mn8 Language Reference | Index

Real

SUMMARY:          DETAIL:

Description

A lexical real constant evaluates to a value of type real. The internal representation of reals is 64-bit IEEE 754 floating-point. No exceptions are thrown in real math.

Usage

        Real Expressions
            Expression   Value    Value Type
             ----------   -----    ----------
             1.2          1.2      Real
             2/2          1.0      Real

Constructor List

Operator List

Method List

Detailed Constructor Info

Constructs an integer concept inicialized with the value represented by the string given as parameter.

Detailed Operator Info

Adds the concept value given as parameter to this concept value and returns the result.

Returns true if this concept value is smaller or equals with the parameters value, false otherwise.

Returns true if this concept value is smaller then the parameters value, false otherwise.

Returns true if this concept value is greater or equals with the parameters value, false otherwise.

Divide this concept value with the concept value given as parameter and returns the result.

Decrease this concept value with 1.

Substracts the concept value given as parameter from this concept value and returns the result.

Increase this concept value with 1.

Multipy with the parameter value this concept value and returns the result.

Returns true if this concept value is greater then the parameters value, false otherwise.

Returns true if this concept value equals with the parameters value, false otherwise.

Detailed Method Info

Extracts the root of this concept value and returns the result.

                $r = 2
                print $r.sqrt
                -- the result is --
                1.4142135
                

Returns a logical concept representing this concept's value. (ex. 1 = true)

            $r = 0
            print $r.toLogicalConcept
            $r = 1
            print $r.toLogicalConcept
            -- the result is --
            false
            true
            

Returns a string concept representing this concept's value.

                $r = 2.23523
                print $r.toStringConcept
                -- the result is --
                2.23523
                

Returns the absolute value of an real concept. If the argument is not negative, the argument is returned. If the argument is negative, the negation of the argument is returned.

            $r = -15.837
            print $r.abs
            -- the result is --
            15.837
            

Returns the greater of two real concepts. If the arguments have the same value, the result is that same value.

            $r = 12.576
            $s = 12.578
            print $r.max($s)
            -- the result is --
            12.578
            

Returns the smaller of two real concepts. If the arguments have the same value, the result is that same value.

            $r = 12.576
            $s = 12.578
            print $r.min($s)
            -- the result is --
            12.576
            

Returns the arc cosine of an angle, in the range of 0.0 through pi.
Special case :

• If the current value is NaN or its absolute value is greater than 1, then the result is NaN.

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 0.274
            print $r.acos
            -- the result is --
            1.2932466
            

Returns the arc sine of an angle, in the range of -pi/2 through pi/2.
Special cases :

• If the current value is NaN or its absolute value is greater than 1, then the result is NaN.
• If the current value is positive zero, then the result is positive zero;
• if the current value is negative zero, then the result is negative zero.

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 0.274
            print $r.asin
            -- the result is --
            0.27754974
            

Returns the arc tangent of an angle, in the range of -pi/2 through pi/2.
Special cases :

• If the current value is NaN, then the result is NaN.
• If the current value is positive zero, then the result is positive zero;
• if the current value is negative zero, then the result is negative zero.

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 0.274
            print $r.atan
            -- the result is --
            0.26743627
            

Returns the smallest (closest to negative infinity) real concept that is not less than the argument and is equal to a mathematical integer.
Special cases :

• If the current value is already equal to a mathematical integer, then the result is the same as the argument.
• If the curent value is NaN or an infinity or positive zero or negative zero, then the result is the same as the argument.
• If the current value is less than zero but greater than -1.0, then the result is negative zero.

Note that the value of ceil(x) is exactly the value of -floor(-x).

            $r = 34.1568
            print $r.ceil
            -- the result is --
            35.0
            

Returns the trigonometric cosine of an angle.
Special case:

• If the current value is NaN or an infinity, then the result is NaN.

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 0.274
            print $r.cos
            -- the result is --
            0.96269625
            

Returns the exponential number e (i.e., 2.718...) raised to the power of a real concept.
Special cases:

• If the current value is NaN, the result is NaN.
• If the current value is positive infinity, then the result is positive infinity.
• If the current value is negative infinity, then the result is positive zero.

