shithub: MicroHs

--- a/generated/mhs.c

+++ b/generated/mhs.c

@@ -1,5259 +1,5262 @@

 static unsigned char data[] = {

-122,76,90,49,53,154,1,0,26,118,55,46,48,10,50,49,52,51,10,65,

-32,95,48,32,95,50,51,32,64,95,50,49,50,32,64,66,224,15,2,6,

-50,49,32,64,64,66,32,224,18,4,16,48,32,64,64,64,83,39,32,66,

-32,64,66,39,32,67,32,83,64,50,6,83,32,67,39,32,83,39,128,10,

-7,64,95,49,50,54,32,95,50,160,48,0,52,64,10,22,54,32,64,102,

-114,111,109,85,84,70,56,32,34,45,45,118,101,114,115,105,111,110,34,64,

-75,17,64,64,67,39,66,32,85,32,95,50,53,57,32,95,49,51,49,32,

-224,41,1,8,77,105,99,114,111,72,115,44,32,160,48,0,32,64,49,96,

-35,3,95,50,54,55,64,105,224,46,4,16,44,32,99,111,109,98,105,110,

-97,116,111,114,32,102,105,108,101,224,55,5,2,50,54,56,128,112,2,64,

-75,50,96,8,2,83,39,32,64,123,2,64,67,32,224,178,25,6,110,117,

-109,101,114,105,99,224,186,6,2,66,32,80,160,184,96,143,224,89,0,129,

-54,65,13,96,99,64,5,1,95,56,64,181,1,51,32,96,118,2,95,50,

-51,65,82,65,95,8,67,32,95,50,55,48,32,64,35,129,108,96,77,64,

-7,224,218,5,6,102,108,97,103,115,32,61,96,200,4,64,95,49,49,55,

-64,53,0,53,160,107,1,64,67,128,100,161,173,0,83,64,27,0,54,64,

-27,128,121,224,23,4,96,165,224,23,10,97,26,65,13,0,66,65,219,10,

-95,50,56,49,32,64,85,32,75,32,65,161,163,65,234,2,39,32,64,96,

-208,3,95,50,56,50,65,40,1,56,51,65,59,5,67,32,95,54,49,53,

-65,140,0,52,64,68,0,75,96,161,2,50,48,50,192,105,3,67,39,32,

-80,64,231,0,39,64,86,1,48,57,64,57,0,55,64,191,2,52,48,53,

-224,224,2,11,99,111,109,109,97,110,100,45,108,105,110,101,64,228,0,35,

-65,18,98,108,65,83,2,95,50,49,65,47,1,48,57,65,63,160,144,64,

-19,0,57,96,14,64,100,98,191,64,134,96,125,1,49,50,65,135,1,85,

-32,129,142,64,199,96,150,224,43,0,128,150,3,95,50,49,52,64,98,162,

-206,2,32,95,54,97,163,2,49,50,57,64,205,0,54,64,107,64,34,97,

-165,97,46,128,60,129,210,3,95,49,51,52,98,141,226,57,0,64,147,1,

-53,50,65,153,96,13,5,79,32,35,52,54,32,129,15,193,28,3,67,39,

-32,79,96,105,3,50,49,48,55,224,8,2,160,6,161,61,192,45,96,0,

-9,58,50,49,52,50,32,64,10,65,32,65,106,224,1,17,65,197,3,48,

-50,53,32,65,52,2,95,49,51,64,129,3,66,32,79,32,224,133,3,128,

-125,66,237,1,51,49,226,221,3,3,47,108,105,98,98,88,128,125,224,24,

-1,3,111,117,116,46,67,82,162,117,96,84,224,6,28,96,190,224,6,0,

-160,20,0,54,129,47,160,6,224,27,3,224,113,1,6,100,101,102,97,117,

-108,116,64,112,64,248,0,49,96,248,2,66,32,89,97,117,97,164,0,83,

-194,78,65,132,4,67,32,64,64,80,226,122,0,161,153,64,5,64,13,163,

-130,132,153,227,225,25,163,210,224,69,53,0,118,224,69,60,0,113,224,69,

-60,0,114,224,69,60,0,108,224,69,60,0,115,224,69,60,1,67,82,224,

-70,61,0,87,224,70,61,224,69,60,0,84,224,69,60,3,88,67,80,80,

-224,72,60,0,122,224,69,60,0,81,224,69,3,195,182,198,111,128,85,232,

-43,30,0,111,224,73,0,64,58,0,82,96,66,229,186,2,229,178,0,64,

-64,133,178,224,117,60,2,112,116,99,224,120,21,128,97,224,126,0,0,52,

-224,126,0,103,67,165,98,135,34,1,64,67,69,118,198,128,224,156,12,161,

