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<?php

namespace PhpOffice\PhpSpreadsheet\Calculation;

/**
 * @deprecated 1.18.0
 */
class MathTrig
{
    /**
     * ARABIC.
     *
     * Converts a Roman numeral to an Arabic numeral.
     *
     * Excel Function:
     *        ARABIC(text)
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Arabic::evaluate()
     *      Use the evaluate method in the MathTrig\Arabic class instead
     *
     * @param string $roman
     *
     * @return int|string the arabic numberal contrived from the roman numeral
     */
    public static function ARABIC($roman)
    {
        return MathTrig\Arabic::evaluate($roman);
    }

    /**
     * ATAN2.
     *
     * This function calculates the arc tangent of the two variables x and y. It is similar to
     *        calculating the arc tangent of y ÷ x, except that the signs of both arguments are used
     *        to determine the quadrant of the result.
     * The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a
     *        point with coordinates (xCoordinate, yCoordinate). The angle is given in radians between
     *        -pi and pi, excluding -pi.
     *
     * Note that the Excel ATAN2() function accepts its arguments in the reverse order to the standard
     *        PHP atan2() function, so we need to reverse them here before calling the PHP atan() function.
     *
     * Excel Function:
     *        ATAN2(xCoordinate,yCoordinate)
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Tangent::atan2()
     *      Use the atan2 method in the MathTrig\Trig\Tangent class instead
     *
     * @param float $xCoordinate the x-coordinate of the point
     * @param float $yCoordinate the y-coordinate of the point
     *
     * @return float|string the inverse tangent of the specified x- and y-coordinates, or a string containing an error
     */
    public static function ATAN2($xCoordinate = null, $yCoordinate = null)
    {
        return MathTrig\Trig\Tangent::atan2($xCoordinate, $yCoordinate);
    }

    /**
     * BASE.
     *
     * Converts a number into a text representation with the given radix (base).
     *
     * Excel Function:
     *        BASE(Number, Radix [Min_length])
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Base::evaluate()
     *      Use the evaluate method in the MathTrig\Base class instead
     *
     * @param float $number
     * @param float $radix
     * @param int $minLength
     *
     * @return string the text representation with the given radix (base)
     */
    public static function BASE($number, $radix, $minLength = null)
    {
        return MathTrig\Base::evaluate($number, $radix, $minLength);
    }

    /**
     * CEILING.
     *
     * Returns number rounded up, away from zero, to the nearest multiple of significance.
     *        For example, if you want to avoid using pennies in your prices and your product is
     *        priced at $4.42, use the formula =CEILING(4.42,0.05) to round prices up to the
     *        nearest nickel.
     *
     * Excel Function:
     *        CEILING(number[,significance])
     *
     * @Deprecated 1.17.0
     *
     * @param float $number the number you want to round
     * @param float $significance the multiple to which you want to round
     *
     * @return float|string Rounded Number, or a string containing an error
     *
     * @see MathTrig\Ceiling::ceiling()
     *      Use the ceiling() method in the MathTrig\Ceiling class instead
     */
    public static function CEILING($number, $significance = null)
    {
        return MathTrig\Ceiling::ceiling($number, $significance);
    }

    /**
     * COMBIN.
     *
     * Returns the number of combinations for a given number of items. Use COMBIN to
     *        determine the total possible number of groups for a given number of items.
     *
     * Excel Function:
     *        COMBIN(numObjs,numInSet)
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\Combinations::withoutRepetition()
     *      Use the withoutRepetition() method in the MathTrig\Combinations class instead
     *
     * @param int $numObjs Number of different objects
     * @param int $numInSet Number of objects in each combination
     *
     * @return float|int|string Number of combinations, or a string containing an error
     */
    public static function COMBIN($numObjs, $numInSet)
    {
        return MathTrig\Combinations::withoutRepetition($numObjs, $numInSet);
    }

    /**
     * EVEN.
     *
     * Returns number rounded up to the nearest even integer.
     * You can use this function for processing items that come in twos. For example,
     *        a packing crate accepts rows of one or two items. The crate is full when
     *        the number of items, rounded up to the nearest two, matches the crate's
     *        capacity.
     *
     * Excel Function:
     *        EVEN(number)
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\Round::even()
     *      Use the even() method in the MathTrig\Round class instead
     *
     * @param float $number Number to round
     *
     * @return float|int|string Rounded Number, or a string containing an error
     */
    public static function EVEN($number)
    {
        return MathTrig\Round::even($number);
    }

    /**
     * Helper function for Even.
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\Helpers::getEven()
     *      Use the evaluate() method in the MathTrig\Helpers class instead
     */
    public static function getEven(float $number): int
    {
        return (int) MathTrig\Helpers::getEven($number);
    }

    /**
     * FACT.
     *
     * Returns the factorial of a number.
     * The factorial of a number is equal to 1*2*3*...* number.
     *
     * Excel Function:
     *        FACT(factVal)
     *
     * @Deprecated 1.18.0
     *
     * @param float $factVal Factorial Value
     *
     * @return float|int|string Factorial, or a string containing an error
     *
     *@see MathTrig\Factorial::fact()
     *      Use the fact() method in the MathTrig\Factorial class instead
     */
    public static function FACT($factVal)
    {
        return MathTrig\Factorial::fact($factVal);
    }

