diff libtommath/bn_mp_toom_mul.c @ 1436:60fc6476e044

Update to libtommath v1.0
author Matt Johnston <matt@ucc.asn.au>
date Sat, 24 Jun 2017 22:37:14 +0800
parents 5ff8218bcee9
children 8bba51a55704
line wrap: on
line diff
--- a/libtommath/bn_mp_toom_mul.c	Sat Jun 24 17:50:50 2017 +0800
+++ b/libtommath/bn_mp_toom_mul.c	Sat Jun 24 22:37:14 2017 +0800
@@ -1,4 +1,4 @@
-#include <tommath.h>
+#include <tommath_private.h>
 #ifdef BN_MP_TOOM_MUL_C
 /* LibTomMath, multiple-precision integer library -- Tom St Denis
  *
@@ -12,31 +12,31 @@
  * The library is free for all purposes without any express
  * guarantee it works.
  *
- * Tom St Denis, [email protected], http://math.libtomcrypt.com
+ * Tom St Denis, [email protected], http://libtom.org
  */
 
-/* multiplication using the Toom-Cook 3-way algorithm 
+/* multiplication using the Toom-Cook 3-way algorithm
  *
- * Much more complicated than Karatsuba but has a lower 
- * asymptotic running time of O(N**1.464).  This algorithm is 
- * only particularly useful on VERY large inputs 
+ * Much more complicated than Karatsuba but has a lower
+ * asymptotic running time of O(N**1.464).  This algorithm is
+ * only particularly useful on VERY large inputs
  * (we're talking 1000s of digits here...).
 */
 int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c)
 {
     mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2;
     int res, B;
-        
+
     /* init temps */
-    if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, 
-                             &a0, &a1, &a2, &b0, &b1, 
+    if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4,
+                             &a0, &a1, &a2, &b0, &b1,
                              &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) {
        return res;
     }
-    
+
     /* B */
     B = MIN(a->used, b->used) / 3;
-    
+
     /* a = a2 * B**2 + a1 * B + a0 */
     if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) {
        goto ERR;
@@ -46,13 +46,15 @@
        goto ERR;
     }
     mp_rshd(&a1, B);
-    mp_mod_2d(&a1, DIGIT_BIT * B, &a1);
+    if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) {
+       goto ERR;
+    }
 
     if ((res = mp_copy(a, &a2)) != MP_OKAY) {
        goto ERR;
     }
     mp_rshd(&a2, B*2);
-    
+
     /* b = b2 * B**2 + b1 * B + b0 */
     if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) {
        goto ERR;
@@ -62,23 +64,23 @@
        goto ERR;
     }
     mp_rshd(&b1, B);
-    mp_mod_2d(&b1, DIGIT_BIT * B, &b1);
+    (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1);
 
     if ((res = mp_copy(b, &b2)) != MP_OKAY) {
        goto ERR;
     }
     mp_rshd(&b2, B*2);
-    
+
     /* w0 = a0*b0 */
     if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) {
        goto ERR;
     }
-    
+
     /* w4 = a2 * b2 */
     if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) {
        goto ERR;
     }
-    
+
     /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */
     if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) {
        goto ERR;
@@ -92,7 +94,7 @@
     if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) {
        goto ERR;
     }
-    
+
     if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) {
        goto ERR;
     }
@@ -105,11 +107,11 @@
     if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) {
        goto ERR;
     }
-    
+
     if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) {
        goto ERR;
     }
-    
+
     /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */
     if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) {
        goto ERR;
@@ -123,7 +125,7 @@
     if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) {
        goto ERR;
     }
-    
+
     if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) {
        goto ERR;
     }
@@ -136,11 +138,11 @@
     if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) {
        goto ERR;
     }
-    
+
     if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) {
        goto ERR;
     }
-    
+
 
     /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */
     if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) {
@@ -158,127 +160,127 @@
     if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) {
        goto ERR;
     }
-    
-    /* now solve the matrix 
-    
+
+    /* now solve the matrix
+
        0  0  0  0  1
        1  2  4  8  16
        1  1  1  1  1
        16 8  4  2  1
        1  0  0  0  0
-       
-       using 12 subtractions, 4 shifts, 
-              2 small divisions and 1 small multiplication 
+
+       using 12 subtractions, 4 shifts,
+              2 small divisions and 1 small multiplication
      */
-     
-     /* r1 - r4 */
-     if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r3 - r0 */
-     if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r1/2 */
-     if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r3/2 */
-     if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r2 - r0 - r4 */
-     if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r1 - r2 */
-     if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r3 - r2 */
-     if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r1 - 8r0 */
-     if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r3 - 8r4 */
-     if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* 3r2 - r1 - r3 */
-     if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r1 - r2 */
-     if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r3 - r2 */
-     if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r1/3 */
-     if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) {
-        goto ERR;
-     }
-     /* r3/3 */
-     if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) {
-        goto ERR;
-     }
-     
-     /* at this point shift W[n] by B*n */
-     if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) {
-        goto ERR;
-     }     
-     
-     if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) {
-        goto ERR;
-     }
-     if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) {
-        goto ERR;
-     }     
-     
+
+    /* r1 - r4 */
+    if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r3 - r0 */
+    if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r1/2 */
+    if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r3/2 */
+    if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r2 - r0 - r4 */
+    if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r1 - r2 */
+    if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r3 - r2 */
+    if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r1 - 8r0 */
+    if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r3 - 8r4 */
+    if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* 3r2 - r1 - r3 */
+    if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r1 - r2 */
+    if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r3 - r2 */
+    if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r1/3 */
+    if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) {
+       goto ERR;
+    }
+    /* r3/3 */
+    if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) {
+       goto ERR;
+    }
+
+    /* at this point shift W[n] by B*n */
+    if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) {
+       goto ERR;
+    }
+
+    if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) {
+       goto ERR;
+    }
+    if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) {
+       goto ERR;
+    }
+
 ERR:
-     mp_clear_multi(&w0, &w1, &w2, &w3, &w4, 
-                    &a0, &a1, &a2, &b0, &b1, 
-                    &b2, &tmp1, &tmp2, NULL);
-     return res;
-}     
-     
+    mp_clear_multi(&w0, &w1, &w2, &w3, &w4,
+                   &a0, &a1, &a2, &b0, &b1,
+                   &b2, &tmp1, &tmp2, NULL);
+    return res;
+}
+
 #endif
 
-/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */
-/* $Revision: 1.3 $ */
-/* $Date: 2006/03/31 14:18:44 $ */
+/* $Source$ */
+/* $Revision$ */
+/* $Date$ */