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muuhd/dungeon_crawler_inspiration/DDA ray casting help.html
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class="pt-(--sidebar-section-first-margin-top) last:mb-5"><a tabindex="0" data-fill="" class="group __menu-item hoverable" rel="noopener noreferrer" id="sora" href="https://sora.chatgpt.com/?utm_source=chatgpt" target="_blank"><div class="flex min-w-0 items-center gap-1.5"><div class="flex items-center justify-center group-disabled:opacity-50 group-data-disabled:opacity-50 icon"><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M16.585 10C16.585 6.3632 13.6368 3.41504 10 3.41504C6.3632 3.41504 3.41504 6.3632 3.41504 10C3.41504 13.6368 6.3632 16.585 10 16.585C13.6368 16.585 16.585 13.6368 16.585 10ZM17.915 10C17.915 14.3713 14.3713 17.915 10 17.915C5.62867 17.915 2.08496 14.3713 2.08496 10C2.08496 5.62867 5.62867 2.08496 10 2.08496C14.3713 2.08496 17.915 5.62867 17.915 10Z"></path><path d="M7.96545 12.1812V7.81878C7.96545 7.17205 8.68092 6.78144 9.22494 7.13117L12.6179 9.31238C13.1185 9.63416 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5.97201C16.0011 4.88196 15.1177 3.99837 14.0276 3.99837C12.9376 3.99843 12.0541 4.882 12.054 5.97201C12.054 7.06212 12.9375 7.94558 14.0276 7.94564C15.1177 7.94564 16.0012 7.06216 16.0012 5.97201ZM9.27563 14.0277C9.27563 15.8524 7.79661 17.3314 5.97192 17.3314C4.14734 17.3313 2.66821 15.8523 2.66821 14.0277C2.66827 12.2031 4.14737 10.7241 5.97192 10.724C7.79657 10.724 9.27558 12.203 9.27563 14.0277ZM17.3313 14.0277C17.3313 15.8524 15.8523 17.3314 14.0276 17.3314C12.203 17.3313 10.7239 15.8523 10.7239 14.0277C10.7239 12.2031 12.203 10.724 14.0276 10.724C15.8522 10.724 17.3312 12.203 17.3313 14.0277ZM9.27563 5.97201C9.27563 7.7967 7.79661 9.27572 5.97192 9.27572C4.14734 9.2756 2.66821 7.79662 2.66821 5.97201C2.66833 4.14749 4.14741 2.66841 5.97192 2.6683C7.79654 2.6683 9.27552 4.14742 9.27563 5.97201ZM17.3313 5.97201C17.3313 7.79669 15.8523 9.27572 14.0276 9.27572C12.203 9.27566 10.7239 7.79666 10.7239 5.97201C10.724 4.14746 12.203 2.66836 14.0276 2.6683C15.8522 2.6683 17.3312 4.14742 17.3313 5.97201Z"></path></svg></div><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate">GPTs</div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" href="https://chatgpt.com/g/g-2fkFE8rbu-dall-e" data-discover="true"><div class="flex min-w-0 items-center gap-1.5"><div class="flex items-center justify-center group-disabled:opacity-50 group-data-disabled:opacity-50 icon"><div class="overflow-hidden rounded-full icon"><img class="bg-token-tertiary h-full w-full" alt="" width="80" height="80" src="./DDA ray casting help_files/agent_3.webp"></div></div><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate">DALL·E</div></div></div><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" type="button" id="radix-«ra6»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" href="https://chatgpt.com/g/g-B3hgivKK9-write-for-me" data-discover="true"><div class="flex min-w-0 items-center gap-1.5"><div class="flex items-center justify-center group-disabled:opacity-50 group-data-disabled:opacity-50 icon"><div class="overflow-hidden rounded-full icon"><img class="bg-token-tertiary h-full w-full" alt="" width="80" height="80" src="./DDA ray casting help_files/NewLogo.png"></div></div><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate">Write For Me</div></div></div><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" type="button" id="radix-«ra9»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div></a></aside><aside class="pt-(--sidebar-section-margin-top) last:mb-5" id="snorlax-heading"><div tabindex="0" data-fill="" class="group __menu-item hoverable gap-1.5"><div class="flex items-center justify-center group-disabled:opacity-50 group-data-disabled:opacity-50 icon"><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M16.6182 9.33203H3.38184V12.7002C3.38184 13.3753 3.38238 13.8438 3.41211 14.208C3.44124 14.5646 3.49494 14.766 3.57129 14.916L3.63867 15.0361C3.80618 15.3094 4.04683 15.5324 4.33399 15.6787L4.45703 15.7314C4.59362 15.7803 4.77411 15.816 5.04199 15.8379C5.40624 15.8676 5.87469 15.8682 6.54981 15.8682H13.4502C14.1253 15.8682 14.5938 15.8676 14.958 15.8379C15.3146 15.8088 15.516 15.7551 15.666 15.6787L15.7861 15.6113C16.0594 15.4438 16.2824 15.2032 16.4287 14.916L16.4814 14.793C16.5303 14.6564 16.566 14.4759 16.5879 14.208C16.6176 13.8438 16.6182 13.3753 16.6182 12.7002V9.33203ZM17.8818 12.7002C17.8818 13.3547 17.8826 13.8838 17.8477 14.3115C17.8165 14.6922 17.7543 15.0349 17.6172 15.3545L17.5537 15.4902C17.3015 15.9852 16.9182 16.3996 16.4473 16.6885L16.2402 16.8037C15.8824 16.9861 15.4966 17.0621 15.0615 17.0977C14.6338 17.1326 14.1047 17.1318 13.4502 17.1318H6.54981C5.89526 17.1318 5.36616 17.1326 4.93848 17.0977C4.55777 17.0665 4.21506 17.0043 3.89551 16.8672L3.75977 16.8037C3.26483 16.5515 2.85036 16.1682 2.56152 15.6973L2.44629 15.4902C2.26394 15.1324 2.1879 14.7466 2.15235 14.3115C2.1174 13.8838 2.11817 13.3547 2.11817 12.7002V7.29981C2.11817 6.64526 2.1174 6.11616 2.15235 5.68848C2.1879 5.25344 2.26394 4.86765 2.44629 4.50977L2.56152 4.30274C2.85036 3.83179 3.26483 3.44854 3.75977 3.19629L3.89551 3.13281C4.21506 2.99571 4.55777 2.93346 4.93848 2.90235C5.36616 2.8674 5.89526 2.86817 6.54981 2.86817H7.24512C7.38876 2.86816 7.48717 2.86807 7.58399 2.87402L7.83496 2.90039C8.41501 2.98537 8.96006 3.23832 9.40039 3.63086L9.64356 3.86817C9.75546 3.98103 9.79343 4.0181 9.83008 4.05078L9.94238 4.14356C10.2142 4.34787 10.5413 4.46917 10.8828 4.49024L11.1445 4.49317H13.4502C14.1047 4.49317 14.6338 4.4924 15.0615 4.52735C15.4966 4.5629 15.8824 4.63894 16.2402 4.82129L16.4473 4.93652C16.9182 5.22536 17.3015 5.63983 17.5537 6.13477L17.6172 6.27051C17.7543 6.59006 17.8165 6.93277 17.8477 7.31348C17.8826 7.74116 17.8818 8.27026 17.8818 8.92481V12.7002ZM3.38184 8.06836H16.6143C16.6105 7.81516 16.603 7.60256 16.5879 7.41699C16.566 7.14911 16.5303 6.96862 16.4814 6.83203L16.4287 6.70899C16.2824 6.42183 16.0594 6.18118 15.7861 6.01367L15.666 5.94629C15.516 5.86994 15.3146 5.81624 14.958 5.78711C14.5938 5.75738 14.1253 5.75684 13.4502 5.75684H11.1445L10.8047 5.75098C10.2158 5.71466 9.65236 5.50645 9.1836 5.1543L8.98926 4.99414C8.91673 4.92948 8.84746 4.85908 8.7461 4.75684L8.55957 4.57422C8.30416 4.34653 7.98784 4.19959 7.65137 4.15039L7.50684 4.13477C7.45779 4.13174 7.4043 4.13184 7.24512 4.13184H6.54981C5.87469 4.13184 5.40624 4.13238 5.04199 4.16211C4.77411 4.184 4.59362 4.21966 4.45703 4.26856L4.33399 4.32129C4.04683 4.4676 3.80618 4.69061 3.63867 4.96387L3.57129 5.08399C3.49494 5.23405 3.44124 5.43543 3.41211 5.79199C3.38238 6.15624 3.38184 6.62469 3.38184 7.29981V8.06836Z"></path></svg></div><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate">Projects</div><span class="__menu-item-badge">New</span></div></div></aside><div id="history" class=""><aside class="pt-(--sidebar-section-margin-top) last:mb-5" aria-labelledby="«rad»"><h2 class="__menu-label" id="«rad»">Chats</h2><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68d2612b-fe58-8326-ad0d-c8de2124a0ee" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">DDA ray casting help</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-0-options" aria-label="Open conversation options" type="button" id="radix-«rae»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68d259c1-b5e8-832e-9d41-a161db492e81" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">AeroPress spoon volume</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-1-options" aria-label="Open conversation options" type="button" id="radix-«rag»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68d1db4a-9c9c-8325-ad20-29f16f2f5e48" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">GPIO pins and expansion</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-2-options" aria-label="Open conversation options" type="button" id="radix-«rai»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68d1b72c-45cc-8326-8938-cf671cfbc116" 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11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68d1ac44-cb4c-8322-a659-1b91a3c34979" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Multimedia container formats</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-4-options" aria-label="Open conversation options" type="button" id="radix-«ram»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" 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9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68d17572-73b8-8329-9aec-f51f2e916639" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate" title="JavaScript bundler optimization"><span class="" dir="auto">JavaScript bundler optimization</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-6-options" aria-label="Open conversation options" type="button" id="radix-«raq»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68d07882-1f54-8326-87ad-de40c28da473" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Lerping array elements</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-7-options" aria-label="Open conversation