Z3 Language
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Introduction
ZCubes Language (z^3) is an easy to write, natural to read, omni-functional language.
Why another programming language? Do we not have enough of them?
Well, let us try this real world experiment. Go to the best programmer you know. Pick the simplest formula you can think of: E=mc2. Ask how the Energy (E) can be calculated, for a mass (m) of 1kg, 2kg, 3kg,… 10kg and for a constant Speed of Light (3x10^8m/s). And let us just watch the programmer for what happens next. Yes, go ahead and start a stop watch!
Likely that the programmer would pull up a spreadsheet and type formulae notation such as shown below, to do this, within a minute or so.
| C | =3*10^8 |
| M | Energy |
| 1 | =D5*$E$3^2 |
| =D5+1 | =D6*$E$3^2 |
| =D6+1 | =D7*$E$3^2 |
| =D7+1 | =D8*$E$3^2 |
| =D8+1 | =D9*$E$3^2 |
| =D9+1 | =D10*$E$3^2 |
| =D10+1 | =D11*$E$3^2 |
| =D11+1 | =D12*$E$3^2 |
| =D12+1 | =D13*$E$3^2 |
| =D13+1 | =D14*$E$3^2 |
Or maybe, the programmer would make a program, in a computer language to do this, and will come back to you in about an hour!
Well, this shows the poor state of the current state of the art computer human interaction. Today, an ordinary computer can do billions of operations per second. And even with the best techniques, translating from our human language to computer language takes minutes or hours!
Now, what if,
if we could just say:
Energy:=m*(3*10^8)^2
Energy@1..10
And the results come out:
| m | Energy |
| 1 | 90000000000000000 |
| 2 | 180000000000000000 |
| 3 | 270000000000000000 |
| 4 | 360000000000000000 |
| 5 | 450000000000000000 |
| 6 | 540000000000000000 |
| 7 | 630000000000000000 |
| 8 | 720000000000000000 |
| 9 | 810000000000000000 |
| 10 | 900000000000000000 |
Or let us imagine you wanted to create an array of 9 rows and 9 columns and with 9 cells each in 3 dimensions, and z^3 would give this to you with the command:
|9x9x9|
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
| 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 | 0,0,0,0,0,0,0,0,0 |
What if you could fill it with random numbers and assign it to A using:
A=RANDOM(|9x9x9|)
| 0.3580037800129503,0.1676588780246675,0.10722010442987084,0.005490015260875225,-0.23294036276638508,0.22662439197301865,0.10870983102358878,0.2769974253606051,0.0029548886232078075 | 0.041699539637193084,0.3870012385305017,-0.20777509664185345,0.13767410209402442,0.22410893277265131,0.20608861511573195,-0.20018406677991152,0.22029893519356847,-0.45465979841537774 | 0.4591558708343655,0.1420595806557685,0.4083957162220031,-0.40819021547213197,-0.26061587990261614,-0.05257520033046603,0.059443910140544176,-0.28662235336378217,0.3105213795788586 | 0.09606859437189996,-0.07783477404154837,0.008421740494668484,0.48289549141190946,-0.0879819393157959,0.2104784024413675,-0.47389360843226314,0.2080693047028035,0.1310892179608345 | -0.06626262329518795,-0.28481870889663696,-0.10210831137374043,0.014624838950112462,0.0968810252379626,-0.21916344249621034,-0.2487639863975346,0.0477446133736521,-0.1991952422540635 | -0.11852870415896177,0.372537286253646,0.3528048819862306,0.48251894768327475,0.24654511455446482,0.17333862208761275,-0.03783989790827036,0.4090338933747262,-0.3751388774253428 | 0.09025530563667417,-0.12826937320642173,-0.22723823389969766,-0.15792581462301314,-0.14024262712337077,0.10564638371579349,-0.10213366360403597,-0.015929083339869976,0.42034117062576115 | 0.30916432943195105,-0.45239340234547853,-0.45923919253982604,-0.09670902695506811,-0.3303845610935241,-0.330097968922928,0.13559956988319755,0.1761150793172419,-0.41669209906831384 | -0.3514315695501864,0.31582214520312846,-0.44893262651748955,0.11447890498675406,0.344642068259418,0.030723398318514228,-0.037676028441637754,0.20306929992511868,-0.20149929192848504 |
