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WavPack is a free and open-source lossless audio compression format and application implementing the format. It is unique in the way that it supports hybrid audio compression alongside normal compression which is similar to how FLAC works. It also supports compressing a wide variety of lossless formats, including various variants of PCM and also DSD as used in SACDs , together with its support for surround audio.

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111-622: WavPack compression can compress (and losslessly restore) 8, 16, 24, and 32-bit fixed-point , and 32-bit floating-point PCM audio files in the . WAV file format. It can also handle DSD input in DSDIFF or DSF format. It also supports surround sound streams and high sampling rates . Like other lossless compression schemes, the data reduction rate varies with the source, but it is generally between 30% and 70% for typical popular music and somewhat better than that for classical music and other sources with greater dynamic range. WavPack also incorporates

222-549: A declaratory judgment action in the United States District Court for the Northern District of California on January 20, 2006, seeking a judicial determination that Internet Archive did not violate Shell's copyright . Shell responded and brought a countersuit against Internet Archive for archiving her site, which she alleges is in violation of her terms of service . On February 13, 2007,

333-562: A pornographic actor named Daniel Davydiuk tried to remove archived images of himself from the Wayback Machine's archive, first by sending multiple DMCA requests to the archive, and then by appealing to the Federal Court of Canada . The images were removed from the website in 2017. In 2018, archives of stalkerware application FlexiSpy's website were removed from the Wayback Machine. The company claimed to have contacted

444-542: A "hybrid" mode, which still provides the features of lossless compression, but creates two files: a relatively small, high-quality, lossy file (.wv) that can be used by itself; and a "correction" file (.wvc) that, when combined with the lossy file, provides full lossless restoration. This allows the use of lossy and lossless codecs together. The lossy algorithm is similar to ADPCM . Hybrid mode can handle floating-point data, but only when "exception" values like infinities or NaNs are not present. It cannot handle DSD because there

555-405: A /10 , such as 1/100 or 37/1000, can be exactly represented in fixed point with a power-of-ten scaling factor 1/10 with any n ≥ m . This decimal format can also represent any binary fraction a /2 , such as 1/8 (0.125) or 17/32 (0.53125). More generally, a rational number a / b , with a and b relatively prime and b positive, can be exactly represented in binary fixed point only if b

666-491: A 32-bit cyclic redundancy check . A feature added in late 3.x versions is the "hybrid" mode where the encoder generates a lossy file and a correction file such that both can be decompressed back to a PCM stream that has same quality as the original. In WavPack 4, a new file format structure is introduced. A "roadmap" is also published by the author with 4.40, containing possible hints on future development. WavPack 5 introduced support for compressing DSD. Some software supports

777-414: A calendar layout with circles whose width visualizes the number of crawls each day, but no marking of duplicates with asterisks or an advanced search page. A top toolbar was added to facilitate navigating between captures. A bar chart visualizes the frequency of captures per month over the years. Features like "Changes", "Summary", and a graphical site map were added subsequently. In March that year, it

888-549: A fixed-point representation can have error less than 1.2 × 10 , whereas the standard floating-point representation may have error up to 596 × 10 — because 9 of the bits are wasted with the sign and exponent of the dynamic scaling factor. Specifically, comparing 32-bit fixed-point to floating-point audio, a recording requiring less than 40 dB of headroom has a higher signal-to-noise ratio using 32-bit fixed. Programs using fixed-point computations are usually more portable than those using floating-point, since they do not depend on

999-407: A fractional amount of hours may be represented as an integer number of seconds; that is, as a fixed-point number with scale factor of 1/3600. Even with the most careful rounding, fixed-point values represented with a scaling factor S may have an error of up to ±0.5 in the stored integer, that is, ±0.5 S in the value. Therefore, smaller scaling factors generally produce more accurate results. On

1110-477: A given Web page was accessible to the public. These dates are used to determine if a Web page is available as prior art for instance in examining a patent application. There are technical limitations to archiving a website, and as a consequence, opposing parties in litigation can misuse the results provided by website archives. This problem can be exacerbated by the practice of submitting screenshots of web pages in complaints, answers, or expert witness reports when

1221-540: A judge for the United States District Court for the District of Colorado dismissed all counterclaims except breach of contract . The Internet Archive did not move to dismiss the copyright infringement claims that Shell asserted arose out of its copying activities, which would also go forward. On April 25, 2007, Internet Archive and Suzanne Shell jointly announced the settlement of their lawsuit. The Internet Archive said it "...has no interest in including materials in

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1332-499: A multiply instruction that includes renormalization—the scaling conversion of the product from 2 n −2 to n −1 fraction bits. If the CPU does not provide that feature, the programmer must save the product in a large enough register or temporary variable, and code the renormalization explicitly. Overflow happens when the result of an arithmetic operation is too large to be stored in the designated destination area. In addition and subtraction,

1443-420: A new data centre in a Sun Modular Datacenter on Sun Microsystems ' California campus. As of 2009 , the Wayback Machine contained approximately three petabytes of data and was growing at a rate of 100 terabytes each month. A new, improved version of the Wayback Machine, with an updated interface and a fresher index of archived content, was made available for public testing in 2011, where captures appear in

