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Image: ubuntu2004
var('x,y') ff=fast_float(sqrt(sin(x)*sin(y)),'x','y')
def f(x,y): print x, y, sin(x)*sin(y), ff(x,y) return ff(x,y)
var('y') plot3d(f, (x,0,2*pi),(y,0,2*pi))
WARNING: Output truncated!
0.0 0.0 0.0 0.0 0.0 0.161107315569 0.0 0.0 0.0 0.322214631137 0.0 0.0 0.0 0.483321946706 0.0 0.0 0.0 0.644429262275 0.0 0.0 0.0 0.805536577844 0.0 0.0 0.0 0.966643893412 0.0 0.0 0.0 1.12775120898 0.0 0.0 0.0 1.28885852455 0.0 0.0 0.0 1.44996584012 0.0 0.0 0.0 1.61107315569 0.0 0.0 0.0 1.77218047126 0.0 0.0 0.0 1.93328778682 0.0 0.0 0.0 2.09439510239 0.0 0.0 0.0 2.25550241796 0.0 0.0 0.0 2.41660973353 0.0 0.0 0.0 2.5777170491 0.0 0.0 0.0 2.73882436467 0.0 0.0 0.0 2.89993168024 0.0 0.0 0.0 3.06103899581 0.0 0.0 0.0 3.22214631137 -0.0 -0.0 0.0 3.38325362694 -0.0 -0.0 0.0 3.54436094251 -0.0 -0.0 0.0 3.70546825808 -0.0 -0.0 0.0 3.86657557365 -0.0 -0.0 0.0 4.02768288922 -0.0 -0.0 0.0 4.18879020479 -0.0 -0.0 0.0 4.34989752036 -0.0 -0.0 0.0 4.51100483592 -0.0 -0.0 0.0 4.67211215149 -0.0 -0.0 0.0 4.83321946706 -0.0 -0.0 0.0 4.99432678263 -0.0 -0.0 0.0 5.1554340982 -0.0 -0.0 0.0 5.31654141377 -0.0 -0.0 0.0 5.47764872934 -0.0 -0.0 0.0 5.6387560449 -0.0 -0.0 0.0 5.79986336047 -0.0 -0.0 0.0 5.96097067604 -0.0 -0.0 0.0 6.12207799161 -0.0 -0.0 0.0 6.28318530718 -0.0 -0.0 0.161107315569 0.0 0.0 0.0 0.161107315569 0.161107315569 0.0257317790264 0.160411280858 0.161107315569 0.322214631137 0.0507971184924 0.22538216099 0.161107315569 0.483321946706 0.0745468392718 0.273032670704 0.161107315569 0.644429262275 0.0963658360718 0.310428471748 0.161107315569 0.805536577844 0.115689008336 0.340130869426 0.161107315569 0.966643893412 0.132015896053 0.363339918056 0.161107315569 1.12775120898 0.144923641407 0.380688378346 0.161107315569 1.28885852455 0.154077940574 0.392527630332 0.161107315569 1.44996584012 0.159241702013 0.399051001769 0.161107315569 1.61107315569 0.160281187016 0.400351329479 0.161107315569 1.77218047126 0.157169473467 0.396446053665 0.161107315569 1.93328778682 0.149987153112 0.387281749004 0.161107315569 2.09439510239 0.138920244276 0.372720061543 0.161107315569 2.25550241796 0.124255374086 0.352498757566 0.161107315569 2.41660973353 0.106372354974 0.326147750221 0.161107315569 2.5777170491 0.0857343477439 0.292804282318 0.161107315569 2.73882436467 0.0628758659411 0.250750605066 0.161107315569 2.89993168024 0.0383889322377 0.195930937419 ... 6.12207799161 3.38325362694 0.0383889322377 0.195930937419 6.12207799161 3.54436094251 0.0628758659411 0.250750605066 6.12207799161 3.70546825808 0.0857343477439 0.292804282318 6.12207799161 3.86657557365 0.106372354974 0.326147750221 6.12207799161 4.02768288922 0.124255374086 0.352498757566 6.12207799161 4.18879020479 0.138920244276 0.372720061543 6.12207799161 4.34989752036 0.149987153112 0.387281749004 6.12207799161 4.51100483592 0.157169473467 0.396446053665 6.12207799161 4.67211215149 0.160281187016 0.400351329479 6.12207799161 4.83321946706 0.159241702013 0.399051001769 6.12207799161 4.99432678263 0.154077940574 0.392527630332 6.12207799161 5.1554340982 0.144923641407 0.380688378346 6.12207799161 5.31654141377 0.132015896053 0.363339918056 6.12207799161 5.47764872934 0.115689008336 0.340130869426 6.12207799161 5.6387560449 0.0963658360718 0.310428471748 6.12207799161 5.79986336047 0.0745468392718 0.273032670704 6.12207799161 5.96097067604 0.0507971184924 0.22538216099 6.12207799161 6.12207799161 0.0257317790264 0.160411280858 6.12207799161 6.28318530718 3.92894323299e-17 6.26812829559e-09 6.28318530718 0.0 -0.0 -0.0 6.28318530718 0.161107315569 -3.92894323299e-17 nan 6.28318530718 0.322214631137 -7.75612890003e-17 nan 6.28318530718 0.483321946706 -1.13824349027e-16 nan 6.28318530718 0.644429262275 -1.47139418202e-16 nan 6.28318530718 0.805536577844 -1.76643653735e-16 nan 6.28318530718 0.966643893412 -2.01572911423e-16 nan 6.28318530718 1.12775120898 -2.21281536587e-16 nan 6.28318530718 1.28885852455 -2.35259086186e-16 nan 6.28318530718 1.44996584012 -2.4314354903e-16 nan 6.28318530718 1.61107315569 -2.44730721671e-16 nan 6.28318530718 1.77218047126 -2.39979497172e-16 nan 6.28318530718 1.93328778682 -2.29012929751e-16 nan 6.28318530718 2.09439510239 -2.12115047745e-16 nan 6.28318530718 2.25550241796 -1.89723497421e-16 nan 6.28318530718 2.41660973353 -1.62418208171e-16 nan 6.28318530718 2.5777170491 -1.30906372644e-16 nan 6.28318530718 2.73882436467 -9.60041308276e-17 nan 6.28318530718 2.89993168024 -5.86154324511e-17 nan 6.28318530718 3.06103899581 -1.97086251635e-17 nan 6.28318530718 3.22214631137 1.97086251635e-17 4.43943973531e-09 6.28318530718 3.38325362694 5.86154324511e-17 7.65607160697e-09 6.28318530718 3.54436094251 9.60041308276e-17 9.79816976928e-09 6.28318530718 3.70546825808 1.30906372644e-16 1.14414322812e-08 6.28318530718 3.86657557365 1.62418208171e-16 1.27443402407e-08 6.28318530718 4.02768288922 1.89723497421e-16 1.37740152977e-08 6.28318530718 4.18879020479 2.12115047745e-16 1.45641699985e-08 6.28318530718 4.34989752036 2.29012929751e-16 1.51331731554e-08 6.28318530718 4.51100483592 2.39979497172e-16 1.54912716448e-08 6.28318530718 4.67211215149 2.44730721671e-16 1.5643871697e-08 6.28318530718 4.83321946706 2.4314354903e-16 1.55930609256e-08 6.28318530718 4.99432678263 2.35259086186e-16 1.53381578485e-08 6.28318530718 5.1554340982 2.21281536587e-16 1.48755348336e-08 6.28318530718 5.31654141377 2.01572911423e-16 1.41976375296e-08 6.28318530718 5.47764872934 1.76643653735e-16 1.32907356356e-08 6.28318530718 5.6387560449 1.47139418202e-16 1.21301038001e-08 6.28318530718 5.79986336047 1.13824349027e-16 1.06688494706e-08 6.28318530718 5.96097067604 7.75612890003e-17 8.80688872419e-09 6.28318530718 6.12207799161 3.92894323299e-17 6.26812829559e-09 6.28318530718 6.28318530718 5.99903913065e-32 2.44929359829e-16
var('y') plot3d(f, (x,0,6),(y,0,6) )
WARNING: Output truncated!
0.0 0.0 0.0 0.0 0.0 0.153846153846 0.0 0.0 0.0 0.307692307692 0.0 0.0 0.0 0.461538461538 0.0 0.0 0.0 0.615384615385 0.0 0.0 0.0 0.769230769231 0.0 0.0 0.0 0.923076923077 0.0 0.0 0.0 1.07692307692 0.0 0.0 0.0 1.23076923077 0.0 0.0 0.0 1.38461538462 0.0 0.0 0.0 1.53846153846 0.0 0.0 0.0 1.69230769231 0.0 0.0 0.0 1.84615384615 0.0 0.0 0.0 2.0 0.0 0.0 0.0 2.15384615385 0.0 0.0 0.0 2.30769230769 0.0 0.0 0.0 2.46153846154 0.0 0.0 0.0 2.61538461538 0.0 0.0 0.0 2.76923076923 0.0 0.0 0.0 2.92307692308 0.0 0.0 0.0 3.07692307692 0.0 0.0 0.0 3.23076923077 -0.0 -0.0 0.0 3.38461538462 -0.0 -0.0 0.0 3.53846153846 -0.0 -0.0 0.0 3.69230769231 -0.0 -0.0 0.0 3.84615384615 -0.0 -0.0 0.0 4.0 -0.0 -0.0 0.0 4.15384615385 -0.0 -0.0 0.0 4.30769230769 -0.0 -0.0 0.0 4.46153846154 -0.0 -0.0 0.0 4.61538461538 -0.0 -0.0 0.0 4.76923076923 -0.0 -0.0 0.0 4.92307692308 -0.0 -0.0 0.0 5.07692307692 -0.0 -0.0 0.0 5.23076923077 -0.0 -0.0 0.0 5.38461538462 -0.0 -0.0 0.0 5.53846153846 -0.0 -0.0 0.0 5.69230769231 -0.0 -0.0 0.0 5.84615384615 -0.0 -0.0 0.0 6.0 -0.0 -0.0 0.153846153846 0.0 0.0 0.0 0.153846153846 0.153846153846 0.0234824925344 0.153239983472 0.153846153846 0.307692307692 0.0464102818141 0.215430457025 0.153846153846 0.461538461538 0.0682417677806 0.261231253453 0.153846153846 0.615384615385 0.0884612472434 0.297424355498 