    /**
     * FACTDOUBLE.
     *
     * Returns the double factorial of a number.
     *
     * Excel Function:
     *        FACTDOUBLE(factVal)
     *
     * @Deprecated 1.18.0
     *
     * @param float $factVal Factorial Value
     *
     * @return float|int|string Double Factorial, or a string containing an error
     *
     *@see MathTrig\Factorial::factDouble()
     *      Use the factDouble() method in the MathTrig\Factorial class instead
     */
    public static function FACTDOUBLE($factVal)
    {
        return MathTrig\Factorial::factDouble($factVal);
    }

    /**
     * FLOOR.
     *
     * Rounds number down, toward zero, to the nearest multiple of significance.
     *
     * Excel Function:
     *        FLOOR(number[,significance])
     *
     * @Deprecated 1.17.0
     *
     * @param float $number Number to round
     * @param float $significance Significance
     *
     * @return float|string Rounded Number, or a string containing an error
     *
     *@see MathTrig\Floor::floor()
     *      Use the floor() method in the MathTrig\Floor class instead
     */
    public static function FLOOR($number, $significance = null)
    {
        return MathTrig\Floor::floor($number, $significance);
    }

    /**
     * FLOOR.MATH.
     *
     * Round a number down to the nearest integer or to the nearest multiple of significance.
     *
     * Excel Function:
     *        FLOOR.MATH(number[,significance[,mode]])
     *
     * @Deprecated 1.17.0
     *
     * @param float $number Number to round
     * @param float $significance Significance
     * @param int $mode direction to round negative numbers
     *
     * @return float|string Rounded Number, or a string containing an error
     *
     *@see MathTrig\Floor::math()
     *      Use the math() method in the MathTrig\Floor class instead
     */
    public static function FLOORMATH($number, $significance = null, $mode = 0)
    {
        return MathTrig\Floor::math($number, $significance, $mode);
    }

    /**
     * FLOOR.PRECISE.
     *
     * Rounds number down, toward zero, to the nearest multiple of significance.
     *
     * Excel Function:
     *        FLOOR.PRECISE(number[,significance])
     *
     * @Deprecated 1.17.0
     *
     * @param float $number Number to round
     * @param float $significance Significance
     *
     * @return float|string Rounded Number, or a string containing an error
     *
     *@see MathTrig\Floor::precise()
     *      Use the precise() method in the MathTrig\Floor class instead
     */
    public static function FLOORPRECISE($number, $significance = 1)
    {
        return MathTrig\Floor::precise($number, $significance);
    }

    /**
     * INT.
     *
     * Casts a floating point value to an integer
     *
     * Excel Function:
     *        INT(number)
     *
     * @Deprecated 1.17.0
     *
     * @see MathTrig\IntClass::evaluate()
     *      Use the evaluate() method in the MathTrig\IntClass class instead
     *
     * @param float $number Number to cast to an integer
     *
     * @return int|string Integer value, or a string containing an error
     */
    public static function INT($number)
    {
        return MathTrig\IntClass::evaluate($number);
    }

    /**
     * GCD.
     *
     * Returns the greatest common divisor of a series of numbers.
     * The greatest common divisor is the largest integer that divides both
     *        number1 and number2 without a remainder.
     *
     * Excel Function:
     *        GCD(number1[,number2[, ...]])
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\Gcd::evaluate()
     *      Use the evaluate() method in the MathTrig\Gcd class instead
     *
     * @param mixed ...$args Data values
     *
     * @return int|mixed|string Greatest Common Divisor, or a string containing an error
     */
    public static function GCD(...$args)
    {
        return MathTrig\Gcd::evaluate(...$args);
    }

    /**
     * LCM.
     *
     * Returns the lowest common multiplier of a series of numbers
     * The least common multiple is the smallest positive integer that is a multiple
     * of all integer arguments number1, number2, and so on. Use LCM to add fractions
     * with different denominators.
     *
     * Excel Function:
     *        LCM(number1[,number2[, ...]])
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\Lcm::evaluate()
     *      Use the evaluate() method in the MathTrig\Lcm class instead
     *
     * @param mixed ...$args Data values
     *
     * @return int|string Lowest Common Multiplier, or a string containing an error
     */
    public static function LCM(...$args)
    {
        return MathTrig\Lcm::evaluate(...$args);
    }

    /**
     * LOG_BASE.
     *
     * Returns the logarithm of a number to a specified base. The default base is 10.
     *
     * Excel Function:
     *        LOG(number[,base])
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\Logarithms::withBase()
     *      Use the withBase() method in the MathTrig\Logarithms class instead
     *
     * @param float $number The positive real number for which you want the logarithm
     * @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10.
     *
     * @return float|string The result, or a string containing an error
     */
    public static function logBase($number, $base = 10)
    {
        return MathTrig\Logarithms::withBase($number, $base);
    }

