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NOTE This used to be a completely different question. This is BY FAR not the fastest - they were looking for FFT’s and Matrix math in pythonTrying to think of the correlation. So here is both.You get Add, Subtract and Divide only :) This is using Python and .# add(), subtract() and divide() # importing numpy for matrix operations import numpy # initializing matrices x = numpy.array([[1, 2], [4, 5]]) y = numpy.array([[7, 8], [9, 10]]) # using add() to add matrices print ("The element wise addition of matrix is : ") print (numpy.add(x,y)) # using subtract() to subtract matrices print ("The element wise subtraction of matrix is : ") print (numpy.subtract(x,y)) # using divide() to divide matrices print ("The element wise division of matrix is : ") print (numpy.divide(x,y)) And a FFT you can plot!%matplotlib inline import numpy as np import matplotlib.pyplot as plt import scipy.fftpack  # Number of samplepoints N = 600 # sample spacing T = 1.0 / 800.0 x = np.linspace(0.0, N*T, N) y = np.sin(50.0 * 2.0*np.pi*x) + 0.5*np.sin(80.0 * 2.0*np.pi*x) yf = scipy.fftpack.fft(y) xf = np.linspace(0.0, 1.0/(2.0*T), N/2)  fig, ax = plt.subplots() ax.plot(xf, 2.0/N * np.abs(yf[:N//2])) plt.show() 

Let’s use a bit of logic and a bit of math here.4,000 lines of code in 8 hours is 500 lines of code per hour.500 lines of code per hour is 8 1/3 lines of code per MINUTE.The fastest typist ever recorded was clocked at just over 212–216 WPM (words per minute) in a burst, but only 150 WPM for extended periods of typing. (And during her Guinness record-breaking trial she needed periodic breaks that weren’t computed.)But that was a world champion typist, and most professional typists are happy to see half of her 150 WPM, and accomplish 75 WPM for prolonged days of working. (A “very good” typist can bang out up to 120 WPM in bursts, but rarely does two-thirds of that over prolonged periods.)If we assume that a typical line of code is composed of just five “words,” then ONLY PROFESSIONAL TYPISTS could type that many lines of code without using automated tools AND heavy amounts of copy paste, or conversion from pre-written code in some other format, like pseudo-code, or converting Java to C++ (for example.)And bear in mind that a “line” of code might look like:SettingsManager::instance()->disableAutologout(oldAutologoutStatus);(which I just wrote). That’s four “words” plus punctuation, and yet three of the four “words” there are composed of SEVERAL English language words that a top-rated typist might type, so that I would say this one line of code was really TEN English words (plus punctuation - which is a very important part of the programming not included in this count):Settings Manager instance disable Auto logout old Auto logout Status Of course, when I typed it in an IDE, word completion filled it in, so that I only had to type maybe a quarter of the keystrokes for the entire line - but then I had to pause after each word completion, look what the IDE provided, and make sure that it was the correct word. Using automated tools will NOT by itself significantly speed up the typing rate, although it will greatly increase the quality and reduce misspellings.Anyway, “words” in the typing world doesn't mean English words, rather six letter groups, (hat tip - Joshua Dye,) so by the measure of your typical typing test, this one line is really TWELVE words (in the “WPM” meaning of “word”):Settin gsMana ger::i nstanc e()->d isable Autolo gout(o ldAuto logout Status ); A lexical analysis of the C++ code would instead count this as ten tokens, which is how the IDE would also treat it, and so does a programmer “think” about it, so this number of 10 per line is a useful metric:SettingsManager :: instance () -> disableAutologout ( oldAutologoutStatus ) ; So let’s consider that we are typing 10 things per line that are the equivalent of the typists words, and we are talking about a typing equivalent of 40,000 “words” in a day. Instead of 8 hours, we know that programmers often work long days, but need breaks between slaving over their hot keyboards, so call it 500 minutes of typing per day, over an extended, physically grueling typing marathon. We need to bang out an 80 WPM typing rate all day.We could also look at it by character / keystroke, and my sample line of code uses 69 characters (including the newline, but ignoring the auto-indented leading whitespace.) Using an average of 60 characters per line, our 4,000 lines of code has 240,000 characters to be typed over 500 “working” minutes (not counting time to rest your hands or eyes, drink coffee or Jolt, use the toilet, eat, or anything else - just time with fingers on the keyboard, “writing code”.) That way we need to bang out an average of 480 keystrokes every minute (CPM - characters per minute.)Let’s see What Is a Good Typing Speed Per Minute?A good typing speed compared to the general population would be over 40 WPM, but compared to professionals it would be in the 75 WPM range.andA professional or good typist hits around 325 to 335 CPM. However, anyone that can type over 200 CPM is considered an above-average typist when compared to the general population.The fastest typist in the world would be highly challenged to type 4,000 lines