/// <summary>
        /// Creates a Complex32 dense vector based on a string. The string can be in the following formats (without the
        /// quotes): 'n', 'n;n;..', '(n;n;..)', '[n;n;...]', where n is a double.
        /// </summary>
        /// <returns>
        /// A Complex32 dense vector containing the values specified by the given string.
        /// </returns>
        /// <param name="value">
        /// the string to parse.
        /// </param>
        /// <param name="formatProvider">
        /// An <see cref="IFormatProvider"/> that supplies culture-specific formatting information.
        /// </param>
        public static DenseVector Parse(string value, IFormatProvider formatProvider)
        {
            if (value == null)
            {
                throw new ArgumentNullException(value);
            }

            value = value.Trim();
            if (value.Length == 0)
            {
                throw new FormatException();
            }

            // strip out parens
            if (value.StartsWith("(", StringComparison.Ordinal))
            {
                if (!value.EndsWith(")", StringComparison.Ordinal))
                {
                    throw new FormatException();
                }

                value = value.Substring(1, value.Length - 2).Trim();
            }

            if (value.StartsWith("[", StringComparison.Ordinal))
            {
                if (!value.EndsWith("]", StringComparison.Ordinal))
                {
                    throw new FormatException();
                }

                value = value.Substring(1, value.Length - 2).Trim();
            }

            // keywords
            var textInfo = formatProvider.GetTextInfo();
            var keywords = new[] { textInfo.ListSeparator };

            // lexing
            var tokens = new LinkedList <string>();

            GlobalizationHelper.Tokenize(tokens.AddFirst(value), keywords, 0);
            var token = tokens.First;

            if (token == null || tokens.Count.IsEven())
            {
                throw new FormatException();
            }

            // parsing
            var data = new Complex32[(tokens.Count + 1) >> 1];

            for (var i = 0; i < data.Length; i++)
            {
                if (token == null || token.Value == textInfo.ListSeparator)
                {
                    throw new FormatException();
                }

                data[i] = token.Value.ToComplex32(formatProvider);

                token = token.Next;
                if (token != null)
                {
                    token = token.Next;
                }
            }

            return(new DenseVector(data));
        }