    /**
     * MDETERM.
     *
     * Returns the matrix determinant of an array.
     *
     * Excel Function:
     *        MDETERM(array)
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\MatrixFunctions::determinant()
     *      Use the determinant() method in the MathTrig\MatrixFunctions class instead
     *
     * @param array $matrixValues A matrix of values
     *
     * @return float|string The result, or a string containing an error
     */
    public static function MDETERM($matrixValues)
    {
        return MathTrig\MatrixFunctions::determinant($matrixValues);
    }

    /**
     * MINVERSE.
     *
     * Returns the inverse matrix for the matrix stored in an array.
     *
     * Excel Function:
     *        MINVERSE(array)
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\MatrixFunctions::inverse()
     *      Use the inverse() method in the MathTrig\MatrixFunctions class instead
     *
     * @param array $matrixValues A matrix of values
     *
     * @return array|string The result, or a string containing an error
     */
    public static function MINVERSE($matrixValues)
    {
        return MathTrig\MatrixFunctions::inverse($matrixValues);
    }

    /**
     * MMULT.
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\MatrixFunctions::multiply()
     *      Use the multiply() method in the MathTrig\MatrixFunctions class instead
     *
     * @param array $matrixData1 A matrix of values
     * @param array $matrixData2 A matrix of values
     *
     * @return array|string The result, or a string containing an error
     */
    public static function MMULT($matrixData1, $matrixData2)
    {
        return MathTrig\MatrixFunctions::multiply($matrixData1, $matrixData2);
    }

    /**
     * MOD.
     *
     * @Deprecated 1.18.0
     *
     * @see MathTrig\Operations::mod()
     *      Use the mod() method in the MathTrig\Operations class instead
     *
     * @param int $a Dividend
     * @param int $b Divisor
     *
     * @return float|int|string Remainder, or a string containing an error
     */
    public static function MOD($a = 1, $b = 1)
    {
        return MathTrig\Operations::mod($a, $b);
    }

    /**
     * MROUND.
     *
     * Rounds a number to the nearest multiple of a specified value
     *
     * @Deprecated 1.17.0
     *
     * @param float $number Number to round
     * @param int $multiple Multiple to which you want to round $number
     *
     * @return float|string Rounded Number, or a string containing an error
     *
     *@see MathTrig\Round::multiple()
     *      Use the multiple() method in the MathTrig\Mround class instead
     */
    public static function MROUND($number, $multiple)
    {
        return MathTrig\Round::multiple($number, $multiple);
    }

    /**
     * MULTINOMIAL.
     *
     * Returns the ratio of the factorial of a sum of values to the product of factorials.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Factorial::multinomial()
     *      Use the multinomial method in the MathTrig\Factorial class instead
     *
     * @param mixed[] $args An array of mixed values for the Data Series
     *
     * @return float|string The result, or a string containing an error
     */
    public static function MULTINOMIAL(...$args)
    {
        return MathTrig\Factorial::multinomial(...$args);
    }

    /**
     * ODD.
     *
     * Returns number rounded up to the nearest odd integer.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Round::odd()
     *      Use the odd method in the MathTrig\Round class instead
     *
     * @param float $number Number to round
     *
     * @return float|int|string Rounded Number, or a string containing an error
     */
    public static function ODD($number)
    {
        return MathTrig\Round::odd($number);
    }

    /**
     * POWER.
     *
     * Computes x raised to the power y.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Operations::power()
     *      Use the evaluate method in the MathTrig\Power class instead
     *
     * @param float $x
     * @param float $y
     *
     * @return float|int|string The result, or a string containing an error
     */
    public static function POWER($x = 0, $y = 2)
    {
        return MathTrig\Operations::power($x, $y);
    }

    /**
     * PRODUCT.
     *
     * PRODUCT returns the product of all the values and cells referenced in the argument list.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Operations::product()
     *      Use the product method in the MathTrig\Operations class instead
     *
     * Excel Function:
     *        PRODUCT(value1[,value2[, ...]])
     *
     * @param mixed ...$args Data values
     *
     * @return float|string
     */
    public static function PRODUCT(...$args)
    {
        return MathTrig\Operations::product(...$args);
    }

    /**
     * QUOTIENT.
     *
     * QUOTIENT function returns the integer portion of a division. Numerator is the divided number
     *        and denominator is the divisor.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Operations::quotient()
     *      Use the quotient method in the MathTrig\Operations class instead
     *
     * Excel Function:
     *        QUOTIENT(value1[,value2[, ...]])
     *
     * @param mixed $numerator
     * @param mixed $denominator
     *
     * @return int|string
     */
    public static function QUOTIENT($numerator, $denominator)
    {
        return MathTrig\Operations::quotient($numerator, $denominator);
    }

    /**
     * RAND/RANDBETWEEN.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Random::randBetween()
     *      Use the randBetween or randBetween method in the MathTrig\Random class instead
     *
     * @param int $min Minimal value
     * @param int $max Maximal value
     *
     * @return float|int|string Random number
     */
    public static function RAND($min = 0, $max = 0)
    {
        return MathTrig\Random::randBetween($min, $max);
    }

