CBLAS/include/cblas.h(3)

📦

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💖 CBLAS/include/cblas.h — Library Functions Manual 💖

okay so bestie, buckle up, because this is the header that runs the whole CBLAS show ✨ It lives in the Library Functions Manual, and it's basically the blueprint where every type, macro and enum gets defined before the actual BLAS functions get to do their thing. No cap.

🌸 NAME 🌸

CBLAS/include/cblas.h — the one, the only, the header file herself 👑

🎀 SYNOPSIS 🎀

So when you wanna pull this whole vibe into your code, you do:

#include <stddef.h>
#include <stdint.h>
#include <inttypes.h>
#include 'cblas_mangling.h'

(the last one is literally in single quotes in the original, yes, and we're keeping it exactly like that — character for character, periodt 🫶)

✨ Macros ✨

These are the little shortcuts that make everything else work. Obsessed with them honestly:

#define CBLAS_INDEX size_t /* this may vary between platforms */ — this is the index type, and heads up, it's size_t but it may vary between platforms, so don't go assuming it's always the same everywhere 🔥
#define CBLAS_INT int32_t — the integer type CBLAS rolls with. It's int32_t, no debate.
#define CBLAS_IFMT PRId32 — the matching format specifier for CBLAS_INT, so your printf calls don't get weird on you 💅
#define CBLAS_ORDER CBLAS_LAYOUT — and the comment on this one literally says it's "this for backward compatibility with CBLAS_ORDER" — so it's the old name hanging around like that one friend who never left the group chat. Keep it for compat, bestie 🫶
#define API_SUFFIX(a) — an empty macro, just sitting there doing its thing. It takes a and expands to... nothing. Iconic minimalism honestly.

🦋 Typedefs 🦋

The typedefs are basically just the enums wearing a nicer outfit — they let you write the type name without the enum keyword. Very main character energy:

typedef enum CBLAS_LAYOUT CBLAS_LAYOUT
typedef enum CBLAS_TRANSPOSE CBLAS_TRANSPOSE
typedef enum CBLAS_UPLO CBLAS_UPLO
typedef enum CBLAS_DIAG CBLAS_DIAG
typedef enum CBLAS_SIDE CBLAS_SIDE

Same name on both sides, yes, that's intentional, don't @ me 😭

🌈 Enumerations 🌈

now THIS is where the actual values live. Every single one, with its exact number, because numbers are sacred here ⭐

💜 `enum CBLAS_LAYOUT`

Tells CBLAS how your matrix is laid out in memory. Two options, and they're lowkey the whole personality of your data:

CblasRowMajor = 101 — rows first, one after another 🍓
CblasColMajor = 102 — columns first, slay 💅

enum CBLAS_LAYOUT { CblasRowMajor =101, CblasColMajor =102 }

🌸 `enum CBLAS_TRANSPOSE`

Do you want your matrix as-is, transposed, or transposed and conjugated? Yes, all three are real:

CblasNoTrans = 111 — leave it alone, don't touch it 🙈
CblasTrans = 112 — flip it 🔄
CblasConjTrans = 113 — flip it and conjugate it, fancy ✨

enum CBLAS_TRANSPOSE { CblasNoTrans =111, CblasTrans =112, CblasConjTrans =113 }

🧚 `enum CBLAS_UPLO`

Which triangle of the matrix are we even talking about? Because bestie, sometimes it's only half:

CblasUpper = 121 — the upper triangle 👑
CblasLower = 122 — the lower triangle 🫶

enum CBLAS_UPLO { CblasUpper =121, CblasLower =122 }

🎀 `enum CBLAS_DIAG`

Is the diagonal all ones, or is it whatever you actually put there? Big question:

CblasNonUnit = 131 — the diagonal is not all ones, it's real values 💀
CblasUnit = 132 — the diagonal is assumed to be all ones, so don't bother storing it ✨

enum CBLAS_DIAG { CblasNonUnit =131, CblasUnit =132 }

🔥 `enum CBLAS_SIDE`

For the operations that take a matrix from the left or the right — which side are we multiplying on?

CblasLeft = 141 — left side 💜
CblasRight = 142 — right side 🌈

enum CBLAS_SIDE { CblasLeft =141, CblasRight =142 }

and that's part one bestie — the types are all set up, the values are all locked in, and the vibe check passed with flying colors 💖 more coming, don't go anywhere 🦋

💅 the tiny magnitude helpers

double cblas_dcabs1 (const void *z)
float cblas_scabs1 (const void *c)

okay so these two are the littest helpers on the whole page fr fr. Both take a const void * — one's named z, one's named c — and hand you back a real number: a double for cblas_dcabs1, a float for cblas_scabs1. That's the whole personality. Iconic, minimal, no notes. 🎀

✨ dot dot dot (the products)

float cblas_sdsdot (const CBLAS_INT N, const float alpha, const float *X, const CBLAS_INT incX, const float *Y, const CBLAS_INT incY)
double cblas_dsdot (const CBLAS_INT N, const float *X, const CBLAS_INT incX, const float *Y, const CBLAS_INT incY)
float cblas_sdot (const CBLAS_INT N, const float *X, const CBLAS_INT incX, const float *Y, const CBLAS_INT incY)
double cblas_ddot (const CBLAS_INT N, const double *X, const CBLAS_INT incX, const double *Y, const CBLAS_INT incY)
void cblas_cdotu_sub (const CBLAS_INT N, const void *X, const CBLAS_INT incX, const void *Y, const CBLAS_INT incY, void *dotu)
void cblas_cdotc_sub (const CBLAS_INT N, const void *X, const CBLAS_INT incX, const void *Y, const CBLAS_INT incY, void *dotc)
void cblas_zdotu_sub (const CBLAS_INT N, const void *X, const CBLAS_INT incX, const void *Y, const CBLAS_INT incY, void *dotu)
void cblas_zdotc_sub (const CBLAS_INT N, const void *X, const CBLAS_INT incX, const void *Y, const CBLAS_INT incY, void *dotc)

the way there are like eight of these 😭 bestie, the family tree is thriving. Notice how the first four literally just return your answer (a float or a double) — so casual of them — while the four _sub ones make you pass in dotu / dotc and write the result out through the pointer. different vibe, same job.

oh and cblas_sdsdot is the extra one: it's got that bonus alpha (a float) sitting there in position two, plus X and Y are both const float * even though it hands back a double. cblas_dsdot has the same float inputs and double output but no alpha. not me noticing that detail immediately 👀

🦋 norms and absolute-value sums

float cblas_snrm2 (const CBLAS_INT N, const float *X, const CBLAS_INT incX)
float cblas_sasum (const CBLAS_INT N, const float *X, const CBLAS_INT incX)
double cblas_dnrm2 (const CBLAS_INT N, const double *X, const CBLAS_INT incX)
double cblas_dasum (const CBLAS_INT N, const double *X, const CBLAS_INT incX)
float cblas_scnrm2 (const CBLAS_INT N, const void *X, const CBLAS_INT incX)
float cblas_scasum (const CBLAS_INT N, const void *X, const CBLAS_INT incX)
double cblas_dznrm2 (const CBLAS_INT N, const void *X, const CBLAS_INT incX)
double cblas_dzasum (const CBLAS_INT N, const void *X, const CBLAS_INT incX)

eight of them, all matching the same shape: N, then your vector, then incX. the nrm2 girlies and the asum girlies. real versions (s, d) take typed pointers, complex versions (sc, dz) take const void * because they're mysterious and too good for a normal type 💅

🔥 index of the biggest one

CBLAS_INDEX cblas_isamax (const CBLAS_INT N, const float *X, const CBLAS_INT incX)
CBLAS_INDEX cblas_idamax (const CBLAS_INT N, const double *X, const CBLAS_INT incX)
CBLAS_INDEX cblas_icamax (const CBLAS_INT N, const void *X, const CBLAS_INT incX)
CBLAS_INDEX cblas_izamax (const CBLAS_INT N, const void *X, const CBLAS_INT incX)

these four hand you back a CBLAS_INDEX instead of a float, which is so them. same three args every time: N, X, incX. slay. 🫶

🎀 swap, copy, axpy (a.k.a. the level-1 workhorses)

void cblas_sswap (const CBLAS_INT N, float *X, const CBLAS_INT incX, float *Y, const CBLAS_INT incY)
void cblas_scopy (const CBLAS_INT N, const float *X, const CBLAS_INT incX, float *Y, const CBLAS_INT incY)
void cblas_saxpy (const CBLAS_INT N, const float alpha, const float *X, const CBLAS_INT incX, float *Y, const CBLAS_INT incY)
void cblas_dswap (const CBLAS_INT N, double *X, const CBLAS_INT incX, double *Y, const CBLAS_INT incY)
void cblas_dcopy (const CBLAS_INT N, const double *X, const CBLAS_INT incX, double *Y, const CBLAS_INT incY)
void cblas_daxpy (const CBLAS_INT N, const double alpha, const double *X, const CBLAS_INT incX, double *Y, const CBLAS_INT incY)
void cblas_cswap (const CBLAS_INT N, void *X, const CBLAS_INT incX, void *Y, const CBLAS_INT incY)
void cblas_ccopy (const CBLAS_INT N, const void *X, const CBLAS_INT incX, void *Y, const CBLAS_INT incY)
void cblas_caxpy (const CBLAS_INT N, const void *alpha, const void *X, const CBLAS_INT incX, void *Y, const CBLAS_INT incY)
void cblas_zswap (const CBLAS_INT N, void *X, const CBLAS_INT incX, void *Y, const CBLAS_INT incY)
void cblas_zcopy (const CBLAS_INT N, const void *X, const CBLAS_INT incX, void *Y, const CBLAS_INT incY)
void cblas_zaxpy (const CBLAS_INT N, const void *alpha, const void *X, const CBLAS_INT incX, void *Y, const CBLAS_INT incY)

look at the consts bestie. in the copy and axpy rows, X is const and Y is not — that's the code literally telling you which one is the input and which one gets written to 😌 meanwhile in swap neither is const, because both get rewritten. the audacity. also notice the complex ones (c, z) use void * for everything and alpha is a void * too, while the real ones use plain float / double alphas. consistent queen behaviour 👑

