Remove two bn_wexpand() from BN_mul(), which is a step toward getting
BN_mul() correctly constified, avoids two realloc()'s that aren't really necessary and saves memory to boot. This required a small change in bn_mul_part_recursive() and the addition of variants of bn_cmp_words(), bn_add_words() and bn_sub_words() that can take arrays with differing sizes. The test results show a performance that very closely matches the original code from before my constification. This may seem like a very small win from a performance point of view, but if one remembers that the variants of bn_cmp_words(), bn_add_words() and bn_sub_words() are not at all optimized for the moment (and there's no corresponding assembler code), and that their use may be just as non-optimal, I'm pretty confident there are possibilities... This code needs reviewing!
This commit is contained in:
parent
e06cc57118
commit
baa257f1ed
2 changed files with 346 additions and 28 deletions
9
CHANGES
9
CHANGES
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@ -4,6 +4,15 @@
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Changes between 0.9.6 and 0.9.7 [xx XXX 2000]
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*) Remove a few calls to bn_wexpand() in BN_sqr() (the one in there
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was actually never needed) and in BN_mul(). The removal in BN_mul()
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required a small change in bn_mul_part_recursive() and the addition
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of the static functions bn_cmp_part_words(), bn_sub_part_words()
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and bn_add_part_words() which do the same thing as bn_cmp_words(),
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bn_sub_words() and bn_add_words() except they take arrays with
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differing sizes.
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[Richard Levitte]
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*) In 'openssl passwd', verify passwords read from the terminal
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unless the '-salt' option is used (which usually means that
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verification would just waste user's time since the resulting
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@ -57,9 +57,328 @@
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*/
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#include <stdio.h>
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#include <assert.h>
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#include "cryptlib.h"
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#include "bn_lcl.h"
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/* Here follows specialised variants of bn_cmp_words(), bn_add_words() and
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bn_sub_words(). They all have the property performing operations on
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arrays of different sizes. The sizes of those arrays is expressed through
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cl, which is the common length ( basicall, min(len(a),len(b)) ), and dl,
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which is the delta between the two lengths, calculated as len(a)-len(b).
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All lengths are the number of BN_ULONGs... For the operations that require
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a result array as parameter, it must have the length cl+abs(dl).
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These functions should probably end up in bn_asm.c as soon as there are
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assembler counterparts for the systems that use assembler files. */
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int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b,
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int cl, int dl)
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{
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if (dl < 0) /* a < b */
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return -1;
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if (dl > 0) /* a > b */
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return 1;
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return bn_cmp_words(a,b,cl);
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}
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BN_ULONG bn_sub_part_words(BN_ULONG *r,
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const BN_ULONG *a, const BN_ULONG *b,
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int cl, int dl)
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{
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BN_ULONG c, t;
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assert(cl >= 0);
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c = bn_sub_words(r, a, b, cl);
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if (dl == 0)
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return c;
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r += cl;
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a += cl;
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b += cl;
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if (dl < 0)
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{
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#ifdef BN_COUNT
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fprintf(stderr, " bn_sub_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c);
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#endif
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for (;;)
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{
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t = b[0];
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r[0] = (-t-c)&BN_MASK2;
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if (t != 0) c=1;
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if (++dl >= 0) break;
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t = b[1];
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r[1] = (-t-c)&BN_MASK2;
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if (t != 0) c=1;
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if (++dl >= 0) break;
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t = b[2];
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r[2] = (-t-c)&BN_MASK2;
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if (t != 0) c=1;
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if (++dl >= 0) break;
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t = b[3];
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r[3] = (-t-c)&BN_MASK2;
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if (t != 0) c=1;
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if (++dl >= 0) break;
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b += 4;
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r += 4;
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}
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}
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else
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{
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int save_dl = dl;
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#ifdef BN_COUNT
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fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c = %d)\n", cl, dl, c);
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#endif
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while(c)
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{
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t = a[0];
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r[0] = (t-c)&BN_MASK2;
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if (t != 0) c=0;
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if (--dl <= 0) break;
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t = a[1];
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r[1] = (t-c)&BN_MASK2;
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if (t != 0) c=0;
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if (--dl <= 0) break;
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t = a[2];
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r[2] = (t-c)&BN_MASK2;
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if (t != 0) c=0;
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if (--dl <= 0) break;
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t = a[3];
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r[3] = (t-c)&BN_MASK2;
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if (t != 0) c=0;
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if (--dl <= 0) break;
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save_dl = dl;
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a += 4;
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r += 4;
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}
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if (dl > 0)
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{
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#ifdef BN_COUNT
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fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c == 0)\n", cl, dl);
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#endif
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if (save_dl > dl)
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{
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switch (save_dl - dl)
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{
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case 1:
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r[1] = a[1];
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if (--dl <= 0) break;
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case 2:
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r[2] = a[2];
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if (--dl <= 0) break;
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case 3:
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r[3] = a[3];
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if (--dl <= 0) break;
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}
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a += 4;
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r += 4;
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}
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}
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if (dl > 0)
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{
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#ifdef BN_COUNT
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fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, copy)\n", cl, dl);
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#endif
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for(;;)
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{
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r[0] = a[0];
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if (--dl <= 0) break;
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r[1] = a[1];
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if (--dl <= 0) break;
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r[2] = a[2];
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if (--dl <= 0) break;
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r[3] = a[3];
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if (--dl <= 0) break;
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a += 4;
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r += 4;
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}
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}
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}
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return c;
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}
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BN_ULONG bn_add_part_words(BN_ULONG *r,
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const BN_ULONG *a, const BN_ULONG *b,
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int cl, int dl)
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{
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BN_ULONG c, l, t;
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assert(cl >= 0);
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c = bn_sub_words(r, a, b, cl);
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if (dl == 0)
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return c;
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r += cl;
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a += cl;
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b += cl;
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if (dl < 0)
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{
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int save_dl = dl;
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#ifdef BN_COUNT
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fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c);
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#endif
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while (c)
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{
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l=(c+b[0])&BN_MASK2;
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c=(l < c);
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r[0]=l;
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if (++dl >= 0) break;
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l=(c+b[1])&BN_MASK2;
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c=(l < c);
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r[1]=l;
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if (++dl >= 0) break;
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l=(c+b[2])&BN_MASK2;
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c=(l < c);
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r[2]=l;
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if (++dl >= 0) break;
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l=(c+b[3])&BN_MASK2;
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c=(l < c);
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r[3]=l;
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if (++dl >= 0) break;
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save_dl = dl;
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b+=4;
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r+=4;
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}
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if (dl < 0)
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{
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#ifdef BN_COUNT
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fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c == 0)\n", cl, dl);
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#endif
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if (save_dl < dl)
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{
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switch (dl - save_dl)
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{
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case 1:
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r[1] = b[1];
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if (++dl >= 0) break;
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case 2:
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r[2] = b[2];
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if (++dl >= 0) break;
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case 3:
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r[3] = b[3];
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if (++dl >= 0) break;
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}
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b += 4;
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r += 4;
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}
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}
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if (dl < 0)
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{
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#ifdef BN_COUNT
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fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, copy)\n", cl, dl);
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#endif
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for(;;)
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{
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r[0] = b[0];
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if (++dl >= 0) break;
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r[1] = b[1];
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if (++dl >= 0) break;
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r[2] = b[2];
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if (++dl >= 0) break;
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r[3] = b[3];
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if (++dl >= 0) break;
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b += 4;
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r += 4;
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}
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}
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}
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else
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{
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int save_dl = dl;
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#ifdef BN_COUNT
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fprintf(stderr, " bn_add_part_words %d + %d (dl > 0)\n", cl, dl);
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#endif
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while (c)
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{
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t=(a[0]+c)&BN_MASK2;
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c=(t < c);
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r[0]=t;
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if (--dl <= 0) break;
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t=(a[1]+c)&BN_MASK2;
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c=(t < c);
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r[1]=t;
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if (--dl <= 0) break;
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t=(a[2]+c)&BN_MASK2;
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c=(t < c);
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r[2]=t;
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if (--dl <= 0) break;
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t=(a[3]+c)&BN_MASK2;
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c=(t < c);
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r[3]=t;
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if (--dl <= 0) break;
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save_dl = dl;
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a+=4;
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r+=4;
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}
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#ifdef BN_COUNT
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fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, c == 0)\n", cl, dl);
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#endif
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if (dl > 0)
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{
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if (save_dl > dl)
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{
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switch (save_dl - dl)
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{
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case 1:
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r[1] = a[1];
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if (--dl <= 0) break;
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case 2:
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r[2] = a[2];