1554-494: A predetermined number of hyperlinks based on a preset depth limit, so it cannot archive every hyperlink on every page. In a 2009 case, Netbula, LLC v. Chordiant Software Inc. , defendant Chordiant filed a motion to compel Netbula to disable the robots.txt file on its website that was causing the Wayback Machine to retroactively remove access to previous versions of pages it had archived from Netbula's site, pages that Chordiant believed would support its case. Netbula objected to

1665-428: A signed integer in two's complement representation with an implicit scaling factor as above. The sign of the value will always be indicated by the first stored bit (1 = negative, 0 = non-negative), even if the number of fraction bits is greater than or equal to the total number of bits. For example, the 8-bit signed binary integer (11110101) 2 = −11, taken with -3, +5, and +12 implied fraction bits, would represent

1776-410: A simple adaptive factor is added to weigh the influence of the earlier sample on the prediction. In the example above the resulting prediction could then vary between 20 for no influence to 50 for full influence. This weight factor is constantly updated based on the audio data's changing spectral characteristics. The prediction generated is then subtracted from the actual sample to be encoded to generate

1887-568: A site blocked the Internet Archive, any previously archived pages from the domain were immediately rendered unavailable as well. In addition, the Internet Archive stated that "Sometimes, a website owner will contact us directly and ask us to stop crawling or archiving a site. We comply with these requests." In addition, the website says: "The Internet Archive is not interested in preserving or offering access to Web sites or other internet documents of persons who do not want their materials in

1998-515: A site might be included in more than one crawl list, so how often a site is crawled varies widely. A "Save Page Now" archiving feature was made available in October 2013, accessible on the lower right of the Wayback Machine's main page. Once a target URL is entered and saved, the web page will become part of the Wayback Machine. Through the Internet address web.archive.org, users can upload to

2109-479: A user commented, "There needs to be a Scientists' March on Washington". The site is used heavily for verification, providing access to references and content creation by Misplaced Pages editors . When new URLs are added to Misplaced Pages, the Internet Archive has been archiving them. In September 2020, a partnership was announced with Cloudflare to automatically archive websites served via its "Always Online" service, which will also allow it to direct users to its copy of

2220-407: A variable or formula may not appear explicitly in the program. Good programming practice then requires that it be provided in the documentation , at least as a comment in the source code . For greater efficiency, scaling factors are often chosen to be powers (positive or negative) of the base b used to represent the integers internally. However, often the best scaling factor is dictated by

2331-419: A website's URL into the search box, provided that the website allows the Wayback Machine to " crawl " it and save the data. On October 30, 2020, the Wayback Machine began fact-checking content. As of January 2022, domains of ad servers are disabled from capturing. In May 2021, for Internet Archive's 25th anniversary, the Wayback Machine introduced the "Wayforward Machine" which allows users to "travel to

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2442-423: Is 22×32/100 = 7.04. If the result is not exact, the error introduced by the rounding can be reduced or even eliminated by converting the dividend to a smaller scaling factor. For example, if r = 1.23 is represented as 123 with scaling 1/100, and s = 6.25 is represented as 6250 with scaling 1/1000, then simple division of the integers yields 123÷6250 = 0 (rounded) with scaling factor (1/100)/(1/1000) = 10. If r

2553-488: Is a fixed-point environment having each array (block) of fixed-point data be scaled with a common exponent in a single word. A common use of decimal fixed-point is for storing monetary values, for which the complicated rounding rules of floating-point numbers are often a liability. For example, the open-source money management application GnuCash , written in C, switched from floating-point to fixed-point as of version 1.6, for this reason. Binary fixed-point (binary scaling)

2664-485: Is a method of representing fractional (non-integer) numbers by storing a fixed number of digits of their fractional part. Dollar amounts, for example, are often stored with exactly two fractional digits, representing the cents (1/100 of dollar). More generally, the term may refer to representing fractional values as integer multiples of some fixed small unit, e.g. a fractional amount of hours as an integer multiple of ten-minute intervals. Fixed-point number representation

2775-421: Is a power of 2; and in decimal fixed point only if b has no prime factors other than 2 and/or 5. Fixed-point computations can be faster and/or use less hardware than floating-point ones. If the range of the values to be represented is known in advance and is sufficiently limited, fixed point can make better use of the available bits. For example, if 32 bits are available to represent a number between 0 and 1,

2886-818: Is available with a native port. FFmpeg has a native WavPack encoder, which may be combined with software like GNU parallel to use multiple CPU cores to quickly transcode other lossless formats into WavPack, and from WavPack to any format that FFmpeg supports, without the need for additional software. However, FFMpeg's encoder is somewhat limited. As of 2023, FFmpeg's WavPack encoder has some considerable limitations. It can only produce version 4 bitstreams, which do not support fast verification for file integrity checks, or more than 16 channels. It will also discard RIFF chunks and may not behave predictably with 24-bit input. It also defaults to less than optimal compression to achieve faster encoding. Due to lack of support for Hybrid mode, FFmpeg-based playback software will fail to consider

2997-672: Is based in part upon Recommendations for Managing Removal Requests and Preserving Archival Integrity , known as The Oakland Archive Policy , published by the School of Information Management and Systems at University of California, Berkeley in 2002, which gives a website owner the right to block access to the site's archives. Wayback has complied with this policy to help avoid expensive litigation. The Wayback retroactive exclusion policy began to relax in 2017, when it stopped honoring robots on U.S. government and military web sites for both crawling and displaying web pages. As of April 2017, Wayback

