## Ex. 1
### a)
Spacial locality -(constant) proximity of memory spaces relative to a reference memory space

Logically following the multiplication process of matrices, C and A have spacial locality (while B does not, due to advancing in columns and not rows). Matrix C also has temporal locality.
### b)
cache size = 25600 KB
cache line/alignment= 64 B
double -> 8

(64/8) = 8 elements

**Estimation of misses:**
- matrix C:   n² / 8
- matrix B:   n³ 
- matrix A:   n³ / 8

>[!info] The difference in being divided by 8 or not comes from the spacial locality of the matrix.

>[!info]- Commands ran
>nano /proc/cpuinfo
>srun --partition=cpar perf cat /proc/cpuinfo
### c)
 C -> n² / 8
 B -> n³ / 8 (since it has been transpost)
 C -> n³/8

### d)

| N      | Version | Time | CPI | \#I| L1_DMiss (estimated) | L1_DMiss |  |
| --------- | --- | --- | -------- | ----------- | ---------- | -------------- | ---------- | ------ | ------ |
| 512 |  base()  |    | 1   |      0      |     1       |       1         |    0        |  0      |   1     |
| 512 |  transp() | 0   | 1   |      0      |     0       |       1         |    1        |  0      |   1     |

512x512x8 = 2 MB
512x8 = 4KB 

Impacto (n=512):
- C -> n² / 8 = 32
- A -> n² / 8
- B -> n³ ( 8)