options" type="button" id="radix-«ras»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68d0540f-e528-8331-9ab1-a86aa843a6ec" 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11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cff9ba-0050-8324-9b22-a34096768a0f" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">JavaScript 2D vector class</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-9-options" aria-label="Open conversation options" type="button" id="radix-«rb0»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" 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solution</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-11-options" aria-label="Open conversation options" type="button" id="radix-«rb4»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cecc6c-00f4-8320-be22-f4b9117edd4d" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Array size for key press</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-12-options" aria-label="Open conversation options" type="button" id="radix-«rb6»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68ce6162-3cd8-8327-b066-b71e4c79034d" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Data alignment x86-64</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-13-options" aria-label="Open conversation options" type="button" id="radix-«rb8»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cdccbc-98c4-8327-917a-a42b98208fb6" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate" title="Bidirectional word suggestions"><span class="" dir="auto">Bidirectional word suggestions</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-14-options" aria-label="Open conversation options" type="button" id="radix-«rba»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cdc48d-1c90-8323-bfcd-e1eb6d5e2e04" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Snap angle to cardinal</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-15-options" aria-label="Open conversation options" type="button" id="radix-«rbc»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cdb007-6dd8-8327-b628-a0814a95aaef" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate" title="Create orphan HTML elements"><span class="" dir="auto">Create orphan HTML elements</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-16-options" aria-label="Open conversation options" type="button" id="radix-«rbe»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cd7d29-3adc-8329-9238-f643f2f3678c" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate" title="Uint32Array optimization in JS"><span class="" dir="auto">Uint32Array optimization in JS</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-17-options" aria-label="Open conversation options" type="button" id="radix-«rbg»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cd51c5-8dfc-832c-bf49-6889b77943fd" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Angle between 2D vectors</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-18-options" aria-label="Open conversation options" type="button" id="radix-«rbi»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 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data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-19-options" aria-label="Open conversation options" type="button" id="radix-«rbk»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cc62af-d384-8328-a0c6-80173ed02c1f" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Transcode video framerate</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-20-options" aria-label="Open conversation options" type="button" id="radix-«rbm»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cc561c-1e3c-8332-9a0c-0d54b353beae" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">ROM chips sizes explained</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-21-options" aria-label="Open conversation options" type="button" id="radix-«rbo»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cc2a08-2b0c-8328-8c5b-d38e77d9fa7d" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate" title="Dungeon wall rendering techniques"><span class="" dir="auto">Dungeon wall rendering techniques</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-22-options" aria-label="Open conversation options" type="button" id="radix-«rbq»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cc03d9-ce94-8326-a41d-2db70d4667dc" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">x86-64 instruction length</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-23-options" aria-label="Open conversation options" type="button" id="radix-«rbs»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cbfdf7-9050-8328-b7a6-c58525d68d2b" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate" title="Array randomization explained"><span class="" dir="auto">Array randomization explained</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-24-options" aria-label="Open conversation options" type="button" id="radix-«rbu»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cbe9fa-6f58-8332-bb02-c714e27bf9e2" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Prettier global config setup</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-25-options" aria-label="Open conversation options" type="button" id="radix-«rc0»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cb0b51-ae44-8331-ae7c-734b98e96f04" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Random element from Set</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-26-options" aria-label="Open conversation options" type="button" id="radix-«rc2»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a><a tabindex="0" data-fill="" class="group __menu-item hoverable" draggable="true" href="https://chatgpt.com/c/68cac8cc-5c88-8323-9124-c24cd618bf29" data-discover="true"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate"><span class="" dir="auto">Fill array with class instances</span></div></div><div class="trailing-pair"><div class="trailing highlight text-token-text-tertiary"><button tabindex="0" data-trailing-button="" class="__menu-item-trailing-btn" data-testid="history-item-27-options" aria-label="Open conversation options" type="button" id="radix-«rc4»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon" aria-hidden="true"><path d="M15.498 8.50159C16.3254 8.50159 16.9959 9.17228 16.9961 9.99963C16.9961 10.8271 16.3256 11.4987 15.498 11.4987C14.6705 11.4987 14 10.8271 14 9.99963C14.0002 9.17228 14.6706 8.50159 15.498 8.50159Z"></path><path d="M4.49805 8.50159C5.32544 8.50159 5.99689 9.17228 5.99707 9.99963C5.99707 10.8271 5.32555 11.4987 4.49805 11.4987C3.67069 11.4985 3 10.827 3 9.99963C3.00018 9.17239 3.6708 8.50176 4.49805 8.50159Z"></path><path d="M10.0003 8.50159C10.8276 8.50176 11.4982 9.17239 11.4984 9.99963C11.4984 10.827 10.8277 11.4985 10.0003 11.4987C9.17283 11.4987 8.50131 10.8271 8.50131 9.99963C8.50149 9.17228 9.17294 8.50159 10.0003 8.50159Z"></path></svg></div></button></div><div class="trailing text-token-text-tertiary" tabindex="-1"></div></div></a></aside></div><div class="grow"></div><div class="sticky bottom-0 z-30 empty:hidden bg-token-bg-elevated-secondary py-1.5 group-data-scrolled-from-end/scrollport:shadow-(--sharp-edge-bottom-shadow)"><div class=""><div tabindex="0" data-fill="" data-size="large" class="group __menu-item hoverable gap-2" data-testid="accounts-profile-button" aria-label="Open profile menu" role="button" type="button" id="radix-«R95bb9aa4mj5»" aria-haspopup="menu" aria-expanded="false" data-state="closed"><div class="flex items-center justify-center group-disabled:opacity-50 group-data-disabled:opacity-50 icon-lg"><div class="flex overflow-hidden rounded-full select-none bg-gray-500/30 h-6 w-6 shrink-0"><img alt="Profile image" class="h-6 w-6 shrink-0 object-cover" referrerpolicy="no-referrer" src="./DDA ray casting help_files/AAcHTtfbKnHEkaFoi6J9RwC7MUYjiwpdPvtzazFznxj4ogyiMm__=s96-c"></div></div><div class="min-w-0"><div class="flex min-w-0 grow items-center gap-2.5 group-data-no-contents-gap:gap-0"><div class="truncate">Kim Ravn Hansen</div></div><div class="not-group-data-disabled:text-token-text-tertiary leading-dense mb-0.5 text-xs group-data-sheet-item:mt-0.5 group-data-sheet-item:mb-0"><div class="truncate" dir="auto">Free</div></div></div></div></div></div></nav></div></div></div><div class="relative flex h-full max-w-full flex-1 flex-col"><div class="draggable h-header-height bg-token-bg-primary sticky top-0 z-10 flex items-center border-transparent px-2 md:hidden [box-shadow:var(--sharp-edge-top-shadow-placeholder)]"><div class="no-draggable flex items-center justify-center"><button type="button" class="hover:text-token-text-primary touch:h-10 touch:w-10 inline-flex h-9 w-9 items-center justify-center rounded-md focus:ring-2 focus:ring-white focus:outline-hidden focus:ring-inset active:opacity-50" data-testid="open-sidebar-button" aria-expanded="false" aria-controls="stage-popover-sidebar"><span class="sr-only">Open sidebar</span><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" data-rtl-flip="" class="icon-lg text-token-text-secondary 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14.2978 4.28979 14.5449L4.39233 14.7285C4.64871 15.1465 5.01648 