3108-716: Is complicated enough that there could be subtle differences between "correct" implementations that could cause trouble for this type of application. A 32-bit error detection code to the generated streams is included to maintain user confidence in the integrity of WavPack's compression. WavPack source code is portable and has been compiled on several Unix and Unix-like operating systems ( Linux , Mac OS X , Solaris , FreeBSD , OpenBSD , NetBSD , Compaq Tru64 , HP-UX ...) as well as Windows , DOS , Palm OS , and OpenVMS . It works on many architectures, including x86 , ARM , PowerPC , AMD64 , IA-64 , SPARC , Alpha , PA-RISC , MIPS and Motorola 68k . A cut-down version of WavPack

3219-437: Is first converted to 1,230,000 with scaling factor 1/1000000, the result will be 1,230,000÷6250 = 197 (rounded) with scale factor 1/1000 (0.197). The exact value 1.23/6.25 is 0.1968. In fixed-point computing it is often necessary to convert a value to a different scaling factor. This operation is necessary, for example: To convert a number from a fixed point type with scaling factor R to another type with scaling factor S ,

3330-414: Is for complex querying, filtering, and analysis of captured data. Historically, the Wayback Machine has respected the robots exclusion standard (robots.txt) in determining if a website would be crawled – or if already crawled, if its archives would be publicly viewable. Website owners had the option to opt out of Wayback Machine through the use of robots.txt. It applied robots.txt rules retroactively; if

3441-628: Is generally easier and safer to select scaling factors and word sizes so as to exclude the possibility of overflow, or to check the operands for excessive values before executing the operation. Wayback Machine The Wayback Machine is a digital archive of the World Wide Web founded by the Internet Archive , an American nonprofit organization based in San Francisco , California . Created in 1996 and launched to

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3552-466: Is ignoring robots.txt more broadly, not just for U.S. government websites. From its public launch in 2001, the Wayback Machine has been studied by scholars both for the ways it stores and collects data as well as for the actual pages contained in its archive. As of 2013, scholars had written about 350 articles on the Wayback Machine, mostly from the information technology , library science , and social science fields. Social science scholars have used

3663-426: Is less efficient, but only by about 0.15 bits per sample (or less than 1% for 16-bit data). However, there are some advantages in exchange. The first one is that WavPack's encoder does not require the data to be buffered ahead of encoding; instead it converts each sample directly to bitcodes. This is more computationally efficient and is better in some applications where coding delay is critical. The second advantage

3774-406: Is more natural for the problem. Examples of the latter are accounting of dollar amounts, when fractions of cents must be rounded to whole cents in strictly prescribed ways; and the evaluation of functions by table lookup , or any application where rational numbers need to be represented without rounding errors (which fixed-point does but floating-point cannot). Fixed-point representation is still

3885-422: Is no lossy algorithm for DSD. A similar "hybrid" feature is also offered by OptimFROG DualStream , MPEG-4 SLS and DTS-HD Master Audio . David Bryant started development on WavPack in mid-1998 with the release of version 1.0 (1998-08-15). This first version compressed and decompressed audio losslessly, and it already featured one of the best efficiency vs. speed ratios among lossless encoders. Very soon after

3996-608: Is no separation, and the distinction between the two groups of digits is defined only by the programs that handle such numbers. Fixed-point representation was the norm in mechanical calculators . Since most modern processors have fast floating-point unit (FPU), fixed-point representations in processor-based implementations are now used only in special situations, such as in low-cost embedded microprocessors and microcontrollers ; in applications that demand high speed or low power consumption or small chip area, like image , video , and digital signal processing ; or when their use

4107-437: Is often contrasted to the more complicated and computationally demanding floating-point representation . In the fixed-point representation, the fraction is often expressed in the same number base as the integer part, but using negative powers of the base b . The most common variants are decimal (base 10) and binary (base 2). The latter is commonly known also as binary scaling . Thus, if n fraction digits are stored,

4218-408: Is possible by adding a 'rounding addend' of half of the scaling factor before shifting; The proof: round(x/y) = floor(x/y + 0.5) = floor((x + y/2)/y) = shift-of-n(x + 2^(n-1)) A similar method is usable in any scaling. To divide two fixed-point numbers, one takes the integer quotient of their underlying integers, and assumes that the scaling factor is the quotient of their scaling factors. In general,

4329-403: Is that it is easily adaptable to lossy encoding, since all significant bits (except the implied "one" MSB ) are transmitted directly. In this way it is possible to only transmit, for example, the 3 most significant bits (with sign) of each sample. In fact, it is possible to transmit only the sign and implied MSB for each sample with an average of only 3.65 bits per sample. This coding scheme

4440-552: Is used in WavPack's data path because, according to the author, integer operations are less susceptible to subtle chip-to-chip variations that could corrupt the lossless nature of the compression (the Pentium floating-point bug being an example). It is possible that a lossless compressor that used floating-point math could generate different output when running on that faulty Pentium. Even disregarding actual bugs, floating-point math

