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8 Commits
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902
Cargo.lock
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902
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@@ -2,19 +2,292 @@
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# It is not intended for manual editing.
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# It is not intended for manual editing.
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checksum = "adb12d4e967ec485a5f71c6311fe28158e9d6f4bc4a447b474184d0f91a8fa32"
|
||||||
dependencies = [
|
dependencies = [
|
||||||
|
"approx",
|
||||||
|
"cblas-sys",
|
||||||
|
"libc",
|
||||||
"matrixmultiply",
|
"matrixmultiply",
|
||||||
"num-complex",
|
"num-complex",
|
||||||
"num-integer",
|
"num-integer",
|
||||||
@@ -38,6 +341,22 @@ dependencies = [
|
|||||||
"rawpointer",
|
"rawpointer",
|
||||||
]
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "ndarray-linalg"
|
||||||
|
version = "0.16.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "0b0e8dda0c941b64a85c5deb2b3e0144aca87aced64678adfc23eacea6d2cc42"
|
||||||
|
dependencies = [
|
||||||
|
"cauchy",
|
||||||
|
"katexit",
|
||||||
|
"lax",
|
||||||
|
"ndarray",
|
||||||
|
"num-complex",
|
||||||
|
"num-traits",
|
||||||
|
"rand",
|
||||||
|
"thiserror",
|
||||||
|
]
|
||||||
|
|
||||||
[[package]]
|
[[package]]
|
||||||
name = "num-complex"
|
name = "num-complex"
|
||||||
version = "0.4.4"
|
version = "0.4.4"
|
||||||
@@ -45,6 +364,8 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
|
|||||||
checksum = "1ba157ca0885411de85d6ca030ba7e2a83a28636056c7c699b07c8b6f7383214"
|
checksum = "1ba157ca0885411de85d6ca030ba7e2a83a28636056c7c699b07c8b6f7383214"
|
||||||
dependencies = [
|
dependencies = [
|
||||||
"num-traits",
|
"num-traits",
|
||||||
|
"rand",
|
||||||
|
"serde",
|
||||||
]
|
]
|
||||||
|
|
||||||
[[package]]
|
[[package]]
|
||||||
@@ -66,8 +387,589 @@ dependencies = [
|
|||||||
"autocfg",
|
"autocfg",
|
||||||
]
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "once_cell"
|
||||||
|
version = "1.19.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "3fdb12b2476b595f9358c5161aa467c2438859caa136dec86c26fdd2efe17b92"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "openblas-build"
|
||||||
|
version = "0.10.8"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "eba42c395477605f400a8d79ee0b756cfb82abe3eb5618e35fa70d3a36010a7f"
|
||||||
|
dependencies = [
|
||||||
|
"anyhow",
|
||||||
|
"flate2",
|
||||||
|
"native-tls",
|
||||||
|
"tar",
|
||||||
|
"thiserror",
|
||||||
|
"ureq",
|
||||||
|
"walkdir",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "openblas-src"
|
||||||
|
version = "0.10.8"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "38e5d8af0b707ac2fe1574daa88b4157da73b0de3dc7c39fe3e2c0bb64070501"
|
||||||
|
dependencies = [
|
||||||
|
"dirs",
|
||||||
|
"openblas-build",
|
||||||
|
"vcpkg",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "openssl"
|
||||||
|
version = "0.10.61"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "6b8419dc8cc6d866deb801274bba2e6f8f6108c1bb7fcc10ee5ab864931dbb45"
|
||||||
|
dependencies = [
|
||||||
|
"bitflags 2.4.1",
|
||||||
|
"cfg-if",
|
||||||
|
"foreign-types",
|
||||||
|
"libc",
|
||||||
|
"once_cell",
|
||||||
|
"openssl-macros",
|
||||||
|
"openssl-sys",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "openssl-macros"
|
||||||
|
version = "0.1.1"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "a948666b637a0f465e8564c73e89d4dde00d72d4d473cc972f390fc3dcee7d9c"
|
||||||
|
dependencies = [
|
||||||
|
"proc-macro2",
|
||||||
|
"quote",
|
||||||
|
"syn 2.0.43",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "openssl-probe"
|
||||||
|
version = "0.1.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "ff011a302c396a5197692431fc1948019154afc178baf7d8e37367442a4601cf"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "openssl-sys"
|
||||||
|
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|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "c3eaad34cdd97d81de97964fc7f29e2d104f483840d906ef56daa1912338460b"
|
||||||
|
dependencies = [
|
||||||
|
"cc",
|
||||||
|
"libc",
|
||||||
|
"pkg-config",
|
||||||
|
"vcpkg",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "percent-encoding"
|
||||||
|
version = "2.3.1"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "e3148f5046208a5d56bcfc03053e3ca6334e51da8dfb19b6cdc8b306fae3283e"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "pkg-config"
|
||||||
|
version = "0.3.27"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "26072860ba924cbfa98ea39c8c19b4dd6a4a25423dbdf219c1eca91aa0cf6964"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "ppv-lite86"
|
||||||
|
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|
||||||
|
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|
||||||
|
checksum = "5b40af805b3121feab8a3c29f04d8ad262fa8e0561883e7653e024ae4479e6de"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "proc-macro2"
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
dependencies = [
|
||||||
|
"unicode-ident",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "quote"
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
dependencies = [
|
||||||
|
"proc-macro2",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "rand"
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
dependencies = [
|
||||||
|
"libc",
|
||||||
|
"rand_chacha",
|
||||||
|
"rand_core",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "rand_chacha"
|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
dependencies = [
|
||||||
|
"ppv-lite86",
|
||||||
|
"rand_core",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "rand_core"
|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
dependencies = [
|
||||||
|
"getrandom",
|
||||||
|
]
|
||||||
|
|
||||||
[[package]]
|
[[package]]
|
||||||
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|
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|
||||||
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|
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|
||||||