-87,64,14,64,30,128,33,192,25,64,10,193,127,224,10,1,224,207,9,102,

-183,1,35,52,200,21,160,38,128,51,225,191,1,232,241,4,128,50,1,49,

-48,192,51,165,85,64,34,160,49,69,107,134,167,64,246,0,67,231,35,1,

-103,241,135,35,198,173,232,252,0,224,195,84,192,160,224,195,15,128,49,225,

-174,21,224,188,1,225,174,4,1,54,54,64,68,225,174,6,224,206,109,0,

-49,72,117,224,206,16,226,246,14,224,170,110,106,107,224,170,24,0,54,224,

-170,13,224,176,1,192,102,160,168,224,13,0,224,171,24,224,41,1,160,57,

-224,16,0,2,66,32,90,224,16,5,169,254,224,192,4,236,22,0,226,50,

-20,108,110,226,50,10,0,49,227,225,10,224,219,129,0,55,225,111,0,224,

-219,71,226,98,99,0,56,140,8,128,36,226,97,8,108,89,192,202,0,56,

-228,150,2,99,205,224,180,90,229,85,13,0,57,107,208,229,84,37,236,120,

-2,229,84,123,224,194,0,128,48,225,119,6,226,68,6,224,187,1,226,68,

-4,0,55,128,18,229,83,8,192,113,128,125,225,27,1,224,201,5,0,67,

-224,201,62,143,15,226,65,27,0,51,109,63,226,65,10,227,96,13,160,139,

-141,201,64,171,239,184,6,7,85,110,107,110,111,119,110,32,79,192,1,58,

-32,104,83,205,128,96,5,2,79,32,35,64,55,65,26,238,223,4,224,0,

-2,193,210,64,229,97,33,129,224,144,70,111,130,4,95,50,48,51,56,232,

-192,3,0,46,136,189,224,34,20,137,89,224,25,11,0,97,232,250,0,129,

-201,129,31,96,179,225,199,4,226,13,19,233,16,35,161,62,227,11,5,129,

-33,161,135,65,34,224,39,15,0,50,224,39,30,231,42,1,224,39,21,224,

-185,1,224,39,11,0,39,224,40,1,232,68,2,224,20,1,230,229,1,160,

-61,224,108,21,224,46,8,224,39,14,233,109,3,224,39,19,229,201,1,224,

-39,19,0,48,231,140,2,224,79,21,229,78,3,224,39,19,228,184,2,4,

-54,49,32,95,55,97,68,0,57,224,9,0,2,55,57,32,114,223,128,0,

-224,64,0,0,83,224,64,11,65,98,1,55,57,128,57,83,180,104,99,226,

-113,0,131,189,101,64,112,33,0,48,112,33,6,95,54,56,50,32,75,32,

-81,232,132,5,224,1,19,108,207,224,0,5,224,50,41,224,47,38,224,44,

-35,224,41,32,224,38,29,224,35,26,224,32,23,224,29,20,224,26,17,224,

-23,14,224,20,11,224,17,8,224,14,5,224,11,2,192,8,96,5,100,189,

-75,205,224,0,12,0,58,130,87,226,31,3,0,90,224,146,4,224,1,13,

-226,31,255,224,34,21,226,31,156,226,29,18,66,28,0,56,226,28,5,224,

-100,1,235,89,6,224,1,17,226,43,255,224,34,21,226,43,101,225,244,13,

-65,239,0,55,225,239,15,64,1,161,243,225,245,255,224,37,24,225,245,91,

-225,202,11,65,200,0,54,225,200,17,193,198,224,84,7,224,1,9,225,197,

-255,224,34,21,225,197,58,224,23,14,227,167,12,65,221,0,53,227,166,19,

-227,168,2,225,227,255,224,37,23,225,227,65,225,178,10,65,176,0,52,225,

-176,21,225,178,3,225,179,255,224,37,23,225,179,36,225,150,9,65,149,0,

-51,225,149,23,128,1,225,155,2,225,158,229,225,53,6,65,50,159,104,225,

-50,24,192,1,225,58,5,64,0,224,49,23,225,62,12,224,136,2,64,132,

-158,244,224,132,28,224,128,7,224,43,19,128,1,225,189,107,225,104,4,64,

-225,239,180,6,224,78,21,225,100,8,224,46,21,64,1,224,228,60,224,181,

-3,0,58,148,223,224,180,29,224,176,6,224,40,17,192,1,227,81,151,227,

-40,5,65,11,237,56,16,224,1,1,225,5,3,224,31,11,224,1,5,228,

