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https://github.com/ethereum/solidity
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#3961 - added a more detailed description to the calculation of offsets
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@ -278,7 +278,7 @@ All together, the encoding is (newline after function selector and each 32-bytes
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000000000000000000000000000000000000000000000000000000000000000d
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000000000000000000000000000000000000000000000000000000000000000d
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48656c6c6f2c20776f726c642100000000000000000000000000000000000000
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48656c6c6f2c20776f726c642100000000000000000000000000000000000000
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Lets apply the same principle to encode a function with a signature ``g(uint[][],string[])`` with values ``([[1, 2], [3]], ["one", "two", "three"])`` but start from the most atomic parts of the encoding:
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Let us apply the same principle to encode the data for a function with a signature ``g(uint[][],string[])`` with values ``([[1, 2], [3]], ["one", "two", "three"])`` but start from the most atomic parts of the encoding:
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First we encode the length and data of the first embeded dynamic array ``[1, 2]`` of the first root array ``[[1, 2], [3]]``:
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First we encode the length and data of the first embeded dynamic array ``[1, 2]`` of the first root array ``[[1, 2], [3]]``:
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@ -291,11 +291,22 @@ Then we encode the length and data of the second embeded dynamic array ``[3]`` o
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- ``0x0000000000000000000000000000000000000000000000000000000000000001`` (number of elements in the second array, 1; the element is ``3``)
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- ``0x0000000000000000000000000000000000000000000000000000000000000001`` (number of elements in the second array, 1; the element is ``3``)
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- ``0x0000000000000000000000000000000000000000000000000000000000000003`` (first element)
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- ``0x0000000000000000000000000000000000000000000000000000000000000003`` (first element)
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Since ``[1, 2]`` and ``[3]`` are dynamic arrays we need to find offsets of their content from the data part of the encoding of the first root array ``[[1, 2], [3]]`` and prepend their count which is not considered for offsets:
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Then we need to find the offsets ``a`` and ``b`` for their respective dynamic arrays ``[1, 2]`` and ``[3]``. To calculate the offsets we can take a look at the encoded data of the first root array ``[[1, 2], [3]]`` enumerating each line in the encoding:
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::
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0 - a - offset of [1, 2]
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1 - b - offset of [3]
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2 - 0000000000000000000000000000000000000000000000000000000000000002 - count for [1, 2]
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3 - 0000000000000000000000000000000000000000000000000000000000000001 - encoding of 1
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4 - 0000000000000000000000000000000000000000000000000000000000000002 - encoding of 2
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5 - 0000000000000000000000000000000000000000000000000000000000000001 - count for [3]
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6 - 0000000000000000000000000000000000000000000000000000000000000003 - encoding of 3
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Offset ``a`` points to the start of the content of the array ``[1, 2]`` which is line 2 (64 bytes); thus ``a = 0x0000000000000000000000000000000000000000000000000000000000000040``.
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Offset ``b`` points to the start of the content of the array ``[3]`` which is line 5 (160 bytes); thus ``b = 0x00000000000000000000000000000000000000000000000000000000000000a0``.
