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PHPͰཧΤϯδϯ ʢPHPysicsʣΛ࡞ͬͯΈͨ ͔͔͋ͭ PHPΧϯϑΝϨϯεԭೄ2024
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ࣗݾհ • ͔͔͋ͭ @aki_artisan • όοΫΤϯυΤϯδχΞ • ҩྍػ͚ؔۀࢧԉγεςϜΛ࡞͍ͬͯ·͢ • PHPΧϯϑΝϨϯεؔ2025࣮ߦҕһΓ·͢ʂ
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͓͜ͱΘΓ • ࠓճհ͢ΔϓϩάϥϜษڧ༻ʹ࡞ͬͨͷͰ͢ • ֶज़తࣄͰ͑·ͤΜ • ൃදऀཧͷઐՈͰ͋Γ·ͤΜ
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ιʔείʔυͪ͜Β • ίʔυݟͳ͕Βฉ͖͍ͨํ • ͥͻͥͻελʔ͍ͩ͘͞🤩 https://github.com/akinoriakatsuka/PHPysics/
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ຊൃදͷඪ • ཧʹ͠ΜͰΒ͏ • ۀͷϓϩάϥϜΛΕָͯ͠ΜͰΒ͏ • ࣗͰཧΤϯδϯΛ࡞ͬͯΈΑ͏͔ͳͱࢥͬͯΒ͏
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ΞδΣϯμ • ͦͦཧΤϯδϯͱ • ཧΤϯδϯΛ࡞ΔͨΊͷཧ • ࣮ • σϞ • ͓·͚ʢ࣮ͷʣ • ·ͱΊ
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ͦͦཧΤϯδϯͱ
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ͦͦཧΤϯδϯͱ • ཧԋࢉΛ͢ΔιϑτΣΞͷ͜ͱ • ήʔϜֶज़ݚڀͳͲʹ༻͍ΒΕΔ • εύίϯΛͬͨඈລͷݚڀ https://www.youtube.com/watch?v=3zhHuNgq1yk
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ཧΤϯδϯΛ࡞Ζ͏ͱࢥ͖͔͚ͬͨͬ • PHPΧϯϑΝϨϯεԭೄͰ͍ͨ͠ωλΛ୳͍ͯͨ͠ • ཧͬͯPhysicsͩΑͳʔ • PHPͰ࡞ͬͯPHPysicsͱ໋໊ͨ͠Βɺ໘ന͍ͷͰʁ • 3DͷήʔϜΛϓϨΠ͍ͯͯ͠ཧΤϯδϯʹڵຯ͕͋ͬͨ →͏͔ͭʹͭͬͯ͘͠·ͬͨ
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໋໊ʹ͍ͭͯʢখωλʣ • ElePHPant • PHPͷϚείοτ • phΛPHPʹஔ͍ͯ͠Δ • Physics → PHPysics
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ཧΤϯδϯΛ࡞ΔͨΊʹʢཧʣ
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ཧΤϯδϯͰΓ͍ͨ͜ͱ • ͋Δ࣌ؒ ͕ܦաͨ͠ޙͷମͷҐஔΛ༧ଌ͍ͨ͠ • ʮࣗવʹʯମ͕ಈ͍͍ͯΔΑ͏ʹݟ͑ΕΑ͍͜ͱʹ͢Δ t
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ߴߍཧΛ͓͞Β͍ • ӡಈํఔࣜ ɹ( ·ͨɺ ʣ • ྗ • ࣭ྔ • Ճ • Ճ࣌ؒ͋ͨΓʹ͕Ͳͷ͘Β͍มΘΔ͔ • ʮՃʯʴʮʯͱΘ͚Δͱཧղ͍͢͠ʁ F = ma a = F m F m a