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||||||
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|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "redox_syscall"
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
dependencies = [
|
||||||
|
"bitflags 1.3.2",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "redox_users"
|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
dependencies = [
|
||||||
|
"getrandom",
|
||||||
|
"libredox",
|
||||||
|
"thiserror",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "rustix"
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
dependencies = [
|
||||||
|
"bitflags 2.4.1",
|
||||||
|
"errno",
|
||||||
|
"libc",
|
||||||
|
"linux-raw-sys",
|
||||||
|
"windows-sys 0.52.0",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
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|
||||||
|
"openssl-probe",
|
||||||
|
"rustls-pemfile",
|
||||||
|
"schannel",
|
||||||
|
"security-framework",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
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|
||||||
|
"base64",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
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|
||||||
|
dependencies = [
|
||||||
|
"winapi-util",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
"windows-sys 0.48.0",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
|
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||||||
|
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||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
"core-foundation-sys",
|
||||||
|
"libc",
|
||||||
|
"security-framework-sys",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
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||||||
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||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
"xattr",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
|
||||||
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||||||
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|
||||||
|
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|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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||||||
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||||||
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||||||
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|
||||||
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||||||
|
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||||||
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|
||||||
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||||||
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|
||||||
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|
||||||
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||||||
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||||||
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|
||||||
|
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|
||||||
|
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||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
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|
||||||
|
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||||||
|
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||||||
|
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|
||||||
|
"native-tls",
|
||||||
|
"once_cell",
|
||||||
|
"rustls-native-certs",
|
||||||
|
"url",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
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||||||
|
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|
||||||
|
"form_urlencoded",
|
||||||
|
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|
||||||
|
"percent-encoding",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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||||||
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||||||
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||||||
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||||||
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|
||||||
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[[package]]
|
||||||
|
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||||||
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||||||
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||||||
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|
||||||
|
"same-file",
|
||||||
|
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|
||||||
|
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|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
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||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "winapi"
|
||||||
|
version = "0.3.9"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
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||||||
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|
||||||
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"winapi-i686-pc-windows-gnu",
|
||||||
|
"winapi-x86_64-pc-windows-gnu",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
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|
||||||
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||||||
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||||||
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|
||||||
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[[package]]
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||||||
|
name = "winapi-util"
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||||||
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||||||
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||||||
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||||||
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|
||||||
|
"winapi",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "winapi-x86_64-pc-windows-gnu"
|
||||||
|
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||||||
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||||||
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|
||||||
|
[[package]]