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- ``0x0000000000000000000000000000000000000000000000000000000000000002`` (number of elements in the first root array, 2; the elements themselves are ``[1, 2]`` and ``[3]``)
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- ``0x0000000000000000000000000000000000000000000000000000000000000040`` (64 bytes offset to the start of the content of the first embeded dynamic array ``[1, 2]``)
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- ``0x00000000000000000000000000000000000000000000000000000000000000a0`` (160 bytes offset to the start of the content of the second embeded argument ``[3]``)
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Then we encode the embeded strings of the second root array:
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Then we encode the embeded strings of the second root array:
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@ -306,45 +317,66 @@ Then we encode the embeded strings of the second root array:
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- ``0x0000000000000000000000000000000000000000000000000000000000000005`` (number of characters in word ``"three"``)
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- ``0x0000000000000000000000000000000000000000000000000000000000000005`` (number of characters in word ``"three"``)
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- ``0x7468726565000000000000000000000000000000000000000000000000000000`` (utf8 representation of word ``"three"``)
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- ``0x7468726565000000000000000000000000000000000000000000000000000000`` (utf8 representation of word ``"three"``)
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In parallel to the first root array, since strings are dynamic elements we need to find their offsets and prepend their count:
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In parallel to the first root array, since strings are dynamic elements we need to find their offsets ``c``, ``d`` and ``e``:
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- ``0x0000000000000000000000000000000000000000000000000000000000000003`` (number of strings in the second root array, 3; the strings themselves are ``"one"``, ``"two"`` and ``"three"``)
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- ``0x0000000000000000000000000000000000000000000000000000000000000060`` (96 bytes offset to the content of the first string)
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- ``0x00000000000000000000000000000000000000000000000000000000000000a0`` (160 bytes offset to the content of the second string)
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- ``0x00000000000000000000000000000000000000000000000000000000000000e0`` (224 bytes offset to the content of the thrird string)
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Note that encodings of the embeded elements of the root arrays are not dependent on each other and would have the same encodings for a fuction with a signature ``g(string[],uint[][])``.
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Finally we can count the offsets to the content of the root dynamic arrays ``[[1, 2], [3]]`` and ``["one", "two", "three"]``:
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- ``0x0000000000000000000000000000000000000000000000000000000000000040`` (64 bytes offset to the start of the content of the first root dynamic array ``[[1, 2], [3]]``)
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- ``0x0000000000000000000000000000000000000000000000000000000000000140`` (320 bytes offset to the start of the content of the second root dynamic array ``["one", "two", "three"]``)
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Now we can assemble parts in the correct order ending up with:
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::
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::
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0x2289b18c - function signature
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0 - c - offset for "one"
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0000000000000000000000000000000000000000000000000000000000000040 - offset of [[1, 2], [3]]
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1 - d - offset for "two"
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0000000000000000000000000000000000000000000000000000000000000140 - offset of ["one", "two", "three"]
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2 - e - offset for "three"
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0000000000000000000000000000000000000000000000000000000000000002 - count for [[1, 2], [3]]
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3 - 0000000000000000000000000000000000000000000000000000000000000003 - count for "one"
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0000000000000000000000000000000000000000000000000000000000000040 - offset of [1, 2]
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4 - 6f6e650000000000000000000000000000000000000000000000000000000000 - encoding of "one"
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00000000000000000000000000000000000000000000000000000000000000a0 - offset of [3]
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5 - 0000000000000000000000000000000000000000000000000000000000000003 - count for "two"
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0000000000000000000000000000000000000000000000000000000000000002 - count for [1, 2]
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6 - 74776f0000000000000000000000000000000000000000000000000000000000 - encoding of "two"
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0000000000000000000000000000000000000000000000000000000000000001 - encoding of 1
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7 - 0000000000000000000000000000000000000000000000000000000000000005 - count for "three"
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0000000000000000000000000000000000000000000000000000000000000002 - encoding of 2
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8 - 7468726565000000000000000000000000000000000000000000000000000000 - encoding of "three"
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0000000000000000000000000000000000000000000000000000000000000001 - count for [3]
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0000000000000000000000000000000000000000000000000000000000000003 - encoding of 3
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Offset ``c`` points to the start of the content of the string ``"one"`` which is line 3 (96 bytes); thus ``c = 0x0000000000000000000000000000000000000000000000000000000000000060``.
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0000000000000000000000000000000000000000000000000000000000000003 - count for ["one", "two", "three"]
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0000000000000000000000000000000000000000000000000000000000000060 - offset for "one"
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Offset ``d`` points to the start of the content of the string ``"two"`` which is line 5 (160 bytes); thus ``d = 0x00000000000000000000000000000000000000000000000000000000000000a0``.