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ཧ๏ଇ࣮ݧ؍ଌΛͱʹఆࣜԽ͞Εͨ๏ଇ • ݹయྗֶͰɺʮ͔ΒϦϯΰ͕མͪΔಈ͖ʯͱʮଠཅܥͷͷಈ ͖ʯΛಉ࣌ʹಉ͡๏ଇͰઆ໌Ͱ͖Δ • ΑΓଟ͘ͷ؍ଌΛઆ໌Ͱ͖Δཧ͕ΑΓਖ਼͍͠ཧͱͯ͠ೝΊΒΕͯ ͍͘ • ిࢠͳͲϛΫϩͳମͷಈ͖ݹయྗֶͰઆ໌͖͠Εͳ͍
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ཧΤϯδϯΛ࡞ΔͨΊͷཧ • ࣜΛղ͘͜ͱͰະདྷͷҐஔΛόγοͱܾΊΔͷʮղੳతʹղ͘ʯ ͱݴΘΕΔ • ߴߍཧͷྗֶͷ΄΅͜Ε • 3ମҎ্ͷӡಈͰղੳతʹղ͚ͳ͍Β͍͠ • ੵͷΞϓϩʔνͰۙࣅతʹܭࢉ͍ͯ͘͠
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ཧΤϯδϯΛ࡞ΔͨΊͷཧ • ੵͱɺ͋ΔͷͷશମΛܭࢉ͢Δͱ͖ʹɺݶΓͳ͘ࡉ͔ͬͯ͘ શͯΛ͠߹ΘͤΔ͜ͱͰ͑ΛٻΊΔΓํ • ྫʣۂઢͰғ·Εͨਤܗͷ໘ੵ • ཧΤϯδϯͰӡಈΛࡉ͔͍ͬͯ͘͘ https://hiraocafe.com/note/kubunkyuseki.html
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ཧΤϯδϯͷ࡞Γํ • ମͷ࣍ͷҐஔΛΘ͔Γ͍ͨ • ࣍ͷҐஔ͕Θ͔ΔͨΊʹͱࠓͷҐஔ͕Θ͔ΕΑ͍ • ͕Θ͔ΔͨΊʹࠓͷͱՃ͕Θ͔ΕΑ͍ • Ճ͕Θ͔ΔͨΊʹྗͱ࣭ྔ͕͔ΕΑ͍ ཻࢠ͝ͱʹɺ࣭ྔɺҐஔɺΛཧ͓͍ͯͯ͠ɺྗܭࢉͯ͠ ίϚૹΓʹͨ͠ΒͰ͖ͦ͏ʂ
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͍͟ɺ࣮
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ͭ͘Δͷ • ॳظ݅ఆΛ༩֤͑ͯεςοϓ͝ͱͷཻ֤ࢠͷ࠲ඪΛग़ྗ͢Δ ϓϩάϥϜ ཧΤϯδϯ
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ͭ͘Δͷ • άϥϑΟοΫͷඳըPythonͷϥΠϒϥϦͰ͓͜ͳ͏(matplotlib) Python
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Step0 શମ૾ • main.php • ύϥϝʔλͷऔΓࠐΈ • ܥͷॳظԽ • ମ͕ಈ͖ճΔϑΟʔϧυ • ܭࢉ+ग़ྗ
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Step0 શମ૾ • main.php • ύϥϝʔλͷऔΓࠐΈ • ܥͷॳظԽ • ମ͕ಈ͖ճΔϑΟʔϧυ • ܭࢉ+ग़ྗ
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Step1 ࠲ඪܥΛ࡞Δ • 3࣍ݩͰ࠲ඪʢҐஔʣΛදͤΕྑ͍ • ͬ͜ʢڥքʣޙͰߟ͑Δ͜ͱʹ͢Δ • CoordinateΫϥεͱSystemΫϥε
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Step2 ཻࢠΛ͓͘ • ͱΓ࣭͋͑ͣʹ͢ΔʢྖҬମੵΛͨͳ͍ʣ • ࠲ඪͱ࣭ྔ͚ͩ͋Εྑ͍ • ParticleΫϥε
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Step3 ઢӡಈͤ͞Δ • ཻࢠ͕ॳΛ࣋ͯΔΑ͏ʹ͢Δ • λΠϜεςοϓ͝ͱʹͷ͚ͩ࠲ඪΛͣΒ͢