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||||||
|
name = "windows-sys"
|
||||||
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||||||
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||||||
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||||||
|
"windows-targets 0.48.5",
|
||||||
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]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows-sys"
|
||||||
|
version = "0.52.0"
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||||||
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||||||
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||||||
|
dependencies = [
|
||||||
|
"windows-targets 0.52.0",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows-targets"
|
||||||
|
version = "0.48.5"
|
||||||
|
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||||||
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||||||
|
dependencies = [
|
||||||
|
"windows_aarch64_gnullvm 0.48.5",
|
||||||
|
"windows_aarch64_msvc 0.48.5",
|
||||||
|
"windows_i686_gnu 0.48.5",
|
||||||
|
"windows_i686_msvc 0.48.5",
|
||||||
|
"windows_x86_64_gnu 0.48.5",
|
||||||
|
"windows_x86_64_gnullvm 0.48.5",
|
||||||
|
"windows_x86_64_msvc 0.48.5",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows-targets"
|
||||||
|
version = "0.52.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "8a18201040b24831fbb9e4eb208f8892e1f50a37feb53cc7ff887feb8f50e7cd"
|
||||||
|
dependencies = [
|
||||||
|
"windows_aarch64_gnullvm 0.52.0",
|
||||||
|
"windows_aarch64_msvc 0.52.0",
|
||||||
|
"windows_i686_gnu 0.52.0",
|
||||||
|
"windows_i686_msvc 0.52.0",
|
||||||
|
"windows_x86_64_gnu 0.52.0",
|
||||||
|
"windows_x86_64_gnullvm 0.52.0",
|
||||||
|
"windows_x86_64_msvc 0.52.0",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_aarch64_gnullvm"
|
||||||
|
version = "0.48.5"
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||||||
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||||||
|
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|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_aarch64_gnullvm"
|
||||||
|
version = "0.52.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "cb7764e35d4db8a7921e09562a0304bf2f93e0a51bfccee0bd0bb0b666b015ea"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_aarch64_msvc"
|
||||||
|
version = "0.48.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
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||||||
|
checksum = "dc35310971f3b2dbbf3f0690a219f40e2d9afcf64f9ab7cc1be722937c26b4bc"
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||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_aarch64_msvc"
|
||||||
|
version = "0.52.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "bbaa0368d4f1d2aaefc55b6fcfee13f41544ddf36801e793edbbfd7d7df075ef"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_i686_gnu"
|
||||||
|
version = "0.48.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "a75915e7def60c94dcef72200b9a8e58e5091744960da64ec734a6c6e9b3743e"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_i686_gnu"
|
||||||
|
version = "0.52.0"
|
||||||
|
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||||||
|
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|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_i686_msvc"
|
||||||
|
version = "0.48.5"
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||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
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||||||
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||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_i686_msvc"
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||||||
|
version = "0.52.0"
|
||||||
|
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||||||
|
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|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_gnu"
|
||||||
|
version = "0.48.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "53d40abd2583d23e4718fddf1ebec84dbff8381c07cae67ff7768bbf19c6718e"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_gnu"
|
||||||
|
version = "0.52.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "3d6fa32db2bc4a2f5abeacf2b69f7992cd09dca97498da74a151a3132c26befd"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_gnullvm"
|
||||||
|
version = "0.48.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "0b7b52767868a23d5bab768e390dc5f5c55825b6d30b86c844ff2dc7414044cc"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_gnullvm"
|
||||||
|
version = "0.52.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "1a657e1e9d3f514745a572a6846d3c7aa7dbe1658c056ed9c3344c4109a6949e"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_msvc"
|
||||||
|
version = "0.48.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "ed94fce61571a4006852b7389a063ab983c02eb1bb37b47f8272ce92d06d9538"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_msvc"
|
||||||
|
version = "0.52.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "dff9641d1cd4be8d1a070daf9e3773c5f67e78b4d9d42263020c057706765c04"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "xattr"
|
||||||
|
version = "1.1.3"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "a7dae5072fe1f8db8f8d29059189ac175196e410e40ba42d5d4684ae2f750995"
|
||||||
|
dependencies = [
|
||||||
|
"libc",
|
||||||
|
"linux-raw-sys",
|
||||||
|
"rustix",
|
||||||
|
]
|
||||||
|
|||||||
@@ -7,3 +7,4 @@ edition = "2021"
|
|||||||
|
|
||||||
[dependencies]
|
[dependencies]
|
||||||
ndarray = "0.15.0"
|
ndarray = "0.15.0"
|
||||||
|
ndarray-linalg = { version = "0.16.0", features = [ "openblas-static"]}
|
||||||
|
|||||||
25
readme.md
25
readme.md
@@ -1,3 +1,28 @@
|
|||||||
# :bridge_at_night: fea :globe_with_meridians:
|
# :bridge_at_night: fea :globe_with_meridians:
|
||||||
|
|
||||||
> A simple finite element analysis solver made for educational purposes
|
> A simple finite element analysis solver made for educational purposes
|
||||||
|
|
||||||
|
|
||||||
|
Currently the project can only be used to solve beam element problems where all points are constrained
|
||||||
|
by boundary conditions, but this will be improved in future.
