✨ feat(nutriphi): add AI-powered nutrition tracking app

- NestJS backend with Gemini AI for food photo analysis
- SvelteKit web app with Svelte 5 runes
- Drizzle ORM schema for meals, goals, favorites, recommendations
- Unified auth pages using shared-auth-ui components
- Landing page with Astro
- Shared types and utilities package

apps/nutriphi/packages/shared/src/utils/index.ts

@@ -0,0 +1,174 @@
+import { DEFAULT_DAILY_VALUES, NUTRIENT_INFO } from '../constants';
+import type { MealNutrition, NutritionProgress, UserGoals } from '../types';
+
+/**
+ * Calculate nutrition progress towards daily goals
+ */
+export function calculateProgress(
+	totalNutrition: Partial<MealNutrition>,
+	goals?: UserGoals
+): NutritionProgress {
+	const targetCalories = goals?.dailyCalories ?? DEFAULT_DAILY_VALUES.calories;
+	const targetProtein = goals?.dailyProtein ?? DEFAULT_DAILY_VALUES.protein;
+	const targetCarbs = goals?.dailyCarbs ?? DEFAULT_DAILY_VALUES.carbohydrates;
+	const targetFat = goals?.dailyFat ?? DEFAULT_DAILY_VALUES.fat;
+
+	return {
+		calories: {
+			current: totalNutrition.calories ?? 0,
+			target: targetCalories,
+			percentage: Math.min(
+				100,
+				Math.round(((totalNutrition.calories ?? 0) / targetCalories) * 100)
+			),
+		},
+		protein: {
+			current: totalNutrition.protein ?? 0,
+			target: targetProtein,
+			percentage: Math.min(100, Math.round(((totalNutrition.protein ?? 0) / targetProtein) * 100)),
+		},
+		carbs: {
+			current: totalNutrition.carbohydrates ?? 0,
+			target: targetCarbs,
+			percentage: Math.min(
+				100,
+				Math.round(((totalNutrition.carbohydrates ?? 0) / targetCarbs) * 100)
+			),
+		},
+		fat: {
+			current: totalNutrition.fat ?? 0,
+			target: targetFat,
+			percentage: Math.min(100, Math.round(((totalNutrition.fat ?? 0) / targetFat) * 100)),
+		},
+	};
+}
+
+/**
+ * Sum up nutrition from multiple meals
+ */
+export function sumNutrition(
+	meals: Array<{ nutrition?: Partial<MealNutrition> | null }>
+): Partial<MealNutrition> {
+	const sum = {
+		calories: 0,
+		protein: 0,
+		carbohydrates: 0,
+		fat: 0,
+		fiber: 0,
+		sugar: 0,
+	};
+
+	for (const meal of meals) {
+		if (!meal.nutrition) continue;
+		const n = meal.nutrition;
+		if (typeof n.calories === 'number') sum.calories += n.calories;
+		if (typeof n.protein === 'number') sum.protein += n.protein;
+		if (typeof n.carbohydrates === 'number') sum.carbohydrates += n.carbohydrates;
+		if (typeof n.fat === 'number') sum.fat += n.fat;
+		if (typeof n.fiber === 'number') sum.fiber += n.fiber;
+		if (typeof n.sugar === 'number') sum.sugar += n.sugar;
+	}
+
+	return sum;
+}
+
+/**
+ * Format nutrient value with unit
+ */
+export function formatNutrient(
+	nutrient: keyof typeof NUTRIENT_INFO,
+	value: number | undefined
+): string {
+	if (value === undefined) return '-';
+	const info = NUTRIENT_INFO[nutrient];
+	if (!info) return `${value}`;
+
+	if (nutrient === 'calories') {
+		return `${Math.round(value)} ${info.unit}`;
+	}
+
+	return `${value.toFixed(1)} ${info.unit}`;
+}
+
+/**
+ * Get color for progress percentage
+ */
+export function getProgressColor(percentage: number): string {
+	if (percentage < 50) return '#EF4444'; // Red
+	if (percentage < 80) return '#F59E0B'; // Orange
+	if (percentage <= 100) return '#22C55E'; // Green
+	return '#EF4444'; // Red (over target)
+}
+
+/**
+ * Detect deficiencies based on daily values
+ */
+export function detectDeficiencies(
+	totalNutrition: Partial<MealNutrition>
+): Array<{ nutrient: string; percentage: number; label: string }> {
+	const deficiencies: Array<{ nutrient: string; percentage: number; label: string }> = [];
+
+	const checks = [
+		{ key: 'protein', threshold: 0.5 },
+		{ key: 'fiber', threshold: 0.5 },
+		{ key: 'vitaminC', threshold: 0.5 },
+		{ key: 'vitaminD', threshold: 0.5 },
+		{ key: 'iron', threshold: 0.5 },
+		{ key: 'calcium', threshold: 0.5 },
+	] as const;
+
+	for (const check of checks) {
+		const value = totalNutrition[check.key as keyof typeof totalNutrition];
+		const dailyValue = DEFAULT_DAILY_VALUES[check.key as keyof typeof DEFAULT_DAILY_VALUES];
+
+		if (
+			typeof value === 'number' &&
+			typeof dailyValue === 'number' &&
+			value < dailyValue * check.threshold
+		) {
+			const info = NUTRIENT_INFO[check.key as keyof typeof NUTRIENT_INFO];
+			deficiencies.push({
+				nutrient: check.key,
+				percentage: Math.round((value / dailyValue) * 100),
+				label: info?.label ?? check.key,
+			});
+		}
+	}
+
+	return deficiencies;
+}
+
+/**
+ * Get meal type based on current time
+ */
+export function suggestMealType(): 'breakfast' | 'lunch' | 'dinner' | 'snack' {
+	const hour = new Date().getHours();
+
+	if (hour >= 5 && hour < 11) return 'breakfast';
+	if (hour >= 11 && hour < 14) return 'lunch';
+	if (hour >= 17 && hour < 21) return 'dinner';
+	return 'snack';
+}
+
+/**
+ * Format date for display
+ */
+export function formatDateForDisplay(date: Date, locale = 'de-DE'): string {
+	return new Intl.DateTimeFormat(locale, {
+		weekday: 'long',
+		day: 'numeric',
+		month: 'long',
+	}).format(date);
+}
+
+/**
+ * Check if date is today
+ */
+export function isToday(date: Date): boolean {
+	const today = new Date();
+	return (
+		date.getDate() === today.getDate() &&
+		date.getMonth() === today.getMonth() &&
+		date.getFullYear() === today.getFullYear()
+	);
+}