🌸 modified rotations

void cblas_srotmg (float *d1, float *d2, float *b1, const float b2, float *P)
void cblas_srotm (const CBLAS_INT N, float *X, const CBLAS_INT incX, float *Y, const CBLAS_INT incY, const float *P)
void cblas_drotmg (double *d1, double *d2, double *b1, const double b2, double *P)
void cblas_drotm (const CBLAS_INT N, double *X, const CBLAS_INT incX, double *Y, const CBLAS_INT incY, const double *P)

the *mg ones are the setup girls — three pointers, one lone const scalar (b2), and P at the end. the *m ones are the apply girls — N, X, incX, Y, incY, and P again but const this time. see how they pair up? so cute. 🧚

⭐ scaling

void cblas_sscal (const CBLAS_INT N, const float alpha, float *X, const CBLAS_INT incX)
void cblas_dscal (const CBLAS_INT N, const double alpha, double *X, const CBLAS_INT incX)
void cblas_cscal (const CBLAS_INT N, const void *alpha, void *X, const CBLAS_INT incX)
void cblas_zscal (const CBLAS_INT N, const void *alpha, void *X, const CBLAS_INT incX)
void cblas_csscal (const CBLAS_INT N, const float alpha, void *X, const CBLAS_INT incX)
void cblas_zdscal (const CBLAS_INT N, const double alpha, void *X, const CBLAS_INT incX)

the regular cscal / zscal take a const void *alpha, but the double-letter ones (csscal, zdscal) switch alpha to a real type — float and double respectively — while X stays void *. tiny detail, huge difference, iykyk 💖

🌈 givens rotations (the setup)

void cblas_srotg (float *a, float *b, float *c, float *s)
void cblas_drotg (double *a, double *b, double *c, double *s)
void cblas_crotg (void *a, void *b, float *c, void *s)
void cblas_zrotg (void *a, void *b, double *c, void *s)

four pointers, no return value, vibes immaculate. and look — in the complex ones (crotg, zrotg), c is a real pointer (float * / double *) while everything else is void *. that's not a typo, that's just how she is 🙈

💜 givens rotations (the apply)

void cblas_srot (const CBLAS_INT N, float *X, const CBLAS_INT incX, float *Y, const CBLAS_INT incY, const float c, const float s)
void cblas_drot (const CBLAS_INT N, double *X, const CBLAS_INT incX, double *Y, const CBLAS_INT incY, const double c, const double s)
void cblas_csrot (const CBLAS_INT N, void *X, const CBLAS_INT incX, void *Y, const CBLAS_INT incY, const float c, const float s)
void cblas_zdrot (const CBLAS_INT N, void *X, const CBLAS_INT incX, void *Y, const CBLAS_INT incY, const double c, const double s)

N, X, incX, Y, incY, then c and s as plain const scalars. note csrot and zdrot are the mixed-precision cuties — void * vectors but real float / double rotation scalars. periodt. 🔥

👑 level-2 BLAS, single precision

void cblas_sgemv (const CBLAS_LAYOUT layout, const CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const float alpha, const float *A, const CBLAS_INT lda, const float *X, const CBLAS_INT incX, const float beta, float *Y, const CBLAS_INT incY)
void cblas_sgbmv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT KL, const CBLAS_INT KU, const float alpha, const float *A, const CBLAS_INT lda, const float *X, const CBLAS_INT incX, const float beta, float *Y, const CBLAS_INT incY)
void cblas_strmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const float *A, const CBLAS_INT lda, float *X, const CBLAS_INT incX)
void cblas_stbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const float *A, const CBLAS_INT lda, float *X, const CBLAS_INT incX)
void cblas_stpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const float *Ap, float *X, const CBLAS_INT incX)
void cblas_strsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const float *A, const CBLAS_INT lda, float *X, const CBLAS_INT incX)
void cblas_stbsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const float *A, const CBLAS_INT lda, float *X, const CBLAS_INT incX)
void cblas_stpsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const float *Ap, float *X, const CBLAS_INT incX)

okay inhale — this is the level-2 friend group and they're all serving structured-argument realness. 🫶

the gemv / gbmv branch keeps the same skeleton: layout, TransA, M, N, then alpha, const float *A, lda, const float *X, incX, beta, float *Y, incY. gbmv slid in extra KL and KU right after N because she's got bandwidth needs, and her layout / TransA params lost their const compared to sgemv. not me spotting that 😭

the trmv / trsv / tbmv / tbsv / tpmv / tpsv branch swaps in Uplo and Diag alongside TransA, drops alpha and beta entirely, and passes A as const float * with float *X as the thing being poked. the tb* ones take that extra K; the tp* ones use const float *Ap and no lda at all. see the pattern? she's consistent. 💅

⭐ level-2 BLAS, double precision

void cblas_dgemv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const double alpha, const double *A, const CBLAS_INT lda, const double *X, const CBLAS_INT incX, const double beta, double *Y, const CBLAS_INT incY)
void cblas_dgbmv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT KL, const CBLAS_INT KU, const double alpha, const double *A, const CBLAS_INT lda, const double *X, const CBLAS_INT incX, const double beta, double *Y, const CBLAS_INT incY)
void cblas_dtrmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const double *A, const CBLAS_INT lda, double *X, const CBLAS_INT incX)
void cblas_dtbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const double *A, const CBLAS_INT lda, double *X, const CBLAS_INT incX)
void cblas_dtpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const double *Ap, double *X, const CBLAS_INT incX)
void cblas_dtrsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const double *A, const CBLAS_INT lda, double *X, const CBLAS_INT incX)
void cblas_dtbsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const double *A, const CBLAS_INT lda, double *X, const CBLAS_INT incX)
void cblas_dtpsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const double *Ap, double *X, const CBLAS_INT incX)

literally the exact same eight, but every float got upgraded to double and every s became a d. no cap, that's the whole diff. she ate and left zero crumbs. 🍓

🧚 level-2 BLAS, complex (the `c` girlies)

void cblas_cgemv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const void *alpha, const void *A, const CBLAS_INT lda, const void *X, const CBLAS_INT incX, const void *beta, void *Y, const CBLAS_INT incY)
void cblas_cgbmv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT KL, const CBLAS_INT KU, const void *alpha, const void *A, const CBLAS_INT lda, const void *X, const CBLAS_INT incX, const void *beta, void *Y, const CBLAS_INT incY)
void cblas_ctrmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void *A, const CBLAS_INT lda, void *X, const CBLAS_INT incX)
void cblas_ctbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const void *A, const CBLAS_INT lda, void *X, const CBLAS_INT incX)
void cblas_ctpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void *Ap, void *X, const CBLAS_INT incX)
void cblas_ctrsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void *A, const CBLAS_INT lda, void *X, const CBLAS_INT incX)
void cblas_ctbsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const void *A, const CBLAS_INT lda, void *X, const CBLAS_INT incX)
void cblas_ctpsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void *Ap, void *X, const CBLAS_INT incX)

same lineup, but now alpha, A, X, beta, Y, Ap are all void * — with A, X, Ap, alpha, beta holding onto their const where they had it and Y / X staying mutable where they're outputs. the ints (layout, TransA, Uplo, Diag, M, N, K, KL, KU, lda, incX, incY) are untouched by all this void-pointer drama, bless them. 💀

💜 level-2 BLAS, double-complex (the `z` girlies)

void cblas_zgemv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const void *alpha, const void *A, const CBLAS_INT lda, const void *X, const CBLAS_INT incX, const void *beta, void *Y, const CBLAS_INT incY)
void cblas_zgbmv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const

and that's where this part runs out of page 😭 the zgbmv prototype literally gets cut off mid-sentence — she's mid-slay and we gotta wait for the next chunk. the z versions are gonna mirror the c ones exactly, but bestie, do not go assuming the rest of that signature into your code, okay? wait for the actual page. 🎀

heads up: every prototype above is quoted exactly as it appears in the header, so you can copy-paste straight into your #include <cblas.h> life without me messing with a single character. the vibes are mine, the signatures are hers. 🫶

okay bestie we are still in the synopsis and it is a long one 😭 this stretch is all about the triangular girlies, the symmetric squad, the Hermitian icons and then a big glowy finale with the gemm family 👑 every prototype stays exactly as written, so keep your eyes on the code blocks 🫶

first up, the tail end of a prototype from the last part — she got cut off mid-argument-list and is just vibing here on her own, no cap 💀

           CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT KL, const CBLAS_INT
           KU, const void *alpha, const void *A, const CBLAS_INT lda, const
           void *X, const CBLAS_INT incX, const void *beta, void *Y, const
           CBLAS_INT incY)

💜 the `z` triangular crew

complex double triangular vibes — and notice every scalar and array is a void * in here, that's just how she's spelled:

       void cblas_ztrmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void *A, const
           CBLAS_INT lda, void *X, const CBLAS_INT incX)
       void cblas_ztbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const
           void *A, const CBLAS_INT lda, void *X, const CBLAS_INT incX)
       void cblas_ztpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void *Ap, void *X,
           const CBLAS_INT incX)
       void cblas_ztrsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void *A, const
           CBLAS_INT lda, void *X, const CBLAS_INT incX)
       void cblas_ztbsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const
           void *A, const CBLAS_INT lda, void *X, const CBLAS_INT incX)
       void cblas_ztpsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void *Ap, void *X,
           const CBLAS_INT incX)

🌸 single precision, symmetric + rank updates

the float girlies ate this section, honestly — alpha and beta are plain float values in here, no pointers, super chill:

       void cblas_ssymv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const float alpha, const float *A, const CBLAS_INT lda, const
           float *X, const CBLAS_INT incX, const float beta, float *Y, const
           CBLAS_INT incY)
       void cblas_ssbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const CBLAS_INT K, const float alpha, const float *A, const
           CBLAS_INT lda, const float *X, const CBLAS_INT incX, const float
           beta, float *Y, const CBLAS_INT incY)
       void cblas_sspmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const float alpha, const float *Ap, const float *X, const
           CBLAS_INT incX, const float beta, float *Y, const CBLAS_INT incY)
       void cblas_sger (CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT
           N, const float alpha, const float *X, const CBLAS_INT incX, const
           float *Y, const CBLAS_INT incY, float *A, const CBLAS_INT lda)
       void cblas_ssyr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const float alpha, const float *X, const CBLAS_INT incX, float
           *A, const CBLAS_INT lda)
       void cblas_sspr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const float alpha, const float *X, const CBLAS_INT incX, float
           *Ap)
       void cblas_ssyr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const float alpha, const float *X, const CBLAS_INT incX, const
           float *Y, const CBLAS_INT incY, float *A, const CBLAS_INT lda)
       void cblas_sspr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const float alpha, const float *X, const CBLAS_INT incX, const
           float *Y, const CBLAS_INT incY, float *A)