|
||||||
|
The project also has no GUI for defining the problem at the moment, and must be written
|
||||||
|
in rust (see [`src/bin/two_d.rs`](./src/bin/two_d.rs) for an example of setting up a problem).
|
||||||
|
|
||||||
|
## Requirements
|
||||||
|
|
||||||
|
- [OpenBLAS](https://github.com/OpenMathLib/OpenBLAS)
|
||||||
|
- A FORTRAN compiler, such as [GFortran](https://gcc.gnu.org/fortran/)
|
||||||
|
|
||||||
|
To install on an Arch based distro:
|
||||||
|
|
||||||
|
```
|
||||||
|
pacman -S blas-openblas gcc-fortran
|
||||||
|
```
|
||||||
|
|
||||||
|
# Format Specifications
|
||||||
|
|
||||||
|
The project will likely be composed of multiple independent programs as it is developed.
|
||||||
|
The formats specified in the [specs folder](./specs) will be used to to exchange information between
|
||||||
|
the programs.
|
||||||
|
|
||||||
|
- [PD2v1](./specs/pd2v1.md) (2D Problem Definition Version 1)
|
||||||
|
|||||||
111
specs/pd2v1.md
Normal file
111
specs/pd2v1.md
Normal file
@@ -0,0 +1,111 @@
|
|||||||
|
# 2D Problem Definition Version 1 (PD2v1) Specification
|
||||||
|
|
||||||
|
A format for defining shapes that humans can write and machines can read.
|
||||||
|
|
||||||
|
I think it should have a better name.
|
||||||
|
|
||||||
|
## Usage
|
||||||
|
|
||||||
|
### Beam Elements (BE)
|
||||||
|
|
||||||
|
Beam element problem definitions use points to represent nodes and links to represent
|
||||||
|
beams.
|
||||||
|
|
||||||
|
A given point (node) can be connected to any number of links (beams).
|
||||||
|
|
||||||
|
### Finite Elements (FE)
|
||||||
|
|
||||||
|
Finite element problem definitions use points to represent nodes and links to represent
|
||||||
|
edges.
|
||||||
|
|
||||||
|
A given point (node) can only be connected to two links (edges).
|
||||||
|
|
||||||
|
### Mesh
|
||||||
|
|
||||||
|
The spec can also be used to export meshes by using fixed boundary conditions and definining a set
|
||||||
|
of `LINK_PROPS` that can be ignored (i.e. `LINK_PROPS ignore 0 0`).
|
||||||
|
|
||||||
|
## Types
|
||||||
|
|
||||||
|
### REAL
|
||||||
|
|
||||||
|
A real number
|
||||||
|
|
||||||
|
#### Examples
|
||||||
|
|
||||||
|
```
|
||||||
|
0
|
||||||
|
-1
|
||||||
|
1
|
||||||
|
-1.0
|
||||||
|
1.0
|
||||||
|
9999999.999999
|
||||||
|
```
|
||||||
|
|
||||||
|
### IDs (`ID`)
|
||||||
|
|
||||||
|
String that can include numbers, letters, underscores (`_`), and dashes (`-`).
|
||||||
|
|
||||||
|
### Boundary condition types (`BC_TYPE`)
|
||||||
|
|
||||||
|
- `NONE`
|
||||||
|
- `FIXED`
|
||||||
|
- `FORCE <VEC_ID>`
|
||||||
|
|
||||||
|
## Syntax
|
||||||
|
|
||||||
|
### Comments
|
||||||
|
|
||||||
|
```
|
||||||
|
// comments begin with // and end at the end of a line
|
||||||
|
```
|
||||||
|
|
||||||
|
### Definitions
|
||||||
|
|
||||||
|
Each definiton goes on its own line.
|
||||||
|
Definitons cannot refer to IDs of objects that are defined in latter lines.
|
||||||
|
|
||||||
|
Every ID given for every object must be unqiue amongst its object type but not between types (although it is fine if it is).
|
||||||
|
All definitions are immutable.