    /**
     * ROMAN.
     *
     * Converts a number to Roman numeral
     *
     * @Deprecated 1.17.0
     *
     * @Ssee MathTrig\Roman::evaluate()
     *      Use the evaluate() method in the MathTrig\Roman class instead
     *
     * @param mixed $aValue Number to convert
     * @param mixed $style Number indicating one of five possible forms
     *
     * @return string Roman numeral, or a string containing an error
     */
    public static function ROMAN($aValue, $style = 0)
    {
        return MathTrig\Roman::evaluate($aValue, $style);
    }

    /**
     * ROUNDUP.
     *
     * Rounds a number up to a specified number of decimal places
     *
     * @Deprecated 1.17.0
     *
     * @See MathTrig\Round::up()
     *      Use the up() method in the MathTrig\Round class instead
     *
     * @param float $number Number to round
     * @param int $digits Number of digits to which you want to round $number
     *
     * @return float|string Rounded Number, or a string containing an error
     */
    public static function ROUNDUP($number, $digits)
    {
        return MathTrig\Round::up($number, $digits);
    }

    /**
     * ROUNDDOWN.
     *
     * Rounds a number down to a specified number of decimal places
     *
     * @Deprecated 1.17.0
     *
     * @See MathTrig\Round::down()
     *      Use the down() method in the MathTrig\Round class instead
     *
     * @param float $number Number to round
     * @param int $digits Number of digits to which you want to round $number
     *
     * @return float|string Rounded Number, or a string containing an error
     */
    public static function ROUNDDOWN($number, $digits)
    {
        return MathTrig\Round::down($number, $digits);
    }

    /**
     * SERIESSUM.
     *
     * Returns the sum of a power series
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\SeriesSum::evaluate()
     *      Use the evaluate method in the MathTrig\SeriesSum class instead
     *
     * @param mixed $x Input value
     * @param mixed $n Initial power
     * @param mixed $m Step
     * @param mixed[] $args An array of coefficients for the Data Series
     *
     * @return float|string The result, or a string containing an error
     */
    public static function SERIESSUM($x, $n, $m, ...$args)
    {
        return MathTrig\SeriesSum::evaluate($x, $n, $m, ...$args);
    }

    /**
     * SIGN.
     *
     * Determines the sign of a number. Returns 1 if the number is positive, zero (0)
     *        if the number is 0, and -1 if the number is negative.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Sign::evaluate()
     *      Use the evaluate method in the MathTrig\Sign class instead
     *
     * @param float $number Number to round
     *
     * @return int|string sign value, or a string containing an error
     */
    public static function SIGN($number)
    {
        return MathTrig\Sign::evaluate($number);
    }

    /**
     * returnSign = returns 0/-1/+1.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Helpers::returnSign()
     *      Use the returnSign method in the MathTrig\Helpers class instead
     */
    public static function returnSign(float $number): int
    {
        return MathTrig\Helpers::returnSign($number);
    }

    /**
     * SQRTPI.
     *
     * Returns the square root of (number * pi).
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Sqrt::sqrt()
     *      Use the pi method in the MathTrig\Sqrt class instead
     *
     * @param float $number Number
     *
     * @return float|string Square Root of Number * Pi, or a string containing an error
     */
    public static function SQRTPI($number)
    {
        return MathTrig\Sqrt::pi($number);
    }

    /**
     * SUBTOTAL.
     *
     * Returns a subtotal in a list or database.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Subtotal::evaluate()
     *      Use the evaluate method in the MathTrig\Subtotal class instead
     *
     * @param int $functionType
     *            A number 1 to 11 that specifies which function to
     *                    use in calculating subtotals within a range
     *                    list
     *            Numbers 101 to 111 shadow the functions of 1 to 11
     *                    but ignore any values in the range that are
     *                    in hidden rows or columns
     * @param mixed[] $args A mixed data series of values
     *
     * @return float|string
     */
    public static function SUBTOTAL($functionType, ...$args)
    {
        return MathTrig\Subtotal::evaluate($functionType, ...$args);
    }

    /**
     * SUM.
     *
     * SUM computes the sum of all the values and cells referenced in the argument list.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Sum::sumErroringStrings()
     *      Use the sumErroringStrings method in the MathTrig\Sum class instead
     *
     * Excel Function:
     *        SUM(value1[,value2[, ...]])
     *
     * @param mixed ...$args Data values
     *
     * @return float|string
     */
    public static function SUM(...$args)
    {
        return MathTrig\Sum::sumIgnoringStrings(...$args);
    }

    /**
     * SUMIF.
     *
     * Totals the values of cells that contain numbers within the list of arguments
     *
     * Excel Function:
     *        SUMIF(range, criteria, [sum_range])
     *
     * @Deprecated 1.17.0
     *
     * @see Statistical\Conditional::SUMIF()
     *      Use the SUMIF() method in the Statistical\Conditional class instead
     *
     * @param mixed $range Data values
     * @param string $criteria the criteria that defines which cells will be summed
     * @param mixed $sumRange
     *
     * @return float|string
     */
    public static function SUMIF($range, $criteria, $sumRange = [])
    {
        return Statistical\Conditional::SUMIF($range, $criteria, $sumRange);
    }

