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Modulo operator is actually the remainder operator #748

@BenjaminMidtvedt

Description

@BenjaminMidtvedt

Describe the bug

Julia has two different functions, rem and mod, which differ in how they handle negative numbers in the first argument.
CUDA also has these two functions, but both of them handle negative numbers like the remainder operator.

To reproduce

arr = -CUDA.ones(Float64, 1, 1)
res = CUDA.mod.(arr, 2.)
>>> 1×1 CuArray{Float64,2}:
>>>  -1.0
Manifest.toml

This file is machine-generated - editing it directly is not advised

[[AbstractFFTs]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "485ee0867925449198280d4af84bdb46a2a404d0"
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
version = "1.0.1"

[[Adapt]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "ffcfa2d345aaee0ef3d8346a073d5dd03c983ebe"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.2.0"

[[Artifacts]]
deps = ["Pkg"]
git-tree-sha1 = "c30985d8821e0cd73870b17b0ed0ce6dc44cb744"
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
version = "1.3.0"

[[BFloat16s]]
deps = ["LinearAlgebra", "Test"]
git-tree-sha1 = "4af69e205efc343068dc8722b8dfec1ade89254a"
uuid = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
version = "0.1.0"

[[Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[CEnum]]
git-tree-sha1 = "215a9aa4a1f23fbd05b92769fdd62559488d70e9"
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
version = "0.4.1"

[[CUDA]]
deps = ["AbstractFFTs", "Adapt", "BFloat16s", "CEnum", "CompilerSupportLibraries_jll", "DataStructures", "ExprTools", "GPUArrays", "GPUCompiler", "LLVM", "Libdl", "LinearAlgebra", "Logging", "MacroTools", "NNlib", "Pkg", "Printf", "Random", "Reexport", "Requires", "SparseArrays", "Statistics", "TimerOutputs"]
git-tree-sha1 = "6ccc73b2d8b671f7a65c92b5f08f81422ebb7547"
uuid = "052768ef-5323-5732-b1bb-66c8b64840ba"
version = "2.4.1"

[[ChainRulesCore]]
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "de4f08843c332d355852721adb1592bce7924da3"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "0.9.29"

[[Compat]]
deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
git-tree-sha1 = "919c7f3151e79ff196add81d7f4e45d91bbf420b"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "3.25.0"

[[CompilerSupportLibraries_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "8e695f735fca77e9708e795eda62afdb869cbb70"
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "0.3.4+0"

[[DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "4437b64df1e0adccc3e5d1adbc3ac741095e4677"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.9"

[[Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[DelimitedFiles]]
deps = ["Mmap"]
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"

[[Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

[[ExprTools]]
git-tree-sha1 = "10407a39b87f29d47ebaca8edbc75d7c302ff93e"
uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
version = "0.1.3"

[[GPUArrays]]
deps = ["AbstractFFTs", "Adapt", "LinearAlgebra", "Printf", "Random", "Serialization"]
git-tree-sha1 = "f99a25fe0313121f2f9627002734c7d63b4dd3bd"
uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
version = "6.2.0"

[[GPUCompiler]]
deps = ["DataStructures", "InteractiveUtils", "LLVM", "Libdl", "Scratch", "Serialization", "TimerOutputs", "UUIDs"]
git-tree-sha1 = "c853c810b52a80f9aad79ab109207889e57f41ef"
uuid = "61eb1bfa-7361-4325-ad38-22787b887f55"
version = "0.8.3"

[[InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[JLLWrappers]]
git-tree-sha1 = "a431f5f2ca3f4feef3bd7a5e94b8b8d4f2f647a0"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.2.0"

[[LLVM]]
deps = ["CEnum", "Libdl", "Printf", "Unicode"]
git-tree-sha1 = "b616937c31337576360cb9fb872ec7633af7b194"
uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
version = "3.6.0"

[[LibGit2]]
deps = ["Printf"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[LinearAlgebra]]
deps = ["Libdl"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "6a8a2a625ab0dea913aba95c11370589e0239ff0"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.6"

[[Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[NNlib]]
deps = ["ChainRulesCore", "Compat", "LinearAlgebra", "Pkg", "Requires", "Statistics"]
git-tree-sha1 = "df42d0816edfc24f5b82a728f46381613c4dff79"
uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
version = "0.7.14"

[[OrderedCollections]]
git-tree-sha1 = "4fa2ba51070ec13fcc7517db714445b4ab986bdf"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.4.0"

[[Pkg]]
deps = ["Dates", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "UUIDs"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

[[Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[Random]]
deps = ["Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[Reexport]]
git-tree-sha1 = "57d8440b0c7d98fc4f889e478e80f268d534c9d5"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.0.0"

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "cfbac6c1ed70c002ec6361e7fd334f02820d6419"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.1.2"

[[SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

[[Scratch]]
deps = ["Dates"]
git-tree-sha1 = "ad4b278adb62d185bbcb6864dc24959ab0627bf6"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.0.3"

[[Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[SharedArrays]]
deps = ["Distributed", "Mmap", "Random", "Serialization"]
uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"

[[Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[[Test]]
deps = ["Distributed", "InteractiveUtils", "Logging", "Random"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[TimerOutputs]]
deps = ["Printf"]
git-tree-sha1 = "32cdbe6cd2d214c25a0b88f985c9e0092877c236"
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
version = "0.5.8"

[[UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

Expected behavior

I expect the result to be a positive number: in this case 1.

Version info

Details on Julia:

Julia Version 1.5.3
Commit 788b2c77c1 (2020-11-09 13:37 UTC)
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: Intel(R) Core(TM) i9-10900KF CPU @ 3.70GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-9.0.1 (ORCJIT, skylake)
Environment:
  JULIA_EDITOR = "C:\Users\GU\AppData\Local\atom\app-1.54.0\atom.exe"  -a
  JULIA_NUM_THREADS = 10

Details on CUDA:

CUDA toolkit 11.1.1, artifact installation
CUDA driver 11.2.0

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