✨ double precision, same energy

literally the exact same lineup but double everywhere — she's the glow-up edition 🎀:

       void cblas_dsymv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const double alpha, const double *A, const CBLAS_INT lda, const
           double *X, const CBLAS_INT incX, const double beta, double *Y, const
           CBLAS_INT incY)
       void cblas_dsbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const CBLAS_INT K, const double alpha, const double *A, const
           CBLAS_INT lda, const double *X, const CBLAS_INT incX, const double
           beta, double *Y, const CBLAS_INT incY)
       void cblas_dspmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const double alpha, const double *Ap, const double *X, const
           CBLAS_INT incX, const double beta, double *Y, const CBLAS_INT incY)
       void cblas_dger (CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT
           N, const double alpha, const double *X, const CBLAS_INT incX, const
           double *Y, const CBLAS_INT incY, double *A, const CBLAS_INT lda)
       void cblas_dsyr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const double alpha, const double *X, const CBLAS_INT incX, double
           *A, const CBLAS_INT lda)
       void cblas_dspr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const double alpha, const double *X, const CBLAS_INT incX, double
           *Ap)
       void cblas_dsyr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const double alpha, const double *X, const CBLAS_INT incX, const
           double *Y, const CBLAS_INT incY, double *A, const CBLAS_INT lda)
       void cblas_dspr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const double alpha, const double *X, const CBLAS_INT incX, const
           double *Y, const CBLAS_INT incY, double *A)

🦋 complex single, Hermitian edition

back to void * land — and yes, there's both cblas_cgeru and cblas_cgerc sitting right there next to each other, so please don't just skim and grab the wrong one 🙈:

       void cblas_chemv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const void *alpha, const void *A, const CBLAS_INT lda, const void
           *X, const CBLAS_INT incX, const void *beta, void *Y, const CBLAS_INT
           incY)
       void cblas_chbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const CBLAS_INT K, const void *alpha, const void *A, const
           CBLAS_INT lda, const void *X, const CBLAS_INT incX, const void
           *beta, void *Y, const CBLAS_INT incY)
       void cblas_chpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const void *alpha, const void *Ap, const void *X, const CBLAS_INT
           incX, const void *beta, void *Y, const CBLAS_INT incY)
       void cblas_cgeru (CBLAS_LAYOUT layout, const CBLAS_INT M, const
           CBLAS_INT N, const void *alpha, const void *X, const CBLAS_INT incX,
           const void *Y, const CBLAS_INT incY, void *A, const CBLAS_INT lda)
       void cblas_cgerc (CBLAS_LAYOUT layout, const CBLAS_INT M, const
           CBLAS_INT N, const void *alpha, const void *X, const CBLAS_INT incX,
           const void *Y, const CBLAS_INT incY, void *A, const CBLAS_INT lda)
       void cblas_cher (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const float alpha, const void *X, const CBLAS_INT incX, void *A,
           const CBLAS_INT lda)
       void cblas_chpr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const float alpha, const void *X, const CBLAS_INT incX, void *A)
       void cblas_cher2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const void *alpha, const void *X, const CBLAS_INT incX, const
           void *Y, const CBLAS_INT incY, void *A, const CBLAS_INT lda)
       void cblas_chpr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const void *alpha, const void *X, const CBLAS_INT incX, const
           void *Y, const CBLAS_INT incY, void *Ap)

heads up bestie: cblas_cher and cblas_chpr take a const float alpha while everything around them takes const void *alpha — that's genuinely how she's written, don't "fix" it 💀

💜 complex double, the `z` twins

every single one of the above, but z — and same deal with cblas_zgeru vs cblas_zgerc 🔥:

       void cblas_zhemv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const void *alpha, const void *A, const CBLAS_INT lda, const void
           *X, const CBLAS_INT incX, const void *beta, void *Y, const CBLAS_INT
           incY)
       void cblas_zhbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const CBLAS_INT K, const void *alpha, const void *A, const
           CBLAS_INT lda, const void *X, const CBLAS_INT incX, const void
           *beta, void *Y, const CBLAS_INT incY)
       void cblas_zhpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const void *alpha, const void *Ap, const void *X, const CBLAS_INT
           incX, const void *beta, void *Y, const CBLAS_INT incY)
       void cblas_zgeru (CBLAS_LAYOUT layout, const CBLAS_INT M, const
           CBLAS_INT N, const void *alpha, const void *X, const CBLAS_INT incX,
           const void *Y, const CBLAS_INT incY, void *A, const CBLAS_INT lda)
       void cblas_zgerc (CBLAS_LAYOUT layout, const CBLAS_INT M, const
           CBLAS_INT N, const void *alpha, const void *X, const CBLAS_INT incX,
           const void *Y, const CBLAS_INT incY, void *A, const CBLAS_INT lda)
       void cblas_zher (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const double alpha, const void *X, const CBLAS_INT incX, void *A,
           const CBLAS_INT lda)
       void cblas_zhpr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const double alpha, const void *X, const CBLAS_INT incX, void *A)
       void cblas_zher2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const void *alpha, const void *X, const CBLAS_INT incX, const
           void *Y, const CBLAS_INT incY, void *A, const CBLAS_INT lda)
       void cblas_zhpr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT
           N, const void *alpha, const void *X, const CBLAS_INT incX, const
           void *Y, const CBLAS_INT incY, void *Ap)

👑 level 3, single precision — main character energy

okay this is the part everyone actually came for, the matrix-matrix headliners 🎀 and yes cblas_sgemmtr is real, she's right there between gemm and symm:

       void cblas_sgemm (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA,
           CBLAS_TRANSPOSE TransB, const CBLAS_INT M, const CBLAS_INT N, const
           CBLAS_INT K, const float alpha, const float *A, const CBLAS_INT lda,
           const float *B, const CBLAS_INT ldb, const float beta, float *C,
           const CBLAS_INT ldc)
       void cblas_sgemmtr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT N,
           const CBLAS_INT K, const float alpha, const float *A, const
           CBLAS_INT lda, const float *B, const CBLAS_INT ldb, const float
           beta, float *C, const CBLAS_INT ldc)
       void cblas_ssymm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           const CBLAS_INT M, const CBLAS_INT N, const float alpha, const float
           *A, const CBLAS_INT lda, const float *B, const CBLAS_INT ldb, const
           float beta, float *C, const CBLAS_INT ldc)
       void cblas_ssyrk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const float alpha,
           const float *A, const CBLAS_INT lda, const float beta, float *C,
           const CBLAS_INT ldc)
       void cblas_ssyr2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const float alpha,
           const float *A, const CBLAS_INT lda, const float *B, const CBLAS_INT
           ldb, const float beta, float *C, const CBLAS_INT ldc)
       void cblas_strmm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
           CBLAS_INT N, const float alpha, const float *A, const CBLAS_INT lda,
           float *B, const CBLAS_INT ldb)
       void cblas_strsm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
           CBLAS_INT N, const float alpha, const float *A, const CBLAS_INT lda,
           float *B, const CBLAS_INT ldb)

note the vibe shift: cblas_strmm and cblas_strsm take float *B (not const) because they write into it, while A stays const float * 🫶

🔥 level 3, double precision

same lineup, double glow-up — and heads up, cblas_dsymm gets cut off right at the edge of this chunk, so don't panic when the code block just ends mid-signature 💀 she carries on in the next part:

       void cblas_dgemm (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA,
           CBLAS_TRANSPOSE TransB, const CBLAS_INT M, const CBLAS_INT N, const
           CBLAS_INT K, const double alpha, const double *A, const CBLAS_INT
           lda, const double *B, const CBLAS_INT ldb, const double beta, double
           *C, const CBLAS_INT ldc)
       void cblas_dgemmtr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT N,
           const CBLAS_INT K, const double alpha, const double *A, const
           CBLAS_INT lda, const double *B, const CBLAS_INT ldb, const double
           beta, double *C, const CBLAS_INT ldc)
       void cblas_dsymm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,

...and the synopsis scroll continues, bestie — same energy, just more prototypes 💅