15.4871 5.45581 15.7109L5.65601 15.7969C5.87276 15.8743 6.14614 15.9265 6.53198 15.958C7.05439 16.0007 7.72256 16.002 8.66675 16.002H11.3337C12.2779 16.002 12.9461 16.0007 13.4685 15.958C13.9829 15.916 14.2976 15.8367 14.5447 15.7109L14.7292 15.6074C15.147 15.3511 15.4879 14.9841 15.7117 14.5449L15.7976 14.3447C15.8751 14.128 15.9272 13.8546 15.9587 13.4688C16.0014 12.9463 16.0017 12.2774 16.0017 11.333V10.833C16.0018 10.466 16.2997 10.1681 16.6667 10.168C17.0339 10.168 17.3316 10.4659 17.3318 10.833V11.333C17.3318 12.2555 17.3331 12.9879 17.2849 13.5771C17.2422 14.0993 17.1584 14.5541 16.9792 14.9717L16.8962 15.1484C16.5609 15.8066 16.0507 16.3571 15.4246 16.7412L15.1492 16.8955C14.6833 17.1329 14.1739 17.2354 13.5769 17.2842C12.9878 17.3323 12.256 17.332 11.3337 17.332H8.66675C7.74446 17.332 7.01271 17.3323 6.42358 17.2842C5.90135 17.2415 5.44665 17.1577 5.02905 16.9785L4.85229 16.8955C4.19396 16.5601 3.64271 16.0502 3.25854 15.4238L3.10425 15.1484C2.86697 14.6827 2.76534 14.1739 2.71655 13.5771C2.66841 12.9879 2.6687 12.2555 2.6687 11.333ZM13.4646 3.11328C14.4201 2.334 15.8288 2.38969 16.7195 3.28027L16.8865 3.46485C17.6141 4.35685 17.6143 5.64423 16.8865 6.53613L16.7195 6.7207L11.6726 11.7686C11.1373 12.3039 10.4624 12.6746 9.72827 12.8408L9.41089 12.8994L7.59351 13.1582C7.38637 13.1877 7.17701 13.1187 7.02905 12.9707C6.88112 12.8227 6.81199 12.6134 6.84155 12.4063L7.10132 10.5898L7.15991 10.2715C7.3262 9.53749 7.69692 8.86241 8.23218 8.32715L13.2791 3.28027L13.4646 3.11328ZM15.7791 4.2207C15.3753 3.81702 14.7366 3.79124 14.3035 4.14453L14.2195 4.2207L9.17261 9.26856C8.81541 9.62578 8.56774 10.0756 8.45679 10.5654L8.41772 10.7773L8.28296 11.7158L9.22241 11.582L9.43433 11.543C9.92426 11.432 10.3749 11.1844 10.7322 10.8271L15.7791 5.78027L15.8552 5.69629C16.185 5.29194 16.1852 4.708 15.8552 4.30371L15.7791 4.2207Z"></path></svg></a></span></div></div><div class="no-draggable bg-token-bg-primary flex w-full items-center justify-center md:hidden"></div><main class="transition-width relative h-full w-full flex-1 overflow-auto -translate-y-[calc(env(safe-area-inset-bottom,0px)/2)] pt-[calc(env(safe-area-inset-bottom,0px)/2)]" id="main" z-index="-1"><div id="thread" class="group/thread @container/thread h-full w-full"><div role="presentation" class="composer-parent flex flex-col focus-visible:outline-0 overflow-hidden h-full"><header id="page-header" class="draggable no-draggable-children sticky top-0 p-2 touch:p-2.5 flex items-center justify-between z-20 h-header-height bg-token-main-surface-primary pointer-events-none select-none [view-transition-name:var(--vt-page-header)] *:pointer-events-auto motion-safe:transition max-md:hidden thread-xl:absolute thread-xl:start-0 thread-xl:end-0 thread-xl:shadow-none! thread-xl:bg-transparent [box-shadow:var(--sharp-edge-top-shadow-placeholder)]"><div class="absolute start-1/2 ltr:-translate-x-1/2 rtl:translate-x-1/2"></div><div class="flex items-center"><button aria-label="Model selector, current model is 5" type="button" id="radix-«r3»" aria-haspopup="menu" aria-expanded="false" data-state="closed" data-testid="model-switcher-dropdown-button" class="group flex cursor-pointer justify-center items-center gap-1 rounded-lg min-h-9 touch:min-h-10 px-2.5 text-lg hover:bg-token-surface-hover focus-visible:bg-token-surface-hover font-normal whitespace-nowrap focus-visible:outline-none" style="view-transition-name: var(--vt-thread-model-switcher);"><div>ChatGPT</div><svg width="16" height="16" viewBox="0 0 16 16" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon-sm text-token-text-tertiary"><path d="M12.1338 5.94433C12.3919 5.77382 12.7434 5.80202 12.9707 6.02929C13.1979 6.25656 13.2261 6.60807 13.0556 6.8662L12.9707 6.9707L8.47067 11.4707C8.21097 11.7304 7.78896 11.7304 7.52926 11.4707L3.02926 6.9707L2.9443 6.8662C2.77379 6.60807 2.80199 6.25656 3.02926 6.02929C3.25653 5.80202 3.60804 5.77382 3.86617 5.94433L3.97067 6.02929L7.99996 10.0586L12.0293 6.02929L12.1338 5.94433Z"></path></svg></button></div><div class="flex items-center"><div class="flex items-center" id="conversation-header-actions"><div class="flex items-center"></div></div></div></header><div class="relative basis-auto flex-col -mb-(--composer-overlap-px) [--composer-overlap-px:28px] grow flex overflow-hidden"><div class="relative h-full" style="--pip-widget-height: 0px;"><div class="flex h-full flex-col overflow-y-auto thread-xl:pt-(--header-height) [scrollbar-gutter:stable_both-edges]"><div aria-hidden="true" data-edge="true" class="pointer-events-none h-px w-px"></div><div class="flex flex-col text-sm thread-xl:pt-header-height pb-25"><div class="[--thread-content-max-width:40rem] thread-lg:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1"><p class="text-xs text-gray-500">This is a copy of a conversation between ChatGPT &amp; Anonymous.</p></div><div class="text-token-text-primary mb-5 text-center text-xs font-semibold"><button>Report conversation</button></div><article class="text-token-text-primary w-full focus:outline-none scroll-mt-(--header-height)" tabindex="-1" dir="auto" data-turn-id="7549d1ac-8e4e-4807-ad10-f47d5a504b02" data-testid="conversation-turn-1" data-scroll-anchor="false" data-turn="user"><h5 class="sr-only">You said:</h5><div class="text-base my-auto mx-auto pt-3 [--thread-content-margin:--spacing(4)] thread-sm:[--thread-content-margin:--spacing(6)] thread-lg:[--thread-content-margin:--spacing(16)] px-(--thread-content-margin)"><div class="[--thread-content-max-width:40rem] thread-lg:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden mb-10 relative flex w-full min-w-0 flex-col" tabindex="-1"><div class="flex max-w-full flex-col grow"><div data-message-author-role="user" data-message-id="7549d1ac-8e4e-4807-ad10-f47d5a504b02" dir="auto" class="min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal [.text-message+&amp;]:mt-5"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="user-message-bubble-color relative rounded-[18px] px-4 py-1.5 data-[multiline]:py-3 max-w-[var(--user-chat-width,70%)]" data-multiline=""><div class="whitespace-pre-wrap">Im making a dungeon crawler where all the walls are guaranteed to be tile-aligned. It's wolfensteil graphics, so no need for real ray tracing, only vertical ray casting in 2d. Can you help me make a fast javascript ray-caster that does not just increment the rays a tiny bit every time. I think the algorithm may be called DDA. I also need to know where on the wall the ray hits, so I can apply the correct texture</div></div></div></div></div></div></div></article><article class="text-token-text-primary w-full focus:outline-none scroll-mt-[calc(var(--header-height)+min(200px,max(70px,20svh)))]" tabindex="-1" dir="auto" data-turn-id="f76486b6-497c-4f56-b1e4-3d2437ca3d05" data-testid="conversation-turn-2" data-scroll-anchor="false" data-turn="assistant"><h6 class="sr-only">ChatGPT said:</h6><div class="text-base my-auto mx-auto [--thread-content-margin:--spacing(4)] thread-sm:[--thread-content-margin:--spacing(6)] thread-lg:[--thread-content-margin:--spacing(16)] px-(--thread-content-margin)"><div class="[--thread-content-max-width:40rem] thread-lg:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col agent-turn" tabindex="-1"><div class="flex max-w-full flex-col grow"><div data-message-author-role="assistant" data-message-id="68303506-ea01-4aff-95b8-b7bbd6e17d20" dir="auto" class="min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal [.text-message+&amp;]:mt-5" data-message-model-slug="gpt-5"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose dark:prose-invert w-full break-words light markdown-new-styling"><p data-start="0" data-end="171">Yes — you’re talking about the <strong data-start="31" data-end="70">DDA (Digital Differential Analyzer)</strong> algorithm, which is the standard way to do fast 2D grid ray casting for Wolfenstein-style engines.</p>
<p data-start="173" data-end="368">The idea: instead of stepping pixel by pixel, you compute how far you need to go to reach the <em data-start="267" data-end="282">next vertical</em> or <em data-start="286" data-end="303">next horizontal</em> grid line, then keep stepping grid-by-grid until you hit a wall.</p>
<p data-start="370" data-end="421">Here’s a compact JavaScript implementation outline:</p>