of code in one working day, at least not without significant errors that would need to be checked and corrected, reducing overall speed.So … let’s make the generous assumption that there’s lots of whitespace (i.e., blank lines) in the code, so that 4,000 “lines” of code means 2,000 lines of text with alternating blank lines.Let’s also assume that my sample “line” of code is rather dense, and that we are using only 8 English words per line of code, and instead of ignoring all of those critical punctuation symbols in our typing computations, let’s cut back to 50 characters per line.Our assumption is then that these “4,000 lines of code” is (2,000 * 8 = 16,000) “words” of English typing. And we want to type those 16,000 words in 8 hours, or in 480 minutes. In characters, we have (2,000 * 50 = 100,000) keystrokes. That translates into a full day of doing nothing but typing at a sustained rate of 33.3 words per minute (WPM), or 208 characters per minute (CPM), which is challenging, but just barely doable for a programmer with good typing skills. (EDIT: Yes, yes, many of you “type” faster … for 5 or 10 minutes on a typing test, but we’re talking about typing continuously for an hour, getting up from your seat to stretch your neck and back, and shake out your fingers, then sitting back down and continuing to play “machine gun” on the keyboard for another hour, and another hour, …the whole, long day. This is a daily constant average, which is lower than a short burst on a typing test.)So we see that the only way to approach this metric is by slacking on the definition of “code” for this metric, and ignoring anything but the actual typing speed.Or else this isn't about “writing” code, but modifying or editing or in some other way finishing the code, NOT writing it from scratch. (* See Update, below.)But look at it in another way.Yesterday, I committed a total of TWELVE (12) lines to our repository. Seven (7) of those lines were comments, and five (5) of those lines were code. Between them, those five lines of code knocked off three (3) bugs that were the causes of seven (7) different issues from our tracking system; and my testing took off four (4) more as duplicates. My eight hours of testing and coding (and I spent a LOT more time testing and finding the bugs than fixing them,) produced 5 lines of code, 7 lines of comments, fixed 3 bugs, and eliminated 11 issues from our tracking system. I also wrote maybe 30–50 lines into our issue tracker, which helped to close those 11 issues, and between emails and IMs to the team, wrote maybe an equivalent of that in other venues - less than 100 lines of “output” besides the 12 lines in the repository. I considered that a good day of work.On days when I’m “coding,” writing brand new code, I expect to produce between 100 and 200 lines of mixed code and comments (not counting whitespace, and I typically pump out around 55/45 to 60/40 comments vs. code - I’m “prolix” ;^) ) in a reasonable day, and 250–300 lines when I’m “in the groove” all day. And that will usually be with few defects, because I prefer to write my own unit tests at the same time, so the two halves together (“code” and “test”) form the metric (“lines of code”). Most of my managers consider me to be a top-tier coder.In a memorable week of productivity I once wrote an entire small system of around 3,000 lines of dense Turbo C with a smaller comment ratio (maybe 20–25% comments) and that was running and fully tested, in a 5 day period with only two sleep interruptions. Treating that as 8 days of “normal”, highly productive work days, I was putting out less than 400 lines of code per day, although you could say that it was “600 lines of code per day” when counting a “day” as a 24-hour period. (I don’t, that was a lifetime best sprint, not a sustainable work rate.) That was exceptionally high productivity for new development, and it wasn't a fraction of the rate claimed in the OP. Someone telling me he coded even 400 “lines of code“ per day (on a regular basis) would trip my bullstink-o-meter. 4,000 lines, instead of 400, is just an absurd rate for new development.Update (2018–01–16): A while back, in response to some of the extensive comments, I drilled further into the original source which triggered the Question I answered here. As the question just came up once again, I decided to answer it here.It seems that Newell was referring to porting gaming code from one platform to another. (I don’t remember now if it was code written for PlayStation being ported to XBox, or what, but that’s the general idea.) He’d been asked when the game would be available on the new platform, and he’d said that there was some number n lines of code in the game, and that his top programmers were “writing” 4K LoC per day for the new platform, (and ergo, the game should be available on the new platform by D-day.) So this was a metric of taking existing code and modifying it to work with slightly different libraries and different hardware constraints.The point is that they weren’t really “writing” code; it’s more like they were proofreading and redacting it. This would be like a proofreader saying that he “wrote” an entire book in a week, ignoring that the original author had spent half a year writing the original version of the words.