           const CBLAS_INT M, const CBLAS_INT N, const double alpha, const
           double *A, const CBLAS_INT lda, const double *B, const CBLAS_INT
           ldb, const double beta, double *C, const CBLAS_INT ldc)
       void cblas_dsyrk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const double alpha,
           const double *A, const CBLAS_INT lda, const double beta, double *C,
           const CBLAS_INT ldc)
       void cblas_dsyr2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const double alpha,
           const double *A, const CBLAS_INT lda, const double *B, const
           CBLAS_INT ldb, const double beta, double *C, const CBLAS_INT ldc)
       void cblas_dtrmm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
           CBLAS_INT N, const double alpha, const double *A, const CBLAS_INT
           lda, double *B, const CBLAS_INT ldb)
       void cblas_dtrsm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
           CBLAS_INT N, const double alpha, const double *A, const CBLAS_INT
           lda, double *B, const CBLAS_INT ldb)
       void cblas_cgemm (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA,
           CBLAS_TRANSPOSE TransB, const CBLAS_INT M, const CBLAS_INT N, const
           CBLAS_INT K, const void *alpha, const void *A, const CBLAS_INT lda,
           const void *B, const CBLAS_INT ldb, const void *beta, void *C, const
           CBLAS_INT ldc)
       void cblas_cgemmtr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT N,
           const CBLAS_INT K, const void *alpha, const void *A, const CBLAS_INT
           lda, const void *B, const CBLAS_INT ldb, const void *beta, void *C,
           const CBLAS_INT ldc)
       void cblas_csymm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           const CBLAS_INT M, const CBLAS_INT N, const void *alpha, const void
           *A, const CBLAS_INT lda, const void *B, const CBLAS_INT ldb, const
           void *beta, void *C, const CBLAS_INT ldc)
       void cblas_csyrk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const void *alpha,
           const void *A, const CBLAS_INT lda, const void *beta, void *C, const
           CBLAS_INT ldc)
       void cblas_csyr2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const void *alpha,
           const void *A, const CBLAS_INT lda, const void *B, const CBLAS_INT
           ldb, const void *beta, void *C, const CBLAS_INT ldc)
       void cblas_ctrmm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
           CBLAS_INT N, const void *alpha, const void *A, const CBLAS_INT lda,
           void *B, const CBLAS_INT ldb)
       void cblas_ctrsm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
           CBLAS_INT N, const void *alpha, const void *A, const CBLAS_INT lda,
           void *B, const CBLAS_INT ldb)
       void cblas_zgemm (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA,
           CBLAS_TRANSPOSE TransB, const CBLAS_INT M, const CBLAS_INT N, const
           CBLAS_INT K, const void *alpha, const void *A, const CBLAS_INT lda,
           const void *B, const CBLAS_INT ldb, const void *beta, void *C, const
           CBLAS_INT ldc)
       void cblas_zgemmtr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT N,
           const CBLAS_INT K, const void *alpha, const void *A, const CBLAS_INT
           lda, const void *B, const CBLAS_INT ldb, const void *beta, void *C,
           const CBLAS_INT ldc)
       void cblas_zsymm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           const CBLAS_INT M, const CBLAS_INT N, const void *alpha, const void
           *A, const CBLAS_INT lda, const void *B, const CBLAS_INT ldb, const
           void *beta, void *C, const CBLAS_INT ldc)
       void cblas_zsyrk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const void *alpha,
           const void *A, const CBLAS_INT lda, const void *beta, void *C, const
           CBLAS_INT ldc)
       void cblas_zsyr2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const void *alpha,
           const void *A, const CBLAS_INT lda, const void *B, const CBLAS_INT
           ldb, const void *beta, void *C, const CBLAS_INT ldc)
       void cblas_ztrmm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
           CBLAS_INT N, const void *alpha, const void *A, const CBLAS_INT lda,
           void *B, const CBLAS_INT ldb)
       void cblas_ztrsm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
           CBLAS_INT N, const void *alpha, const void *A, const CBLAS_INT lda,
           void *B, const CBLAS_INT ldb)
       void cblas_chemm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           const CBLAS_INT M, const CBLAS_INT N, const void *alpha, const void
           *A, const CBLAS_INT lda, const void *B, const CBLAS_INT ldb, const
           void *beta, void *C, const CBLAS_INT ldc)
       void cblas_cherk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const float alpha,
           const void *A, const CBLAS_INT lda, const float beta, void *C, const
           CBLAS_INT ldc)
       void cblas_cher2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const void *alpha,
           const void *A, const CBLAS_INT lda, const void *B, const CBLAS_INT
           ldb, const float beta, void *C, const CBLAS_INT ldc)
       void cblas_zhemm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
           const CBLAS_INT M, const CBLAS_INT N, const void *alpha, const void
           *A, const CBLAS_INT lda, const void *B, const CBLAS_INT ldb, const
           void *beta, void *C, const CBLAS_INT ldc)
       void cblas_zherk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const double alpha,
           const void *A, const CBLAS_INT lda, const double beta, void *C,
           const CBLAS_INT ldc)
       void cblas_zher2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
           Trans, const CBLAS_INT N, const CBLAS_INT K, const void *alpha,
           const void *A, const CBLAS_INT lda, const void *B, const CBLAS_INT
           ldb, const double beta, void *C, const CBLAS_INT ldc)
       void cblas_xerbla (CBLAS_INT p, const char *rout, const char *form,...)

okay that's the whole prototype parade 🎉 and now we get into the good stuff — the actual definitions. buckle up 🦋

🎀 Macro Definition Documentation 🎀

these are the little #defines sprinkled through the header. tiny but iconic ✨

#define API_SUFFIX( a) — its value is literally just a:

defined at line 57 of file cblas.h 💖

#define CBLAS_IFMT PRId32 — defined at line 35 of file cblas.h.
#define CBLAS_INDEX size_t /* this may vary between platforms */ — defined at line 15 of file cblas.h. bestie note the comment: it may vary between platforms 😭 so don't go assuming it's always the exact same type everywhere.
#define CBLAS_INT int32_t — defined at line 24 of file cblas.h.
#define CBLAS_ORDER CBLAS_LAYOUT /* this for backward compatibility with CBLAS_ORDER */ — defined at line 45 of file cblas.h. and yes the comment says the whole reason it exists is backward compatibility with CBLAS_ORDER 👑 respect the elders.

🌸 Typedef Documentation 🌸

five lil' enum aliases, all living their best life 🌈

typedef enum CBLAS_DIAG CBLAS_DIAG
typedef enum CBLAS_LAYOUT CBLAS_LAYOUT
typedef enum CBLAS_SIDE CBLAS_SIDE
typedef enum CBLAS_TRANSPOSE CBLAS_TRANSPOSE
typedef enum CBLAS_UPLO CBLAS_UPLO

🦋 Enumeration Type Documentation 🦋

the actual enumerators, one enum at a time, no gatekeeping 💅

`enum CBLAS_DIAG`

enumerators:

CblasNonUnit
CblasUnit

defined at line 42 of file cblas.h 🎀

`enum CBLAS_LAYOUT`

enumerators:

CblasRowMajor
CblasColMajor

defined at line 39 of file cblas.h ✨

`enum CBLAS_SIDE`

enumerators:

CblasLeft
CblasRight

defined at line 43 of file cblas.h 💖

`enum CBLAS_TRANSPOSE`

enumerators:

CblasNoTrans
CblasTrans
CblasConjTrans

defined at line 40 of file cblas.h 🫶

`enum CBLAS_UPLO`

enumerators:

CblasUpper
CblasLower

defined at line 41 of file cblas.h 🌸

👑 Function Documentation 👑

here's where each function actually lives — file and line, receipts and all 🧾 lowkey this is the most useful part, ngl.

void cblas_caxpy (const CBLAS_INT N, const void * alpha, const void * X, const CBLAS_INT incX, void * Y, const CBLAS_INT incY)

definition at line 11 of file cblas_caxpy.c 💅

void cblas_ccopy (const CBLAS_INT N, const void * X, const CBLAS_INT incX, void * Y, const CBLAS_INT incY)

definition at line 11 of file cblas_ccopy.c.

void cblas_cdotc_sub (const CBLAS_INT N, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * dotc)

definition at line 12 of file cblas_cdotc_sub.c.

void cblas_cdotu_sub (const CBLAS_INT N, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * dotu)

definition at line 12 of file cblas_cdotu_sub.c.

void cblas_cgbmv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT KL, const CBLAS_INT KU, const void * alpha, const void * A, const CBLAS_INT lda, const void * X, const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY)

definition at line 12 of file cblas_cgbmv.c.

void cblas_cgemm (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void * beta, void * C, const CBLAS_INT ldc)

definition at line 12 of file cblas_cgemm.c 🔥

void cblas_cgemmtr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void * beta, void * C, const CBLAS_INT ldc)

definition at line 12 of file cblas_cgemmtr.c.

void cblas_cgemv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda, const void * X, const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY)

definition at line 12 of file cblas_cgemv.c.

void cblas_cgerc (CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * A, const CBLAS_INT lda)

definition at line 12 of file cblas_cgerc.c 💜

void cblas_cgeru (CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * A, const CBLAS_INT lda)

definition at line 10 of file cblas_cgeru.c — yes, line 10, everybody else was line 12, this one's just different like that 🙈

void cblas_chbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * X, const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY)

definition at line 12 of file cblas_chbmv.c ⭐

💅 `cblas_chemm`

void cblas_chemm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
    const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void *
    A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void
    * beta, void * C, const CBLAS_INT ldc)

Definition at line 12 of file cblas_chemm.c.

Ok so the c-girlies are up first and they are serving void pointer realness — everything's const void * because complex numbers don't do labels. Respect.

✨ `cblas_chemv`

void cblas_chemv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const void * alpha, const void * A, const CBLAS_INT lda, const void * X,
    const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY)

Definition at line 12 of file cblas_chemv.c.

Notice X is const void * but Y is just void * — one's read-only, one's getting written to. Character development, honestly.

🎀 `cblas_cher`

void cblas_cher (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const float alpha, const void * X, const CBLAS_INT incX, void * A, const
    CBLAS_INT lda)

Definition at line 12 of file cblas_cher.c.

Bestie the alpha here is a plain const float while everything else is const void * — no cap, that's just how this one is built. 🫶

🦋 `cblas_cher2`

void cblas_cher2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const void * alpha, const void * X, const CBLAS_INT incX, const void *
    Y, const CBLAS_INT incY, void * A, const CBLAS_INT lda)

Definition at line 12 of file cblas_cher2.c.

Two vectors this time (X and Y), and alpha is back to being a const void *. It's giving glow-up.

🌸 `cblas_cher2k`

void cblas_cher2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    Trans, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const
    void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb,
    const float beta, void * C, const CBLAS_INT ldc)

Definition at line 12 of file cblas_cher2k.c.

Trans is a CBLAS_TRANSPOSE, alpha is const void *, beta is const float — the mixed-type chaos is iconic, keep up.

💜 `cblas_cherk`

void cblas_cherk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    Trans, const CBLAS_INT N, const CBLAS_INT K, const float alpha, const
    void * A, const CBLAS_INT lda, const float beta, void * C, const
    CBLAS_INT ldc)

Definition at line 12 of file cblas_cherk.c.

Here alpha and beta are both const float and the matrices are const void *. Slay, consistency.

⭐ `cblas_chpmv`

void cblas_chpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const void * alpha, const void * Ap, const void * X, const CBLAS_INT
    incX, const void * beta, void * Y, const CBLAS_INT incY)

Definition at line 12 of file cblas_chpmv.c.

See that Ap with no lda next to it? That's the whole vibe of this signature — no leading dimension, just Ap out here living its life.

🍓 `cblas_chpr`

void cblas_chpr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const float alpha, const void * X, const CBLAS_INT incX, void * A)

Definition at line 12 of file cblas_chpr.c.

Short and sweet: layout, Uplo, N, a const float alpha, X with incX, and then A. That's it, that's the whole function signature. 🎀

🧚 `cblas_chpr2`

void cblas_chpr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const void * alpha, const void * X, const CBLAS_INT incX, const void *
    Y, const CBLAS_INT incY, void * Ap)

Definition at line 12 of file cblas_chpr2.c.

Two vectors, one Ap, alpha as const void *. Main character energy from the packed-storage girlies.

🔥 `cblas_crotg`

void cblas_crotg (void * a, void * b, float * c, void * s)

Definition at line 9 of file cblas_crotg.c.

No layout, no N, no incX — this one just rolls up with four pointers and no context whatsoever. We stan a mysterious queen. 💀

🌈 `cblas_cscal`

void cblas_cscal (const CBLAS_INT N, const void * alpha, void * X, const
    CBLAS_INT incX)

Definition at line 11 of file cblas_cscal.c.

Four args, alpha is const void *, X is void *. Lowkey the most unbothered signature on this page.