    /**
     * SUMIFS.
     *
     *    Totals the values of cells that contain numbers within the list of arguments
     *
     *    Excel Function:
     *        SUMIFS(sum_range, criteria_range1, criteria1, [criteria_range2, criteria2], ...)
     *
     * @Deprecated 1.17.0
     *
     * @see Statistical\Conditional::SUMIFS()
     *      Use the SUMIFS() method in the Statistical\Conditional class instead
     *
     * @param mixed $args Data values
     *
     * @return null|float|string
     */
    public static function SUMIFS(...$args)
    {
        return Statistical\Conditional::SUMIFS(...$args);
    }

    /**
     * SUMPRODUCT.
     *
     * Excel Function:
     *        SUMPRODUCT(value1[,value2[, ...]])
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Sum::product()
     *      Use the product method in the MathTrig\Sum class instead
     *
     * @param mixed ...$args Data values
     *
     * @return float|string The result, or a string containing an error
     */
    public static function SUMPRODUCT(...$args)
    {
        return MathTrig\Sum::product(...$args);
    }

    /**
     * SUMSQ.
     *
     * SUMSQ returns the sum of the squares of the arguments
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\SumSquares::sumSquare()
     *      Use the sumSquare method in the MathTrig\SumSquares class instead
     *
     * Excel Function:
     *        SUMSQ(value1[,value2[, ...]])
     *
     * @param mixed ...$args Data values
     *
     * @return float|string
     */
    public static function SUMSQ(...$args)
    {
        return MathTrig\SumSquares::sumSquare(...$args);
    }

    /**
     * SUMX2MY2.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\SumSquares::sumXSquaredMinusYSquared()
     *     Use the sumXSquaredMinusYSquared method in the MathTrig\SumSquares class instead
     *
     * @param mixed[] $matrixData1 Matrix #1
     * @param mixed[] $matrixData2 Matrix #2
     *
     * @return float|string
     */
    public static function SUMX2MY2($matrixData1, $matrixData2)
    {
        return MathTrig\SumSquares::sumXSquaredMinusYSquared($matrixData1, $matrixData2);
    }

    /**
     * SUMX2PY2.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\SumSquares::sumXSquaredPlusYSquared()
     *     Use the sumXSquaredPlusYSquared method in the MathTrig\SumSquares class instead
     *
     * @param mixed[] $matrixData1 Matrix #1
     * @param mixed[] $matrixData2 Matrix #2
     *
     * @return float|string
     */
    public static function SUMX2PY2($matrixData1, $matrixData2)
    {
        return MathTrig\SumSquares::sumXSquaredPlusYSquared($matrixData1, $matrixData2);
    }

    /**
     * SUMXMY2.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\SumSquares::sumXMinusYSquared()
     *      Use the sumXMinusYSquared method in the MathTrig\SumSquares class instead
     *
     * @param mixed[] $matrixData1 Matrix #1
     * @param mixed[] $matrixData2 Matrix #2
     *
     * @return float|string
     */
    public static function SUMXMY2($matrixData1, $matrixData2)
    {
        return MathTrig\SumSquares::sumXMinusYSquared($matrixData1, $matrixData2);
    }

    /**
     * TRUNC.
     *
     * Truncates value to the number of fractional digits by number_digits.
     *
     * @Deprecated 1.17.0
     *
     * @see MathTrig\Trunc::evaluate()
     *      Use the evaluate() method in the MathTrig\Trunc class instead
     *
     * @param float $value
     * @param int $digits
     *
     * @return float|string Truncated value, or a string containing an error
     */
    public static function TRUNC($value = 0, $digits = 0)
    {
        return MathTrig\Trunc::evaluate($value, $digits);
    }

    /**
     * SEC.
     *
     * Returns the secant of an angle.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Secant::sec()
     *      Use the sec method in the MathTrig\Trig\Secant class instead
     *
     * @param float $angle Number
     *
     * @return float|string The secant of the angle
     */
    public static function SEC($angle)
    {
        return MathTrig\Trig\Secant::sec($angle);
    }

    /**
     * SECH.
     *
     * Returns the hyperbolic secant of an angle.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Secant::sech()
     *      Use the sech method in the MathTrig\Trig\Secant class instead
     *
     * @param float $angle Number
     *
     * @return float|string The hyperbolic secant of the angle
     */
    public static function SECH($angle)
    {
        return MathTrig\Trig\Secant::sech($angle);
    }

    /**
     * CSC.
     *
     * Returns the cosecant of an angle.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cosecant::csc()
     *      Use the csc method in the MathTrig\Trig\Cosecant class instead
     *
     * @param float $angle Number
     *
     * @return float|string The cosecant of the angle
     */
    public static function CSC($angle)
    {
        return MathTrig\Trig\Cosecant::csc($angle);
    }

    /**
     * CSCH.
     *
     * Returns the hyperbolic cosecant of an angle.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cosecant::csch()
     *      Use the csch method in the MathTrig\Trig\Cosecant class instead
     *
     * @param float $angle Number
     *
     * @return float|string The hyperbolic cosecant of the angle
     */
    public static function CSCH($angle)
    {
        return MathTrig\Trig\Cosecant::csch($angle);
    }

