MAD(3clc)

✨ MAD(3clc) — bestie's math function era ✨

okay so you're reading the OpenCL Manual page for mad, and honestly? she's a vibe. let's get into it 💅

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🌸 NAME 🌸

mad — approximates a * b + c.

gentype mad(gentype a, gentype b, gentype c);

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🦋 DESCRIPTION 🦋

so mad gives you an approximation of a * b + c. that's it, that's the girl. 🫶

now here's the tea: whether or how the product of a * b gets rounded, and how supernormal or subnormal intermediate products are handled — that is not defined. like, genuinely unspecified. no cap.

mad is meant to be used where speed is preferred over accuracy. she's fast, not precise. main character energy, minimal precision. periodt.

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💀 NOTES 💀

okay bestie, some of this is important so read it, don't just scroll 🙈

• For some usages, e.g. mad(a, b, -a*b), the definition of mad() is loose enough that almost any result is allowed from mad() for some values of a and b. like... literally almost anything. she said "free will". 💀
• The vector versions of the math functions operate component-wise. The description is per-component. so yeah, each lil component does its own thing ✨
• The built-in math functions are not affected by the prevailing rounding mode in the calling environment, and always return the same value as they would if called with the round to nearest even rounding mode. she does not care what your environment thinks. iconic.
• The built-in math functions take scalar or vector arguments. For any specific use of these function, the actual type has to be the same for all arguments and the return type</> unless otherwise specified. no mixing, bestie, that's the rule.
• The generic type name gentype is used to indicate that the function can take float, float2, float3, float4, float8, float16, double, double2, double3, double4, double8, or double16 as the type for the arguments. she's flexible like that 🦋
• If extended with cl_khr_fp16(3clc), generic type name gentype may indicate half and half{2|3|4|8|16} as arguments and return values.
• The generic type name gentypef is used to indicate that the function can take float, float2, float3, float4, float8, or float16 as the type for the arguments.
• The generic type name gentyped is used to indicate that the function can take double, double2, double3, double4, double8, or double16 as the type for the arguments.

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📜 SPECIFICATION 📜

OpenCL Specification[1]

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👀 SEE ALSO 👀

mathFunctions(3clc)

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🎀 AUTHORS 🎀

The Khronos Group

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⚖️ COPYRIGHT ⚖️

Copyright © 2007-2011 The Khronos Group Inc.

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and/or associated documentation files (the "Materials"), to deal in the Materials without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Materials, and to permit persons to whom the Materials are furnished to do so, subject to the condition that this copyright notice and permission notice shall be included in all copies or substantial portions of the Materials.

bestie the license said what it said, we are NOT paraphrasing legal text 💅

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🔥 NOTES (the footnote one, not the other one) 🔥

1. OpenCL Specification page 244, section 6.12.2 - Math Functions

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and that's the whole page, bestie!! you ate. go forth and multiply (and add). 🌈✨

this was the MAD(3clc) page from the OpenCL Manual, dated 01/14/2021, brought to you by The Khronos Group. mwah 💖