4551-480: Is used to implement the "lossy" mode of WavPack. In the "fast" mode the output of the non-adaptive decorrelator is simply rounded to the nearest codable value for the specified number of bits. In the default mode the adaptive decorrelator is used (which reduces the average noise about 1  dB ), and both the current and the next sample are considered in choosing the better of the two available codes (which reduces noise another 1 dB). No floating-point arithmetic

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4662-546: The discrete cosine transform algorithms used to compress JPEG images. Electronic instruments such as electricity meters and digital clocks often use polynomials to compensate for introduced errors, e.g. from temperature or power supply voltage. The coefficients are produced by polynomial regression . Binary fixed-point polynomials can utilize more bits of precision than floating-point, and do so in fast code using inexpensive CPUs. Accuracy, crucial for instruments, compares well to equivalent-bit floating-point calculations, if

4773-556: The "clunky" database . When the archive reached its fifth anniversary in 2001, it was unveiled and opened to the public in a ceremony at the University of California, Berkeley . By the time the Wayback Machine launched, it already contained over 10 billion archived pages. The data is stored on the Internet Archive's large cluster of Linux nodes. It revisits and archives new versions of websites on occasion (see technical details below). Sites can also be captured manually by entering

4884-428: The .wvc correction file if there is one present, and will play or transcode only the lossy section. (However, this is not the usual mode of operation for WavPack.) As native Wavpack support for Direct Stream Digital was added in version 5 of the reference encoder, FFmpeg WavPack also is limited to encoding PCM input. Native support: Non-native support: The WavPack website also includes a plugin that allows support for

4995-554: The Archive would have to delete pages from its system upon request of the creator. The exclusion policies for the Wayback Machine may be found in the FAQ section of the site. Some cases have been brought against the Internet Archive specifically for its Wayback Machine archiving efforts. In late 2002, the Internet Archive removed various sites that were critical of Scientology from the Wayback Machine. An error message stated that this

5106-864: The Archive. For example, crawls are contributed by the Sloan Foundation and Alexa , crawls run by Internet Archive on behalf of NARA and the Internet Memory Foundation , mirrors of Common Crawl . The "Worldwide Web Crawls" have been running since 2010 and capture the global Web. In September 2020, the Internet Archive announced a partnership with Cloudflare – an American content delivery network service provider – to automatically index websites served via its "Always Online" services. Documents and resources are stored with time stamp URLs such as 20241124103401 . Pages' individual resources such as images and style sheets and scripts, as well as outgoing hyperlinks , are linked to with

5217-557: The Internet in 2046, where knowledge is under siege ". The Wayback Machine's software has been developed to " crawl " the Web and download all publicly accessible information and data files on webpages, the Gopher hierarchy, the Netnews (Usenet) bulletin board system, and downloadable software. The information collected by these "crawlers" does not include all the information available on

5328-504: The Internet, since much of the data is restricted by the publisher or stored in databases that are not accessible. To overcome inconsistencies in partially cached websites, Archive-It.org was developed in 2005 by the Internet Archive as a means of allowing institutions and content creators to voluntarily harvest and preserve collections of digital content, and create digital archives. Crawls are contributed from various sources, some imported from third parties and others generated internally by

5439-407: The Northern District of California, San Jose Division, rejected Netbula's arguments and ordered them to disable the robots.txt blockage temporarily in order to allow Chordiant to retrieve the archived pages that they sought. In an October 2004 case, Telewizja Polska USA, Inc. v. Echostar Satellite , No. 02 C 3293, 65 Fed. R. Evid. Serv. 673 (N.D. Ill. October 15, 2004), a litigant attempted to use

5550-422: The Wayback Machine a large variety of contents, including PDF and data compression file formats. The Wayback Machine creates a permanent local URL of the upload content, that is accessible in the web, even if not listed while searching in the https://archive.org official website. Starting in October 2019, users were limited to 15 archival requests and retrievals per minute. As technology has developed over

5661-469: The Wayback Machine archives as a source of admissible evidence, perhaps for the first time. Telewizja Polska is the provider of TVP Polonia and EchoStar operates the Dish Network . Prior to the trial proceedings, EchoStar indicated that it intended to offer Wayback Machine snapshots as proof of the past content of Telewizja Polska's website. Telewizja Polska brought a motion in limine to suppress

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5772-423: The Wayback Machine contained over 25 petabytes of data. As of December 2020, the Wayback Machine contained over 70 petabytes of data. The Wayback Machine service offers three public APIs, SavePageNow, Availability, and CDX. SavePageNow can be used to archive web pages. Availability API for checking the archive availability status for a web page, checking whether an archive for the web page exists or not. CDX API

5883-437: The Wayback Machine has archived more than 916 billion web pages and well over 100 petabytes of data. The Internet Archive began archiving cached web pages in 1996. One of the earliest known pages was archived on May 10, 1996, at 2:08   p.m. ( UTC ). Internet Archive founders Brewster Kahle and Bruce Gilliat launched the Wayback Machine in San Francisco , California , in October 2001, primarily to address

5994-618: The Wayback Machine has been unable to display YouTube comments when saving videos' watch pages, as, according to the Archive Team, comments are no longer "loaded within the page itself." The Wayback Machine's web crawler has difficulty extracting anything not coded in HTML or one of its variants, which can often result in broken hyperlinks and missing images. Due to this, the web crawler cannot archive "orphan pages" that are not linked to by other pages. The Wayback Machine's crawler only follows