|
||||||
|
|
||||||
|
| Object Type | Syntax |
|
||||||
|
|--------------------|----------------------------------------------------------|
|
||||||
|
| Boundary Condition | `BOUNDARY_CONDITION <ID ID> <BC_TYPE BC_TYPE>` |
|
||||||
|
| Link | `LINK <ID ID> <ID LINK_PROPS> <ID NODE_ID> <ID NODE_ID>` |
|
||||||
|
| Link Properties | `LINK_PROPS <ID ID> <ID MATERIAL> <REAL AREA>` |
|
||||||
|
| Material | `MATERIAL <ID ID> <REAL YOUNGS_MODULUS>` |
|
||||||
|
| Point | `POINT <ID ID> <ID VEC_ID> <ID BOUNDARY_CONDITION>` |
|
||||||
|
| Vector | `VEC <ID ID> <REAL X> <REAL Y>` |
|
||||||
|
|
||||||
|
|
||||||
|
## Example
|
||||||
|
|
||||||
|
### Beam Element
|
||||||
|
|
||||||
|
```
|
||||||
|
// Define a fixed boundary conditon as it can be shared by all fixed points
|
||||||
|
BOUNDARY_CONDITION bc_fixed FIXED
|
||||||
|
MATERIAL aluminium 210000000000 250000000
|
||||||
|
LINK_PROPS beam_props aluminium 0.0019635
|
||||||
|
|
||||||
|
// Define the first node
|
||||||
|
VEC point1_pos 0 0
|
||||||
|
POINT point1 point1_pos bc_fixed
|
||||||
|
|
||||||
|
// Define node with force boundary condition
|
||||||
|
VEC point4_pos 1.7321 1
|
||||||
|
VEC bc4_mag 14142 14142
|
||||||
|
BOUNDARY_CONDITION bc4 FORCE bc4_mag
|
||||||
|
POINT point4 point4_pos bc4
|
||||||
|
|
||||||
|
// Define rest of the nodes
|
||||||
|
VEC point2_pos 0 1.1547
|
||||||
|
POINT point2 point2_pos bc_fixed
|
||||||
|
VEC point3_pos 0 4.4641
|
||||||
|
POINT point3 point3_pos bc_fixed
|
||||||
|
|
||||||
|
// And finally link the nodes together to create the beams
|
||||||
|
LINK link1 beam_props point1 point4
|
||||||
|
LINK link2 beam_props point2 point4
|
||||||
|
LINK link3 beam_props point3 point4
|
||||||
|
```
|
||||||
124
specs/pd2v1_drawer.html
Normal file
124
specs/pd2v1_drawer.html
Normal file
@@ -0,0 +1,124 @@
|
|||||||
|
<!DOCTYPE html>
|
||||||
|
<head>
|
||||||
|
<meta name="viewport" content="width=device-width, initial-scale=1">
|
||||||
|
<link rel="stylesheet" type="text/css" href="https://styles.alv.cx/colors/gruvbox.css" />
|
||||||
|
<link rel="stylesheet" type="text/css" href="https://styles.alv.cx/base.css" />
|
||||||
|
<link rel="stylesheet" type="text/css" href="https://styles.alv.cx/modules/darkmode.css" />
|
||||||
|
<style>
|
||||||
|
body {
|
||||||
|
margin: 0 auto 0 auto;
|
||||||
|
padding: 0;
|
||||||
|
height: 100vh;
|
||||||
|
display: flex;
|
||||||
|
flex-direction: column;
|
||||||
|
align-items: center;
|
||||||
|
}
|
||||||
|
|
||||||
|
#canvas {
|
||||||
|
width: 100%;
|
||||||
|
height: 70%;
|
||||||
|
}
|
||||||
|
|
||||||
|
#options {
|
||||||
|
display: flex;
|
||||||
|
align-items: center;
|
||||||
|
}
|
||||||
|
|
||||||
|
#force_x, #force_y {
|
||||||
|
width: 6em;
|
||||||
|
}
|
||||||
|
|
||||||
|
.hidden {
|
||||||
|
display: none;
|
||||||
|
}
|
||||||
|
</style>
|
||||||
|
<title>PD2v1 Drawer</title>
|
||||||
|
</head>
|
||||||
|
<body>
|
||||||
|
<canvas id="canvas"></canvas>
|
||||||
|
<div id="options">
|
||||||
|
<label for="bc_select">Boundary condition type: </label>
|
||||||
|
<select id="bc_select">
|
||||||
|
<option value="NONE">NONE</option>
|
||||||
|
<option value="FIXED">FIXED</option>
|
||||||
|
<option value="FORCE">FORCE</option>
|
||||||
|
</select>
|
||||||
|
<input type="number" id="force_x" name="force_x" placeholder="Force (X)" class="hidden">