🦋 `cblas_csrot`

void cblas_csrot (const CBLAS_INT N, void * X, const CBLAS_INT incX, void *
    Y, const CBLAS_INT incY, const float c, const float s)

Definition at line 9 of file cblas_csrot.c.

c and s are const float here, and yes those are the actual parameter names — single letters, zero notes, no explanation. Fr fr.

🌟 `cblas_csscal`

void cblas_csscal (const CBLAS_INT N, const float alpha, void * X, const
    CBLAS_INT incX)

Definition at line 11 of file cblas_csscal.c.

Same shape as cblas_cscal but alpha is a const float instead of const void *. One tiny glyph of difference, bestie.

💫 `cblas_cswap`

void cblas_cswap (const CBLAS_INT N, void * X, const CBLAS_INT incX, void *
    Y, const CBLAS_INT incY)

Definition at line 11 of file cblas_cswap.c.

Both X and Y are plain void * — nobody's const here, everybody's got something to say. 🙈

👑 `cblas_csymm`

void cblas_csymm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
    const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void *
    A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void
    * beta, void * C, const CBLAS_INT ldc)

Definition at line 12 of file cblas_csymm.c.

Full house: layout, Side, Uplo, M, N, alpha, A, lda, B, ldb, beta, C, ldc. Thirteen parameters and not a single one wasted. ✨

🌺 `cblas_csyr2k`

void cblas_csyr2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    Trans, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const
    void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb,
    const void * beta, void * C, const CBLAS_INT ldc)

Definition at line 12 of file cblas_csyr2k.c.

alpha and beta are both const void * on this one — unlike its cher2k cousin, no float in sight. 💅

🎀 `cblas_csyrk`

void cblas_csyrk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    Trans, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const
    void * A, const CBLAS_INT lda, const void * beta, void * C, const
    CBLAS_INT ldc)

Definition at line 12 of file cblas_csyrk.c.

Only one matrix in (A + lda), output goes to C + ldc. Minimalist but make it complex.

🌿 `cblas_ctbmv`

void cblas_ctbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const
    void * A, const CBLAS_INT lda, void * X, const CBLAS_INT incX)

Definition at line 10 of file cblas_ctbmv.c.

TransA AND Diag both showing up — the enum duo we didn't know we needed. Note it's line 10, not 12, bestie, stay awake. 😭

🌙 `cblas_ctbsv`

void cblas_ctbsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const
    void * A, const CBLAS_INT lda, void * X, const CBLAS_INT incX)

Definition at line 10 of file cblas_ctbsv.c.

Exact same parameter list as cblas_ctbmv above — the only thing that changes is the name and the file. Twins, but make it separate.

🫧 `cblas_ctpmv`

void cblas_ctpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void * Ap, void * X,
    const CBLAS_INT incX)

Definition at line 10 of file cblas_ctpmv.c.

Ap and no K, no lda — the packed version dropped the leading dimension and honestly? Good for her.

🧊 `cblas_ctpsv`

void cblas_ctpsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void * Ap, void * X,
    const CBLAS_INT incX)

Definition at line 10 of file cblas_ctpsv.c.

Same story as cblas_ctpmv — Ap, X, incX, and the two enums doing all the personality work.

🔮 `cblas_ctrmm`

void cblas_ctrmm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
    CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
    CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda,
    void * B, const CBLAS_INT ldb)

Definition at line 12 of file cblas_ctrmm.c.

Four enums before a single number — Side, Uplo, TransA, Diag — then M, N, alpha, A, lda, B, ldb. The enum backlog is real. 🫶

🌊 `cblas_ctrmv`

void cblas_ctrmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void * A, const
    CBLAS_INT lda, void * X, const CBLAS_INT incX)

Definition at line 10 of file cblas_ctrmv.c.

A comes with lda, X comes with incX, and N is just there vibing in the middle.

💎 `cblas_ctrsm`

void cblas_ctrsm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
    CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const
    CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda,
    void * B, const CBLAS_INT ldb)

Definition at line 12 of file cblas_ctrsm.c.

void cblas_ctrmm and void cblas_ctrsm literally share a parameter list, character for character. Not a typo on my end, bestie, that's just the page.

🌸 `cblas_ctrsv`

void cblas_ctrsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void * A, const
    CBLAS_INT lda, void * X, const CBLAS_INT incX)

Definition at line 10 of file cblas_ctrsv.c.

And that's the last of the c crew. Line 10 again — ctrsv, we see you. 👑

⭐ `cblas_dasum`

double cblas_dasum (const CBLAS_INT N, const double * X, const CBLAS_INT
    incX)

Definition at line 12 of file cblas_dasum.c.

Plot twist: this one returns a double instead of void. Everyone say congrats to cblas_dasum for having a return type. 🎉

🔥 `cblas_daxpy`

void cblas_daxpy (const CBLAS_INT N, const double alpha, const double * X,
    const CBLAS_INT incX, double * Y, const CBLAS_INT incY)

Definition at line 11 of file `cblas_daxpy.c.

alpha is a plain const double — no void * in sight, the d functions keep it simple. X is const, Y is not, and that's the whole dynamic.

💀 `cblas_dcabs1`

double cblas_dcabs1 (const void * z)

Definition at line 9 of file `cblas_dcabs1.c.

One argument. const void * z. Returns a double. That is the entire function. Short king behavior, honestly.

🎀 `cblas_dcopy`

void cblas_dcopy (const CBLAS_INT N, const double * X, const CBLAS_INT incX,
    double * Y, const CBLAS_INT incY)

Definition at line 11 of file cblas_dcopy.c.

X with incX, Y with incY, N up front. The classic layout, no notes. 💅

🍓 `cblas_ddot`

double cblas_ddot (const CBLAS_INT N, const double * X, const CBLAS_INT
    incX, const double * Y, const CBLAS_INT incY)

Definition at line 12 of file cblas_ddot.c.

Both X and Y are const double * — nobody's getting modified, this one's just here to return a double and leave.

🌈 `cblas_dgbmv`

void cblas_dgbmv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const
    CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT KL, const CBLAS_INT KU,
    const double alpha, const double * A, const CBLAS_INT lda, const double
    * X, const CBLAS_INT incX, const double beta, double * Y, const
    CBLAS_INT incY)

Definition at line 11 of file cblas_dgbmv.c.

The widest signature so far and it brought both KL and KU to the party. Obsessed with the dedication. ✨

👑 `cblas_dgemm`

void cblas_dgemm (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA,
    CBLAS_TRANSPOSE TransB, const CBLAS_INT M, const CBLAS_INT N, const
    CBLAS_INT K, const double alpha, const double * A, const CBLAS_INT lda,
    const double * B, const CBLAS_INT ldb, const double beta, double * C,
    const CBLAS_INT ldc)

Definition at line 12 of file cblas_dgemm.c.

Fourteen parameters. TransA and TransB, M, N, K, alpha, A, lda, B, ldb, beta, C, ldc. This is the main character of the page, no cap. 💖

🦋 `cblas_dgemmtr`

void cblas_dgemmtr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE
    TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT N, const CBLAS_INT K,
    const double alpha, const double * A, const CBLAS_INT lda, const double
    * B, const CBLAS_INT ldb, const double beta, double * C, const CBLAS_INT
    ldc)

Definition at line 12 of file cblas_dgemmtr.c.

Don't skip her!! She's got Uplo where dgemm has M, and a single N where dgemm has M and N. Different girl, different signature. 🫶

🌊 `cblas_dgemv`

void cblas_dgemv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const
    CBLAS_INT M, const CBLAS_INT N, const double alpha, const double * A,
    const CBLAS_INT lda, const double * X, const CBLAS_INT incX, const
    double beta, double * Y, const CBLAS_INT incY)

Definition at line 11 of file cblas_dgemv.c.

One TransA instead of two, X/incX where the gemm had B, Y where it had C. The matrix-vector remix. 🎶

💜 `cblas_dger`

void cblas_dger (CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT N,
    const double alpha, const double * X, const CBLAS_INT incX, const double
    * Y, const CBLAS_INT incY, double * A, const CBLAS_INT lda)

Definition at line 12 of file cblas_dger.c.

No Trans anything — just layout, M, N, alpha, X, incX, Y, incY, A, lda. Refreshingly undramatic.

🌙 `cblas_dnrm2`

double cblas_dnrm2 (const CBLAS_INT N, const double * X, const CBLAS_INT
    incX)

Definition at line 12 of file cblas_dnrm2.c.

Three parameters, returns a double, done. A little minimalist moment for us. 🎀

🌸 `cblas_drot`

void cblas_drot (const CBLAS_INT N, double * X, const CBLAS_INT incX, double
    * Y, const CBLAS_INT incY, const double c, const double s)

Definition at line 11 of file cblas_drot.c.

X and Y are both writable double *, and c and s ride in as const double at the end. Balanced. 💅

🔥 `cblas_drotg`

void cblas_drotg (double * a, double * b, double * c, double * s)

Definition at line 11 of file cblas_drotg.c.

Four double *, zero const, zero context. She said "figure it out." 💀

⭐ `cblas_drotm`

void cblas_drotm (const CBLAS_INT N, double * X, const CBLAS_INT incX,
    double * Y, const CBLAS_INT incY, const double * P)

Definition at line 3 of file cblas_drotm.c.

Line 3, bestie!! Everyone else is line 10, 11, or 12 and this one showed up early. Also: P is a const double * out here all by itself.

🧚 `cblas_drotmg`

void cblas_drotmg (double * d1, double * d2, double * b1, const double b2,
    double * P)

Definition at line 11 of file cblas_drotmg.c.

Three writable pointers, then b2 as a plain const double (not a pointer!!), then P. The way b2 is the only non-pointer — icon behavior.

🍓 `cblas_dsbmv`

void cblas_dsbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const CBLAS_INT K, const double alpha, const double * A, const CBLAS_INT
    lda, const double * X, const CBLAS_INT incX, const double beta, double *
    Y, const CBLAS_INT incY)

Definition at line 12 of file cblas_dsbmv.c.

N and K up front, alpha before A, beta right before Y. Order matters, babes, don't shuffle. ✨

🫧 `cblas_dscal`

void cblas_dscal (const CBLAS_INT N, const double alpha, double * X, const
    CBLAS_INT incX)

Definition at line 11 of file cblas_dscal.c.

Four args, shortest d function on the page. Also the c version of her exists with a const void * alpha — compare and contrast, iykyk.

🌈 `cblas_dsdot`

double cblas_dsdot (const CBLAS_INT N, const float * X, const CBLAS_INT
    incX, const float * Y, const CBLAS_INT incY)

Definition at line 12 of file cblas_dsdot.c.