6105-433: The Wayback Machine of persons who do not wish to have their Web content archived. We recognize that Ms. Shell has a valid and enforceable copyright in her Web site and we regret that the inclusion of her Web site in the Wayback Machine resulted in this litigation." Shell said, "I respect the historical value of Internet Archive's goal. I never intended to interfere with that goal nor cause it any harm." Between 2013 and 2016,

6216-587: The Wayback Machine to analyze how the development of websites from the mid-1990s to the present has affected the company's growth. When the Wayback Machine archives a page, it usually includes most of the hyperlinks, keeping those links active when they just as easily could have been broken by the Internet's instability. Researchers in India studied the effectiveness of the Wayback Machine's ability to save hyperlinks in online scholarly publications and found that it saved slightly more than half of them. "Journalists use

6327-456: The Wayback Machine to view dead websites, dated news reports, and changes to website contents. Its content has been used to hold politicians accountable and expose battlefield lies." In 2014, an archived social media page of Igor Girkin , a separatist rebel leader in Ukraine, showed him boasting about his troops having shot down a suspected Ukrainian military airplane before it became known that

6438-458: The Wayback Machine's storage capacity by 700 terabytes. In January 2013, the company announced a milestone of 240 billion URLs. In October 2013, the company introduced the "Save a Page" feature, which allows any Internet user to archive the contents of a URL, and quickly generates a permanent link unlike the preceding liveweb feature. In December 2014, the Wayback Machine contained 435 billion web pages—almost nine petabytes of data, and

6549-449: The accuracy δ = S /2 of values that could be represented in 16-bit signed binary fixed point format, depending on the number f of implied fraction bits. Fixed-point formats with scaling factors of the form 2 -1 (namely 1, 3, 7, 15, 31, etc.) have been said to be appropriate for image processing and other digital signal processing tasks. They are supposed to provide more consistent conversions between fixed- and floating-point values than

6660-450: The animated cartoon The Adventures of Rocky and Bullwinkle and Friends from the 1960s. In a segment of the cartoon entitled "Peabody's Improbable History", the characters Mister Peabody and Sherman use the " Wayback Machine " to travel back in time to witness and participate in famous historical events. From 1996 to 2001, the information was kept on digital tape, with Kahle occasionally allowing researchers and scientists to tap into

6771-488: The application. Thus one often uses scaling factors that are powers of 10 (e.g. 1/100 for dollar values), for human convenience, even when the integers are represented internally in binary. Decimal scaling factors also mesh well with the metric (SI) system , since the choice of the fixed-point scaling factor is often equivalent to the choice of a unit of measure (like centimeters or microns instead of meters ). However, other scaling factors may be used occasionally, e.g.

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6882-640: The availability of an FPU. This advantage was particularly strong before the IEEE Floating Point Standard was widely adopted, when floating-point computations with the same data would yield different results depending on the manufacturer, and often on the computer model. Many embedded processors lack an FPU, because integer arithmetic units require substantially fewer logic gates and consume much smaller chip area than an FPU; and software emulation of floating-point on low-speed devices would be too slow for most applications. CPU chips for

6993-427: The base b ; whereas their absolute resolution varies by many orders of magnitude, like the values themselves. In many cases, the rounding and truncation errors of fixed-point computations are easier to analyze than those of the equivalent floating-point computations. Applying linearization techniques to truncation, such as dithering and/or noise shaping is more straight-forward within fixed-point arithmetic. On

7104-440: The collection." On April 17, 2017, reports surfaced of sites that had gone defunct and became parked domains that were using robots.txt to exclude themselves from search engines, resulting in them being inadvertently excluded from the Wayback Machine. Following this, the Internet Archive changed the policy to require an explicit exclusion request to remove sites from the Wayback Machine. Wayback's retroactive exclusion policy

7215-422: The default mode, the difference value is always sent to the coder along with one of the other three values (average, left, or right). An adaptive algorithm continuously determines the most efficient of the three to send based on the changing balance of the channels. Instead of Rice coding , a special data encoder for WavPack is used. Rice coding is the optimal bit coding for this type of data, and WavPack's encoder

7326-459: The earlier personal computers and game consoles , like the Intel 386 and 486SX , also lacked an FPU. The absolute resolution (difference between successive values) of any fixed-point format is constant over the whole range, namely the scaling factor S . In contrast, the relative resolution of a floating-point format is approximately constant over their whole range, varying within a factor of

7437-427: The error value. In mono mode this value is sent directly to the coder. However, stereo signals tend to have some correlation between the two channels that can be further exploited. Therefore, two error values are calculated that represent the difference and average of the left and right error values. In the "fast" mode of operation these two new values are simply sent to the coder instead of the left and right values. In

7548-477: The first division requires rounding and therefore the result is not exact. For example, division of 3456 scaled by 1/100 (34.56) and 1234 scaled by 1/1000 (1.234) yields the integer 3456÷1234 = 3 (rounded) with scale factor (1/100)/(1/1000) = 10, that is, 30. As another example, the division of the first number by 155 implicitly scaled by 1/32 (155/32 = 4.84375) yields the integer 3456÷155 = 22 (rounded) with implicit scaling factor (1/100)/(1/32) = 32/100 = 8/25, that