    /**
     * COT.
     *
     * Returns the cotangent of an angle.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cotangent::cot()
     *      Use the cot method in the MathTrig\Trig\Cotangent class instead
     *
     * @param float $angle Number
     *
     * @return float|string The cotangent of the angle
     */
    public static function COT($angle)
    {
        return MathTrig\Trig\Cotangent::cot($angle);
    }

    /**
     * COTH.
     *
     * Returns the hyperbolic cotangent of an angle.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cotangent::coth()
     *      Use the coth method in the MathTrig\Trig\Cotangent class instead
     *
     * @param float $angle Number
     *
     * @return float|string The hyperbolic cotangent of the angle
     */
    public static function COTH($angle)
    {
        return MathTrig\Trig\Cotangent::coth($angle);
    }

    /**
     * ACOT.
     *
     * Returns the arccotangent of a number.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cotangent::acot()
     *      Use the acot method in the MathTrig\Trig\Cotangent class instead
     *
     * @param float $number Number
     *
     * @return float|string The arccotangent of the number
     */
    public static function ACOT($number)
    {
        return MathTrig\Trig\Cotangent::acot($number);
    }

    /**
     * Return NAN or value depending on argument.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Helpers::numberOrNan()
     *      Use the numberOrNan method in the MathTrig\Helpers class instead
     *
     * @param float $result Number
     *
     * @return float|string
     */
    public static function numberOrNan($result)
    {
        return MathTrig\Helpers::numberOrNan($result);
    }

    /**
     * ACOTH.
     *
     * Returns the hyperbolic arccotangent of a number.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cotangent::acoth()
     *      Use the acoth method in the MathTrig\Trig\Cotangent class instead
     *
     * @param float $number Number
     *
     * @return float|string The hyperbolic arccotangent of the number
     */
    public static function ACOTH($number)
    {
        return MathTrig\Trig\Cotangent::acoth($number);
    }

    /**
     * ROUND.
     *
     * Returns the result of builtin function round after validating args.
     *
     * @Deprecated 1.17.0
     *
     * @See MathTrig\Round::round()
     *      Use the round() method in the MathTrig\Round class instead
     *
     * @param mixed $number Should be numeric
     * @param mixed $precision Should be int
     *
     * @return float|string Rounded number
     */
    public static function builtinROUND($number, $precision)
    {
        return MathTrig\Round::round($number, $precision);
    }

    /**
     * ABS.
     *
     * Returns the result of builtin function abs after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Absolute::evaluate()
     *      Use the evaluate method in the MathTrig\Absolute class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|int|string Rounded number
     */
    public static function builtinABS($number)
    {
        return MathTrig\Absolute::evaluate($number);
    }

    /**
     * ACOS.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cosine::acos()
     *      Use the acos method in the MathTrig\Trig\Cosine class instead
     *
     * Returns the result of builtin function acos after validating args.
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinACOS($number)
    {
        return MathTrig\Trig\Cosine::acos($number);
    }

    /**
     * ACOSH.
     *
     * Returns the result of builtin function acosh after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cosine::acosh()
     *      Use the acosh method in the MathTrig\Trig\Cosine class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinACOSH($number)
    {
        return MathTrig\Trig\Cosine::acosh($number);
    }

    /**
     * ASIN.
     *
     * Returns the result of builtin function asin after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Sine::asin()
     *      Use the asin method in the MathTrig\Trig\Sine class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinASIN($number)
    {
        return MathTrig\Trig\Sine::asin($number);
    }

    /**
     * ASINH.
     *
     * Returns the result of builtin function asinh after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Sine::asinh()
     *      Use the asinh method in the MathTrig\Trig\Sine class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinASINH($number)
    {
        return MathTrig\Trig\Sine::asinh($number);
    }

    /**
     * ATAN.
     *
     * Returns the result of builtin function atan after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Tangent::atan()
     *      Use the atan method in the MathTrig\Trig\Tangent class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinATAN($number)
    {
        return MathTrig\Trig\Tangent::atan($number);
    }

    /**
     * ATANH.
     *
     * Returns the result of builtin function atanh after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Tangent::atanh()
     *      Use the atanh method in the MathTrig\Trig\Tangent class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinATANH($number)
    {
        return MathTrig\Trig\Tangent::atanh($number);
    }

    /**
     * COS.
     *
     * Returns the result of builtin function cos after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cosine::cos()
     *      Use the cos method in the MathTrig\Trig\Cosine class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinCOS($number)
    {
        return MathTrig\Trig\Cosine::cos($number);
    }

    /**
     * COSH.
     *
     * Returns the result of builtin function cos after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Cosine::cosh()
     *      Use the cosh method in the MathTrig\Trig\Cosine class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinCOSH($number)
    {
        return MathTrig\Trig\Cosine::cosh($number);
    }

    /**
     * DEGREES.
     *
     * Returns the result of builtin function rad2deg after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Angle::toDegrees()
     *      Use the toDegrees method in the MathTrig\Angle class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinDEGREES($number)
    {
        return MathTrig\Angle::toDegrees($number);
    }