The Avars (Pannonian Avars) were an East Asian/Siberian nomadic group. They established the Avar Khaganate, which spanned the Pannonian Basin and considerable areas of Central and Eastern Europe from the late 6th to the early 9th century.History:Leading historians suggest that they are descedants of the Rouran Khaganate (柔然). It included mostly Turkic and Mongolic, but possibly also Tungusic tribes, as well as also some Sino-Tibetan groups (likely from the Tibeto-Burmese branch). The ruling Rouran elite either spoke an Oghur Turkic language or a “para-Mongolic” language close to the Rouran Khanate language.Genetic data of Rouran samples show that they were an East Asian confederation and its population was closely related to modern East Asian and Siberian populations. Modern Mongolians, Turkic (Kazakh) and Tungusic (Oroqen) peoples were found to be closest to Avar samples.One member clan, the Ashina clan of the Göktürks, revolted against the ruler clan of the Rouran and replaced them as the dominant clan and took their place. Additionally they allied themselves with the western Wei dynasty of China. Some scholars speak from an internal revolution without a civil war.After the collapse of the Rouran Khaganate and its transformation into the new Göktürk Khaganate, some of the tribes and clans did not accept the Ashina clan as their new rulers and have migrated west subsequently and became the Pannonian Avars.The Avars rapidly dominated the Pannonian Basin and expanded their influence. By about 580, the Avar Khagan Bayan I had established supremacy over most of the local Slavic, Bulgar (another Oghur Turkic tribe, not modern “Bulgars”) and Germanic tribes living in Pannonia and the Carpathian Basin. The Avars formed an elite ruler class and classificated the non-Avar population per loyality, prestige and ancestry. By 600 the Avars had established a nomadic empire ruling over a multitude of peoples and stretching from modern Austria in the west to the Pontic–Caspian steppe in the east. Anthropological studies of the skeletons during the Avar period show a high number of people with Mongoloid (East Asian) features.The Pannonian Basin was the centre of the Avar power-base. The Avars re-settled captives from the peripheries of their empire to more central regions. Scholars propose that a highly structured and hierarchical Avar society existed, having complex interactions with other "barbarian" groups. The khagan was the paramount figure, surrounded by a minority of nomadic aristocracy. (The Avar social system appears similar to the Chinese system “Huá—Yí distinction”.) Initially, the Avars and their subjects lived separately from their Slavic and Germanic subjects and did not mix with them.The gradual decline of Avar power accelerated to a rapid fall within a decade. A series of Frankish campaigns in the 790s, beginning in 791, ended with the conquest of the Avar realm after eight years.By 796, the Avar chieftains had surrendered and accepted Christianity. Pannonia was conquered. According to the Annales Regni Francorum, Avars began to submit to the Franks from 796 onwards. The Franks baptized many Avars and integrated them into the Frankish Empire. A growing amount of archaeological evidence in Transdanubia also suggests an Avar population in the Carpathian Basin in the very late 9th century. In 799, some Avars revolted.Archaeological findings suggest a substantial, late Avar presence on the Great Hungarian Plain, however it is difficult to determine their proper chronology. Byzantine records, including the "Notitia episcopatuumî", the "Additio patriarchicorum thronorumî" by Neilos Doxopatres, the "Chronica" by Petrus Alexandrinus and the "Notitia patriarchatuum" mention the 9th century Avars as an existing population. The Avars begun mixing with the more numerous surrounding populations, and they later came under the rule of external polities, such as the Franks.Origin and genetics:Cemeteries dated to the late Avar period (8th century) included many human remains with physical features typical of East Asian people or Eurasians (i.e., people