7659-407: The first number by 155 implicitly scaled by 1/32 (155/32 = 4.84375) yields the integer 123×155 = 19065 with implicit scaling factor (1/1000)×(1/32) = 1/32000, that is 19065/32000 = 0.59578125. In binary, it is common to use a scaling factor that is a power of two. After the multiplication, the scaling factor can be divided away by shifting right. Shifting is simple and fast in most computers. Rounding

7770-444: The fixed-point polynomials are evaluated using Horner's method (e.g. y = (( ax + b ) x + c ) x + d ) to reduce the number of times that rounding occurs, and the fixed-point multiplications utilize rounding addends. To add or subtract two values with the same implicit scaling factor, it is sufficient to add or subtract the underlying integers; the result will have their common implicit scaling factor, can thus can be stored in

7881-433: The format natively (like DeaDBeeF , foobar2000 , and Jack! The Knife ), while others require plugins. The official WavPack website offers plugins for Winamp , Nero Burning ROM , MediaChest 2.1, and several other applications, as well as a DirectShow filter. dBpoweramp CD-Ripper , by the author of foobar2000, as well as foobar2000 itself, and Asunder allow ripping Audio CDs directly into Wavpack files. Linux support

7992-552: The format on the Roku PhotoBridge HD Archived 2005-07-08 at the Wayback Machine . To ensure high-speed operation, WavPack uses a predictor that is implemented entirely in integer math. In its "fast" mode the prediction is simply the arithmetic extrapolation of the previous two samples. For example, if the previous two samples were −10 and 20, then the prediction would be 50. For the default mode

8103-593: The full WavPack software were included (ability to generate a correction "file" (stream), for example), and others were excluded. The port was based on version 4. WavPack support was added to WinZip starting with version 11.0 beta, released in October 2006. This extension to the ZIP file format was included by PKWARE , the maintainers of the format, in the official APPNOTE.TXT description file starting with version 6.3.2, released on 28 September 2007. Fixed-point arithmetic In computing , fixed-point

8214-525: The initial lawsuit was filed, the Archive should have removed all previous copies of the plaintiff website from the Wayback Machine, however, some material continued to be publicly visible on Wayback. The lawsuit was settled out of court after Wayback fixed the problem. Activist Suzanne Shell filed suit in December 2005, demanding Internet Archive pay her US$ 100,000 for archiving her website profane-justice.org between 1999 and 2004. Internet Archive filed

8325-406: The integer 3075 then must be multiplied by 1/100, that is, divided by 100, to yield either 31 (0.31) or 30 (0.30), depending on the rounding policy used. Similarly, the operation r ← r / s will require dividing the integers and explicitly multiplying the quotient by S . Rounding and/or overflow may occur here too. To convert a number from floating point to fixed point, one may multiply it by

8436-461: The integer, or appending zero digits. However, this operation must preserve the sign of the number. In two's complement representation, that means extending the sign bit as in arithmetic shift operations. If S does not divide R (in particular, if the new scaling factor S is greater than the original R ), the new integer may have to be rounded . In particular, if r and s are fixed-point variables with implicit scaling factors R and S ,

8547-464: The last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented as 1230 with an implicit scaling factor of 1000 (with "minus 3" implied decimal fraction digits, that is, with 3 implicit zero digits at right). This representation allows standard integer arithmetic logic units to perform rational number calculations. Negative values are usually represented in binary fixed-point format as

8658-430: The motion on the ground that defendants were asking to alter Netbula's website and that they should have subpoenaed Internet Archive for the pages directly. An employee of Internet Archive filed a sworn statement supporting Chordiant's motion, however, stating that it could not produce the web pages by any other means "without considerable burden, expense and disruption to its operations." Magistrate Judge Howard Lloyd in

8769-451: The norm for field-programmable gate array (FPGA) implementations, as floating-point support in an FPGA requires significantly more resources than fixed-point support. A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that

8880-403: The operation r ← r × s require multiplying the respective integers and explicitly dividing the result by S . The result may have to be rounded, and overflow may occur. For example, if the common scaling factor is 1/100, multiplying 1.23 by 0.25 entails multiplying 123 by 25 to yield 3075 with an intermediate scaling factor of 1/10000. In order to return to the original scaling factor 1/100,

8991-462: The other hand, a smaller scaling factor means a smaller range of the values that can be stored in a given program variable. The maximum fixed-point value that can be stored into a variable is the largest integer value that can be stored into it, multiplied by the scaling factor; and similarly for the minimum value. For example, the table below gives the implied scaling factor S , the minimum and maximum representable values V min and V max , and

9102-432: The other hand, the use of fixed point requires greater care by the programmer. Avoidance of overflow requires much tighter estimates for the ranges of variables and all intermediate values in the computation, and often also extra code to adjust their scaling factors. Fixed-point programming normally requires the use of integer types of different widths . Fixed-point applications can make use of block floating point , which

9213-543: The plaintiff were invalid, based on the content of their website from several years prior. The plaintiff, Healthcare Advocates, then amended their complaint to include the Internet Archive, accusing the organization of copyright infringement as well as violations of the DMCA and the Computer Fraud and Abuse Act . Healthcare Advocates claimed that, since they had installed a robots.txt file on their website, even if after