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Step4 ྗΛͱʹՃΛܭࢉ͢ΔΑ͏ʹ͢Δ • ྗΛͱʹՃΛܭࢉͰ͖ΔΑ͏ʹ͢Δ • λΠϜεςοϓ͝ͱʹྗΛܭࢉͯ͠ՃΛܭࢉ • ՃΛͱʹΛߋ৽ • ΛͱʹҐஔΛߋ৽ • ForceΫϥε
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Step5 ༷ʑͳྗΛϓϩάϥϜ͢Δ • ॏྗόωͷಈ͖ͳͲͦΕͧΕͷཧ๏ଇʹैͬͯ ྗͷܭࢉࣜΛ࣮͢Δ • ͍Ζ͍Ζͳಈ͖Λͤ͞Δ͜ͱ͕Ͱ͖ΔΑ͏ʹͳΔ • calculateForceϝιουʹ৭ʑՃ͢Δ
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࣮ͷ·ͱΊ • ͱ͍͏ײ͡ͰҰ௨Γ࣮ͨ͠ͷ͕ͪ͜Β • ৼΓࢠͷγϛϡϨʔγϣϯ • Ҿ͖߹͏2ମͷγϛϡϨʔγϣϯ
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σϞαΠτͷ͝Ҋ
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Έͳ͞ΜɺPHPysicsͰ༡·͢ • https://phpysics.net ͰdemoΛެ։͍ͯ͠·͢ • ύϥϝʔλΛ͍ͬͯ͡ɺ͓ΈͷӡಈΛͤ͞ΒΕ·͢ • ʢύϥϝʔλͷॻࣜͷϚχϡΞϧͱ͔༻ҙͰ͖ͯͳ͍Ͱ͢🙏ʣ • ͥͻͥͻɺ༡ΜͰΈ͍ͯͩ͘͞
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ࠓޙͷల
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ࠓޙͷల 1. ࣭ͷӡಈʹͱͲ·͍ͬͯΔͷͰɺྖҬΛͬͨਤܗΛѻ͑ΔΑ͏ ʹ͍ͨ͠ • ߶ମٿ߶ମͳͲʢճసΛѻ͏ඞཁ͕͋Γগͦ͠͠͏ʣ 2. ମͷিಥΛѻ͑ΔΑ͏ʹ͍ͨ͠ • Ҡಈ͢ΔྖҬ͕ඃΔ͔ఆͯ͠ɺΛௐ͢Δʁʢͦ͠͏ʣ • ʢ͢Γൈ͚όάͬͯ͜ͷลΓͷѻ͍͕͍͔͠ΒͳΜͰ͔͢Ͷ🤔ʣ
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·ͱΊ
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·ͱΊ • ཧΤϯδϯͰɺະདྷͷମͷҐஔΛܭࢉ͢Δ • ཧΤϯδϯֶज़ݚڀήʔϜͳͲʹΘΕ͍ͯΔ • ྗֶͷܭࢉͰɺখִ͍࣌ؒؒ͞ʹ۠ͬͯগͣͭ͠ίϚૹΓͰ ҐஔΛมԽͤ͞Δ
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͓·͚ɿ࣮ͷ
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࣮ͷ • ͳ͔ͥܭࢉ͕ͣΕ͍ͯ͘ͱ͍͏ݱ͕ىͬͨ͜ • (ίϛοτϋογϡɿd760f2cf4da048b) • ͳͥͩͱࢥ͍·͔͢ʁ
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࣮ͷ • ଞͷཻࢠͷྗΛܭࢉ͢Δલʹɺܭࢉཻͨ͠ࢠͷҐஔΛಈ͔ͯ͠͠·ͬ ͍ͯͨʂ • νϦͭͰޡ͕ࠩ૿͍͑ͯͬͯ͠·͍ͬͯͨ • શͯͷཻࢠͷྗΛܭࢉ͔ͯ͠ΒҰ੪ʹͱҐஔΛߋ৽͢ΔΑ͏ʹ
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PHPͰཧΤϯδϯ࡞ΕΔ ͭͬͯ͋ͦ͘ΜͰΈΑ͏ʂ
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͝ਗ਼ௌ͋Γ͕ͱ͏͍͟͝·ͨ͠ʂ