| -0.2714427460450679,0.31895161350257695,0.4293144254479557,-0.2307776096276939,0.31045829388312995,0.15990927023813128,-0.2456150660291314,-0.13001376995816827,-0.4553075956646353 | 0.09325808985158801,-0.15261923428624868,-0.4383660058956593,-0.20949043333530426,-0.27518920321017504,0.14434566744603217,0.12108047492802143,0.03166386461816728,0.25677812518551946 | 0.1672076671384275,-0.3554374403320253,-0.2247075301129371,0.20294456463307142,0.027833324624225497,-0.2869234271347523,0.4464247007854283,0.022389909252524376,-0.48035070300102234 | 0.4222969077527523,-0.061152805807068944,-0.006758366711437702,-0.4830787698738277,-0.35590640688315034,-0.2586671579629183,-0.27879607351496816,-0.2991896641906351,0.4653761428780854 | 0.17883108858950436,0.33001443929970264,0.3536127165425569,-0.4030880795326084,0.29361891746520996,-0.08233213284984231,-0.3289891267195344,0.11654069204814732,-0.004821582464501262 | 0.04683848633430898,-0.2788646703120321,-0.18987996829673648,0.4305818499997258,0.04851638339459896,0.07080543600022793,-0.022597199073061347,0.4134190450422466,-0.1392951540183276 | -0.0056205675937235355,-0.174815462436527,-0.22433109115809202,0.45713218371383846,-0.4349434240721166,0.2535889367572963,-0.003825810505077243,0.48737529991194606,0.02221194515004754 | -0.023895996855571866,0.42097895801998675,-0.28536755847744644,-0.21307316632010043,0.17420100676827133,-0.3427750510163605,0.34044127771630883,-0.3550950021017343,-0.3211202311795205 | -0.08638203842565417,-0.1795743100810796,-0.17019168171100318,-0.2074654884636402,-0.023001175839453936,-0.2621301217004657,0.38158907694742084,0.37647024914622307,0.14995221816934645 |
| 0.46759738423861563,-0.19682108704000711,0.2618119791150093,-0.1634466431569308,-0.007783036446198821,-0.19278315757401288,-0.26122383028268814,-0.07573197176679969,0.3864800836890936 | -0.48730521951802075,-0.3866694807074964,-0.020236478419974446,-0.2873560572043061,-0.025508441030979156,-0.2206116479355842,-0.4682148122228682,0.32242694427259266,0.10982466768473387 | -0.2724368288181722,-0.2753960059490055,-0.33441920671612024,0.4528969940729439,-0.2815959614235908,0.22295690118335187,-0.4043461757246405,-0.3275405855383724,0.23622155538760126 | 0.4625209274236113,0.32742811436764896,0.10237313061952591,-0.12796446564607322,-0.414141614921391,-0.1514669400639832,-0.01662084343843162,-0.14053669827990234,-0.36169270682148635 | 0.09291573776863515,0.3211210290901363,-0.15494070621207356,0.24393156985752285,0.24700396810658276,0.19266429170966148,-0.27997553977184,0.4966580558102578,-0.22691197553649545 | 0.3836678781080991,-0.13599187578074634,-0.1364638926461339,-0.43699702760204673,-0.27432505739852786,0.41619436745531857,-0.11503469524905086,-0.3961033462546766,-0.020432721357792616 | -0.193523820489645,0.4910850692540407,-0.27648557908833027,-0.4998001556377858,-0.09176432015374303,0.34581296890974045,0.23351580812595785,0.08933460712432861,0.10291039547882974 | 0.3553353671450168,-0.16847370797768235,-0.20267798309214413,0.17961664823815227,0.47903859009966254,-0.23418981162831187,0.4254107824526727,0.09667833056300879,-0.3807956201490015 | 0.28068224200978875,-0.44903784338384867,0.2923245767597109,-0.07399112172424793,0.18727760040201247,-0.37603475409559906,-0.1889270255342126,0.4814679545816034,0.43839118839241564 |