<pre class="overflow-visible!" data-start="423" data-end="2633"><div class="contain-inline-size rounded-2xl relative bg-token-sidebar-surface-primary"><div class="flex items-center text-token-text-secondary px-4 py-2 text-xs font-sans justify-between h-9 bg-token-sidebar-surface-primary select-none rounded-t-2xl">js</div><div class="sticky top-9"><div class="absolute end-0 bottom-0 flex h-9 items-center pe-2"><div class="bg-token-bg-elevated-secondary text-token-text-secondary flex items-center gap-4 rounded-sm px-2 font-sans text-xs"><button class="flex gap-1 items-center select-none py-1" aria-label="Copy"><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon-sm"><path d="M12.668 10.667C12.668 9.95614 12.668 9.46258 12.6367 9.0791C12.6137 8.79732 12.5758 8.60761 12.5244 8.46387L12.4688 8.33399C12.3148 8.03193 12.0803 7.77885 11.793 7.60254L11.666 7.53125C11.508 7.45087 11.2963 7.39395 10.9209 7.36328C10.5374 7.33197 10.0439 7.33203 9.33301 7.33203H6.5C5.78896 7.33203 5.29563 7.33195 4.91211 7.36328C4.63016 7.38632 4.44065 7.42413 4.29688 7.47559L4.16699 7.53125C3.86488 7.68518 3.61186 7.9196 3.43555 8.20703L3.36524 8.33399C3.28478 8.49198 3.22795 8.70352 3.19727 9.0791C3.16595 9.46259 3.16504 9.95611 3.16504 10.667V13.5C3.16504 14.211 3.16593 14.7044 3.19727 15.0879C3.22797 15.4636 3.28473 15.675 3.36524 15.833L3.43555 15.959C3.61186 16.2466 3.86474 16.4807 4.16699 16.6348L4.29688 16.6914C4.44063 16.7428 4.63025 16.7797 4.91211 16.8027C5.29563 16.8341 5.78896 16.835 6.5 16.835H9.33301C10.0439 16.835 10.5374 16.8341 10.9209 16.8027C11.2965 16.772 11.508 16.7152 11.666 16.6348L11.793 16.5645C12.0804 16.3881 12.3148 16.1351 12.4688 15.833L12.5244 15.7031C12.5759 15.5594 12.6137 15.3698 12.6367 15.0879C12.6681 14.7044 12.668 14.211 12.668 13.5V10.667ZM13.998 12.665C14.4528 12.6634 14.8011 12.6602 15.0879 12.6367C15.4635 12.606 15.675 12.5492 15.833 12.4688L15.959 12.3975C16.2466 12.2211 16.4808 11.9682 16.6348 11.666L16.6914 11.5361C16.7428 11.3924 16.7797 11.2026 16.8027 10.9209C16.8341 10.5374 16.835 10.0439 16.835 9.33301V6.5C16.835 5.78896 16.8341 5.29563 16.8027 4.91211C16.7797 4.63025 16.7428 4.44063 16.6914 4.29688L16.6348 4.16699C16.4807 3.86474 16.2466 3.61186 15.959 3.43555L15.833 3.36524C15.675 3.28473 15.4636 3.22797 15.0879 3.19727C14.7044 3.16593 14.211 3.16504 13.5 3.16504H10.667C9.9561 3.16504 9.46259 3.16595 9.0791 3.19727C8.79739 3.22028 8.6076 3.2572 8.46387 3.30859L8.33399 3.36524C8.03176 3.51923 7.77886 3.75343 7.60254 4.04102L7.53125 4.16699C7.4508 4.32498 7.39397 4.53655 7.36328 4.91211C7.33985 5.19893 7.33562 5.54719 7.33399 6.00195H9.33301C10.022 6.00195 10.5791 6.00131 11.0293 6.03809C11.4873 6.07551 11.8937 6.15471 12.2705 6.34668L12.4883 6.46875C12.984 6.7728 13.3878 7.20854 13.6533 7.72949L13.7197 7.87207C13.8642 8.20859 13.9292 8.56974 13.9619 8.9707C13.9987 9.42092 13.998 9.97799 13.998 10.667V12.665ZM18.165 9.33301C18.165 10.022 18.1657 10.5791 18.1289 11.0293C18.0961 11.4302 18.0311 11.7914 17.8867 12.1279L17.8203 12.2705C17.5549 12.7914 17.1509 13.2272 16.6553 13.5313L16.4365 13.6533C16.0599 13.8452 15.6541 13.9245 15.1963 13.9619C14.8593 13.9895 14.4624 13.9935 13.9951 13.9951C13.9935 14.4624 13.9895 14.8593 13.9619 15.1963C13.9292 15.597 13.864 15.9576 13.7197 16.2939L13.6533 16.4365C13.3878 16.9576 12.9841 17.3941 12.4883 17.6982L12.2705 17.8203C11.8937 18.0123 11.4873 18.0915 11.0293 18.1289C10.5791 18.1657 10.022 18.165 9.33301 18.165H6.5C5.81091 18.165 5.25395 18.1657 4.80371 18.1289C4.40306 18.0962 4.04235 18.031 3.70606 17.8867L3.56348 17.8203C3.04244 17.5548 2.60585 17.151 2.30176 16.6553L2.17969 16.4365C1.98788 16.0599 1.90851 15.6541 1.87109 15.1963C1.83431 14.746 1.83496 14.1891 1.83496 13.5V10.667C1.83496 9.978 1.83432 9.42091 1.87109 8.9707C1.90851 8.5127 1.98772 8.10625 2.17969 7.72949L2.30176 7.51172C2.60586 7.0159 3.04236 6.6122 3.56348 6.34668L3.70606 6.28027C4.04237 6.136 4.40303 6.07083 4.80371 6.03809C5.14051 6.01057 5.53708 6.00551 6.00391 6.00391C6.00551 5.53708 6.01057 5.14051 6.03809 4.80371C6.0755 4.34588 6.15483 3.94012 6.34668 3.56348L6.46875 3.34473C6.77282 2.84912 7.20856 2.44514 7.72949 2.17969L7.87207 2.11328C8.20855 1.96886 8.56979 1.90385 8.9707 1.87109C9.42091 1.83432 9.978 1.83496 10.667 1.83496H13.5C14.1891 1.83496 14.746 1.83431 15.1963 1.87109C15.6541 1.90851 16.0599 1.98788 16.4365 2.17969L16.6553 2.30176C17.151 2.60585 17.5548 3.04244 17.8203 3.56348L17.8867 3.70606C18.031 4.04235 18.0962 4.40306 18.1289 4.80371C18.1657 5.25395 18.165 5.81091 18.165 6.5V9.33301Z"></path></svg>Copy code</button></div></div></div><div class="overflow-y-auto p-4" dir="ltr"><code class="whitespace-pre! language-js"><span><span><span class="hljs-comment">// grid: 2D array of 0 = empty, 1 = wall</span></span><span>
</span><span><span class="hljs-comment">// posX, posY: player position in map coords (floats, tile units)</span></span><span>
</span><span><span class="hljs-comment">// dirX, dirY: ray direction (normalized vector)</span></span><span>
</span><span><span class="hljs-comment">// maxDist: optional cutoff distance</span></span><span>
</span><span><span class="hljs-keyword">function</span></span><span> </span><span><span class="hljs-title function_">castRay</span></span><span>(</span><span><span class="hljs-params">grid, posX, posY, dirX, dirY, maxDist = <span class="hljs-number">100</span></span></span><span>) {
</span><span><span class="hljs-keyword">const</span></span><span> mapWidth = grid[</span><span><span class="hljs-number">0</span></span><span>].</span><span><span class="hljs-property">length</span></span><span>;
</span><span><span class="hljs-keyword">const</span></span><span> mapHeight = grid.</span><span><span class="hljs-property">length</span></span><span>;
</span><span><span class="hljs-comment">// Current map square</span></span><span>
</span><span><span class="hljs-keyword">let</span></span><span> mapX = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">floor</span></span><span>(posX);
</span><span><span class="hljs-keyword">let</span></span><span> mapY = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">floor</span></span><span>(posY);
</span><span><span class="hljs-comment">// Length of ray from one x or y-side to next x or y-side</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> deltaDistX = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">abs</span></span><span>(</span><span><span class="hljs-number">1</span></span><span> / dirX);
</span><span><span class="hljs-keyword">const</span></span><span> deltaDistY = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">abs</span></span><span>(</span><span><span class="hljs-number">1</span></span><span> / dirY);
</span><span><span class="hljs-comment">// Step direction (+1 or -1) and initial sideDist</span></span><span>
</span><span><span class="hljs-keyword">let</span></span><span> stepX, stepY;
</span><span><span class="hljs-keyword">let</span></span><span> sideDistX, sideDistY;
</span><span><span class="hljs-keyword">if</span></span><span> (dirX &lt; </span><span><span class="hljs-number">0</span></span><span>) {
stepX = -</span><span><span class="hljs-number">1</span></span><span>;
sideDistX = (posX - mapX) * deltaDistX;
} </span><span><span class="hljs-keyword">else</span></span><span> {
stepX = </span><span><span class="hljs-number">1</span></span><span>;
sideDistX = (mapX + </span><span><span class="hljs-number">1.0</span></span><span> - posX) * deltaDistX;
}
</span><span><span class="hljs-keyword">if</span></span><span> (dirY &lt; </span><span><span class="hljs-number">0</span></span><span>) {
stepY = -</span><span><span class="hljs-number">1</span></span><span>;
sideDistY = (posY - mapY) * deltaDistY;
} </span><span><span class="hljs-keyword">else</span></span><span> {
stepY = </span><span><span class="hljs-number">1</span></span><span>;
sideDistY = (mapY + </span><span><span class="hljs-number">1.0</span></span><span> - posY) * deltaDistY;
}
</span><span><span class="hljs-keyword">let</span></span><span> hit = </span><span><span class="hljs-literal">false</span></span><span>;
</span><span><span class="hljs-keyword">let</span></span><span> side = </span><span><span class="hljs-number">0</span></span><span>; </span><span><span class="hljs-comment">// 0 = hit x-side, 1 = hit y-side</span></span><span>
</span><span><span class="hljs-comment">// DDA loop</span></span><span>
</span><span><span class="hljs-keyword">while</span></span><span> (!hit) {
</span><span><span class="hljs-keyword">if</span></span><span> (sideDistX &lt; sideDistY) {
sideDistX += deltaDistX;
mapX += stepX;
side = </span><span><span class="hljs-number">0</span></span><span>;
} </span><span><span class="hljs-keyword">else</span></span><span> {
sideDistY += deltaDistY;
mapY += stepY;
side = </span><span><span class="hljs-number">1</span></span><span>;
}
</span><span><span class="hljs-comment">// Check for out of bounds</span></span><span>
</span><span><span class="hljs-keyword">if</span></span><span> (mapX &lt; </span><span><span class="hljs-number">0</span></span><span> || mapX &gt;= mapWidth || mapY &lt; </span><span><span class="hljs-number">0</span></span><span> || mapY &gt;= mapHeight) {
</span><span><span class="hljs-keyword">return</span></span><span> </span><span><span class="hljs-literal">null</span></span><span>; </span><span><span class="hljs-comment">// no hit</span></span><span>
}
</span><span><span class="hljs-comment">// Check if ray hit a wall</span></span><span>
</span><span><span class="hljs-keyword">if</span></span><span> (grid[mapY][mapX] &gt; </span><span><span class="hljs-number">0</span></span><span>) hit = </span><span><span class="hljs-literal">true</span></span><span>;
</span><span><span class="hljs-keyword">if</span></span><span> (</span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">min</span></span><span>(sideDistX, sideDistY) &gt; maxDist) </span><span><span class="hljs-keyword">return</span></span><span> </span><span><span class="hljs-literal">null</span></span><span>;
}
