DateRangePicker.Input type="end" name="${endName}">...</DateRangePicker.Input>`,
-			'    <DateRangePicker.Trigger />',
+			`    <DateRangePicker.Input type="end" name="${endName}">`,
+			'      <!-- end segments -->',
+			'      <DateRangePicker.Trigger />',
+			'    </DateRangePicker.Input>',
 			'  </div>',
 			'  <DateRangePicker.Portal>',
 			'    <DateRangePicker.Content align="end" sideOffset={10} collisionPadding={12}>',
@@ -513,9 +517,9 @@
 								{#each segments as { part, value }, index (`end-${part}-${index}`)}
 									<DateRangePicker.Segment {part}>{value}</DateRangePicker.Segment>
 								{/each}
+								<DateRangePicker.Trigger />
 							{/snippet}
 						</DateRangePicker.Input>
-						<DateRangePicker.Trigger />
 					</div>
 					<div class="range-picker-status" data-invalid={statusMessage !== 'Range is valid.' || undefined}>
 						<span>{statusMessage}</span>