Wait — the float!! X and Y here are const float * and it still returns a double. The mixed-type moment of the century. 🔥

💎 `cblas_dspmv`

void cblas_dspmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const double alpha, const double * Ap, const double * X, const CBLAS_INT
    incX, const double beta, double * Y, const CBLAS_INT incY)

Definition at line 13 of file cblas_dspmv.c.

Line 13! One whole line later than the usual 12. Ap again with no lda following it — packed storage stays packed. 🎀

🌟 `cblas_dspr`

void cblas_dspr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const double alpha, const double * X, const CBLAS_INT incX, double * Ap)

Definition at line 12 of file cblas_dspr.c.

Seven parameters and the last one, Ap, is the writable one. Everybody before it gets const treatment. Queen of boundaries.

💫 `cblas_dspr2`

void cblas_dspr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const double alpha, const double * X, const CBLAS_INT incX, const double
    * Y, const CBLAS_INT incY, double * A)

Definition at line 10 of file cblas_dspr2.c.

Heads up — the trailing output is called A here, not Ap. Same slot, different name. Don't let that sneak past you. 🙈 Also line 10, the early riser.

🌺 `cblas_dswap`

void cblas_dswap (const CBLAS_INT N, double * X, const CBLAS_INT incX,
    double * Y, const CBLAS_INT incY)

Definition at line 11 of file cblas_dswap.c.

No const on X or Y, because everybody's getting rewritten, bestie. Equal opportunity modification. 💅

👑 `cblas_dsymm`

void cblas_dsymm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo,
    const CBLAS_INT M, const CBLAS_INT N, const double alpha, const double *
    A, const CBLAS_INT lda, const double * B, const CBLAS_INT ldb, const
    double beta, double * C, const CBLAS_INT ldc)

Definition at line 12 of file `cblas_dsymm.c.

Side + Uplo combo, M and N, then alpha/A/lda, beta/B/ldb, and C/ldc waiting at the end. Thirteen parameters of pure structure. ✨

🦋 `cblas_dsymv`

void cblas_dsymv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N,
    const double alpha, const double * A, const CBLAS_INT lda, const double
    * X, const CBLAS_INT incX, const double beta, double * Y, const
    CBLAS_INT incY)

Definition at line 12 of file cblas_dsymv.c.

dsymm minus the Side plus X/incX — the symmetry saga continues and we are sat for the rest of it, no cap. 🫶

okay so we're still in the function list and honestly bestie we're thriving — the d squad is wrapping up, then it's the s girlies all the way down. buckle up 💅

cblas_dsyr 🎀 — void cblas_dsyr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const double alpha, const double * X, const CBLAS_INT incX, double * A, const CBLAS_INT lda) — defined at line 12 of file cblas_dsyr.c.
cblas_dsyr2 ✨ — void cblas_dsyr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const double alpha, const double * X, const CBLAS_INT incX, const double * Y, const CBLAS_INT incY, double * A, const CBLAS_INT lda) — defined at line 12 of file cblas_dsyr2.c.
cblas_dsyr2k 💖 — void cblas_dsyr2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE Trans, const CBLAS_INT N, const CBLAS_INT K, const double alpha, const double * A, const CBLAS_INT lda, const double * B, const CBLAS_INT ldb, const double beta, double * C, const CBLAS_INT ldc) — defined at line 12 of file cblas_dsyr2k.c.
cblas_dsyrk 🌸 — void cblas_dsyrk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE Trans, const CBLAS_INT N, const CBLAS_INT K, const double alpha, const double * A, const CBLAS_INT lda, const double beta, double * C, const CBLAS_INT ldc) — defined at line 12 of file cblas_dsyrk.c.
cblas_dtbmv — void cblas_dtbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const double * A, const CBLAS_INT lda, double * X, const CBLAS_INT incX) — defined at line 10 of file cblas_dtbmv.c.
cblas_dtbsv — void cblas_dtbsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const double * A, const CBLAS_INT lda, double * X, const CBLAS_INT incX) — defined at line 10 of file cblas_dtbsv.c.
cblas_dtpmv 🦋 — void cblas_dtpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const double * Ap, double * X, const CBLAS_INT incX) — defined at line 10 of file cblas_dtpmv.c.
cblas_dtpsv 🦋 — void cblas_dtpsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const double * Ap, double * X, const CBLAS_INT incX) — defined at line 10 of file cblas_dtpsv.c.

notice how dtpmv and dtpsv are literally twins except for one letter — the packed-storage girlies said "same energy, different Ap" and they ate 💀 (also both live at line 10, matching outfits, iconic).

cblas_dtrmm 🔥 — void cblas_dtrmm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const CBLAS_INT N, const double alpha, const double * A, const CBLAS_INT lda, double * B, const CBLAS_INT ldb) — defined at line 12 of file cblas_dtrmm.c.
cblas_dtrmv — void cblas_dtrmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const double * A, const CBLAS_INT lda, double * X, const CBLAS_INT incX) — defined at line 12 of file cblas_dtrmv.c.
cblas_dtrsm 🔥 — void cblas_dtrsm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const CBLAS_INT N, const double alpha, const double * A, const CBLAS_INT lda, double * B, const CBLAS_INT ldb) — defined at line 12 of file cblas_dtrsm.c.
cblas_dtrsv — void cblas_dtrsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const double * A, const CBLAS_INT lda, double * X, const CBLAS_INT incX) — defined at line 10 of file cblas_dtrsv.c.

okay quick vibe check: the trmm/trsm pair both take CBLAS_SIDE Side plus M and N and two matrices (A and B), while the trmv/trsv pair keeps it to one matrix A and one vector X. no cap, that's the whole shape of it 💅

cblas_dzasum ⭐ — double cblas_dzasum (const CBLAS_INT N, const void * X, const CBLAS_INT incX) — defined at line 12 of file cblas_dzasum.c.
cblas_dznrm2 ⭐ — double cblas_dznrm2 (const CBLAS_INT N, const void * X, const CBLAS_INT incX) — defined at line 12 of file cblas_dznrm2.c.

both of these return double but take a const void * X — bestie, void * is giving "we're not gonna talk about the type, just trust us" 🙈 and yes, the z in the name is literally in there, iykyk.

cblas_icamax 👑 — CBLAS_INDEX cblas_icamax (const CBLAS_INT N, const void * X, const CBLAS_INT incX) — defined at line 12 of file cblas_icamax.c.
cblas_idamax 👑 — CBLAS_INDEX cblas_idamax (const CBLAS_INT N, const double * X, const CBLAS_INT incX) — defined at line 12 of file cblas_idamax.c.
cblas_isamax 👑 — CBLAS_INDEX cblas_isamax (const CBLAS_INT N, const float * X, const CBLAS_INT incX) — defined at line 12 of file cblas_isamax.c.
cblas_izamax 👑 — CBLAS_INDEX cblas_izamax (const CBLAS_INT N, const void * X, const CBLAS_INT incX) — defined at line 12 of file cblas_izamax.c.

the four amax girlies all return CBLAS_INDEX and they all live at line 12 — synchronized, choreographed, ate 💖 note the difference though: idamax takes const double *, isamax takes const float *, and icamax/izamax take const void *. do not mix them up, that's all I'm saying 😭

and now, the s section begins. say hi to the single-precision squad 🌈

cblas_sasum 🍓 — float cblas_sasum (const CBLAS_INT N, const float * X, const CBLAS_INT incX) — defined at line 12 of file cblas_sasum.c.
cblas_saxpy 🍓 — void cblas_saxpy (const CBLAS_INT N, const float alpha, const float * X, const CBLAS_INT incX, float * Y, const CBLAS_INT incY) — defined at line 12 of file cblas_saxpy.c.
cblas_scabs1 🎀 — float cblas_scabs1 (const void * c) — defined at line 9 of file cblas_scabs1.c.

hello?? cblas_scabs1 takes exactly ONE argument, a const void * c, returns a float, and sits all the way up at line 9. she's the shortest little icon in this whole list and honestly? main character energy, no notes ✨

cblas_scasum — float cblas_scasum (const CBLAS_INT N, const void * X, const CBLAS_INT incX) — defined at line 12 of file cblas_scasum.c.
cblas_scnrm2 — float cblas_scnrm2 (const CBLAS_INT N, const void * X, const CBLAS_INT incX) — defined at line 12 of file cblas_scnrm2.c.
cblas_scopy 🧚 — void cblas_scopy (const CBLAS_INT N, const float * X, const CBLAS_INT incX, float * Y, const CBLAS_INT incY) — defined at line 11 of file cblas_scopy.c.
cblas_sdot 💜 — float cblas_sdot (const CBLAS_INT N, const float * X, const CBLAS_INT incX, const float * Y, const CBLAS_INT incY) — defined at line 12 of file cblas_sdot.c.
cblas_sdsdot 💜 — float cblas_sdsdot (const CBLAS_INT N, const float alpha, const float * X, const CBLAS_INT incX, const float * Y, const CBLAS_INT incY) — defined at line 12 of file cblas_sdsdot.c.

okay scopy is at line 11 while sdot and sdsdot are at line 12, and sdsdot is the one with the extra alpha in the middle. yes I'm counting line numbers, yes I have a spreadsheet, mind your business 💅

cblas_sgbmv 🌊 — void cblas_sgbmv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT KL, const CBLAS_INT KU, const float alpha, const float * A, const CBLAS_INT lda, const float * X, const CBLAS_INT incX, const float beta, float * Y, const CBLAS_INT incY) — defined at line 12 of file cblas_sgbmv.c.
cblas_sgemm 🔥👑 — void cblas_sgemm (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT K, const float alpha, const float * A, const CBLAS_INT lda, const float * B, const CBLAS_INT ldb, const float beta, float * C, const CBLAS_INT ldc) — defined at line 12 of file cblas_sgemm.c.

the way cblas_sgemm gets two CBLAS_TRANSPOSE params (TransA and TransB), three sizes (M, N, K), alpha and beta, and two output-ish matrices B and C... it's giving "I have a lot going on but I'm handling it" 💀 iconic, periodt.

cblas_sgemmtr ⭐ — void cblas_sgemmtr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT N, const CBLAS_INT K, const float alpha, const float * A, const CBLAS_INT lda, const float * B, const CBLAS_INT ldb, const float beta, float * C, const CBLAS_INT ldc) — defined at line 13 of file cblas_sgemmtr.c.