|
||||||
|
<input type="number" id="force_y" name="force_y" placeholder="Force (Y)" class="hidden">
|
||||||
|
</div>
|
||||||
|
<script>
|
||||||
|
const MB_LEFT = "MB_LEFT";
|
||||||
|
const MB_RIGHT = "MB_RIGHT";
|
||||||
|
const MB_MIDDLE = "MB_MIDDLE";
|
||||||
|
|
||||||
|
const style = getComputedStyle(document.body);
|
||||||
|
const canvas = document.getElementById("canvas");
|
||||||
|
const ctx = canvas.getContext("2d");
|
||||||
|
const input_bc_select = document.getElementById("bc_select");
|
||||||
|
const input_force_x = document.getElementById("force_x");
|
||||||
|
const input_force_y = document.getElementById("force_y");
|
||||||
|
|
||||||
|
let points = [];
|
||||||
|
let links = [];
|
||||||
|
|
||||||
|
function handleCanvasClick(ev, mouse_button) {
|
||||||
|
ev.preventDefault();
|
||||||
|
|
||||||
|
const rect = canvas.getBoundingClientRect();
|
||||||
|
const x = (ev.clientX - rect.left)/rect.width;
|
||||||
|
const y = (ev.clientY - rect.top)/rect.height;
|
||||||
|
console.log(x, y, mouse_button);
|
||||||
|
|
||||||
|
if (mouse_button === MB_LEFT) {
|
||||||
|
addPoint(x, y, input_bc_select.value, input_force_x.value, input_force_y.value);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
function updateBcInputs() {
|
||||||
|
if (input_bc_select.value === "FORCE") {
|
||||||
|
input_force_x.classList.remove("hidden");
|
||||||
|
input_force_y.classList.remove("hidden");
|
||||||
|
} else {
|
||||||
|
input_force_x.classList.add("hidden");
|
||||||
|
input_force_y.classList.add("hidden");
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
function addPoint(x, y, bc_type, bc_fx, bc_fy) {
|
||||||
|
points.push({
|
||||||
|
x: x,
|
||||||
|
y: y,
|
||||||
|
boundary_condition: {
|
||||||
|
type: bc_type,
|
||||||
|
force_x: bc_fx,
|
||||||
|
force_y: bc_fy
|
||||||
|
}
|
||||||
|
});
|
||||||
|
|
||||||
|
redraw();
|
||||||
|
}
|
||||||
|
|
||||||
|
function redraw() {
|
||||||
|
const canvas_styles = getComputedStyle(canvas);
|
||||||
|
canvas.height = canvas_styles.height.slice(0, -2);
|
||||||
|
canvas.width = canvas_styles.width.slice(0, -2);
|
||||||
|
const rect = canvas.getBoundingClientRect();
|
||||||
|
ctx.fillStyle = style.getPropertyValue("--fg");
|
||||||
|
ctx.fillRect(0, 0, rect.width, rect.height);
|
||||||
|
|
||||||
|
ctx.fillStyle = style.getPropertyValue("--red");
|
||||||
|
points.forEach(point => {
|
||||||
|
ctx.beginPath();
|
||||||
|
ctx.arc(point.x*rect.width, point.y*rect.height, rect.width/60, 0, 2*Math.PI);
|
||||||
|
ctx.fill();
|
||||||
|
})
|
||||||
|
}
|
||||||
|
|
||||||
|
canvas.addEventListener("click", ev => handleCanvasClick(ev, MB_LEFT));
|
||||||
|
canvas.addEventListener("contextmenu", ev => handleCanvasClick(ev, MB_RIGHT));
|
||||||
|
input_bc_select.addEventListener("change", updateBcInputs);
|
||||||
|
|
||||||
|
updateBcInputs();
|
||||||
|
redraw();
|
||||||
|
</script>
|
||||||
|
</body>
|
||||||
@@ -1,5 +1,8 @@
|
|||||||
use fea::two_d::beam_elements::*;
|
use fea::two_d::beam_elements::*;
|
||||||
use fea::two_d::*;
|
use fea::two_d::*;
|
||||||
|
use fea::Value;
|
||||||
|
use ndarray::prelude::*;
|
||||||
|
use ndarray_linalg::Solve;
|
||||||
|
|
||||||
fn main() {
|
fn main() {
|
||||||
let student_id_last_digit = 9_f32;
|