9324-523: The plane actually was a civilian Malaysian Airlines jet ( Malaysia Airlines Flight 17 ), after which he deleted the post and blamed Ukraine's military for downing the plane. In 2017, the March for Science originated from a discussion on Reddit that indicated someone had visited Archive.org and discovered that all references to climate change had been deleted from the White House website. In response,

9435-435: The problem of web content vanishing whenever it gets changed or when a website is shut down. The service enables users to see archived versions of web pages across time, which the archive calls a "three-dimensional index". Kahle and Gilliat created the machine hoping to archive the entire Internet and provide "universal access to all knowledge". The name "Wayback Machine" is a reference to a fictional time-traveling device in

9546-410: The public in 2001, it allows users to go "back in time" to see how websites looked in the past. Its founders, Brewster Kahle and Bruce Gilliat , developed the Wayback Machine to provide "universal access to all knowledge" by preserving archived copies of defunct web pages. Launched on May 10, 1996, the Wayback Machine had saved more than 38.2 billion web pages by the end of 2009. As of November 2024,

9657-441: The release of version 1.0, v. 2.0 (2 September 1998) was released, featuring lossy encoding (using only quantization of prediction residue for data reduction – no psychoacoustic masking model was applied to the stream). In 1999, version 3.0 (12 September 1999) was released, with a new "fast mode" (albeit with reduced compression ratio), compression of raw (headerless) PCM audio files, and error detection using

9768-401: The result may require one bit more than the operands. In multiplication of two unsigned integers with m and n bits, the result may have m + n bits. In case of overflow, the high-order bits are usually lost, as the un-scaled integer gets reduced modulo 2 where n is the size of the storage area. The sign bit, in particular, is lost, which may radically change the sign and the magnitude of

9879-411: The same program variables as the operands. These operations yield the exact mathematical result, as long as no overflow occurs—that is, as long as the resulting integer can be stored in the receiving program variable . If the operands have different scaling factors, then they must be converted to a common scaling factor before the operation. To multiply two fixed-point numbers, it suffices to multiply

9990-409: The scaling factor S , then round the result to the nearest integer. Care must be taken to ensure that the result fits in the destination variable or register. Depending on the scaling factor and storage size, and on the range input numbers, the conversion may not entail any rounding. To convert a fixed-point number to floating-point, one may convert the integer to floating-point and then divide it by

10101-657: The scaling factor S . This conversion may entail rounding if the integer's absolute value is greater than 2 (for binary single-precision IEEE floating point) or of 2 (for double-precision). Overflow or underflow may occur if | S | is very large or very small, respectively. Typical processors do not have specific support for fixed-point arithmetic. However, most computers with binary arithmetic have fast bit shift instructions that can multiply or divide an integer by any power of 2; in particular, an arithmetic shift instruction. These instructions can be used to quickly change scaling factors that are powers of 2, while preserving

10212-747: The sign of the number. Early computers like the IBM 1620 and the Burroughs B3500 used a binary-coded decimal (BCD) representation for integers, namely base 10 where each decimal digit was independently encoded with 4 bits. Some processors, such as microcontrollers, may still use it. In such machines, conversion of decimal scaling factors can be performed by bit shifts and/or by memory address manipulation. Some DSP architectures offer native support for specific fixed-point formats, for example, signed n -bit numbers with n −1 fraction bits (whose values may range between −1 and almost +1). The support may include

10323-410: The site if it cannot reach the original host. In 2014, there was a six-month lag time between when a website was crawled and when it became available for viewing in the Wayback Machine. As of 2024, the lag time is 3 to 10 hours. The Wayback Machine offers only limited search facilities. Its "Site Search" feature allows users to find a site based on words describing the site, rather than words found on

10434-411: The snapshots on the grounds of hearsay and unauthenticated source, but Magistrate Judge Arlander Keys rejected Telewizja Polska's assertion of hearsay and denied TVP's motion in limine to exclude the evidence at trial. At the trial, however, District Court Judge Ronald Guzman, the trial judge, overruled Magistrate Keys' findings, and held that neither the affidavit of the Internet Archive employee nor

10545-545: The time stamp of the currently viewed page, so they are redirected automatically to their individual captures that are the closest in time. The frequency of snapshot captures varies per website. Websites in the "Worldwide Web Crawls" are included in a "crawl list", with the site archived once per crawl. A crawl can take months or even years to complete, depending on size. For example, "Wide Crawl Number 13" started on January 9, 2015, and completed on July 11, 2016. However, there may be multiple crawls ongoing at any one time, and

10656-450: The two underlying integers, and assume that the scaling factor of the result is the product of their scaling factors. The result will be exact, with no rounding, provided that it does not overflow the receiving variable. For example, multiplying the numbers 123 scaled by 1/1000 (0.123) and 25 scaled by 1/10 (2.5) yields the integer 123×25 = 3075 scaled by (1/1000)×(1/10) = 1/10000, that is 3075/10000 = 0.3075. As another example, multiplying

10767-448: The underlying integer must be multiplied by the ratio R / S . Thus, for example, to convert the value 1.23 = 123/100 from scaling factor R =1/100 to one with scaling factor S =1/1000, the integer 123 must be multiplied by (1/100)/(1/1000) = 10, yielding the representation 1230/1000. If the scaling factor is a power of the base used internally to represent the integer, changing the scaling factor requires only dropping low-order digits of