not to be dramatic but cblas_sgemmtr is the ONLY one in this whole batch defined at line 13 💀 everyone else is line 9, 10, 11 or 12 and this girl said "I need one extra line, I'm built different". also note she swapped M out for Uplo — compare with sgemm before you assume anything, bestie 🙈

cblas_sgemv 🌸 — void cblas_sgemv (const CBLAS_LAYOUT layout, const CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const float alpha, const float * A, const CBLAS_INT lda, const float * X, const CBLAS_INT incX, const float beta, float * Y, const CBLAS_INT incY) — defined at line 11 of file cblas_sgemv.c.

tiny detail that matters, fr fr: cblas_sgemv has const on layout and TransA too — const CBLAS_LAYOUT layout, const CBLAS_TRANSPOSE TransA — and again, line 11, not 12. copy it exactly, don't "clean it up" 😭

cblas_sger 🌺 — void cblas_sger (CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT N, const float alpha, const float * X, const CBLAS_INT incX, const float * Y, const CBLAS_INT incY, float * A, const CBLAS_INT lda) — defined at line 12 of file cblas_sger.c.
cblas_snrm2 ⭐ — float cblas_snrm2 (const CBLAS_INT N, const float * X, const CBLAS_INT incX) — defined at line 12 of file cblas_snrm2.c.
cblas_srot 🌀 — void cblas_srot (const CBLAS_INT N, float * X, const CBLAS_INT incX, float * Y, const CBLAS_INT incY, const float c, const float s) — defined at line 11 of file cblas_srot.c.
cblas_srotg 🌀 — void cblas_srotg (float * a, float * b, float * c, float * s) — defined at line 11 of file cblas_srotg.c.
cblas_srotm 🌀 — void cblas_srotm (const CBLAS_INT N, float * X, const CBLAS_INT incX, float * Y, const CBLAS_INT incY, const float * P) — defined at line 11 of file cblas_srotm.c.
cblas_srotmg 🌀 — void cblas_srotmg (float * d1, float * d2, float * b1, const float b2, float * P) — defined at line 11 of file cblas_srotmg.c.

okay the whole rot family is at line 11 and they're all a little unhinged in their own way: srot passes plain c and s by value, srotg passes pointers a, b, c, s, srotm takes a const float * P, and srotmg takes d1, d2, b1 as pointers plus b2 by value and P. ngl that's a lot of little letters, just copy them character for character 🙏

cblas_ssbmv 🦋 — void cblas_ssbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const CBLAS_INT K, const float alpha, const float * A, const CBLAS_INT lda, const float * X, const CBLAS_INT incX, const float beta, float * Y, const CBLAS_INT incY) — defined at line 11 of file cblas_ssbmv.c.
cblas_sscal 🎀 — void cblas_sscal (const CBLAS_INT N, const float alpha, float * X, const CBLAS_INT incX) — defined at line 11 of file cblas_sscal.c.
cblas_sspmv — void cblas_sspmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const float alpha, const float * Ap, const float * X, const CBLAS_INT incX, const float beta, float * Y, const CBLAS_INT incY) — defined at line 11 of file cblas_sspmv.c.
cblas_sspr — void cblas_sspr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const float alpha, const float * X, const CBLAS_INT incX, float * Ap) — defined at line 12 of file cblas_sspr.c.
cblas_sspr2 — void cblas_sspr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const float alpha, const float * X, const CBLAS_INT incX, const float * Y, const CBLAS_INT incY, float * A) — defined at line 12 of file cblas_sspr2.c.

watch out on this one bestie 😭 cblas_sspr2 takes float * A as its last param — NOT Ap, even though its sibling cblas_sspr right above it takes float * Ap. different letter, different parameter, do not "fix" it, I'm begging 💀

cblas_sswap 🔄 — void cblas_sswap (const CBLAS_INT N, float * X, const CBLAS_INT incX, float * Y, const CBLAS_INT incY) — defined at line 11 of file cblas_sswap.c.
cblas_ssymm 💖 — void cblas_ssymm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, const CBLAS_INT M, const CBLAS_INT N, const float alpha, const float * A, const CBLAS_INT lda, const float * B, const CBLAS_INT ldb, const float beta, float * C, const CBLAS_INT ldc) — defined at line 12 of file cblas_ssymm.c.
cblas_ssymv 💖 — void cblas_ssymv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const float alpha, const float * A, const CBLAS_INT lda, const float * X, const CBLAS_INT incX, const float beta, float * Y, const CBLAS_INT incY) — defined at line 12 of file cblas_ssymv.c.
cblas_ssyr 🌷 — void cblas_ssyr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const float alpha, const float * X, const CBLAS_INT incX, float * A, const CBLAS_INT lda) — defined at line 11 of file cblas_ssyr.c.
cblas_ssyr2 🌷 — void cblas_ssyr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const float alpha, const float * X, const CBLAS_INT incX, const float * Y, const CBLAS_INT incY, float * A, const CBLAS_INT lda) — defined at line 12 of file cblas_ssyr2.c.

btw ssyr is line 11 and ssyr2 is line 12 — one extra vector, one extra line, that's the pattern and I'm obsessed with the consistency 🫶

cblas_ssyr2k 🎀 — void cblas_ssyr2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE Trans, const CBLAS_INT N, const CBLAS_INT K, const float alpha, const float * A, const CBLAS_INT lda, const float * B, const CBLAS_INT ldb, const float beta, float * C, const CBLAS_INT ldc) — defined at line 12 of file cblas_ssyr2k.c.
cblas_ssyrk 🎀 — void cblas_ssyrk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE Trans, const CBLAS_INT N, const CBLAS_INT K, const float alpha, const float * A, const CBLAS_INT lda, const float beta, float * C, const CBLAS_INT ldc) — defined at line 12 of file cblas_ssyrk.c.
cblas_stbmv — void cblas_stbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const float * A, const CBLAS_INT lda, float * X, const CBLAS_INT incX) — defined at line 10 of file cblas_stbmv.c.
cblas_stbsv — void cblas_stbsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const float * A, const CBLAS_INT lda, float * X, const CBLAS_INT incX) — defined at line 10 of file cblas_stbsv.c.
cblas_stpmv 🦋 — void cblas_stpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const float * Ap, float * X, const CBLAS_INT incX) — defined at line 11 of file cblas_stpmv.c.

and that's where this chunk lands bestie — stbmv and stbsv are identical-looking twins down at line 10, then stpmv switches from A/lda/K to plain Ap and hops to line 11. the s girlies really said "we contain multitudes" 🌈💅

