Well yeah, you would store your values in whatever representation fits your domain, then do the calculations with floats based on a suitable origin when needed. For example, for raytracing you would have each model defined in its local coordinate system with 32-bit floats for coordinates (because those are plenty accurate enough for single human-scale models), but offset them in the scene with 64-bit doubles (again, plenty enough of precision), and convert the ray coordinates to the local coordinates for ray-mesh intersection once the ray-box intersection passes.
My one small nitpick is that vector length is usually 2 instructions with SSE4:
dpps xmm0, xmm0, 0x17 ; dot product of 3 lanes, write lane 0
sqrtss xmm0, xmm0
ret
And is considerably faster than the fancy version, mainly because Intel still hasn't given us horizontal-max vector instruction! ARM is a bit better in that regard with their fancy vmaxvq_f32 and vmaxnmvq_f32...
This sounds so insane to me. If I own land and grow a tree on it, the tree and its fruits are private property forever (mine until I die, then inherited by my children, then their children, or sold, transferred, etc ad nauseam). At no point does the tree become "public", that would be utter nonsense. It is property. Why should my ideas then be anything different? They come from my head. I own myself, including my head, thus I should own the fruits of my head like I own the fruits of my tree and they should remain property forever. The fact that copyright expires is one of the great tragedies of modern life, though at least I can take solace in knowing I own my ideas until I die.
Copyright law exists exactly because it is universally accepted that ideas are not property: Copying an idea or expression of it does not deprive you of your ideas.
The entire notion of "intellectual property" is the creation of an artificial monopoly rooted in very distinct and separate goals from physical property that requires separate laws if you want to restrict copying or exploitation, because property law explicitly does not cover them.
Most copyright laws are also justified implicitly or directly in the legal texts allowing them as creating an incentive for the advancement of the arts and sciences - a temporary monopoly right granted by the state as a deviation from perceived "natural right" - on the belief that granting that right creates more benefits for the public than not having them, by encouraging the creation of more works.
And no copyright law protects your ideas. They protect the specific expression of them. Patents - which do protect ideas - are by design far more restricted and limited exactly because they are far more invasive in depriving the public of use of the very idea for the duration.
Did you spend your entire life in isolation from the rest of human society? Because if not, then you have been influenced throughout your life in a multitude of subtle and not-so-subtle ways by the works of others. In what way, then, are the fruits of your head entirely yours? We're all standing on the shoulders of giants.
Unlike the tree, nobody can take your idea away from you. You retain possession of your idea even if somebody copies it. It sounds insane to me to think you should get permanent control over other people's communication just because you had the idea before them.
Perhaps, but that is your tree, if someone takes a cutting from your tree and grows it into their own tree you shouldn't own that tree, your tree is still there.
Eventually you get to the point where someone asks why the tree is theirs and they say it's because someone in history planted it, they were a relative, so it is mine now. It is hard to assert a moral justification for long term hereditary ownership without inviting investigations on how it was those ancestors came to have the resources that caused the ownership to begin.
Such a weird take. What are the similarities between your fantasies and land that to you make the philosophical convictions involved in private property laws applicable to those fantasies? Why isn't it good enough for you to fantasise about land and a tree, and why doesn't the answer to this undermine your reasoning?
Personally I'm not convinced by the arguments for private property, which makes your comparison even weirder than you likely intended.
> I should own the fruits of my head like I own the fruits of my tree and they should remain property forever.
You're blindly assuming that in owning a thing now, you must naturally own it forever; that you can live forever in an eternal "now," like a child or an animal. But that's not how the natural world works, nor is it how the human world works. Supposing you own a particular tree; if you let the fruit from that tree fall to the ground and rot, you mustn't complain if someone else, picking up that fruit, saves it from rot.
Compare Schopenhauer, "The World as Will and Representation," IV.62:
> Take the case of an object that has been worked on, improved, or guarded and protected from mishap through someone’s efforts, however small, even if they amounted to no more than plucking or picking up some wild fruit from the ground: someone who seizes this object clearly deprives the other of the results of the energy he has expended on it; he is making the other’s body serve his will instead of its own [...] i.e. he is doing wrong. — On the other hand, simply enjoying something without doing any work on it or safeguarding it against destruction gives us as little right to the thing as the declaration of our will to be its sole owner. Thus, when a family has hunted by itself in a district for even a hundred years without having done anything towards its improvement, then this family cannot keep out a newcomer who wants to hunt there too without morally doing wrong. There is absolutely no moral ground for the so-called right of preoccupation, which holds that simply by virtue of having enjoyed a thing you can demand the exclusive right to its further enjoyment as an additional reward. The newcomer would have much more of a right to tell anyone whose claim rests merely on this right (the right of preoccupation): ‘the very fact that you have been enjoying it for so long makes it right that others should enjoy it now.’
Compare also Aesop:
> A Dog asleep in a manger filled with hay, was awakened by the Cattle, which came in tired and hungry from working in the field. But the Dog would not let them get near the manger, and snarled and snapped as if it were filled with the best of meat and bones, all for himself. The Cattle looked at the Dog in disgust. "How selfish he is!" said one. "He cannot eat the hay and yet he will not let us eat it who are so hungry for it!"
It's not a "should" -- ideas simply are fundamentally different from physical materials, and the norms we use to deal with the inherent qualities of one don't automatically translate over to the other without a suitable rationale.
Physical materials qualify as property because they are economically rival: one party possessing and using them inherently excludes others, meaning that competing claims to the same thing must be resolved by one party surrendering their claims to the other. There's no agree-to-disagree mechanism available, so we need a way to resolve disputes in favor of one party or another.
There is no clear application of this to non-rival intangibles: there is no conflict between two people using similar ideas independently of each other in the first place. Someone copying your idea isn't analogous to them picking fruit off of your tree, it's analogous to them learning from what you're doing, and then going off and planting their own tree on their own land.
Modern "intellectual property" is a contrivance by people desiring to artificially incentivize certain categories of activity by attempting to replicate one of the downstream effects of the inherent exclusivity of goods, namely commercial markets. So you wind up with a positive-law intervention to create artificial scarcity in order to produce similar second-order consequences to what comes about when scarcity exists naturally.
That's why property rights have been recognized in all civilizations in human history -- and are likely a prerequisite for organized civilization to exist in the first place -- whereas copyright laws in their modern form date to the 18th century.
In fact, artificial "intellectual property" conflicts with natural property rights, in that in claiming a universal monopoly on arranging any bits of matter into particular patterns, you are actually claiming the right to stop people from using their own actual property as they please.
What does it matter that the claims are "false" if claiming them as the truth results in encouraging the society we wish to exist? That paper is a cornerstone of sustainability initiatives, if you retract it, you might as well set the whole Earth on fire. To hell with integrity, I say, it's time to do some good for the world!
The status quo wasn't great for the ordinary people and the only offramp they had was clown world. Brexit should have been a hard lesson proving the people will vote against their own interest if they believe they are also voting for something harmful to the regime they despise.
People weren't voting against their own interest. They are voting against a system which they do not believe worked for them. Saying people vote against their own interest is saying that they aught to just shut up and listen. If you propose policy X and say it will be good for people, and they vote against X, then that is a moment of self-reflection on why people think X is not good for them. That attitude is exactly why people despise the regime above them.
By googling "best open source games" and finding blogs and forums that talk about them. In fact googling that exact phrase returns as its first search result a Reddit thread in which OpenTTD is one of the first games listed.
It's not like you can discover it on Steam any easier.
Of course, searching for information itself is also a skill, but it is a truly essential one for the modern world.
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