-84,192,224,38,29,224,35,26,229,211,8,65,119,236,192,20,224,1,11,228,

-161,9,224,88,2,64,81,0,54,224,81,9,64,51,224,87,23,225,177,255,

-224,35,3,224,32,23,224,29,20,224,26,17,224,23,14,224,20,11,224,17,

-8,224,14,5,224,11,2,241,24,16,66,19,235,127,22,128,1,226,89,4,

-224,34,13,224,1,3,226,46,230,225,95,7,65,86,235,37,12,97,70,224,

-83,15,224,1,1,225,62,230,224,35,26,224,32,23,224,29,20,224,26,17,

-224,23,14,224,20,11,224,17,8,224,14,5,227,98,15,66,10,139,154,94,

-55,156,222,156,81,0,50,64,23,3,95,50,50,52,64,10,0,54,219,33,

-123,240,1,95,48,91,201,89,16,1,51,54,89,12,156,3,89,6,128,9,

-224,31,0,219,110,1,54,54,89,120,157,124,89,111,1,57,52,89,85,0,

-57,186,172,0,54,122,39,1,57,52,157,223,123,199,0,80,124,188,124,196,

-252,194,6,11,67,97,110,110,111,116,32,102,105,110,100,32,188,25,2,66,

-32,85,221,185,1,32,95,121,193,160,155,122,34,3,95,50,49,49,189,111,

-224,10,1,92,20,1,49,32,96,253,139,101,64,109,1,50,55,128,58,224,

-227,6,1,50,57,125,74,87,221,0,51,64,20,121,254,224,33,5,2,49,

-49,57,156,151,0,66,224,128,2,64,82,0,53,64,23,188,110,4,79,32,

-35,53,56,252,105,0,224,112,5,128,41,224,234,6,0,32,192,224,0,89,

-127,165,64,56,128,99,3,67,39,32,89,154,155,190,180,161,122,120,131,93,

-141,128,174,1,49,48,193,241,1,67,39,92,227,64,244,0,48,190,42,193,

-111,252,247,3,64,225,0,57,97,168,97,154,0,64,161,177,65,36,140,5,

-159,2,66,80,190,124,128,15,64,112,125,148,0,53,123,201,1,50,57,64,

-118,192,6,0,49,65,250,64,225,126,190,160,21,64,82,139,118,66,109,1,

-49,52,97,95,225,81,4,1,56,56,128,101,65,103,225,81,0,221,227,225,

-134,0,222,253,1,50,49,128,114,129,221,226,57,14,22,103,101,116,68,105,

-114,101,99,116,111,114,121,67,111,110,116,101,110,116,115,58,32,99,130,79,

-3,111,112,101,110,193,110,129,94,158,66,0,66,64,5,225,233,4,98,165,

-223,5,65,11,65,145,0,83,97,111,224,138,9,226,150,0,224,65,3,64,

-218,224,24,11,96,23,222,228,225,190,3,226,90,8,2,95,50,56,65,161,

-65,85,224,18,1,97,89,65,181,1,49,52,96,73,65,101,66,151,12,10,

-65,32,94,99,95,100,95,110,97,109,101,32,64,19,139,47,7,94,114,101,

-97,100,100,105,114,96,18,137,202,0,75,224,145,5,0,54,65,206,225,128,

-4,194,168,191,65,225,91,1,64,91,0,58,129,63,67,238,0,55,125,169,

-1,57,52,130,70,224,66,29,6,118,101,114,115,105,111,110,224,69,1,0,

-50,66,124,65,201,128,205,224,69,29,13,99,111,109,112,105,108,101,114,58,

-32,109,104,115,45,96,74,1,95,55,98,130,224,64,30,6,100,101,112,101,

-110,100,115,224,134,1,0,53,65,106,64,46,3,48,51,32,85,99,112,160,

-51,0,64,128,231,192,66,4,79,32,35,52,53,163,222,128,187,129,140,1,

-57,53,190,169,0,67,98,74,192,129,96,126,224,118,1,15,101,120,112,111,

-115,101,100,45,109,111,100,117,108,101,115,58,162,138,165,79,227,1,3,0,

-85,99,160,131,84,224,79,17,4,111,116,104,101,114,224,77,7,192,60,130,

-40,228,127,1,0,95,66,183,100,128,0,54,225,14,7,164,131,64,24,129,

-213,2,55,48,50,128,76,128,0,66,60,0,54,198,63,131,50,224,151,5,

-226,188,0,227,181,2,0,39,64,101,2,56,32,95,101,160,191,84,97,36,

-229,8,14,15,66,117,105,108,100,105,110,103,32,112,97,99,107,97,103,101,