    /**
     * EXP.
     *
     * Returns the result of builtin function exp after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Exp::evaluate()
     *      Use the evaluate method in the MathTrig\Exp class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinEXP($number)
    {
        return MathTrig\Exp::evaluate($number);
    }

    /**
     * LN.
     *
     * Returns the result of builtin function log after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Logarithms::natural()
     *      Use the natural method in the MathTrig\Logarithms class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinLN($number)
    {
        return MathTrig\Logarithms::natural($number);
    }

    /**
     * LOG10.
     *
     * Returns the result of builtin function log after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Logarithms::base10()
     *      Use the natural method in the MathTrig\Logarithms class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinLOG10($number)
    {
        return MathTrig\Logarithms::base10($number);
    }

    /**
     * RADIANS.
     *
     * Returns the result of builtin function deg2rad after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Angle::toRadians()
     *      Use the toRadians method in the MathTrig\Angle class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinRADIANS($number)
    {
        return MathTrig\Angle::toRadians($number);
    }

    /**
     * SIN.
     *
     * Returns the result of builtin function sin after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Sine::evaluate()
     *      Use the sin method in the MathTrig\Trig\Sine class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string sine
     */
    public static function builtinSIN($number)
    {
        return MathTrig\Trig\Sine::sin($number);
    }

    /**
     * SINH.
     *
     * Returns the result of builtin function sinh after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Sine::sinh()
     *      Use the sinh method in the MathTrig\Trig\Sine class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinSINH($number)
    {
        return MathTrig\Trig\Sine::sinh($number);
    }

    /**
     * SQRT.
     *
     * Returns the result of builtin function sqrt after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Sqrt::sqrt()
     *      Use the sqrt method in the MathTrig\Sqrt class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinSQRT($number)
    {
        return MathTrig\Sqrt::sqrt($number);
    }

    /**
     * TAN.
     *
     * Returns the result of builtin function tan after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Tangent::tan()
     *      Use the tan method in the MathTrig\Trig\Tangent class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinTAN($number)
    {
        return MathTrig\Trig\Tangent::tan($number);
    }

    /**
     * TANH.
     *
     * Returns the result of builtin function sinh after validating args.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Trig\Tangent::tanh()
     *      Use the tanh method in the MathTrig\Trig\Tangent class instead
     *
     * @param mixed $number Should be numeric
     *
     * @return float|string Rounded number
     */
    public static function builtinTANH($number)
    {
        return MathTrig\Trig\Tangent::tanh($number);
    }

    /**
     * Many functions accept null/false/true argument treated as 0/0/1.
     *
     * @Deprecated 1.18.0
     *
     * @See MathTrig\Helpers::validateNumericNullBool()
     *      Use the validateNumericNullBool method in the MathTrig\Helpers class instead
     *
     * @param mixed $number
     */
    public static function nullFalseTrueToNumber(&$number): void
    {
        $number = Functions::flattenSingleValue($number);
        if ($number === null) {
            $number = 0;
        } elseif (is_bool($number)) {
            $number = (int) $number;
        }
    }
}
¿Qué es la limpieza dental de perros? - Clínica veterinaria


Es la eliminación del sarro y la placa adherida a la superficie de los dientes mediante un equipo de ultrasonidos que garantiza la integridad de las piezas dentales a la vez que elimina en profundidad cualquier resto de suciedad.

A continuación se procede al pulido de los dientes mediante una fresa especial que elimina la placa bacteriana y devuelve a los dientes el aspecto sano que deben tener.

Una vez terminado todo el proceso, se mantiene al perro en observación hasta que se despierta de la anestesia, bajo la atenta supervisión de un veterinario.

¿Cada cuánto tiempo tengo que hacerle una limpieza dental a mi perro?

A partir de cierta edad, los perros pueden necesitar una limpieza dental anual o bianual. Depende de cada caso. En líneas generales, puede decirse que los perros de razas pequeñas suelen acumular más sarro y suelen necesitar una atención mayor en cuanto a higiene dental.


Riesgos de una mala higiene


Los riesgos más evidentes de una mala higiene dental en los perros son los siguientes:

  • Cuando la acumulación de sarro no se trata, se puede producir una inflamación y retracción de las encías que puede descalzar el diente y provocar caídas.
  • Mal aliento (halitosis).
  • Sarro perros
  • Puede ir a más
  • Las bacterias de la placa pueden trasladarse a través del torrente circulatorio a órganos vitales como el corazón ocasionando problemas de endocarditis en las válvulas. Las bacterias pueden incluso acantonarse en huesos (La osteomielitis es la infección ósea, tanto cortical como medular) provocando mucho dolor y una artritis séptica).

¿Cómo se forma el sarro?

El sarro es la calcificación de la placa dental. Los restos de alimentos, junto con las bacterias presentes en la boca, van a formar la placa bacteriana o placa dental. Si la placa no se retira, al mezclarse con la saliva y los minerales presentes en ella, reaccionará formando una costra. La placa se calcifica y se forma el sarro.