</span><span><span class="hljs-comment">// Calculate distance to wall</span></span><span>
</span><span><span class="hljs-keyword">let</span></span><span> perpWallDist;
</span><span><span class="hljs-keyword">if</span></span><span> (side === </span><span><span class="hljs-number">0</span></span><span>) {
perpWallDist = (mapX - posX + (</span><span><span class="hljs-number">1</span></span><span> - stepX) / </span><span><span class="hljs-number">2</span></span><span>) / dirX;
} </span><span><span class="hljs-keyword">else</span></span><span> {
perpWallDist = (mapY - posY + (</span><span><span class="hljs-number">1</span></span><span> - stepY) / </span><span><span class="hljs-number">2</span></span><span>) / dirY;
}
</span><span><span class="hljs-comment">// Where on the wall did we hit? (texture coordinate)</span></span><span>
</span><span><span class="hljs-keyword">let</span></span><span> wallX;
</span><span><span class="hljs-keyword">if</span></span><span> (side === </span><span><span class="hljs-number">0</span></span><span>) {
wallX = posY + perpWallDist * dirY;
} </span><span><span class="hljs-keyword">else</span></span><span> {
wallX = posX + perpWallDist * dirX;
}
wallX -= </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">floor</span></span><span>(wallX); </span><span><span class="hljs-comment">// fractional part only [0..1)</span></span><span>
</span><span><span class="hljs-keyword">return</span></span><span> {
mapX, mapY, </span><span><span class="hljs-comment">// tile coords</span></span><span>
side, </span><span><span class="hljs-comment">// hit vertical or horizontal wall</span></span><span>
</span><span><span class="hljs-attr">distance</span></span><span>: perpWallDist,
</span><span><span class="hljs-attr">textureX</span></span><span>: wallX </span><span><span class="hljs-comment">// use this to index into texture</span></span><span>
};
}
</span></span></code></div></div></pre>
<h3 data-start="2635" data-end="2650">Key points:</h3>
<ul data-start="2651" data-end="2937">
<li data-start="2651" data-end="2734">
<p data-start="2653" data-end="2734"><strong data-start="2653" data-end="2669">DDA stepping</strong> means you only move to the next grid line each time → very fast.</p>
</li>
<li data-start="2735" data-end="2842">
<p data-start="2737" data-end="2842"><code data-start="2737" data-end="2743">side</code> tells you if you hit a vertical or horizontal wall (so you can darken one side for fake lighting).</p>
</li>
<li data-start="2843" data-end="2937">
<p data-start="2845" data-end="2937"><code data-start="2845" data-end="2855">textureX</code> gives you the fractional offset into the wall tile (for correct texture mapping).</p>
</li>
</ul>
<p data-start="2939" data-end="2997">👉 Then in your renderer, for each vertical screen stripe:</p>
<ol data-start="2998" data-end="3186">
<li data-start="2998" data-end="3051">
<p data-start="3001" data-end="3051">Compute the ray direction from the camera plane.</p>
</li>
<li data-start="3052" data-end="3072">
<p data-start="3055" data-end="3072">Call <code data-start="3060" data-end="3069">castRay</code>.</p>
</li>
<li data-start="3073" data-end="3120">
<p data-start="3076" data-end="3120">Use <code data-start="3080" data-end="3090">distance</code> to determine column height.</p>
</li>
<li data-start="3121" data-end="3186">
<p data-start="3124" data-end="3186">Use <code data-start="3128" data-end="3138">textureX</code> to select the right column from your texture.</p>
</li>
</ol>
<p data-start="3188" data-end="3379" data-is-last-node="" data-is-only-node="">Do you want me to also show you how to set up the <strong data-start="3238" data-end="3286">main loop that casts all rays for the screen</strong> (like Wolfenstein’s projection plane math), or are you mainly looking for just the DDA core?</p></div></div></div></div></div></div></article><article class="text-token-text-primary w-full focus:outline-none scroll-mt-(--header-height)" tabindex="-1" dir="auto" data-turn-id="be919609-5269-4490-aabb-338ea79d8832" data-testid="conversation-turn-3" data-scroll-anchor="false" data-turn="user"><h5 class="sr-only">You said:</h5><div class="text-base my-auto mx-auto pt-12 [--thread-content-margin:--spacing(4)] thread-sm:[--thread-content-margin:--spacing(6)] thread-lg:[--thread-content-margin:--spacing(16)] px-(--thread-content-margin)"><div class="[--thread-content-max-width:40rem] thread-lg:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden mb-10 relative flex w-full min-w-0 flex-col" tabindex="-1"><div class="flex max-w-full flex-col grow"><div data-message-author-role="user" data-message-id="be919609-5269-4490-aabb-338ea79d8832" dir="auto" class="min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal [.text-message+&amp;]:mt-5"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="user-message-bubble-color relative rounded-[18px] px-4 py-1.5 data-[multiline]:py-3 max-w-[var(--user-chat-width,70%)]"><div class="whitespace-pre-wrap">yes please</div></div></div></div></div></div></div></article><article class="text-token-text-primary w-full focus:outline-none scroll-mt-[calc(var(--header-height)+min(200px,max(70px,20svh)))]" tabindex="-1" dir="auto" data-turn-id="24e67284-5568-4fc8-bb6b-0d2e73575e85" data-testid="conversation-turn-4" data-scroll-anchor="true" data-turn="assistant"><h6 class="sr-only">ChatGPT said:</h6><div class="text-base my-auto mx-auto pb-10 [--thread-content-margin:--spacing(4)] thread-sm:[--thread-content-margin:--spacing(6)] thread-lg:[--thread-content-margin:--spacing(16)] px-(--thread-content-margin)"><div class="[--thread-content-max-width:40rem] thread-lg:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col agent-turn" tabindex="-1"><div class="flex max-w-full flex-col grow"><div data-message-author-role="assistant" data-message-id="24e67284-5568-4fc8-bb6b-0d2e73575e85" dir="auto" class="min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal [.text-message+&amp;]:mt-5" data-message-model-slug="gpt-5"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose dark:prose-invert w-full break-words light markdown-new-styling"><p data-start="0" data-end="94">Perfect — let’s wire the <strong data-start="25" data-end="43">DDA ray-caster</strong> into a full “Wolfenstein” style projection loop.</p>
<p data-start="96" data-end="121">The basic camera model:</p>
<ul data-start="122" data-end="381">
<li data-start="122" data-end="201">
<p data-start="124" data-end="201">Player has a position <code data-start="146" data-end="160">(posX, posY)</code> and a direction vector <code data-start="184" data-end="198">(dirX, dirY)</code>.</p>
</li>
<li data-start="202" data-end="381">
<p data-start="204" data-end="303">You also need a perpendicular <strong data-start="234" data-end="250">camera plane</strong> <code data-start="251" data-end="269">(planeX, planeY)</code> that defines the field of view.</p>
<ul data-start="306" data-end="381">
<li data-start="306" data-end="381">
<p data-start="308" data-end="381">Typical setup: <code data-start="323" data-end="339">dirX=1, dirY=0</code> and <code data-start="344" data-end="367">planeX=0, planeY=0.66</code> → ~66° FOV.</p>
</li>
</ul>
</li>
</ul>
<p data-start="383" data-end="491">Then, for each screen column <code data-start="412" data-end="415">x</code>, you build a ray direction, cast it with DDA, and draw the vertical stripe.</p>
<p data-start="493" data-end="525">Here’s a skeleton in JavaScript:</p>
<pre class="overflow-visible!" data-start="527" data-end="2648"><div class="contain-inline-size rounded-2xl relative bg-token-sidebar-surface-primary"><div class="flex items-center text-token-text-secondary px-4 py-2 text-xs font-sans justify-between h-9 bg-token-sidebar-surface-primary select-none rounded-t-2xl">js</div><div class="sticky top-9"><div class="absolute end-0 bottom-0 flex h-9 items-center pe-2"><div class="bg-token-bg-elevated-secondary text-token-text-secondary flex items-center gap-4 rounded-sm px-2 font-sans text-xs"><button class="flex gap-1 items-center select-none py-1" aria-label="Copy"><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon-sm"><path d="M12.668 10.667C12.668 9.95614 12.668 9.46258 12.6367 9.0791C12.6137 8.79732 12.5758 8.60761 12.5244 8.46387L12.4688 8.33399C12.3148 8.03193 12.0803 7.77885 11.793 7.60254L11.666 7.53125C11.508 7.45087 11.2963 7.39395 10.9209 7.36328C10.5374 7.33197 10.0439 7.33203 9.33301 7.33203H6.5C5.78896 7.33203 5.29563 7.33195 4.91211 7.36328C4.63016 7.38632 4.44065 7.42413 4.29688 7.47559L4.16699 7.53125C3.86488 7.68518 3.61186 7.9196 3.43555 8.20703L3.36524 8.33399C3.28478 8.49198 3.22795 8.70352 3.19727 9.0791C3.16595 9.46259 3.16504 9.95611 3.16504 10.667V13.5C3.16504 14.211 3.16593 14.7044 3.19727 15.0879C3.22797 15.4636 3.28473 15.675 3.36524 15.833L3.43555 15.959C3.61186 16.2466 3.86474 16.4807 4.16699 16.6348L4.29688 16.6914C4.44063 16.7428 4.63025 16.7797 4.91211 16.8027C5.29563 16.8341 5.78896 16.835 6.5 16.835H9.33301C10.0439 16.835 10.5374 16.8341 10.9209 16.8027C11.2965 16.772 11.508 16.7152 11.666 16.6348L11.793 16.5645C12.0804 16.3881 12.3148 16.1351 12.4688 15.833L12.5244 15.7031C12.5759 15.5594 12.6137 15.3698 12.6367 15.0879C12.6681 14.7044 12.668 