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chore: Remove Dafny trigger warnings #160

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merged 5 commits into from
Oct 9, 2024
Merged

chore: Remove Dafny trigger warnings #160

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8f9bd71
chore: Remove Dafny trigger warnings
seebees Oct 3, 2024
0d90e8e
fix CI
seebees Oct 3, 2024
e7419fd
copy over the real trigger
seebees Oct 3, 2024
eb52140
supress trigger warning!
seebees Oct 4, 2024
7cfcea2
duplicate names
seebees Oct 4, 2024
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20 changes: 10 additions & 10 deletions src/NonlinearArithmetic/DivMod.dfy
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Original file line number Diff line number Diff line change
Expand Up @@ -209,7 +209,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall a: int, b: int, d: int, R: int {:trigger d * ((a + b) / d) - R, d*(a/d) + d*(b/d)}
:: 0 < d && R == a%d + b%d - (a+b)%d ==> d*((a+b)/d) - R == d*(a/d) + d*(b/d)
{
forall (a: int, b: int, d: int, R: int {:trigger true} | 0< d && R == a%d + b%d - (a+b)%d)
forall (a: int, b: int, d: int, R: int {:trigger d * ((a + b) / d) - R, d*(a/d) + d*(b/d)} | 0< d && R == a%d + b%d - (a+b)%d)
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I think you can't use interpreted functions, like any of the arithmetic or logical operators, in a trigger. Sorry that there is no automatic feedback on this, or even good documentation. And to be honest I'm not sure what the right trigger for this forall would be. @MikaelMayer @atomb ?

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You can run Dafny and it will give you some help, but also {:nowarn} works in newer versions of Dafny, and that gets me what I want!

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Please use {:nowarn} everywhere then. These triggers are not valid triggers because they map to builtin operators that do not work with pattern matching.

ensures d*((a+b)/d) - R == d*(a/d) + d*(b/d)
{
LemmaDividingSums(a, b, d, R);
Expand Down Expand Up @@ -724,7 +724,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall x: int, a: int, d: int {:trigger a / d, x * d, x * a}
:: 0 < x && 0 <= a && 0 < d ==> 0 < x * d && a / d == (x * a) / (x * d)
{
forall x: int, a: int, d: int {:trigger true} | 0 < x && 0 <= a && 0 < d
forall x: int, a: int, d: int {:trigger a / d, x * d, x * a} | 0 < x && 0 <= a && 0 < d
ensures 0 < x * d && a / d == (x * a) / (x * d)
{
LemmaDivMultiplesVanishQuotient(x, a, d);
Expand All @@ -747,7 +747,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall a: int, r: int, d: int {:trigger d * ((a + r) / d)}
:: 0 < d && a % d == 0 && 0 <= r < d ==> a == d * ((a + r) / d)
{
forall a: int, r: int, d: int {:trigger true} | 0 < d && a % d == 0 && 0 <= r < d
forall a: int, r: int, d: int {:trigger d * ((a + r) / d)} | 0 < d && a % d == 0 && 0 <= r < d
ensures a == d * ((a + r) / d)
{
LemmaRoundDown(a, r, d);
Expand All @@ -770,7 +770,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall x: int, b: int, d: int {:trigger (d * x + b) / d}
:: 0 < d && 0 <= b < d ==> (d * x + b) / d == x
{
forall x: int, b: int, d: int {:trigger true} | 0 < d && 0 <= b < d
forall x: int, b: int, d: int {:trigger (d * x + b) / d} | 0 < d && 0 <= b < d
ensures (d * x + b) / d == x
{
LemmaDivMultiplesVanishFancy(x, b, d);
Expand Down Expand Up @@ -936,7 +936,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall a: int, b: int, c: int {:trigger b * (a / b) % (b * c)}
:: 0 <= a && 0 < b && 0 < c ==> 0 < b * c && (b * (a / b) % (b * c)) <= b * (c - 1)
{
forall a: int, b: int, c: int {:trigger true} | 0 <= a && 0 < b && 0 < c
forall a: int, b: int, c: int {:trigger b * (a / b) % (b * c)} | 0 <= a && 0 < b && 0 < c
ensures 0 < b * c && (b * (a / b) % (b * c)) <= b * (c - 1)
{
LemmaPartBound1(a, b, c);
Expand Down Expand Up @@ -1205,7 +1205,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall x: int, y: int, m: int {:trigger (x + y) % m}
:: 0 < m ==> (x + (y % m)) % m == (x + y) % m
{
forall x: int, y: int, m: int {:trigger true} | 0 < m
forall x: int, y: int, m: int {:trigger (x + y) % m} | 0 < m
ensures (x + (y % m)) % m == (x + y) % m
{
LemmaAddModNoopRight(x, y, m);
Expand Down Expand Up @@ -1243,7 +1243,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall x: int, y: int, m: int {:trigger (x - y) % m}
:: 0 < m ==> (x - (y % m)) % m == (x - y) % m
{
forall x: int, y: int, m: int {:trigger true} | 0 < m
forall x: int, y: int, m: int {:trigger (x - y) % m} | 0 < m
ensures (x - (y % m)) % m == (x - y) % m
{
LemmaSubModNoopRight(x, y, m);
Expand Down Expand Up @@ -1306,7 +1306,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall x: int, d: int, q: int, r: int {:trigger q * d + r, x % d}
:: d != 0 && 0 <= r < d && x == q * d + r ==> q == x / d && r == x % d
{
forall x: int, d: int, q: int, r: int {:trigger true} | d != 0 && 0 <= r < d && x == q * d + r
forall x: int, d: int, q: int, r: int {:trigger q * d + r, x % d} | d != 0 && 0 <= r < d && x == q * d + r
ensures q == x / d && r == x % d
{
LemmaFundamentalDivModConverse(x, d, q, r);
Expand Down Expand Up @@ -1499,7 +1499,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall x: int, k: int, d: int {:trigger x % (d * k)}
:: 1 < d && 0 < k ==> 0 < d * k && x % d <= x % (d * k)
{
forall x: int, k: int, d: int {:trigger true} | 1 < d && 0 < k
forall x: int, k: int, d: int {:trigger x % (d * k)} | 1 < d && 0 < k
ensures d * k > 0 && x % d <= x % (d * k)
{
LemmaModOrdering(x, k, d);
Expand Down Expand Up @@ -1563,7 +1563,7 @@ module {:options "-functionSyntax:4"} DivMod {
ensures forall x: int, y: int, z: int {:trigger y * z, x % y}
:: 0 <= x && 0 < y && 0 < z ==> y * z > 0 && (x % y) % (y * z) < y
{
forall x: int, y: int, z: int {:trigger true} | 0 <= x && 0 < y && 0 < z
forall x: int, y: int, z: int {:trigger y * z, x % y} | 0 <= x && 0 < y && 0 < z
ensures y * z > 0 && (x % y) % (y * z) < y
{
LemmaPartBound2(x, y, z);
Expand Down
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