void cblas_stpsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const float * Ap, float * X, const CBLAS_INT incX) — packed triangular solve, single precision 💅 defined at line 10 of cblas_stpsv.c.
void cblas_strmm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const CBLAS_INT N, const float alpha, const float * A, const CBLAS_INT lda, float * B, const CBLAS_INT ldb) — triangular matrix-matrix multiply, single precision ✨ defined at line 12 of cblas_strmm.c.
void cblas_strmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const float * A, const CBLAS_INT lda, float * X, const CBLAS_INT incX) — triangular matrix-vector multiply, single precision 🌸 defined at line 11 of cblas_strmv.c.
void cblas_strsm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const CBLAS_INT N, const float alpha, const float * A, const CBLAS_INT lda, float * B, const CBLAS_INT ldb) — triangular solve with multiple right-hand sides, single precision 🎀 defined at line 12 of cblas_strsm.c.
void cblas_strsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const float * A, const CBLAS_INT lda, float * X, const CBLAS_INT incX) — triangular solve, single precision 💖 defined at line 10 of cblas_strsv.c.
void cblas_xerbla (CBLAS_INT p, const char * rout, const char * form, ...) — the error-reporting bestie 😭 defined at line 12 of cblas_xerbla.c.
void cblas_zaxpy (const CBLAS_INT N, const void * alpha, const void * X, const CBLAS_INT incX, void * Y, const CBLAS_INT incY) — double-complex y := alpha*x + y, the glow-up of the century 🔥 defined at line 11 of cblas_zaxpy.c.
void cblas_zcopy (const CBLAS_INT N, const void * X, const CBLAS_INT incX, void * Y, const CBLAS_INT incY) — double-complex copy, y := x no cap 🦋 defined at line 11 of cblas_zcopy.c.
void cblas_zdotc_sub (const CBLAS_INT N, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * dotc) — double-complex conjugated dot product, result into dotc 💜 defined at line 12 of cblas_zdotc_sub.c.
void cblas_zdotu_sub (const CBLAS_INT N, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * dotu) — double-complex unconjugated dot product, result into dotu 💜 defined at line 12 of cblas_zdotu_sub.c.
void cblas_zdrot (const CBLAS_INT N, void * X, const CBLAS_INT incX, void * Y, const CBLAS_INT incY, const double c, const double s) — double-complex plane rotation, bestie ✨ defined at line 9 of cblas_zdrot.c.
void cblas_zdscal (const CBLAS_INT N, const double alpha, void * X, const CBLAS_INT incX) — double-complex vector scaled by a real double, iconic 🌈 defined at line 11 of cblas_zdscal.c.
void cblas_zgbmv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT KL, const CBLAS_INT KU, const void * alpha, const void * A, const CBLAS_INT lda, const void * X, const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY) — double-complex general banded matrix-vector multiply 🫶 defined at line 12 of cblas_zgbmv.c.
void cblas_zgemm (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT M, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void * beta, void * C, const CBLAS_INT ldc) — the double-complex general matrix-matrix multiply, main character energy 👑 defined at line 12 of cblas_zgemm.c.
void cblas_zgemmtr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void * beta, void * C, const CBLAS_INT ldc) — double-complex triangular matrix-matrix multiply, slay 💅 defined at line 12 of cblas_zgemmtr.c.
void cblas_zgemv (CBLAS_LAYOUT layout, CBLAS_TRANSPOSE TransA, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda, const void * X, const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY) — double-complex general matrix-vector multiply 🌟 defined at line 12 of cblas_zgemv.c.
void cblas_zgerc (CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * A, const CBLAS_INT lda) — double-complex conjugated rank-1 update 🎀 defined at line 12 of cblas_zgerc.c.
void cblas_zgeru (CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * A, const CBLAS_INT lda) — double-complex unconjugated rank-1 update 🎀 defined at line 10 of cblas_zgeru.c.
void cblas_zhbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * X, const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY) — double-complex Hermitian banded matrix-vector multiply 💜 defined at line 12 of cblas_zhbmv.c.
void cblas_zhemm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void * beta, void * C, const CBLAS_INT ldc) — double-complex Hermitian matrix-matrix multiply, obsessed 😻 defined at line 12 of cblas_zhemm.c.
void cblas_zhemv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda, const void * X, const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY) — double-complex Hermitian matrix-vector multiply 💜 defined at line 12 of cblas_zhemv.c.
void cblas_zher (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const double alpha, const void * X, const CBLAS_INT incX, void * A, const CBLAS_INT lda) — double-complex Hermitian rank-1 update, real alpha bestie 🌸 defined at line 12 of cblas_zher.c.
void cblas_zher2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const void * alpha, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * A, const CBLAS_INT lda) — double-complex Hermitian rank-2 update ✨ defined at line 12 of cblas_zher2.c.
void cblas_zher2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE Trans, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const double beta, void * C, const CBLAS_INT ldc) — double-complex Hermitian rank-2k update, note the real double beta 🔥 defined at line 12 of cblas_zher2k.c.
void cblas_zherk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE Trans, const CBLAS_INT N, const CBLAS_INT K, const double alpha, const void * A, const CBLAS_INT lda, const double beta, void * C, const CBLAS_INT ldc) — double-complex Hermitian rank-k update, both alpha and beta are real doubles 🎀 defined at line 12 of cblas_zherk.c.
void cblas_zhpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const void * alpha, const void * Ap, const void * X, const CBLAS_INT incX, const void * beta, void * Y, const CBLAS_INT incY) — double-complex Hermitian packed matrix-vector multiply 🦋 defined at line 12 of cblas_zhpmv.c.
void cblas_zhpr (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const double alpha, const void * X, const CBLAS_INT incX, void * A) — double-complex Hermitian packed rank-1 update, real alpha again 💖 defined at line 12 of cblas_zhpr.c.
void cblas_zhpr2 (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, const CBLAS_INT N, const void * alpha, const void * X, const CBLAS_INT incX, const void * Y, const CBLAS_INT incY, void * Ap) — double-complex Hermitian packed rank-2 update 🌺 defined at line 12 of cblas_zhpr2.c.
void cblas_zrotg (void * a, void * b, double * c, void * s) — double-complex Givens rotation generator, cute little four-arg icon 🧚 defined at line 9 of cblas_zrotg.c.
void cblas_zscal (const CBLAS_INT N, const void * alpha, void * X, const CBLAS_INT incX) — double-complex vector scale by a complex alpha 💅 defined at line 11 of cblas_zscal.c.
void cblas_zswap (const CBLAS_INT N, void * X, const CBLAS_INT incX, void * Y, const CBLAS_INT incY) — double-complex swap, trading places fr fr 🔄 defined at line 11 of cblas_zswap.c.
void cblas_zsymm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void * beta, void * C, const CBLAS_INT ldc) — double-complex symmetric matrix-matrix multiply 👑 defined at line 12 of cblas_zsymm.c.
void cblas_zsyr2k (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE Trans, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * B, const CBLAS_INT ldb, const void * beta, void * C, const CBLAS_INT ldc) — double-complex symmetric rank-2k update, complex beta this time 🫶 defined at line 12 of cblas_zsyr2k.c.
void cblas_zsyrk (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE Trans, const CBLAS_INT N, const CBLAS_INT K, const void * alpha, const void * A, const CBLAS_INT lda, const void * beta, void * C, const CBLAS_INT ldc) — double-complex symmetric rank-k update ✨ defined at line 12 of cblas_zsyrk.c.
void cblas_ztbmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const void * A, const CBLAS_INT lda, void * X, const CBLAS_INT incX) — double-complex triangular banded matrix-vector multiply 💜 defined at line 10 of cblas_ztbmv.c.
void cblas_ztbsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const CBLAS_INT K, const void * A, const CBLAS_INT lda, void * X, const CBLAS_INT incX) — double-complex triangular banded solve 🌸 defined at line 10 of cblas_ztbsv.c.
void cblas_ztpmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void * Ap, void * X, const CBLAS_INT incX) — double-complex triangular packed matrix-vector multiply 🎀 defined at line 10 of cblas_ztpmv.c.
void cblas_ztpsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void * Ap, void * X, const CBLAS_INT incX) — double-complex triangular packed solve 🦋 defined at line 10 of cblas_ztpsv.c.
void cblas_ztrmm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda, void * B, const CBLAS_INT ldb) — double-complex triangular matrix-matrix multiply, go off 🔥 defined at line 12 of cblas_ztrmm.c.
void cblas_ztrmv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void * A, const CBLAS_INT lda, void * X, const CBLAS_INT incX) — double-complex triangular matrix-vector multiply 🧚 defined at line 10 of cblas_ztrmv.c.
void cblas_ztrsm (CBLAS_LAYOUT layout, CBLAS_SIDE Side, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT M, const CBLAS_INT N, const void * alpha, const void * A, const CBLAS_INT lda, void * B, const CBLAS_INT ldb) — double-complex triangular solve with multiple right-hand sides 👑 defined at line 12 of cblas_ztrsm.c.
void cblas_ztrsv (CBLAS_LAYOUT layout, CBLAS_UPLO Uplo, CBLAS_TRANSPOSE TransA, CBLAS_DIAG Diag, const CBLAS_INT N, const void * A, const CBLAS_INT lda, void * X, const CBLAS_INT incX) — double-complex triangular solve, the final boss of this list 💀 defined at line 10 of cblas_ztrsv.c.

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CBLAS/include/cblas.h(3)

💖 CBLAS/include/cblas.h — Library Functions Manual 💖

🌸 NAME 🌸

🎀 SYNOPSIS 🎀

✨ Macros ✨

🦋 Typedefs 🦋

🌈 Enumerations 🌈

💜 enum CBLAS_LAYOUT

🌸 enum CBLAS_TRANSPOSE

🧚 enum CBLAS_UPLO

🎀 enum CBLAS_DIAG

🔥 enum CBLAS_SIDE

💅 the tiny magnitude helpers

✨ dot dot dot (the products)

🦋 norms and absolute-value sums

🔥 index of the biggest one

🎀 swap, copy, axpy (a.k.a. the level-1 workhorses)

🌸 modified rotations

⭐ scaling

🌈 givens rotations (the setup)

💜 givens rotations (the apply)

👑 level-2 BLAS, single precision

⭐ level-2 BLAS, double precision

🧚 level-2 BLAS, complex (the c girlies)

💜 level-2 BLAS, double-complex (the z girlies)

💜 the z triangular crew

🌸 single precision, symmetric + rank updates

✨ double precision, same energy

🦋 complex single, Hermitian edition

💜 complex double, the z twins

👑 level 3, single precision — main character energy

🔥 level 3, double precision

🎀 Macro Definition Documentation 🎀

🌸 Typedef Documentation 🌸

🦋 Enumeration Type Documentation 🦋

enum CBLAS_DIAG

enum CBLAS_LAYOUT

enum CBLAS_SIDE

enum CBLAS_TRANSPOSE

enum CBLAS_UPLO

👑 Function Documentation 👑

💅 cblas_chemm

✨ cblas_chemv

🎀 cblas_cher

🦋 cblas_cher2

🌸 cblas_cher2k

💜 cblas_cherk

⭐ cblas_chpmv

🍓 cblas_chpr

🧚 cblas_chpr2

🔥 cblas_crotg

🌈 cblas_cscal

🦋 cblas_csrot

🌟 cblas_csscal

💫 cblas_cswap

👑 cblas_csymm

🌺 cblas_csyr2k

🎀 cblas_csyrk

🌿 cblas_ctbmv

🌙 cblas_ctbsv

🫧 cblas_ctpmv

🧊 cblas_ctpsv

🔮 cblas_ctrmm

🌊 cblas_ctrmv

💎 cblas_ctrsm

🌸 cblas_ctrsv

⭐ cblas_dasum

🔥 cblas_daxpy

💀 cblas_dcabs1

🎀 cblas_dcopy

🍓 cblas_ddot

🌈 cblas_dgbmv

👑 cblas_dgemm

🦋 cblas_dgemmtr

🌊 cblas_dgemv

💜 cblas_dger

🌙 cblas_dnrm2

🌸 cblas_drot

🔥 cblas_drotg

⭐ cblas_drotm

💜 `enum CBLAS_LAYOUT`

🌸 `enum CBLAS_TRANSPOSE`

🧚 `enum CBLAS_UPLO`

🎀 `enum CBLAS_DIAG`

🔥 `enum CBLAS_SIDE`

🧚 level-2 BLAS, complex (the `c` girlies)

💜 level-2 BLAS, double-complex (the `z` girlies)

💜 the `z` triangular crew

💜 complex double, the `z` twins

`enum CBLAS_DIAG`

`enum CBLAS_LAYOUT`

`enum CBLAS_SIDE`

`enum CBLAS_TRANSPOSE`

`enum CBLAS_UPLO`

💅 `cblas_chemm`

✨ `cblas_chemv`

🎀 `cblas_cher`

🦋 `cblas_cher2`

🌸 `cblas_cher2k`

💜 `cblas_cherk`

⭐ `cblas_chpmv`

🍓 `cblas_chpr`

🧚 `cblas_chpr2`

🔥 `cblas_crotg`

🌈 `cblas_cscal`

🦋 `cblas_csrot`

🌟 `cblas_csscal`

💫 `cblas_cswap`

👑 `cblas_csymm`

🌺 `cblas_csyr2k`

🎀 `cblas_csyrk`

🌿 `cblas_ctbmv`

🌙 `cblas_ctbsv`

🫧 `cblas_ctpmv`

🧊 `cblas_ctpsv`

🔮 `cblas_ctrmm`

🌊 `cblas_ctrmv`

💎 `cblas_ctrsm`

🌸 `cblas_ctrsv`

⭐ `cblas_dasum`

🔥 `cblas_daxpy`

💀 `cblas_dcabs1`

🎀 `cblas_dcopy`

🍓 `cblas_ddot`

🌈 `cblas_dgbmv`

👑 `cblas_dgemm`

🦋 `cblas_dgemmtr`

🌊 `cblas_dgemv`

💜 `cblas_dger`

🌙 `cblas_dnrm2`

🌸 `cblas_drot`

🔥 `cblas_drotg`

⭐ `cblas_drotm`

🧚 `cblas_drotmg`

🍓 `cblas_dsbmv`

🫧 `cblas_dscal`

🌈 `cblas_dsdot`

💎 `cblas_dspmv`

🌟 `cblas_dspr`

💫 `cblas_dspr2`

🌺 `cblas_dswap`

👑 `cblas_dsymm`

🦋 `cblas_dsymv`