14.211 12.668 13.5V10.667ZM13.998 12.665C14.4528 12.6634 14.8011 12.6602 15.0879 12.6367C15.4635 12.606 15.675 12.5492 15.833 12.4688L15.959 12.3975C16.2466 12.2211 16.4808 11.9682 16.6348 11.666L16.6914 11.5361C16.7428 11.3924 16.7797 11.2026 16.8027 10.9209C16.8341 10.5374 16.835 10.0439 16.835 9.33301V6.5C16.835 5.78896 16.8341 5.29563 16.8027 4.91211C16.7797 4.63025 16.7428 4.44063 16.6914 4.29688L16.6348 4.16699C16.4807 3.86474 16.2466 3.61186 15.959 3.43555L15.833 3.36524C15.675 3.28473 15.4636 3.22797 15.0879 3.19727C14.7044 3.16593 14.211 3.16504 13.5 3.16504H10.667C9.9561 3.16504 9.46259 3.16595 9.0791 3.19727C8.79739 3.22028 8.6076 3.2572 8.46387 3.30859L8.33399 3.36524C8.03176 3.51923 7.77886 3.75343 7.60254 4.04102L7.53125 4.16699C7.4508 4.32498 7.39397 4.53655 7.36328 4.91211C7.33985 5.19893 7.33562 5.54719 7.33399 6.00195H9.33301C10.022 6.00195 10.5791 6.00131 11.0293 6.03809C11.4873 6.07551 11.8937 6.15471 12.2705 6.34668L12.4883 6.46875C12.984 6.7728 13.3878 7.20854 13.6533 7.72949L13.7197 7.87207C13.8642 8.20859 13.9292 8.56974 13.9619 8.9707C13.9987 9.42092 13.998 9.97799 13.998 10.667V12.665ZM18.165 9.33301C18.165 10.022 18.1657 10.5791 18.1289 11.0293C18.0961 11.4302 18.0311 11.7914 17.8867 12.1279L17.8203 12.2705C17.5549 12.7914 17.1509 13.2272 16.6553 13.5313L16.4365 13.6533C16.0599 13.8452 15.6541 13.9245 15.1963 13.9619C14.8593 13.9895 14.4624 13.9935 13.9951 13.9951C13.9935 14.4624 13.9895 14.8593 13.9619 15.1963C13.9292 15.597 13.864 15.9576 13.7197 16.2939L13.6533 16.4365C13.3878 16.9576 12.9841 17.3941 12.4883 17.6982L12.2705 17.8203C11.8937 18.0123 11.4873 18.0915 11.0293 18.1289C10.5791 18.1657 10.022 18.165 9.33301 18.165H6.5C5.81091 18.165 5.25395 18.1657 4.80371 18.1289C4.40306 18.0962 4.04235 18.031 3.70606 17.8867L3.56348 17.8203C3.04244 17.5548 2.60585 17.151 2.30176 16.6553L2.17969 16.4365C1.98788 16.0599 1.90851 15.6541 1.87109 15.1963C1.83431 14.746 1.83496 14.1891 1.83496 13.5V10.667C1.83496 9.978 1.83432 9.42091 1.87109 8.9707C1.90851 8.5127 1.98772 8.10625 2.17969 7.72949L2.30176 7.51172C2.60586 7.0159 3.04236 6.6122 3.56348 6.34668L3.70606 6.28027C4.04237 6.136 4.40303 6.07083 4.80371 6.03809C5.14051 6.01057 5.53708 6.00551 6.00391 6.00391C6.00551 5.53708 6.01057 5.14051 6.03809 4.80371C6.0755 4.34588 6.15483 3.94012 6.34668 3.56348L6.46875 3.34473C6.77282 2.84912 7.20856 2.44514 7.72949 2.17969L7.87207 2.11328C8.20855 1.96886 8.56979 1.90385 8.9707 1.87109C9.42091 1.83432 9.978 1.83496 10.667 1.83496H13.5C14.1891 1.83496 14.746 1.83431 15.1963 1.87109C15.6541 1.90851 16.0599 1.98788 16.4365 2.17969L16.6553 2.30176C17.151 2.60585 17.5548 3.04244 17.8203 3.56348L17.8867 3.70606C18.031 4.04235 18.0962 4.40306 18.1289 4.80371C18.1657 5.25395 18.165 5.81091 18.165 6.5V9.33301Z"></path></svg>Copy code</button></div></div></div><div class="overflow-y-auto p-4" dir="ltr"><code class="whitespace-pre! language-js"><span><span><span class="hljs-keyword">function</span></span><span> </span><span><span class="hljs-title function_">renderFrame</span></span><span>(</span><span><span class="hljs-params">ctx, screenWidth, screenHeight, grid, posX, posY, dirX, dirY, planeX, planeY, textures</span></span><span>) {
</span><span><span class="hljs-keyword">for</span></span><span> (</span><span><span class="hljs-keyword">let</span></span><span> x = </span><span><span class="hljs-number">0</span></span><span>; x &lt; screenWidth; x++) {
</span><span><span class="hljs-comment">// cameraX: -1 on left side, +1 on right side of screen</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> cameraX = </span><span><span class="hljs-number">2</span></span><span> * x / screenWidth - </span><span><span class="hljs-number">1</span></span><span>;
</span><span><span class="hljs-keyword">const</span></span><span> rayDirX = dirX + planeX * cameraX;
</span><span><span class="hljs-keyword">const</span></span><span> rayDirY = dirY + planeY * cameraX;
</span><span><span class="hljs-comment">// Cast ray using our DDA function</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> hit = </span><span><span class="hljs-title function_">castRay</span></span><span>(grid, posX, posY, rayDirX, rayDirY);
</span><span><span class="hljs-keyword">if</span></span><span> (!hit) </span><span><span class="hljs-keyword">continue</span></span><span>; </span><span><span class="hljs-comment">// nothing hit (out of bounds)</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> { distance, side, textureX, mapX, mapY } = hit;
</span><span><span class="hljs-comment">// Projected wall height (avoid div by zero)</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> lineHeight = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">floor</span></span><span>(screenHeight / (distance || </span><span><span class="hljs-number">0.0001</span></span><span>));
</span><span><span class="hljs-comment">// Draw start and end of wall stripe</span></span><span>
</span><span><span class="hljs-keyword">let</span></span><span> drawStart = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">floor</span></span><span>(-lineHeight / </span><span><span class="hljs-number">2</span></span><span> + screenHeight / </span><span><span class="hljs-number">2</span></span><span>);
</span><span><span class="hljs-keyword">let</span></span><span> drawEnd = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">floor</span></span><span>(lineHeight / </span><span><span class="hljs-number">2</span></span><span> + screenHeight / </span><span><span class="hljs-number">2</span></span><span>);
</span><span><span class="hljs-keyword">if</span></span><span> (drawStart &lt; </span><span><span class="hljs-number">0</span></span><span>) drawStart = </span><span><span class="hljs-number">0</span></span><span>;
</span><span><span class="hljs-keyword">if</span></span><span> (drawEnd &gt;= screenHeight) drawEnd = screenHeight - </span><span><span class="hljs-number">1</span></span><span>;
</span><span><span class="hljs-comment">// Pick texture (here grid value decides which texture)</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> tex = textures[grid[mapY][mapX] % textures.</span><span><span class="hljs-property">length</span></span><span>];
</span><span><span class="hljs-keyword">const</span></span><span> texWidth = tex.</span><span><span class="hljs-property">width</span></span><span>, texHeight = tex.</span><span><span class="hljs-property">height</span></span><span>;
</span><span><span class="hljs-comment">// X coord on texture</span></span><span>
</span><span><span class="hljs-keyword">let</span></span><span> texX = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">floor</span></span><span>(textureX * texWidth);
</span><span><span class="hljs-keyword">if</span></span><span> (side === </span><span><span class="hljs-number">0</span></span><span> &amp;&amp; rayDirX &gt; </span><span><span class="hljs-number">0</span></span><span>) texX = texWidth - texX - </span><span><span class="hljs-number">1</span></span><span>;
</span><span><span class="hljs-keyword">if</span></span><span> (side === </span><span><span class="hljs-number">1</span></span><span> &amp;&amp; rayDirY &lt; </span><span><span class="hljs-number">0</span></span><span>) texX = texWidth - texX - </span><span><span class="hljs-number">1</span></span><span>;
</span><span><span class="hljs-comment">// Draw vertical stripe from texture</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> column = ctx.</span><span><span class="hljs-title function_">getImageData</span></span><span>(texX, </span><span><span class="hljs-number">0</span></span><span>, </span><span><span class="hljs-number">1</span></span><span>, texHeight); </span><span><span class="hljs-comment">// one column</span></span><span>
</span><span><span class="hljs-keyword">for</span></span><span> (</span><span><span class="hljs-keyword">let</span></span><span> y = drawStart; y &lt; drawEnd; y++) {
</span><span><span class="hljs-comment">// Map screen y to texture y</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> d = y * </span><span><span class="hljs-number">256</span></span><span> - screenHeight * </span><span><span class="hljs-number">128</span></span><span> + lineHeight * </span><span><span class="hljs-number">128</span></span><span>;
</span><span><span class="hljs-keyword">const</span></span><span> texY = </span><span><span class="hljs-title class_">Math</span></span><span>.</span><span><span class="hljs-title function_">floor</span></span><span>(((d * texHeight) / lineHeight) / </span><span><span class="hljs-number">256</span></span><span>);
</span><span><span class="hljs-keyword">const</span></span><span> texIndex = (texY * texWidth + texX) * </span><span><span class="hljs-number">4</span></span><span>;
</span><span><span class="hljs-keyword">const</span></span><span> r = column.</span><span><span class="hljs-property">data</span></span><span>[texIndex];
</span><span><span class="hljs-keyword">const</span></span><span> g = column.</span><span><span class="hljs-property">data</span></span><span>[texIndex + </span><span><span class="hljs-number">1</span></span><span>];