10878-415: The underlying links are not exposed and therefore, can contain errors. For example, archives such as the Wayback Machine do not fill out forms and therefore, do not include the contents of non- RESTful e-commerce databases in their archives. In Europe, the Wayback Machine could be interpreted as violating copyright laws. Only the content creator can decide where their content is published or duplicated so

10989-565: The underlying pages (i.e., the Telewizja Polska website) were admissible as evidence. Judge Guzman reasoned that the employee's affidavit contained both hearsay and inconclusive supporting statements, and the purported web page, printouts were not self-authenticating. The United States Patent and Trademark Office and the European Patent Office will accept date stamps from the Internet Archive as evidence of when

11100-410: The usual 2 scaling. The Julia programming language implements both versions. Any binary fraction a /2 , such as 1/16 or 17/32, can be exactly represented in fixed-point, with a power-of-two scaling factor 1/2 with any n ≥ m . However, most decimal fractions like 0.1 or 0.123 are infinite repeating fractions in base 2. and hence cannot be represented that way. Similarly, any decimal fraction

11211-541: The value will always be an integer multiple of b . Fixed-point representation can also be used to omit the low-order digits of integer values, e.g. when representing large dollar values as multiples of $ 1000. When decimal fixed-point numbers are displayed for human reading, the fraction digits are usually separated from those of the integer part by a radix character (usually '.' in English, but ',' or some other symbol in many other languages). Internally, however, there

11322-433: The value. Some processors can set a hardware overflow flag and/or generate an exception on the occurrence of an overflow. Some processors may instead provide saturation arithmetic : if the result of an addition or subtraction were to overflow, they store instead the value with the largest magnitude that can fit in the receiving area and has the correct sign. However, these features are not very useful in practice; it

11433-501: The values −11/2 = −88, −11/2 = −0. 343 75 , and −11/2 = −0. 002 685 546 875 , respectively. Alternatively, negative values can be represented by an integer in the sign-magnitude format, in which case the sign is never included in the number of implied fraction bits. This variant is more commonly used in decimal fixed-point arithmetic. Thus the signed 5-digit decimal integer (−00025) 10 , taken with -3, +5, and +12 implied decimal fraction digits, would represent

11544-449: The values −25/10 = −25000, −25/10 = −0.00025, and −25/10 = −0. 000 000 000 025 , respectively. A program will usually assume that all fixed-point values that will be stored into a given variable, or will be produced by a given instruction , will have the same scaling factor. This parameter can usually be chosen by the programmer depending on the precision needed and range of values to be stored. The scaling factor of

11655-492: The web pages themselves. The Wayback Machine does not include every web page ever made due to the limitations of its web crawler. The Wayback Machine cannot completely archive web pages that contain interactive features such as Flash platforms and forms written in JavaScript and progressive web applications , because those functions require interaction with the host website. This means that, since approximately July 9, 2013,

11766-572: The years, the storage capacity of the Wayback Machine has grown. In 2003, after only two years of public access, the Wayback Machine was growing at a rate of 12 terabytes per month. The data is stored on PetaBox rack systems custom designed by Internet Archive staff. The first 100TB rack became fully operational in June 2004, although it soon became clear that they would need much more storage than that. The Internet Archive migrated its customized storage architecture to Sun Open Storage in 2009, and hosts

11877-684: Was developed for the Texas Instruments TMS320 series Digital Signal Processor. This was aimed predominantly at encouraging manufacturers to incorporate WavPack compression (and de-compression) into portable memory audio recorders. This version supported features that were applicable only to embedded applications (stream compression in real-time, selectable compression rate) and dropped off features that only applied to full computer systems (self extraction, high compression modes, 32-bit floats). The TMS320 series DSPs are native integer devices, and support WavPack well. Some "special" features of

11988-470: Was growing at about 20 terabytes a week. In July 2016, the Wayback Machine reportedly contained around 15 petabytes of data. In October 2016, it was announced that the way web pages are counted would be changed, resulting in the decrease of the archived pages counts shown. Embedded objects such as pictures, videos, style sheets, JavaScripts are no longer counted as a "web page", whereas HTML, PDF, and plain text documents remain counted. In September 2018,

12099-451: Was in response to a "request by the site owner". Later, it was clarified that lawyers from the Church of Scientology had demanded the removal and that the site owners did not want their material removed. In 2003, Harding Earley Follmer & Frailey defended a client from a trademark dispute using the Archive's Wayback Machine. The attorneys were able to demonstrate that the claims made by

12210-516: Was said on the Wayback Machine forum that "the Beta of the new Wayback Machine has a more complete and up-to-date index of all crawled materials into 2010, and will continue to be updated regularly. The index driving the classic Wayback Machine only has a little bit of material past 2008, and no further index updates are planned, as it will be phased out this year." Also in 2011, the Internet Archive installed their sixth pair of PetaBox racks which increased

12321-468: Was widely used from the late 1960s to the 1980s for real-time computing that was mathematically intensive, such as flight simulation and in nuclear power plant control algorithms. It is still used in many DSP applications and custom-made microprocessors. Computations involving angles would use binary angular measurement . Binary fixed point is used in the STM32G4 series CORDIC co-processors and in

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