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T Moon Complex X06 Zip Dl

  • tyesha-schuler395u
  • Aug 14, 2023
  • 8 min read


A subtle but important design goal of Frink is to "do the right thing" with numbers. Numeric values are automatically promoted to and from integers, rational numbers, floating-point numbers, complex numbers and more, all without overflow or undefined behavior or rounding error. Frink tries to get the right answer, not the wrong answer as fast as possible.


Math is very straightforward: the current parser accepts the normal mathematical operators, with normal operator precedence. (Exponentiation first (see notes below,) then multiplication and division, then addition and subtraction. And more tightly parenthesized expressions are performed before anything else.) All expressions can be arbitrarily complex. Parentheses can be used to group expressions.




T Moon Complex X06 Zip Dl



Note: To pick items from a discrete probability distribution, see the DiscreteDistribution.frink sample program. randomFloat[lower, upper]Pick a uniformly-distributed random floating-point value in the specifed range. randomGaussian[mean, sd]Pick a normally-distributed (i.e. "bell curve") random floating-point value with the specified mean and standard deviation. randomBits[numBits]Generate a random positive integer containing numBits evenly-distributed binary bits. randomBytes[numBytes]Generate an array of random bytes containing numBytes elements as a Java array of byte. randomSeed[seed]To obtain repeatable results with a program that generates random numbers, sometimes it is desirable to use the same random sequence. This function seeds the random number generator with a known value. The seed must a number from -263 to 263-1 (both inclusive.) bitLength[int]Returns the number of bits in the minimal two's-complement representation of an integer, excluding a sign bit. modPow[base,exponent, modulus]Perform the integer modular exponentiation (baseexponent mod modulus) in an efficient manner. modDiv[n,m,modulus]Performs the integer modular division n/m mod modulus and returns the integer result if one exists, otherwise returns undef. modInverse[n,modulus] Finds the integer modular inverse of n to the base modulus and returns the integer result if it is invertible, otherwise returns undef. In other words, modInverse[n,m] returns an integer x such that (x * n) mod m == 1. min[arg1, arg2]Returns the smaller of the two arguments, or the first argument if they're equal. min[array]Returns the smallest item in the array. max[arg1, arg2]Returns the larger of the two arguments, or the first argument if they're equal. max[array]Returns the largest item in the array. minmax[array]Returns the smallest and largest elements in an array as a two-item array [min, max]. clamp[num, min, max]Returns the specified number, but limiting its value to lie between the specified minimum and maximum. This also works correctly when num is an interval. intersection[arg1, arg2]Returns the intersection of two intervals, or an interval and a real number. (Or two real numbers, but that rarely makes sense.) The return type in this case will be an interval or an ordinary real number. If there is no intersection between the arguments, the function will currently return undef although this behavior may change to return an empty interval in the future. This function also works with dates and date intervals. union[arg1, arg2]Returns the union of two intervals, or an interval and a real number. (Or two real numbers, in which case an interval containing both real numbers is returned.) The return type will be an interval or an ordinary real number if the two numbers are the same real number. This function also works with dates and date intervals. isInteger[expr]Returns true if the argument is a dimensionless integer, false otherwise. isRational[expr]Returns true if the argument is a dimensionless rational number (and not an integer,) false otherwise. isReal[expr]Returns true if the argument is a real number (with or without dimensions, and not an interval,) false otherwise. isComplex[expr]Returns true if the argument is a complex number (with or without dimensions,) false otherwise. isInterval[expr]Returns true if the argument is an interval (with or without dimensions,) false otherwise. isNegative[expr]Returns true if the argument is a dimensionless negative number, false otherwise. isPositive[expr]Returns true if the argument is a dimensionless positive number, false otherwise. isUnit[expr]Returns true if the number is a unit of any type, including dimensionless numbers. isNegativeUnit[expr]Returns true if the argument is a unit of any type (including dimensionless numbers) with a negative sign, false otherwise. isArray[expr]Returns true if the expression is an array, false otherwise. isDict[expr]Returns true if the expression is a dictionary, false otherwise. isSet[expr]Returns true if the expression is a set, false otherwise. isDate[expr]Returns true if the expression is a date/time, false otherwise. isString[expr]Returns true if the expression is a string, false otherwise. isEnumerating[expr]Returns true if the expression is an enumerating expression, (which includes many types, including arrays, dicts, and sets.) isOperator[expr]Returns true if the expression is an operator like + or *, false otherwise. getOperatorPrecedence[expr]If the expression is an operator like + or *, this returns the precedence of the operator as an integer. Higher numbers indicate higher precedence. If the expression is not an operator, this returns undef. getOperatorSymbol[expr]If the expression is an operator like "+" or "*", this returns the symbol of the operator as an string. If the expression is not an operator, this returns undef. sum[x]Returns the sum of the elements of x, which can currently be an array or an enumerating expression. If x is of any other type, this simply returns x. If the list is empty, this returns undef. (There is no universal identity element for addition when units of measure may be present.) sum[x, emptyValue] Returns the sum of the elements of x, which can currently be an array or an enumerating expression. If x is of any other type, this simply returns x. If the list is empty, this returns emptyValue. product[x]Returns the product of the elements of x, which can currently be an array or an enumerating expression. If x is of any other type, this simply returns x. If the list is empty, returns 1. product[x, emptyValue] Returns the product of the elements of x, which can currently be an array or an enumerating expression. If x is of any other type, this simply returns x. If the list is empty, returns emptyValue. sleep[time]Sleeps for the specified amount of time. The argument time must have units of time, such as 1 s or 4.9 minutes or 1/30 s. binaryToGray[num]Converts the specified number into its corresponding value in binary reflected Gray code. Example usage: binaryToGray[0b1111] -> binary grayToBinary[num]Converts a number from its value in binary reflected Gray code to its equivalent numeric value. browse[url]Launches the specified URL in the browser (or however your computer is set up to launch URLs.) This requires that your Java Virtual Machine and your operating system are configured correctly. integerDigits[num]Returns an array of the digits of the non-negative integer num in base 10. integerDigits[num, base]Returns an array of the digits of the non-negative integer num in the specified base. getExponent[unit, baseUnit]Returns the exponent for the specified base unit. The base unit can be specified as a string indicating the name of a base unit (e.g. "m" for meters), a unit of measure, e.g. (m), or a string indicating the name of a base dimension (e.g. "length" or "mass" or "time". See the default base dimension names.) For example, to get the exponent corresponding to length (default unit is meters) all of the following are equivalent:


Regular expressions allow you to match complex patterns in strings. Frink matches most all of the regular expressions matched by Perl, and most regular expressions are portable between languages like Perl, Ruby, Python, Frink, etc. Frink internally uses the OROMatcher regular expression library, which attempts to match as much of Perl 5's syntax as possible.


Frink allows you to write your programs in object-oriented fashion, allowing complex data structures that are still easy to use. Inheritance is not implemented, (and many people may argue that it shouldn't be implemented) but works fine for programs that don't require inheritance.


A GeneralPath allows you to create complex shapes consisting of straight lines, quadratic and cubic Bézier curves, arcs, and ellipses. These paths can be filled or outlines, and can have multiple sub-paths that represent the "inside" and "outside" of an object. For example, rendering a filled letter P in which one can see through the "hole" in the P can be obtained with a GeneralPath, and is not possible with a polygon.


A graphics object can be built up from multiple graphics objects that are added to it. These graphics can be added at their original size, or placed at a certain location and size. This makes it easy to create complex graphics from many different graphics objects that were rendered at their "natural" sizes and then automatically resized to fit where you want them, no matter what coordinates they were originally drawn to!


For Android: Currently, the Android Bitmap.Config class does not support monochrome images, so this does nothing on Android. write[filename] - Write the image to the specified filename. The format of the file is guessed from the filename's extension. The file formats supported by your version of Java may vary, but the following should be supported: JPEG: Does not support transparency. Requires Java 1.4 or later. PNG: (Portable Network Graphics) Supports transparency and full anti-aliasing of transparent graphics. Requires Java 1.4 or later. toBase64[format]Returns a base-64 encoded string which represents the bitmap in the specified image format (e.g. "jpg", "png"). This may be included in an HTML document as a data URI, included in an email, etc. toComplexArray[]Turns the bits of the image into a 2-dimensional array of complex values, which can be transformed quickly with the Fourier transform functions. The behavior of this method will probably change. toComplexArrayFromLog[center=false]Assumes that this image contains magnitude and phase information (green encodes magnitude, red encodes phase) of a logarithmically-encoded Fourier transform of an image, and reconstructs a 2-dimensional ComplexArray2D with the values from the image. In other words, this is the inverse of ComplexArray2D.toLogImage[decenter=false]. The behavior of this method will probably change. See the sample program FourierImage.frink for a sample of FFT transforming an image, writing it as a log-encoded image, reading it back, and inverse-transforming back to the original image. The boolean center/decenter parameter (default is false) will center the DC (zero-frequency) term in the the center of the image to mimic the convention used by many digital image processing texts. In other words, if center is true, the DC term will be located at the x coordinate (width + 1) div 2 (for an image that is an even number of pixels wide, this is just width/2) and at the y coordinate (height + 1) div 2 (for an image that is an even number of pixels high, this is just height/2). If center is false, the DC component will be at (0, 0) The same flag should be passed to toComplexArrayFromLog and ComplexArray2D.toLogImage. show[]Displays the image (by default, in its own window.) show[title]Displays the image (by default, in its own window) with the specified title. print[]Prints the image to a printer. print[insets]Prints the image to a printer. insets is a floating-point value between 0 and 1, where 1 means to use 100% of the window with the graphic (no borders.) An insets value of 0.95 causes 5% of the window's width and/or height to be borders. These insets are in addition to any margins you set in the print dialog. printTiled[pagesWide, pagesHigh]Prints the image to a printer, tiled across several pages to make a very large image. printTiled[pagesWide, pagesHigh, insets]Prints the image to a printer, tiled across several pages to make a very large image. insets is a floating-point value between 0 and 1, where 1 means to use 100% of the window with the graphic (no borders.) An insets value of 0.95 causes 5% of the window's width and/or height to be borders. These insets are in addition to any margins you set in the print dialog. resize[width, height]Resizes an image to the new specified width and height and returns a new image. It does not modify the original image. If either width or height are the special value undef or 0, then one dimension is constrained and the other dimension is calculated to preserve the aspect ratio of the original image. This is generally not what you want to do when drawing an image into a graphics object. You usually only want to do this if you're going to write the image to a file at a different size, or work with individual rescaled pixels. To draw an image into a graphics object at any given size, use one of the methods in the Drawing images into graphics section below. This will preserve maximum resolution across devices. autocrop[]Automatically crops the sides of an image where the pixels are approximately equal. This returns a new image. If all of the pixels are identical, this returns a 1x1 image. Drawing images into graphics Images can be drawn onto a graphics object with the following methods on the graphics object: 2ff7e9595c


 
 
 

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