</span><span><span class="hljs-keyword">const</span></span><span> b = column.</span><span><span class="hljs-property">data</span></span><span>[texIndex + </span><span><span class="hljs-number">2</span></span><span>];
</span><span><span class="hljs-keyword">const</span></span><span> a = column.</span><span><span class="hljs-property">data</span></span><span>[texIndex + </span><span><span class="hljs-number">3</span></span><span>];
</span><span><span class="hljs-comment">// Simple shading: darken if y-side</span></span><span>
</span><span><span class="hljs-keyword">const</span></span><span> shade = side === </span><span><span class="hljs-number">1</span></span><span> ? </span><span><span class="hljs-number">0.7</span></span><span> : </span><span><span class="hljs-number">1.0</span></span><span>;
ctx.</span><span><span class="hljs-property">fillStyle</span></span><span> = </span><span><span class="hljs-string">`rgba(<span class="hljs-subst">${r * shade}</span></span></span><span>, </span><span><span class="hljs-subst">${g * shade}</span></span><span>, </span><span><span class="hljs-subst">${b * shade}</span></span><span>, </span><span><span class="hljs-subst">${a / <span class="hljs-number">255</span></span></span><span>})`;
ctx.</span><span><span class="hljs-title function_">fillRect</span></span><span>(x, y, </span><span><span class="hljs-number">1</span></span><span>, </span><span><span class="hljs-number">1</span></span><span>);
}
}
}
</span></span></code></div></div></pre>
<h3 data-start="2650" data-end="2671">What’s happening:</h3>
<ol data-start="2672" data-end="3220">
<li data-start="2672" data-end="2803">
<p data-start="2675" data-end="2803"><strong data-start="2675" data-end="2690">Camera math</strong><br data-start="2690" data-end="2693">
Each screen column <code data-start="2715" data-end="2718">x</code> corresponds to a ray direction via <code data-start="2754" data-end="2802">(dirX + planeX*cameraX, dirY + planeY*cameraX)</code>.</p>
</li>
<li data-start="2804" data-end="2870">
<p data-start="2807" data-end="2870"><strong data-start="2807" data-end="2822">Ray casting</strong><br data-start="2822" data-end="2825">
Calls the <code data-start="2838" data-end="2847">castRay</code> function from earlier.</p>
</li>
<li data-start="2871" data-end="2934">
<p data-start="2874" data-end="2934"><strong data-start="2874" data-end="2888">Projection</strong><br data-start="2888" data-end="2891">
Wall height = <code data-start="2908" data-end="2933">screenHeight / distance</code>.</p>
</li>
<li data-start="2935" data-end="3144">
<p data-start="2938" data-end="2953"><strong data-start="2938" data-end="2951">Texturing</strong></p>
<ul data-start="2957" data-end="3144">
<li data-start="2957" data-end="3013">
<p data-start="2959" data-end="3013"><code data-start="2959" data-end="2969">textureX</code> = fractional hit location along the wall.</p>
</li>
<li data-start="3017" data-end="3059">
<p data-start="3019" data-end="3059">Flipped if hitting certain wall sides.</p>
</li>
<li data-start="3063" data-end="3144">
<p data-start="3065" data-end="3144">Then we stretch the vertical texture column to fit the projected wall height.</p>
</li>
</ul>
</li>
<li data-start="3145" data-end="3220">
<p data-start="3148" data-end="3220"><strong data-start="3148" data-end="3159">Shading</strong><br data-start="3159" data-end="3162">
Optional: darken walls hit on y-sides to fake lighting.</p>
</li>
</ol>
<hr data-start="3222" data-end="3225">
<p data-start="3227" data-end="3281">This is enough to render Wolfenstein-style walls! 🚀</p>
<p data-start="3283" data-end="3450" data-is-last-node="" data-is-only-node="">👉 Do you want me to also show you how to manage <strong data-start="3332" data-end="3359">floor/ceiling rendering</strong> (raycasting them too, or using vertical interpolation), or do you only need walls for now?</p></div></div></div></div></div></div></article><div aria-hidden="true" data-edge="true" class="pointer-events-none h-px w-px"></div><div></div><div style="opacity: 1;"><button class="cursor-pointer absolute z-10 rounded-full bg-clip-padding border text-token-text-secondary border-token-border-default end-1/2 translate-x-1/2 bg-token-main-surface-primary w-8 h-8 flex items-center justify-center bottom-[calc(var(--composer-overlap-px)+--spacing(6))]"><svg width="20" height="20" viewBox="0 0 20 20" fill="currentColor" xmlns="http://www.w3.org/2000/svg" class="icon text-token-text-primary"><path d="M9.33468 3.33333C9.33468 2.96617 9.6326 2.66847 9.99972 2.66829C10.367 2.66829 10.6648 2.96606 10.6648 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custom instructions no longer available\",{\"_3718\":76,\"_3732\":-5,\"_3733\":76,\"_3719\":3679,\"_3734\":76},\"user_context_message_data\",\"is_user_system_message\",\"is_redacted\",[3736],\"7549d1ac-8e4e-4807-ad10-f47d5a504b02\",{\"_23\":3736,\"_3699\":3738,\"_3721\":3723,\"_3695\":3757},{\"_23\":3736,\"_3701\":3739,\"_3687\":3741,\"_3707\":3742,\"_3713\":3714,\"_3716\":1587,\"_3705\":3745,\"_3720\":3125},{\"_3703\":21,\"_3705\":3740},{},1758618062.676,{\"_3709\":3710,\"_3711\":3743},[3744],\"Im making a dungeon crawler where all the walls are guaranteed to be tile-aligned. It's wolfensteil graphics, so no need for real ray tracing, only vertical ray casting in 2d. Can you help me make a fast javascript ray-caster that does not just increment the rays a tiny bit every time. I think the algorithm may be called DDA. I also need to know where on the wall the ray hits, so I can apply the correct texture\",{\"_3746\":3747,\"_3748\":3749,\"_3752\":3753,\"_3754\":-5,\"_3755\":3756,\"_3719\":3679},\"selected_github_repos\",[],\"serialization_metadata\",{\"_3750\":3751},\"custom_symbol_offsets\",[],\"request_id\",\"9838daec3c91be35-IAD\",\"message_source\",\"timestamp_\",\"absolute\",[3758],\"f76486b6-497c-4f56-b1e4-3d2437ca3d05\",{\"_23\":3758,\"_3699\":3760,\"_3721\":3736,\"_3695\":3776},{\"_23\":3758,\"_3701\":3761,\"_3687\":3764,\"_3707\":3765,\"_3713\":3714,\"_3716\":1587,\"_3705\":3768,\"_3720\":3125},{\"_3703\":3762,\"_3705\":3763},\"assistant\",{},1758618063.0284135,{\"_3709\":3766,\"_3767\":1893},\"model_editable_context\",\"model_set_context\",{\"_3752\":3753,\"_3769\":3770,\"_3771\":3772,\"_3773\":3774,\"_3775\":3736,\"_3755\":3756,\"_3719\":3679,\"_3734\":76},\"message_type\",\"next\",\"model_slug\",\"gpt-5\",\"default_model_slug\",\"auto\",\"parent_id\",[3777],\"68303506-ea01-4aff-95b8-b7bbd6e17d20\",{\"_23\":3777,\"_3699\":3779,\"_3721\":3758,\"_3695\":3798},{\"_23\":3777,\"_3701\":3780,\"_3687\":3782,\"_3707\":3783,\"_3713\":3714,\"_3715\":76,\"_3716\":1587,\"_3705\":3786,\"_3720\":3125},{\"_3703\":3762,\"_3705\":3781},{},1758618063.049912,{\"_3709\":3710,\"_3711\":3784},[3785],\"Yes — you’re talking about the **DDA (Digital Differential Analyzer)** algorithm, which is the standard way to do fast 2D grid ray casting for Wolfenstein-style engines. \\n\\nThe idea: instead of stepping pixel by pixel, you compute how far you need to go to reach the *next vertical* or *next horizontal* grid line, then keep stepping grid-by-grid until you hit a wall.\\n\\nHere’s a compact JavaScript implementation outline:\\n\\n```js\\n// grid: 2D array of 0 = empty, 1 = wall\\n// posX, posY: player position in map coords (floats, tile units)\\n// dirX, dirY: ray direction (normalized vector)\\n// maxDist: optional cutoff distance\\nfunction castRay(grid, posX, posY, dirX, dirY, maxDist = 100) {\\n const mapWidth = grid[0].length;\\n const mapHeight = grid.length;\\n\\n // Current map square\\n let mapX = Math.floor(posX);\\n let mapY = Math.floor(posY);\\n\\n // Length of ray from one x or y-side to next x or y-side\\n const deltaDistX = Math.abs(1 / dirX);\\n const deltaDistY = Math.abs(1 / dirY);\\n\\n // Step direction (+1 or -1) and initial sideDist\\n let stepX, stepY;\\n let sideDistX, sideDistY;\\n\\n if (dirX \u003c 0) {\\n stepX = -1;\\n sideDistX = (posX - mapX) * deltaDistX;\\n } else {\\n stepX = 1;\\n sideDistX = (mapX + 1.0 - posX) * deltaDistX;\\n }\\n\\n if (dirY \u003c 0) {\\n stepY = -1;\\n sideDistY = (posY - mapY) * deltaDistY;\\n } else {\\n stepY = 1;\\n sideDistY = (mapY + 1.0 - posY) * deltaDistY;\\n }\\n\\n let hit = false;\\n let side = 0; // 0 = hit x-side, 1 = hit y-side\\n\\n // DDA loop\\n while (!hit) {\\n if (sideDistX \u003c sideDistY) {\\n sideDistX += deltaDistX;\\n mapX += stepX;\\n side = 0;\\n } else {\\n sideDistY += deltaDistY;\\n mapY += stepY;\\n side = 1;\\n }\\n\\n // Check for out of bounds\\n if (mapX \u003c 0 || mapX \u003e= mapWidth || mapY \u003c 0 || mapY \u003e= mapHeight) {\\n return null; // no hit\\n }\\n\\n // Check if ray hit a wall\\n if (grid[mapY][mapX] \u003e 0) hit = true;\\n if (Math.min(sideDistX, sideDistY) \u003e maxDist) return null;\\n }\\n\\n // Calculate distance to wall\\n let perpWallDist;\\n if (side === 0) {\\n perpWallDist = (mapX - posX + (1 - stepX) / 2) / dirX;\\n } else {\\n perpWallDist = (mapY - posY + (1 - stepY) / 2) / dirY;\\n }\\n\\n // Where on the wall did we hit? (texture coordinate)\\n let wallX;\\n if (side === 0) {\\n wallX = posY + perpWallDist * dirY;\\n } else {\\n wallX = posX + perpWallDist * dirX;\\n }\\n wallX -= Math.floor(wallX); // fractional part only [0..1)\\n\\n return {\\n mapX, mapY, // tile coords\\n side, // hit vertical or horizontal wall\\n distance: perpWallDist,\\n textureX: wallX // use this to index into texture\\n };\\n}\\n```\\n\\n### Key points:\\n- **DDA stepping** means you only move to the next grid line each time → very fast.