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00000000000000000000000000000000000000000000000000000000000000a0 - offset for "two"
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00000000000000000000000000000000000000000000000000000000000000e0 - offset for "three"
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Offset ``e`` points to the start of the content of the string ``"three"`` which is line 7 (224 bytes); thus ``e = 0x00000000000000000000000000000000000000000000000000000000000000e0``.
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0000000000000000000000000000000000000000000000000000000000000003 - count for "one"
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6f6e650000000000000000000000000000000000000000000000000000000000 - encoding of "one"
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0000000000000000000000000000000000000000000000000000000000000003 - count for "two"
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Note that the encodings of the embeded elements of the root arrays are not dependent on each other and have the same encodings for a fuction with a signature ``g(string[],uint[][])``.
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74776f0000000000000000000000000000000000000000000000000000000000 - encoding of "two"
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0000000000000000000000000000000000000000000000000000000000000005 - count for "three"
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Then we encode the length of the first root array:
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7468726565000000000000000000000000000000000000000000000000000000 - encoding of "three"
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- ``0x0000000000000000000000000000000000000000000000000000000000000002`` (number of elements in the first root array, 2; the elements themselves are ``[1, 2]`` and ``[3]``)
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Then we encode the length of the second root array:
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- ``0x0000000000000000000000000000000000000000000000000000000000000003`` (number of strings in the second root array, 3; the strings themselves are ``"one"``, ``"two"`` and ``"three"``)
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Finally we find the offsets ``f`` and ``g`` for their respective root dynamic arrays ``[[1, 2], [3]]`` and ``["one", "two", "three"]``, and assemble parts in the correct order:
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::
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0x2289b18c - function signature
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0 - f - offset of [[1, 2], [3]]
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1 - g - offset of ["one", "two", "three"]
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2 - 0000000000000000000000000000000000000000000000000000000000000002 - count for [[1, 2], [3]]
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3 - 0000000000000000000000000000000000000000000000000000000000000040 - offset of [1, 2]
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4 - 00000000000000000000000000000000000000000000000000000000000000a0 - offset of [3]
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5 - 0000000000000000000000000000000000000000000000000000000000000002 - count for [1, 2]
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6 - 0000000000000000000000000000000000000000000000000000000000000001 - encoding of 1
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7 - 0000000000000000000000000000000000000000000000000000000000000002 - encoding of 2
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8 - 0000000000000000000000000000000000000000000000000000000000000001 - count for [3]
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9 - 0000000000000000000000000000000000000000000000000000000000000003 - encoding of 3
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10 - 0000000000000000000000000000000000000000000000000000000000000003 - count for ["one", "two", "three"]
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11 - 0000000000000000000000000000000000000000000000000000000000000060 - offset for "one"
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12 - 00000000000000000000000000000000000000000000000000000000000000a0 - offset for "two"
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13 - 00000000000000000000000000000000000000000000000000000000000000e0 - offset for "three"
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14 - 0000000000000000000000000000000000000000000000000000000000000003 - count for "one"
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15 - 6f6e650000000000000000000000000000000000000000000000000000000000 - encoding of "one"
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16 - 0000000000000000000000000000000000000000000000000000000000000003 - count for "two"
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17 - 74776f0000000000000000000000000000000000000000000000000000000000 - encoding of "two"
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18 - 0000000000000000000000000000000000000000000000000000000000000005 - count for "three"
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19 - 7468726565000000000000000000000000000000000000000000000000000000 - encoding of "three"
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Offset ``f`` points to the start of the content of the array ``[[1, 2], [3]]`` which is line 2 (64 bytes); thus ``f = 0x0000000000000000000000000000000000000000000000000000000000000040``.
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Offset ``g`` points to the start of the content of the array ``["one", "two", "three"]`` which is line 10 (320 bytes); thus ``g = 0x0000000000000000000000000000000000000000000000000000000000000140``.
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Events
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Events
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======
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======
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