Fix various mistakes in ec_GFp_nistp_recode_scalar_bits comment.
Change-Id: I9b94e2da1bdf83a51b3dc219c154c5706e493e85 Reviewed-on: https://boringssl-review.googlesource.com/c/boringssl/+/36244 Reviewed-by: Adam Langley <agl@google.com>
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@ -43,13 +43,13 @@
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// of a nonnegative integer (b_k in {0, 1}), rewrite it in digits 0, 1, -1
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// by using bit-wise subtraction as follows:
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//
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// b_k b_(k-1) ... b_2 b_1 b_0
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// - b_k ... b_3 b_2 b_1 b_0
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// -------------------------------------
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// s_k b_(k-1) ... s_3 s_2 s_1 s_0
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// b_k b_(k-1) ... b_2 b_1 b_0
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// - b_k ... b_3 b_2 b_1 b_0
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// -----------------------------------------
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// s_(k+1) s_k ... s_3 s_2 s_1 s_0
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//
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// A left-shift followed by subtraction of the original value yields a new
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// representation of the same value, using signed bits s_i = b_(i+1) - b_i.
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// representation of the same value, using signed bits s_i = b_(i-1) - b_i.
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// This representation from Booth's paper has since appeared in the
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// literature under a variety of different names including "reversed binary
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// form", "alternating greedy expansion", "mutual opposite form", and
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@ -73,7 +73,7 @@
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// (1961), pp. 67-91), in a radix-2^5 setting. That is, we always combine five
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// signed bits into a signed digit:
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//
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// s_(4j + 4) s_(4j + 3) s_(4j + 2) s_(4j + 1) s_(4j)
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// s_(5j + 4) s_(5j + 3) s_(5j + 2) s_(5j + 1) s_(5j)
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//
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// The sign-alternating property implies that the resulting digit values are
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// integers from -16 to 16.
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@ -81,14 +81,14 @@
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// Of course, we don't actually need to compute the signed digits s_i as an
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// intermediate step (that's just a nice way to see how this scheme relates
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// to the wNAF): a direct computation obtains the recoded digit from the
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// six bits b_(4j + 4) ... b_(4j - 1).
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// six bits b_(5j + 4) ... b_(5j - 1).
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//
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// This function takes those five bits as an integer (0 .. 63), writing the
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// This function takes those six bits as an integer (0 .. 63), writing the
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// recoded digit to *sign (0 for positive, 1 for negative) and *digit (absolute
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// value, in the range 0 .. 8). Note that this integer essentially provides the
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// input bits "shifted to the left" by one position: for example, the input to
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// compute the least significant recoded digit, given that there's no bit b_-1,
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// has to be b_4 b_3 b_2 b_1 b_0 0.
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// value, in the range 0 .. 16). Note that this integer essentially provides
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// the input bits "shifted to the left" by one position: for example, the input
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// to compute the least significant recoded digit, given that there's no bit
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// b_-1, has to be b_4 b_3 b_2 b_1 b_0 0.
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void ec_GFp_nistp_recode_scalar_bits(uint8_t *sign, uint8_t *digit,
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uint8_t in) {
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uint8_t s, d;
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