with both East Asian and European ancestry).It is estimated that in the year 700, about 30% of the total population of the Avar Khaganate were purely Mongoloid (East Asian). Human remains in certain regions from Austria and Hungary were found to be predominantly East Asian during the Avar period.A genetic study published in Scientific Reports in November 2019 examined the remains of fourteen Avars. They were found to be suprisingly homogenous and closely related to modern populations in eastern Central Asia, Mongolia, eastern and northern Siberia, as well as East Asia. The Avars studied were all determined to have had dark eyes and dark hair. The majority of them were found to be primarily of East Asian origin.The Avars were found to be especially closely related to Mongolians and various Turkic and Tungusic peoples, such as Kazakhs, Yakuts and Oroqen. Interestingly, some modern Kazakh (Turkic) and Buryat persons were found to share a direct paternal ancestor with one of the Avar samples (specific haplogroup N-Tat) found in modern day Austria.Another genetic study published in Scientific Reports in January 2020 examined the remains of twenty-six individuals buried at various elite Avar cemeteries in the Pannonian Basin dated to the 7th century AD. The gentic data (full genome analysis) found mostly exclusive East Asian autosomal and nuclear DNA among the samples. The Avar males examined were found to be "strikingly homogeneous". The Avars were found to be particularly closely related to Mongolians, Oroqens, Evenks, Xibe, Yakuts, Kazakhs, Uzbeks, Uyghurs and Buryats, and various other populations of the eastern steppe. The evidence suggested that the Avars were a patriarchal people organized along biological lines who avoided intermarriage with non-Avar populations. They probably entered the Pannonian Basin through a mass migration from East Asia involving both men, women and children.Additionally the Avar samples belonged predominantly to lineages commonly found among modern East Asian and Siberian groups.These results make it clear that the Avars came from East Asia or eastern Siberia and were a rather large homogenous group.Further, a study published in 2019, found that 4% to 11% of the modern population in Austria, Hungary and Romania can trace their ancestry to “East Asian nomads” (parts of their ancestry) and are thus descendants of the Avars. This also shows us that the Avars did not got extinct, but were absorbed by the more populous Slavic and Germanic groups.Here the average “East-Eurasian” or simply East Asian (historically known as “Mongoloid race”) ancestry based on autosomal DNA and full genome analysis:East-Eurasian (or simply East Asian-related/Mongoloid) is one of the three human genetic groups/clusters. Rowold et al. 2020 found that East-Eurasians (represented in the study by East and Southeast Asians) “were most distant to both West-Eurasians and Sub-Saharan Africans and formed a completely separate genetic cluster.”Genetic research indicates that populations related to modern East Asians existed as distinct genetic group already during early human times (see Tianyuan man) and likely much earlier (per Yuan et al. 2019 and Chen 2020). Significant geneflow from East Asia and eastern Siberia into parts of Europe were carried out through multiple migrations of East-Eurasian hunter gatherers and nomads. A 2020 genetic study about Southeast Asian populations, such as the Javanese, by Liu et al. 2020, found that mostly all Southeast Asians are closely related to East Asians and have mostly "East Asian-related" ancestry. The isolated Andamanese (Onge) tribes were found to consist of two distinct components, one distinct indigenous “Oceanic component” at 55% and one East Asian-related component at 45% (Fig.8.C), disproving the long held hypothese of complete isolation of the Andamanese peoples.Language:The language of the Avars as well as of the Rouran Khaganate is unknown but leading historians and linguists suggest either a Turkic language or a “para-Mongolic” language. Recently in 2019 and 2020, more evidence for a Mongolic