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 4.183
            print $r.exp
            -- the result is --
            65.56225
            

Returns the largest (closest to positive infinity) real concept that is not greater than the argument and is equal to a mathematical integer.
Special cases:

• If the current value value is already equal to a mathematical integer, then the result is the same as the argument.
• If the current value is NaN or an infinity or positive zero or negative zero, then the result is the same as the argument.

            $r = 34.6458
            print $r.floor
            -- the result is --
            34.0
            

Returns the natural logarithm (base e) of a double value.
Special cases:

• If the current value is NaN or less than zero, then the result is NaN.
• If the current value is positive infinity, then the result is positive infinity.
• If the current value is positive zero or negative zero, then the result is negative infinity.

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 4.183
            print $r.log
            -- the result is --
            1.4310287
            

Returns of value of the current valur raised to the power of the argument.
Special cases:

• If the argument is positive or negative zero, then the result is 1.0.
• If the argument is 1.0, then the result is the same as the current value.
• If the argument is NaN, then the result is NaN.
• If the current value is NaN and the argument is nonzero, then the result is NaN.
• If the absolute value of the current value is greater than 1 and the argument is positive infinity, or the absolute value of the current value is less than 1 and the argument is negative infinity, then the result is positive infinity.
• If the absolute value of the current value is greater than 1 and the argument is negative infinity, or the absolute value of the current value is less than 1 and the argument is positive infinity, then the result is positive zero.
• If the absolute value of the current value equals 1 and the argument is infinite, then the result is NaN.
• If the current value is positive zero and the argument is greater than zero, or the current value is positive infinity and the argument is less than zero, then the result is positive zero.
• If the current value is positive zero and the argument is less than zero, or the current value is positive infinity and the argument is greater than zero, then the result is positive infinity.
• If the current value is negative zero and the argument is greater than zero but not a finite odd integer, or the current value is negative infinity and the argument is less than zero but not a finite odd integer, then the result is positive zero.
• If the current value is negative zero and the argument is a positive finite odd integer, or the current value is negative infinity and the argument is a negative finite odd integer, then the result is negative zero.
• If the current value is negative zero and the argument is less than zero but not a finite odd integer, or the current value is negative infinity and the argument is greater than zero but not a finite odd integer, then the result is positive infinity.
• If the current value is negative zero and the argument is a negative finite odd integer, or the current value is negative infinity and the argument is a positive finite odd integer, then the result is negative infinity.
• If the current value is less than zero and the argument is a finite even integer, then the result is equal to the result of raising the absolute value of the current value to the power of the argument.
• If the current value is less than zero and the argument is a finite odd integer, then the result is equal to the negative of the result of raising the absolute value of the current value to the power of the argument.
• If the current value is finite and less than zero and the argument is finite and not an integer, then the result is NaN.
• If current value and argument are integers, then the result is exactly equal to the mathematical result of raising the current value to the power of the argument if that result can in fact be represented exactly as a double value.

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 2
            print $r.pow(3)
            -- the result is --
            8.0
            

Returns the trigonometric sine of an angle.
Special cases:

• If the current value is NaN or an infinity, then the result is NaN.
• If the current value is positive zero, then the result is positive zero; if the current value is negative zero, then the result is negative zero.

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 0.274
            print $r.sin
            -- the result is --
            0.27058437
            

Returns the trigonometric tangent of an angle.
Special cases:

• If the current value is NaN or an infinity, then the result is NaN.
• If the current value is positive zero, then the result is positive zero; if the current value is negative zero, then the result is negative zero

A result must be within 1 ulp of the correctly rounded result. Results must be semi-monotonic.

            $r = 0.274
            print $r.tan
            -- the result is --
            0.2810693
            

Converts an angle measured in radians to the equivalent angle measured in degrees.

            $r = 0.274
            print $r.toDegrees
            -- the result is --
            15.699043
            

Converts an angle measured in degrees to the equivalent angle measured in radians.

            $r = 0.274
            print $r.toRadians
            -- the result is --
            0.004782202