Similarly, Apple has no say over the contents of this post Apple has not even seen any version of this post before publishing. When Apple reached out to me, I received permission from Disney Animation to go ahead on a purely personal basis, and beyond that nothing with this entire process involves Disney Animation.įinally, Apple is not paying me or giving me anything for this post the 14-inch MacBook Pro I’ve been using for the past week is strictly a loaner unit that has to be returned to Apple at a later point. Second, as with everything in this blog, the contents of this post represent only my personal opinion and do not in any way represent any kind of official or unofficial position, endorsement, or opinion on any matter from my employer, Walt Disney Animation Studios. Many amazing tech reviewers exist out there, and if what you are looking for is a general overview and review of the new M1 Pro and M1 Max based MacBook Pros, I would suggest you go check out reviews by The Verge, Anandtech, MKBHD, Dave2D, LinusTechTips, and so on. While the previous three parts dove deep into extremely technical details about arm64 assembly and Apple Silicon and such, this post will focus on a single question: now that professional-grade Apple Silicon chips exist in the wild, how well do high-end rendering workloads run on workstation-class arm64?īefore we dive in, I want to get a few important details out of the way.įirst, this post is not really a product review or anything like that, and I will not be making any sort of endorsement or recommendation on what you should or should not buy I’ll just be writing about my experiences so far. This post will serve as something of a coda to my Takua Renderer on arm64 series, but will also be fairly different in structure and content to the previous three parts. So, to my extraordinary surprise, this post is the unexpected Part 4 to what was originally supposed to be a two-part series about Takua Renderer on arm64. Last week (relative to the time of posting), Apple announced new 14 and 16-inch MacBook Pro models, powered by the new Apple M1 Pro and Apple M1 Max chips.Īpple reached out to me last week immediately after the announcement of the new MacBook Pros, and as a result, for the past week I’ve had the opportunity to use a prerelease M1 Max-equipped 2021 14-inch MacBook Pro as my daily computer. Well, those future Apple Silicon chips are now here! The even more amazing thing to think about is that the M1 is Apple’s low end Mac processor and likely will be the slowest arm64 chip to ever power a shipping Mac future Apple Silicon chips will only be even faster. There’s really no way to understate what a colossal achievement Apple’s M1 processor is compared with almost every modern x86-64 processor in its class, it achieves significantly more performance for much less cost and much less energy. In the intro to part 1 of my arm64 series, I wrote about my motivation for exploring arm64, and in the conclusion to part 2 of my arm64 series, I wrote the following about the Apple M1 chip: I wrote up the entire process and everything I learned as a three-part blog post series covering topics ranging from assembly-level comparison between x86-64 and arm64, to deep dives into various aspects of Apple Silicon, to a comparison of x86-64’s SSE and arm64’s Neon vector instructions. Over the past year, I ported my hobby renderer, Takua Renderer, to 64-bit ARM. Rendering on the Apple M1 Max Chip October 25, 2021
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In addition, thirteen was traced from three and four from fourteen, and the pattern continued to nineteen. Twelve developed from the lif, which meant “two leftovers” (Higgins143). For instance, eleven evolved from ein lifon, which was used to mean ‘one left’ over by the prehistoric people. Fortunately, any pattern of numbers past ten is recognizable and easily traceable. However, the pattern of numbers from one to ten has been difficult to trace. Moreover, the development of numbers evolved from spoken words by the pre-historical people. The bones and woods were marked, as shown below. The mathematical history evolved from the marking of rows on bones, tallying, and pattern recognition, which led to the introduction of numbers. The collection and allocation of sticks to count the animals helped in the determination of the total number of animals present. In addition, Menninger asserts that the daily activities of the pre-historical people like cattle keeping and barter trade led to the need for counting and value determination (105).įor instance, in order to count cows, prehistoric people used sticks. The need for counting developed from the fact that people needed a way of counting groups of individuals through population increase by birth. Moreover, the need for simple counting by ancient people in history developed odd or even, more or less, and other forms of number systems that evolved to the current counting systems. Even though the assumption of numbers based its arguments on archeological evidence about 50,000 years ago, the counting system developed its background from the ancient recognition of more and less during routines activities (Higgins 87). The need for counting arose from the fact that the ancient people recognized the measurements in terms of more or less. Moreover, the paper will outline the reasons why Western counting systems are widely used contemporarily. This paper will highlight the evolution history of counting by the Egyptians/Babylonians, the Romans, Hindu-Arabic, and the Mayans’ counting systems. The history of mathematics in counting started with the ideas of the formulation of measurement methods, which were used by the Babylonians and Egyptians, the introduction of the pattern recognition in number counting in pre-historical time, the organization concepts of different shapes, sizes, and numbers by the pre-historical people, and the natural phenomenon observance and universe behaviors. The developmental history of counting is based on the mathematical evolution, which is believed to have been in existence before the counting systems of numbers started (Zavlatsky 124). 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