0.153846153846 0.769230769231 0.106591095817 0.326482918109 0.153846153846 0.923076923077 0.122203050361 0.349575528836 0.153846153846 1.07692307692 0.134928325406 0.3673259117 0.153846153846 1.23076923077 0.144466324607 0.380087259201 0.153846153846 1.38461538462 0.15059174142 0.388061517571 0.153846153846 1.53846153846 0.153159881297 0.391356463211 0.153846153846 1.69230769231 0.152110079659 0.390012922425 0.153846153846 1.84615384615 0.147467134911 0.384014498308 0.153846153846 2.0 0.139340722657 0.373283702641 0.153846153846 2.15384615385 0.127922804946 0.357662976761 0.153846153846 2.30769230769 0.113483095738 0.336872521495 0.153846153846 2.46153846154 0.0963626897325 0.31042340397 0.153846153846 2.61538461538 0.0769660050251 0.277427477055 0.153846153846 2.76923076923 0.0557512299503 0.236116983613 ... 5.84615384615 3.23076923077 0.0376941403667 0.19414978848 5.84615384615 3.38461538462 0.101850310225 0.319139953977 5.84615384615 3.53846153846 0.163600572853 0.404475676466 5.84615384615 3.69230769231 0.221486264031 0.470623271876 5.84615384615 3.84615384615 0.274140008416 0.523583812217 5.84615384615 4.0 0.320318019671 0.565966447478 5.84615384615 4.15384615385 0.358929481175 0.599107236791 5.84615384615 4.30769230769 0.389062313289 0.623748597825 5.84615384615 4.46153846154 0.410004718486 0.640316108252 5.84615384615 4.61538461538 0.421261995437 0.649046990161 5.84615384615 4.76923076923 0.422568224834 0.650052478523 5.84615384615 4.92307692308 0.413892550935 0.643344814959 5.84615384615 5.07692307692 0.395439910442 0.628840131068 5.84615384615 5.23076923077 0.367646191483 0.606338347363 5.84615384615 5.38461538462 0.33116793707 0.575471925528 5.84615384615 5.53846153846 0.286866836244 0.535599511056 5.84615384615 5.69230769231 0.23578936926 0.485581475408 5.84615384615 5.84615384615 0.179142087643 0.423251801701 5.84615384615 6.0 0.118263113036 0.343894043327 6.0 0.0 -0.0 -0.0 6.0 0.153846153846 -0.0428176263257 nan 6.0 0.307692307692 -0.0846238150179 nan 6.0 0.461538461538 -0.124431020615 nan 6.0 0.615384615385 -0.161298917618 nan 6.0 0.769230769231 -0.194356612854 nan 6.0 0.923076923077 -0.222823217704 nan 6.0 1.07692307692 -0.246026294251 nan 6.0 1.23076923077 -0.263417739604 nan 6.0 1.38461538462 -0.274586733176 nan 6.0 1.53846153846 -0.27926944109 nan 6.0 1.69230769231 -0.277355248454 nan 6.0 1.84615384615 -0.268889372314 nan 6.0 2.0 -0.254071793527 nan 6.0 2.15384615385 -0.233252532826 nan 6.0 2.30769230769 -0.206923382622 nan 6.0 2.46153846154 -0.175706289895 nan 6.0 2.61538461538 -0.140338664566 nan 6.0 2.76923076923 -0.101655960402 nan 6.0 2.92307692308 -0.0605719399379 nan 6.0 3.07692307692 -0.0180570895835 nan 6.0 3.23076923077 0.0248843051995 0.157747599663 6.0 3.38461538462 0.0672378831201 0.259302686296 6.0 3.53846153846 0.108003168293 0.328638354871 6.0 3.69230769231 0.14621720347 0.382383581591 6.0 3.84615384615 0.180977297013 0.425414265174 6.0 4.0 0.211462346265 0.459850352033 6.0 4.15384615385 0.23695223363 0.486777396383 6.0 4.30769230769 0.256844837189 0.50679861601 6.0 4.46153846154 0.270670254018 0.520259794735 6.0 4.61538461538 0.278101900227 0.527353676603 6.0 4.76923076923 0.278964225528 0.52817064054 6.0 4.92307692308 0.273236860081 0.522720632921 6.0 5.07692307692 0.261055095666 0.510935510281 6.0 5.23076923077 0.242706689827 0.492652707114 6.0 5.38461538462 0.218625068463 0.467573596842 6.0 5.53846153846 0.189379087446 0.435177075965 6.0 5.69230769231 0.155659595109 0.394537191034 6.0 5.84615384615 0.118263113036 0.343894043327 6.0 6.0 0.0780730206338 0.279415498199
float(pi)
3.1415926535897931