lavc/aacpsdsp: precompute constant factors

The input complex factors are constant for each iterations. This
substitudes 4 loads, 2 additions and 2 subtractions per iteration of
the inner-loop with another 4 loads. Thus effectively 4 arithmetic
operations per iteration of the inner loop are avoided, i.e. 24
operations per iteration of the outer loop, or 24 * (n - 1) operations
in total.

If the inner loop is not unrolled by the compiler, this also might
also save some pointer arithmetic as most instruction sets do not
have addressing modes with negated register offsets (12 - j). Unless
the compiler is optimising for code size, this is unlikely though.

libavcodec/aacpsdsp_template.c

@@ -47,21 +47,24 @@ static void ps_hybrid_analysis_c(INTFLOAT (*out)[2], INTFLOAT (*in)[2],
                                  const INTFLOAT (*filter)[8][2],
                                  ptrdiff_t stride, int n)
 {
-    int i, j;
+    INT64FLOAT inre0[6], inre1[6], inim0[6], inim1[6];
 
-    for (i = 0; i < n; i++) {
+    for (int j = 0; j < 6; j++) {
+        inre0[j] = in[j][0] + in[12 - j][0];
+        inre1[j] = in[j][1] - in[12 - j][1];
+        inim0[j] = in[j][1] + in[12 - j][1];
+        inim1[j] = in[j][0] - in[12 - j][0];
+    }
+
+    for (int i = 0; i < n; i++) {
         INT64FLOAT sum_re = (INT64FLOAT)filter[i][6][0] * in[6][0];
         INT64FLOAT sum_im = (INT64FLOAT)filter[i][6][0] * in[6][1];
 
-        for (j = 0; j < 6; j++) {
-            INT64FLOAT in0_re = in[j][0];
-            INT64FLOAT in0_im = in[j][1];
-            INT64FLOAT in1_re = in[12-j][0];
-            INT64FLOAT in1_im = in[12-j][1];
-            sum_re += (INT64FLOAT)filter[i][j][0] * (in0_re + in1_re) -
-                      (INT64FLOAT)filter[i][j][1] * (in0_im - in1_im);
-            sum_im += (INT64FLOAT)filter[i][j][0] * (in0_im + in1_im) +
-                      (INT64FLOAT)filter[i][j][1] * (in0_re - in1_re);
+        for (int j = 0; j < 6; j++) {
+            sum_re += (INT64FLOAT)filter[i][j][0] * inre0[j] -
+                      (INT64FLOAT)filter[i][j][1] * inre1[j];
+            sum_im += (INT64FLOAT)filter[i][j][0] * inim0[j] +
+                      (INT64FLOAT)filter[i][j][1] * inim1[j];
         }
 #if USE_FIXED
         out[i * stride][0] = (int)((sum_re + 0x40000000) >> 31);