| -0.14589535049162805,-0.1717006757389754,-0.45313729462213814,-0.2100987967569381,0.07980192452669144,-0.44921216275542974,-0.17929161479696631,-0.04341954831033945,0.4006048652809113 | -0.4965447639115155,-0.0014531267806887627,-0.29496189462952316,0.19512724899686873,-0.3313389546237886,0.3247809917666018,0.15656536747701466,0.11421202355995774,0.42492879019118845 | 0.2714288558345288,-0.1916312901303172,0.4496154594235122,0.04432122246362269,0.26015818142332137,0.23316897172480822,0.0009896783158183098,-0.3811049638316035,0.3290000348351896 | -0.4836600609123707,0.02708054124377668,0.13805704074911773,0.1663553488906473,0.2761503455694765,0.03225992526859045,0.45297228381969035,0.354224517242983,-0.052333300933241844 | -0.35349741601385176,-0.1541479758452624,-0.027075647143647075,-0.041777053847908974,0.11361095705069602,0.4713886242825538,0.08079340774565935,-0.48420853423886,-0.17356075230054557 | 0.2966376030817628,0.11905975500121713,-0.1032753880135715,0.006346250884234905,-0.37453129538334906,-0.21762368362396955,-0.28873807075433433,-0.3141079822089523,0.4940416933968663 | 0.3634993168525398,-0.3069120279978961,-0.23129675700329244,-0.44453911134041846,-0.015643975231796503,0.20427393168210983,0.4832139019854367,-0.4569323167670518,0.33622720348648727 | 0.07591067790053785,0.2544891396537423,0.2166022111196071,0.49970838613808155,0.46719133271835744,0.23308443976566195,-0.31126176728866994,-0.15072528878226876,0.3715090458281338 | 0.3837906343396753,0.05234387400560081,0.06665072636678815,0.27778878109529614,-0.3008185876533389,-0.07416667882353067,-0.4633671671617776,0.44746156595647335,0.2120667810086161 |
| 0.021643613232299685,0.16461328463628888,-0.169558210298419,0.45967748924158514,0.42275283206254244,-0.08581345505081117,0.4139947243966162,0.13542274618521333,0.10745443357154727 | 0.3182900445535779,-0.01208076043985784,0.03441581316292286,0.47767857532016933,0.14327594102360308,-0.3261140026152134,0.3892594608478248,0.18882739008404315,0.008150221779942513 | -0.39185736724175513,-0.17013170733116567,0.4759645448066294,0.2762161267455667,-0.39349775156006217,0.488720026332885,-0.31670395913533866,-0.4801257657818496,0.022118705324828625 | -0.4786602156236768,-0.3950942412484437,0.4440704449079931,0.19278773106634617,-0.2732785823754966,0.24886846030130982,-0.44708162639290094,0.04260175512172282,0.2242374278139323 | -0.07777238683775067,0.1594398187007755,0.0025933473370969296,0.3868825265672058,0.1324954240117222,-0.4799224026501179,0.3994310963898897,-0.32090002088807523,0.40018269955180585 | 0.31606225948780775,0.3612197518814355,-0.41332347015850246,-0.09803329268470407,0.26120718428865075,0.19908832991495728,0.24824425159022212,0.25285301241092384,0.08196565718390048 | 0.36667368933558464,-0.1476106490008533,0.09209217294119298,0.39403858454898,0.20463417074643075,0.08012518216855824,-0.24505622033029795,0.3733477864880115,-0.18364503071643412 | -0.3485803995281458,-0.40941790910437703,-0.335264086490497,0.2893678327091038,-0.06440259027294815,-0.3636002507992089,0.26113549899309874,0.38240541936829686,0.3697478473186493 | 0.1889077324885875,0.46651859022676945,-0.42481108638457954,0.32551679969765246,-0.13739954424090683,0.33494172082282603,-0.0926981430966407,-0.15092503116466105,-0.3316819288302213 |
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Wow!
That is why we created a simple Language for you and the machine called: z^3.