let student_id_last_digit = 9_f32;
|
||||||
@@ -20,12 +23,11 @@ fn main() {
|
|||||||
let p2 = Point {
|
let p2 = Point {
|
||||||
id: 2,
|
id: 2,
|
||||||
pos: Vector(0.0, l * theta.sin()),
|
pos: Vector(0.0, l * theta.sin()),
|
||||||
bc: BoundaryCondition::Force(Vector(0.0, 1000.0)),
|
bc: BoundaryCondition::Fixed,
|
||||||
beams: vec![],
|
beams: vec![],
|
||||||
};
|
};
|
||||||
|
|
||||||
let l_e3 = 2.0 / theta.sin();
|
let l_e3 = 2.0 / theta.sin();
|
||||||
println!("l_e3 {l_e3}");
|
|
||||||
|
|
||||||
let p3 = Point {
|
let p3 = Point {
|
||||||
id: 3,
|
id: 3,
|
||||||
@@ -80,6 +82,33 @@ fn main() {
|
|||||||
)
|
)
|
||||||
.unwrap();
|
.unwrap();
|
||||||
|
|
||||||
println!("{:?}", w);
|
println!("w = {:?}", w);
|
||||||
println!("{:?}", w.stiffness_matrix().unwrap());
|
println!("w.shape() = {:?}", w.shape());
|
||||||
|
|
||||||
|
let stiffness = Array2::from_shape_vec(w.shape(), w.stiffness()).unwrap();
|
||||||
|
println!("w.stiffness = \n{:?}", stiffness);
|
||||||
|
println!("w.displacement() = {:?}", w.displacement());
|
||||||
|
println!("w.force() = {:?}", w.force());
|
||||||
|
|
||||||
|
let reduced_stiffness =
|
||||||
|
Array2::from_shape_vec(w.reduced_shape(), w.reduced_stiffness()).unwrap();
|
||||||
|
let reduced_force = w
|
||||||
|
.reduced_force()
|
||||||
|
.into_iter()
|
||||||
|
.map(|v| match v {
|
||||||
|
Value::Known(v) => v,
|
||||||
|
Value::Unknown => panic!("Unknown force at unknown vector!"),
|
||||||
|
})
|
||||||
|
.collect();
|
||||||
|
let reduced_force = Array1::from_shape_vec(w.reduced_dof(), reduced_force).unwrap();
|
||||||
|
let reduced_displacement =
|
||||||
|
Array2::from_shape_vec((1, w.reduced_dof()), w.reduced_displacement()).unwrap();
|
||||||
|
println!("w.reduced_stiffness() = \n{:?}", reduced_stiffness);
|
||||||
|
println!("w.reduced_force() = {:?}", reduced_force);
|
||||||
|
println!("w.reduced_displacement() = {:?}", reduced_displacement);
|
||||||
|
|
||||||
|
println!(
|
||||||
|
"soln: {:?}",
|
||||||
|
reduced_stiffness.solve_into(reduced_force).unwrap(),
|
||||||
|
)
|
||||||
}
|
}
|
||||||
|
|||||||
@@ -5,3 +5,9 @@ pub struct Material {
|
|||||||
pub youngs_modulus: f32,
|
pub youngs_modulus: f32,
|
||||||
pub yield_stress: f32,
|
pub yield_stress: f32,
|
||||||
}
|
}
|
||||||
|
|
||||||
|
#[derive(Clone, Debug, PartialEq)]
|
||||||
|
pub enum Value {
|
||||||
|
Unknown,
|
||||||
|
Known(f32),
|
||||||
|
}
|
||||||
|
|||||||
@@ -1,5 +1,5 @@
|
|||||||
use super::*;
|
use super::*;
|
||||||
use ndarray::prelude::*;
|
use crate::Value;
|
||||||
use std::cell::RefCell;
|
use std::cell::RefCell;
|
||||||
use std::collections::HashMap;
|
use std::collections::HashMap;
|
||||||
use std::rc::Rc;
|
use std::rc::Rc;
|
||||||
@@ -11,8 +11,24 @@ pub struct World {
|
|||||||
}
|
}
|
||||||
|
|
||||||
impl World {
|
impl World {
|
||||||
pub fn stiffness_matrix(&self) -> Result<Array<f32, Ix2>, String> {
|
pub fn dof(&self) -> usize {
|
||||||
let dof = self.points.len() * 2;
|
self.points.len() * 2
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn reduced_dof(&self) -> usize {
|
||||||
|
self.reduced_displacement().len()
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn shape(&self) -> (usize, usize) {
|
||||||
|
(self.dof(), self.dof())
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn reduced_shape(&self) -> (usize, usize) {