El sarro, cuando se forma, es de color blanquecino pero a medida que pasa el tiempo se va poniendo amarillo y luego marrón.

Síntomas de una pobre higiene dental
La señal más obvia de una mala salud dental canina es el mal aliento.

Sin embargo, a veces no es tan fácil de detectar
Y hay perros que no se dejan abrir la boca por su dueño. Por ejemplo…

Recientemente nos trajeron a la clínica a un perro que parpadeaba de un ojo y decía su dueño que le picaba un lado de la cara. Tenía molestias y dificultad para comer, lo que había llevado a sus dueños a comprarle comida blanda (que suele ser un poco más cara y llevar más contenido en grasa) durante medio año. Después de una exploración oftalmológica, nos dimos cuenta de que el ojo tenía una úlcera en la córnea probablemente de rascarse . Además, el canto lateral del ojo estaba inflamado. Tenía lo que en humanos llamamos flemón pero como era un perro de pelo largo, no se le notaba a simple vista. Al abrirle la boca nos llamó la atención el ver una muela llena de sarro. Le realizamos una radiografía y encontramos una fístula que llegaba hasta la parte inferior del ojo.

Le tuvimos que extraer la muela. Tras esto, el ojo se curó completamente con unos colirios y una lentilla protectora de úlcera. Afortunadamente, la úlcera no profundizó y no perforó el ojo. Ahora el perro come perfectamente a pesar de haber perdido una muela.

¿Cómo mantener la higiene dental de tu perro?
Hay varias maneras de prevenir problemas derivados de la salud dental de tu perro.

Limpiezas de dientes en casa
Es recomendable limpiar los dientes de tu perro semanal o diariamente si se puede. Existe una gran variedad de productos que se pueden utilizar:

Pastas de dientes.
Cepillos de dientes o dedales para el dedo índice, que hacen más fácil la limpieza.
Colutorios para echar en agua de bebida o directamente sobre el diente en líquido o en spray.

En la Clínica Tus Veterinarios enseñamos a nuestros clientes a tomar el hábito de limpiar los dientes de sus perros desde que son cachorros. Esto responde a nuestro compromiso con la prevención de enfermedades caninas.

Hoy en día tenemos muchos clientes que limpian los dientes todos los días a su mascota, y como resultado, se ahorran el dinero de hacer limpiezas dentales profesionales y consiguen una mejor salud de su perro.


Limpiezas dentales profesionales de perros y gatos

Recomendamos hacer una limpieza dental especializada anualmente. La realizamos con un aparato de ultrasonidos que utiliza agua para quitar el sarro. Después, procedemos a pulir los dientes con un cepillo de alta velocidad y una pasta especial. Hacemos esto para proteger el esmalte.

La frecuencia de limpiezas dentales necesaria varía mucho entre razas. En general, las razas grandes tienen buena calidad de esmalte, por lo que no necesitan hacerlo tan a menudo e incluso pueden pasarse la vida sin requerir una limpieza. Sin embargo, razas pequeñas como el Yorkshire o el Maltés, deben hacérselas todos los años desde cachorros si se quiere conservar sus piezas dentales.

Otro factor fundamental es la calidad del pienso. Algunas marcas han diseñado croquetas que limpian la superficie del diente y de la muela al masticarse.

Ultrasonido para perros

¿Se necesita anestesia para las limpiezas dentales de perros y gatos?

La limpieza dental en perros no es una técnica que pueda practicarse sin anestesia general , aunque hay veces que los propietarios no quieren anestesiar y si tiene poco sarro y el perro es muy bueno se puede intentar…… , pero no se va a poder pulir ni acceder a todas la zona de la boca …. Además los limpiadores dentales van a irrigar agua y hay riesgo de aspiración a vías respiratorias si no se realiza una anestesia correcta con intubación traqueal . En resumen , sin anestesia no se va hacer una correcta limpieza dental.

Tampoco sirve la sedación ya que necesitamos que el animal esté totalmente quieto, y el veterinario tenga un acceso completo a todas sus piezas dentales y encías.

Alimentos para la limpieza dental

Hay que tener cierto cuidado a la hora de comprar determinados alimentos porque no todos son saludables. Algunos tienen demasiado contenido graso, que en exceso puede causar problemas cardiovasculares y obesidad.

Los mejores alimentos para los dientes son aquellos que están elaborados por empresas farmacéuticas y llevan componentes químicos con tratamientos específicos para el diente del perro. Esto implica no solo limpieza a través de la acción mecánica de morder sino también un tratamiento antibacteriano para prevenir el sarro.

Conclusión

Si eres como la mayoría de dueños, por falta de tiempo , es probable que no estés prestando la suficiente atención a la limpieza dental de tu perro. Por eso te animamos a que comiences a limpiar los dientes de tu perro y consideres atender a su higiene bucal con frecuencia.

Estas simples medidas pueden conllevar a que tu perro tenga una vida más larga y mucho más saludable.

Si te resulta imposible introducir un cepillo de dientes a tu perro en la boca, pásate con él por clínica Tus Veterinarios y te explicamos cómo hacerlo.

Necesitas hacer una limpieza dental profesional a tu mascota?
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