origin was found. The Avar language appears most close to Middle Mongolian and to Rouran period Mongolian.According to Szadeczky-Kardoss, many of the titles and ranks used by the Pannonian Avars were also used by the Turkic peoples and Mongolians and Koreans to some extent, including the terms khagan (or kagan), khan (han), kapkhan, tudun, tarkhan, and khatun.While there are some minor theories which suggest a Ugric (proto-Hungarian/Magyar) origin, most linguists and historians including Peter Benjamin Golden, suggest that the Avars are of Turkic origin, likely from the Oghur branch.The linguists Emil Heršak and Ana Silić suggests that the Avars were of heterogeneous origin (including all three Turkic, Mongolic and Tungusic tribes).Additionally, certain modern words in dialects of Austria, Bavaria and the Swiss appear to be loanwords from a “Altaic-like” language.As example, the etymological origin of the word for sabre is the Tungusic or Mongolic word seleme. The linguists and historians suggest that the Avars brought this word to Europe. (It was spreaded first with Oghur Turks and loand at into old-Hungarian and Slavic languages and than into other European languages.Evenk sälämä ‘iron; sword’) and, first of all, a transparent Tungusic etymology of this word: < sele ‘iron’ + -me, a denominalnominal suffix.Certain cities and towns in Bavaria and Austria have Avar/Turkic etymology:Examples are: Kirchkagern, Kagen, Kaging, and Tarchant.But there are many extinct languages and even whole branches which belong to the Mongolic family:Pre-Proto-Mongolic's position on the chronological tree of Mongolic language. The Wuhuan branch is completely extinct, the same happend to Tuoba, Khitan, Tuyuhun and the Rouran languages, which are all classifed as para-Mongolic → related to Mongolian but a distinct branch as shown in the language tree above.The Mongolic speaking Avars were probably pushed westwards by the rising Göktürks. At least parts of the former Rouran tribes became the Avars, with the remaining Rouran tribes staying under Göktürk rule.__Some basics about Turkic, Mongolic and Tungusic:Tungusic, Turkic and Mongolic originated somewhere in Northeast Asia or northern China/Mongolia. Although their relation is disputed (Altaic and the newer Transeurasian proposal), it is universally agreed that they (as well as Koreanic and possibly Japonic) stood in strong long term contacts during their proto-form somewhere in Northeast Asia (around the Liao river system).New evidence since 2017 concerning the Transeurasian proposal, most recently in 2019 and 2020, found evidence for a genealogical connection between these languages, or more likely, proof for long-term contact in modern Manchuria, including suggested contact with Koreanic and Japonic as well.Anyway regardless of a genealogical connection or not, the included languages here stood in strong contact during the Xinglongwa culture around the Liao river system in Manchuria.__All in all, the Avar language was closely linked to these East Asian and Siberian languages, and was most likely a Oghur Turkic language. Thus ultimately the Avar people were descended from an agricultural community based in Northeast China, which is to be associated with the Xinglongwa culture and the succeeding Hongshan culture.Additionally archeological samples from the Avar period show similarities to Central Asian nomadic and East Asian artifacts:Conclusion:The Avars were a Mongoloid (East Asian related) population which ruled over parts of Europe more than 300 years. They are closely related to modern Siberians and East Asians as well as modern Central Asians, such as Tungusic people and the Kazakhs.And here some graphic examples how the Avars most likely looked based on genetic and anthropologic data collected in Hungary and Austria during the 7th century:Thank you for reading. :)Interesting studies:Y-chromosome haplogroups from Hun, Avar and conquering Hungarian period nomadic people of the Carpathian BasinGenetic insights into the social organisation of the Avar period elite in the 7th century AD Carpathian Basin