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if (--dl <= 0) break;
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case 3:
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r[3] = a[3];
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if (--dl <= 0) break;
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}
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a += 4;
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r += 4;
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}
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}
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if (dl > 0)
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{
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#ifdef BN_COUNT
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fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, copy)\n", cl, dl);
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#endif
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for(;;)
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{
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r[0] = a[0];
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if (--dl <= 0) break;
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r[1] = a[1];
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if (--dl <= 0) break;
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r[2] = a[2];
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if (--dl <= 0) break;
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r[3] = a[3];
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if (--dl <= 0) break;
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a += 4;
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r += 4;
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}
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}
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}
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return c;
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}
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#ifdef BN_RECURSION
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/* Karatsuba recursive multiplication algorithm
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* (cf. Knuth, The Art of Computer Programming, Vol. 2) */
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BN_ULONG ln,lo,*p;
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# ifdef BN_COUNT
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fprintf(stderr," bn_mul_part_recursive %d * %d\n",tn+n,tn+n);
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fprintf(stderr," bn_mul_part_recursive (%d+%d) * (%d+%d)\n",
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tn, n,tn, n);
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# endif
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if (n < 8)
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{
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@ -238,21 +558,21 @@ void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int tn,
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}
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/* r=(a[0]-a[1])*(b[1]-b[0]) */
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c1=bn_cmp_words(a,&(a[n]),n);
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c2=bn_cmp_words(&(b[n]),b,n);
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c1=bn_cmp_part_words(a,&(a[n]),tn,n-tn);
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c2=bn_cmp_part_words(&(b[n]),b,tn,tn-n);
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zero=neg=0;
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switch (c1*3+c2)
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{
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case -4:
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bn_sub_words(t, &(a[n]),a, n); /* - */
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bn_sub_words(&(t[n]),b, &(b[n]),n); /* - */
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bn_sub_part_words(t, &(a[n]),a, tn,tn-n); /* - */
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bn_sub_part_words(&(t[n]),b, &(b[n]),tn,n-tn); /* - */
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break;
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case -3:
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zero=1;
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/* break; */
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case -2:
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bn_sub_words(t, &(a[n]),a, n); /* - */
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bn_sub_words(&(t[n]),&(b[n]),b, n); /* + */
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bn_sub_part_words(t, &(a[n]),a, tn,tn-n); /* - */
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bn_sub_part_words(&(t[n]),&(b[n]),b, tn,tn-n); /* + */
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neg=1;
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break;
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case -1:
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|
@ -261,16 +581,16 @@ void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int tn,
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zero=1;
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/* break; */
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case 2:
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bn_sub_words(t, a, &(a[n]),n); /* + */
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bn_sub_words(&(t[n]),b, &(b[n]),n); /* - */
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bn_sub_part_words(t, a, &(a[n]),tn,n-tn); /* + */
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bn_sub_part_words(&(t[n]),b, &(b[n]),tn,n-tn); /* - */
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neg=1;
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break;
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case 3:
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zero=1;
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/* break; */
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case 4:
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bn_sub_words(t, a, &(a[n]),n);
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bn_sub_words(&(t[n]),&(b[n]),b, n);
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bn_sub_part_words(t, a, &(a[n]),tn,n-tn);
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bn_sub_part_words(&(t[n]),&(b[n]),b, tn,tn-n);
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break;
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}
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/* The zero case isn't yet implemented here. The speedup
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|
@ -678,21 +998,19 @@ int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
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{
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if (i == 1 && !BN_get_flags(b,BN_FLG_STATIC_DATA))
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{
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BIGNUM *tmp_bn = free_b;
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b = free_b = bn_dup_expand(b,al);
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free_b->d[bl]=0;
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BIGNUM *tmp_bn = (BIGNUM *)b;
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bn_wexpand(tmp_bn,al);
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tmp_bn->d[bl]=0;
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bl++;
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i--;
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if (tmp_bn) BN_free(tmp_bn);
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}
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else if (i == -1 && !BN_get_flags(a,BN_FLG_STATIC_DATA))
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{
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BIGNUM *tmp_bn = free_a;
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a = free_a = bn_dup_expand(a,bl);
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free_a->d[al]=0;
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BIGNUM *tmp_bn = (BIGNUM *)a;
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bn_wexpand(tmp_bn,bl);
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tmp_bn->d[al]=0;
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al++;
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i++;
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if (tmp_bn) BN_free(tmp_bn);
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}
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if (i == 0)
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{
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|
@ -710,17 +1028,8 @@ int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
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}
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else
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{
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BIGNUM *tmp_a = free_a,*tmp_b = free_b;
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a = free_a = bn_dup_expand(a,k);
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b = free_b = bn_dup_expand(b,k);
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if (tmp_a) BN_free(tmp_a);
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if (tmp_b) BN_free(tmp_b);
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bn_wexpand(t,k*4);
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bn_wexpand(rr,k*4);
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for (i=free_a->top; i<k; i++)
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free_a->d[i]=0;
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for (i=free_b->top; i<k; i++)
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free_b->d[i]=0;
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bn_mul_part_recursive(rr->d,a->d,b->d,al-j,j,t->d);
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}
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rr->top=top;
|
||||
|
|
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