\\n- `side` tells you if you hit a vertical or horizontal wall (so you can darken one side for fake lighting).\\n- `textureX` gives you the fractional offset into the wall tile (for correct texture mapping).\\n\\n👉 Then in your renderer, for each vertical screen stripe:\\n1. Compute the ray direction from the camera plane. \\n2. Call `castRay`. \\n3. Use `distance` to determine column height. \\n4. Use `textureX` to select the right column from your texture. \\n\\nDo you want me to also show you how to set up the **main loop that casts all rays for the screen** (like Wolfenstein’s projection plane math), or are you mainly looking for just the DDA core?\",{\"_3787\":3788,\"_3793\":76,\"_3794\":3795,\"_3796\":3797,\"_3752\":3753,\"_3769\":3770,\"_3771\":3772,\"_3773\":3774,\"_3775\":3758,\"_3755\":3756,\"_3719\":3679},\"finish_details\",{\"_3682\":3789,\"_3790\":3791},\"stop\",\"stop_tokens\",[3792],200002,\"is_complete\",\"citations\",[],\"content_references\",[],[3799],\"be919609-5269-4490-aabb-338ea79d8832\",{\"_23\":3799,\"_3699\":3801,\"_3721\":3777,\"_3695\":3813},{\"_23\":3799,\"_3701\":3802,\"_3687\":3804,\"_3707\":3805,\"_3713\":3714,\"_3716\":1587,\"_3705\":3808,\"_3720\":3125},{\"_3703\":21,\"_3705\":3803},{},1758618259.381,{\"_3709\":3710,\"_3711\":3806},[3807],\"yes please\",{\"_3746\":3809,\"_3748\":3810,\"_3752\":3812,\"_3754\":-5,\"_3755\":3756,\"_3719\":3679},[],{\"_3750\":3811},[],\"9838dfb9795fbe35-IAD\",[3814],\"24e67284-5568-4fc8-bb6b-0d2e73575e85\",{\"_23\":3814,\"_3699\":3816,\"_3721\":3799,\"_3695\":3828},{\"_23\":3814,\"_3701\":3817,\"_3687\":3819,\"_3707\":3820,\"_3713\":3714,\"_3715\":76,\"_3716\":1587,\"_3705\":3823,\"_3720\":3125},{\"_3703\":3762,\"_3705\":3818},{},1758618259.632645,{\"_3709\":3710,\"_3711\":3821},[3822],\"Perfect — let’s wire the **DDA ray-caster** into a full “Wolfenstein” style projection loop. \\n\\nThe basic camera model: \\n- Player has a position `(posX, posY)` and a direction vector `(dirX, dirY)`. \\n- You also need a perpendicular **camera plane** `(planeX, planeY)` that defines the field of view. \\n - Typical setup: `dirX=1, dirY=0` and `planeX=0, planeY=0.66` → ~66° FOV. \\n\\nThen, for each screen column `x`, you build a ray direction, cast it with DDA, and draw the vertical stripe.\\n\\nHere’s a skeleton in JavaScript:\\n\\n```js\\nfunction renderFrame(ctx, screenWidth, screenHeight, grid, posX, posY, dirX, dirY, planeX, planeY, textures) {\\n for (let x = 0; x \u003c screenWidth; x++) {\\n // cameraX: -1 on left side, +1 on right side of screen\\n const cameraX = 2 * x / screenWidth - 1;\\n const rayDirX = dirX + planeX * cameraX;\\n const rayDirY = dirY + planeY * cameraX;\\n\\n // Cast ray using our DDA function\\n const hit = castRay(grid, posX, posY, rayDirX, rayDirY);\\n if (!hit) continue; // nothing hit (out of bounds)\\n\\n const { distance, side, textureX, mapX, mapY } = hit;\\n\\n // Projected wall height (avoid div by zero)\\n const lineHeight = Math.floor(screenHeight / (distance || 0.0001));\\n\\n // Draw start and end of wall stripe\\n let drawStart = Math.floor(-lineHeight / 2 + screenHeight / 2);\\n let drawEnd = Math.floor(lineHeight / 2 + screenHeight / 2);\\n if (drawStart \u003c 0) drawStart = 0;\\n if (drawEnd \u003e= screenHeight) drawEnd = screenHeight - 1;\\n\\n // Pick texture (here grid value decides which texture)\\n const tex = textures[grid[mapY][mapX] % textures.length];\\n const texWidth = tex.width, texHeight = tex.height;\\n\\n // X coord on texture\\n let texX = Math.floor(textureX * texWidth);\\n if (side === 0 \u0026\u0026 rayDirX \u003e 0) texX = texWidth - texX - 1;\\n if (side === 1 \u0026\u0026 rayDirY \u003c 0) texX = texWidth - texX - 1;\\n\\n // Draw vertical stripe from texture\\n const column = ctx.getImageData(texX, 0, 1, texHeight); // one column\\n for (let y = drawStart; y \u003c drawEnd; y++) {\\n // Map screen y to texture y\\n const d = y * 256 - screenHeight * 128 + lineHeight * 128;\\n const texY = Math.floor(((d * texHeight) / lineHeight) / 256);\\n const texIndex = (texY * texWidth + texX) * 4;\\n\\n const r = column.data[texIndex];\\n const g = column.data[texIndex + 1];\\n const b = column.data[texIndex + 2];\\n const a = column.data[texIndex + 3];\\n\\n // Simple shading: darken if y-side\\n const shade = side === 1 ? 0.7 : 1.0;\\n\\n ctx.fillStyle = `rgba(${r * shade}, ${g * shade}, ${b * shade}, ${a / 255})`;\\n ctx.fillRect(x, y, 1, 1);\\n }\\n }\\n}\\n```\\n\\n### What’s happening:\\n1. **Camera math** \\n Each screen column `x` corresponds to a ray direction via `(dirX + planeX*cameraX, dirY + planeY*cameraX)`.\\n2. **Ray casting** \\n Calls the `castRay` function from earlier.\\n3. **Projection** \\n Wall height = `screenHeight / distance`.\\n4. **Texturing** \\n - `textureX` = fractional hit location along the wall. \\n - Flipped if hitting certain wall sides. \\n - Then we stretch the vertical texture column to fit the projected wall height. \\n5. **Shading** \\n Optional: darken walls hit on y-sides to fake lighting.\\n\\n---\\n\\nThis is enough to render Wolfenstein-style walls! 🚀 \\n\\n👉 Do you want me to also show you how to manage **floor/ceiling rendering** (raycasting them too, or using vertical interpolation), or do you only need walls for now?\",{\"_3787\":3824,\"_3793\":76,\"_3794\":3826,\"_3796\":3827,\"_3752\":3812,\"_3769\":3770,\"_3771\":3772,\"_3773\":3774,\"_3775\":3799,\"_3755\":3756,\"_3719\":3679},{\"_3682\":3789,\"_3790\":3825},[3792],[],[],[],\"moderation_results\",[],\"current_node\",\"conversation_id\",\"is_archived\",\"safe_urls\",[],\"blocked_urls\",[],\"disabled_tool_ids\",[],\"memory_scope\",\"global_enabled\",\"sugar_item_visible\",\"is_study_mode\",\"is_public\",\"linear_conversation\",[3847,3849,3857,3865,3876,3883,3895,3906],{\"_23\":3693,\"_3695\":3848},[3697],{\"_23\":3697,\"_3699\":3850,\"_3721\":3693,\"_3695\":3856},{\"_23\":3697,\"_3701\":3851,\"_3707\":3853,\"_3713\":3714,\"_3715\":76,\"_3716\":1572,\"_3705\":3855,\"_3720\":3125},{\"_3703\":3704,\"_3705\":3852},{},{\"_3709\":3710,\"_3711\":3854},[1893],{\"_3718\":76,\"_3719\":3679},[3723],{\"_23\":3723,\"_3699\":3858,\"_3721\":3697,\"_3695\":3864},{\"_23\":3723,\"_3701\":3859,\"_3707\":3861,\"_3713\":3714,\"_3716\":1587,\"_3705\":3863,\"_3720\":3125},{\"_3703\":21,\"_3705\":3860},{},{\"_3709\":3710,\"_3711\":3862},[3730],{\"_3718\":76,\"_3732\":-5,\"_3733\":76,\"_3719\":3679,\"_3734\":76},[3736],{\"_23\":3736,\"_3699\":3866,\"_3721\":3723,\"_3695\":3875},{\"_23\":3736,\"_3701\":3867,\"_3687\":3741,\"_3707\":3869,\"_3713\":3714,\"_3716\":1587,\"_3705\":3871,\"_3720\":3125},{\"_3703\":21,\"_3705\":3868},{},{\"_3709\":3710,\"_3711\":3870},[3744],{\"_3746\":3872,\"_3748\":3873,\"_3752\":3753,\"_3754\":-5,\"_3755\":3756,\"_3719\":3679},[],{\"_3750\":3874},[],[3758],{\"_23\":3758,\"_3699\":3877,\"_3721\":3736,\"_3695\":3882},{\"_23\":3758,\"_3701\":3878,\"_3687\":3764,\"_3707\":3880,\"_3713\":3714,\"_3716\":1587,\"_3705\":3881,\"_3720\":3125},{\"_3703\":3762,\"_3705\":3879},{},{\"_3709\":3766,\"_3767\":1893},{\"_3752\":3753,\"_3769\":3770,\"_3771\":3772,\"_3773\":3774,\"_3775\":3736,\"_3755\":3756,\"_3719\":3679,\"_3734\":76},[3777],{\"_23\":3777,\"_3699\":3884,\"_3721\":3758,\"_3695\":3894},{\"_23\":3777,\"_3701\":3885,\"_3687\":3782,\"_3707\":3887,\"_3713\":3714,\"_3715\":76,\"_3716\":1587,\"_3705\":3889,\"_3720\":3125},{\"_3703\":3762,\"_3705\":3886},{},{\"_3709\":3710,\"_3711\":3888},[3785],{\"_3787\":3890,\"_3793\":76,\"_3794\":3892,\"_3796\":3893,\"_3752\":3753,\"_3769\":3770,\"_3771\":3772,\"_3773\":3774,\"_3775\":3758,\"_3755\":3756,\"_3719\":3679},{\"_3682\":3789,\"_3790\":3891},[3792],[],[],[3799],{\"_23\":3799,\"_3699\":3896,\"_3721\":3777,\"_3695\":3905},{\"_23\":3799,\"_3701\":3897,\"_3687\":3804,\"_3707\":3899,\"_3713\":3714,\"_3716\":1587,\"_3705\":3901,\"_3720\":3125},{\"_3703\":21,\"_3705\":3898},{},{\"_3709\":3710,\"_3711\":3900},[3807],{\"_3746\":3902,\"_3748\":3903,\"_3752\":3812,\"_3754\":-5,\"_3755\":3756,\"_3719\":3679},[],{\"_3750\":3904},[],[3814],{\"_23\":3814,\"_3699\":3907,\"_3721\":3799,\"_3695\":3917},{\"_23\":3814,\"_3701\":3908,\"_3687\":3819,\"_3707\":3910,\"_3713\":3714,\"_3715\":76,\"_3716\":1587,\"_3705\":3912,\"_3720\":3125},{\"_3703\":3762,\"_3705\":3909},{},{\"_3709\":3710,\"_3711\":3911},[3822],{\"_3787\":3913,\"_3793\":76,\"_3794\":3915,\"_3796\":3916,\"_3752\":3812,\"_3769\":3770,\"_3771\":3772,\"_3773\":3774,\"_3775\":3799,\"_3755\":3756,\"_3719\":3679},{\"_3682\":3789,\"_3790\":3914},[3792],[],[],[],\"has_user_editable_context\",\"continue_conversation_url\",\"https://chatgpt.com/share/68d26949-5d20-8009-a761-bd50995e8af3/continue\",{\"_3922\":3772,\"_3923\":3924,\"_3685\":3925,\"_3926\":3927,\"_3928\":3929},\"slug\",\"max_tokens\",16384,\"GPT-5\",\"description\",\"Browsing, 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