|
||||||
|
(self.reduced_dof(), self.reduced_dof())
|
||||||
|
}
|
||||||
|
/// Create the stiffness matrix for the system of equations to solve
|
||||||
|
pub fn stiffness(&self) -> Vec<f32> {
|
||||||
|
let dof = self.dof();
|
||||||
let mut a: Vec<f32> = vec![0.0; dof.pow(2)];
|
let mut a: Vec<f32> = vec![0.0; dof.pow(2)];
|
||||||
|
|
||||||
for point in self.points.values() {
|
for point in self.points.values() {
|
||||||
@@ -53,10 +69,84 @@ impl World {
|
|||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
match Array2::from_shape_vec((dof, dof), a) {
|
a
|
||||||
Ok(arr) => Ok(arr),
|
}
|
||||||
Err(e) => Err(e.to_string()),
|
fn idx_to_coord(&self, idx: usize) -> (usize, usize) {
|
||||||
|
let shape = self.shape();
|
||||||
|
|
||||||
|
let row = idx / shape.0;
|
||||||
|
let col = idx - (row * shape.0);
|
||||||
|
|
||||||
|
(row, col)
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn reduced_stiffness(&self) -> Vec<f32> {
|
||||||
|
let d = self.displacement();
|
||||||
|
|
||||||
|
self.stiffness()
|
||||||
|
.into_iter()
|
||||||
|
.enumerate()
|
||||||
|
.filter(|&(i, _)| {
|
||||||
|
let (row, col) = self.idx_to_coord(i);
|
||||||
|
//println!("row = {} d[row] = {:?}", row, d[row]);
|
||||||
|
//println!("col = {} d[col] = {:?}", col, d[col]);
|
||||||
|
d[row] == Value::Unknown && d[col] == Value::Unknown
|
||||||
|
})
|
||||||
|
.map(|(_, e)| e)
|
||||||
|
.collect()
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn displacement(&self) -> Vec<Value> {
|
||||||
|
let mut a = vec![Value::Known(0_f32); self.dof()];
|
||||||
|
|
||||||
|
for point in self.points.values() {
|
||||||
|
let point = point.borrow();
|
||||||
|
let ax = 2 * (point.id - 1);
|
||||||
|
let ay = ax + 1;
|
||||||
|
|
||||||
|
if let BoundaryCondition::Fixed = point.bc {
|
||||||
|
continue;
|
||||||
|
}
|
||||||
|
|
||||||
|
a[ax] = Value::Unknown;
|
||||||
|
a[ay] = Value::Unknown;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
a
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn reduced_displacement(&self) -> Vec<Value> {
|
||||||
|
self.displacement()
|
||||||
|
.into_iter()
|
||||||
|
.filter(|d| *d == Value::Unknown)
|
||||||
|
.collect::<Vec<_>>()
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn force(&self) -> Vec<Value> {
|
||||||
|
let mut a = vec![Value::Unknown; self.dof()];
|
||||||
|
for point in self.points.values() {
|
||||||
|
let point = point.borrow();
|
||||||
|
let ax = 2 * (point.id - 1);
|
||||||
|
let ay = ax + 1;
|
||||||
|
|
||||||
|
if let BoundaryCondition::Force(v) = &point.bc {
|
||||||
|
a[ax] = Value::Known(v.0);
|
||||||
|
a[ay] = Value::Known(v.1);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
a
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn reduced_force(&self) -> Vec<Value> {
|
||||||
|
let d = self.displacement();
|
||||||
|
|
||||||
|
self.force()
|
||||||
|
.into_iter()
|
||||||
|
.enumerate()
|
||||||
|
.filter(|&(i, _)| d[i] == Value::Unknown)
|
||||||
|
.map(|(_, f)| f)
|
||||||
|
.collect()
|
||||||
}
|
}
|
||||||
|
|
||||||
pub fn link(&mut self, id1: usize, id2: usize, new_beam: NewBeam) -> Result<(), &str> {
|
pub fn link(&mut self, id1: usize, id2: usize, new_beam: NewBeam) -> Result<(), &str> {
|
||||||
|
|||||||
Reference in New Issue
Block a user