-128,147,129,82,101,1,163,171,230,123,7,67,158,67,112,68,11,0,54,84,

-23,229,51,3,67,180,196,98,132,197,227,232,1,2,95,50,56,195,123,96,

-29,128,48,0,39,224,5,8,224,230,3,192,131,224,232,30,192,234,128,10,

-224,239,5,3,87,114,105,116,224,238,9,133,211,66,120,226,181,9,2,32,

-116,111,193,168,0,49,225,159,3,224,219,0,96,195,128,108,224,183,6,161,

-160,0,39,96,2,3,32,95,49,57,101,167,192,70,160,46,2,50,49,49,

-198,246,166,1,100,189,0,67,97,122,104,54,1,67,32,102,122,64,41,0,

-50,97,6,0,55,68,103,0,85,102,181,3,64,85,32,65,96,156,0,50,

-71,234,64,14,224,21,3,2,64,95,57,71,132,195,99,136,73,164,61,227,

-254,0,64,15,167,197,129,49,225,169,6,192,195,225,126,29,225,127,22,6,

-67,111,109,112,114,101,115,68,142,3,32,116,105,109,193,128,129,73,225,130,

-0,101,125,3,55,32,95,49,67,246,134,139,4,52,48,32,95,55,98,103,

-0,64,225,155,2,1,109,115,194,175,168,131,227,22,3,0,49,168,59,2,

-32,95,54,101,245,6,50,51,55,32,95,54,53,97,109,195,108,64,51,128,

-85,97,33,129,90,131,123,141,29,1,66,32,232,34,1,225,144,1,168,9,

-239,67,1,128,7,230,90,4,141,56,65,174,64,18,1,95,54,105,207,64,

-88,140,31,0,83,196,240,2,53,49,54,129,222,85,200,1,95,49,72,59,

-198,241,104,79,1,64,35,161,158,166,135,131,13,0,80,227,154,1,98,128,

-224,50,4,101,46,161,8,168,70,99,147,0,85,96,165,0,90,64,13,0,

-90,201,85,66,17,200,87,66,159,160,180,68,183,65,16,0,53,97,146,64,

-14,0,53,85,53,96,20,0,67,231,148,2,224,162,3,0,73,64,9,64,

-37,224,173,2,160,78,104,53,226,13,8,195,133,103,63,104,43,9,102,32,

-116,104,101,32,102,111,114,109,96,20,0,45,198,186,131,129,130,20,4,50,

-53,32,95,49,197,250,65,80,139,101,195,128,64,1,235,186,30,224,11,2,

-192,8,73,239,160,86,138,190,97,154,0,52,70,147,0,57,96,239,1,57,

-55,64,214,0,73,105,188,67,185,224,121,0,2,95,49,56,65,254,101,200,

-131,254,96,21,0,54,92,196,97,2,70,19,1,54,52,64,26,65,60,1,

-57,52,74,15,2,49,55,55,128,200,64,77,137,183,66,113,201,255,162,93,

-65,112,229,48,5,204,21,195,157,2,67,32,95,106,81,97,104,225,96,2,

-14,107,103,80,97,116,104,32,105,115,32,101,109,112,116,121,230,173,0,130,

-177,130,1,96,6,0,79,66,66,0,79,235,67,0,192,27,128,135,96,105,

-134,133,231,51,5,228,28,13,2,32,95,50,64,213,2,95,54,49,131,179,

-0,35,99,114,161,15,228,26,16,6,73,110,115,116,97,108,108,229,157,9,

-64,99,168,22,229,154,6,0,105,234,88,0,64,81,230,38,0,233,102,5,

-196,93,70,143,224,13,1,229,190,0,224,208,4,3,95,50,48,57,66,98,

-65,138,192,86,224,226,0,128,50,224,253,10,64,53,107,84,171,229,161,63,

-225,172,1,107,90,200,18,225,91,2,161,123,135,93,231,214,19,161,81,0,

-35,99,91,231,202,14,4,99,114,101,97,116,231,192,1,224,84,6,102,2,

-224,219,1,66,39,102,48,66,56,230,173,3,128,193,101,52,70,81,106,114,

-130,211,64,123,1,95,56,162,218,201,40,236,217,8,64,116,97,171,110,155,

-173,14,203,81,233,203,6,224,101,3,234,146,4,238,178,1,64,0,0,75,

-132,81,98,218,64,196,96,129,3,58,50,49,48,139,129,70,242,2,90,32,

-75,96,141,64,21,214,179,100,116,64,186,3,50,49,48,54,99,174,64,241,

-160,26,0,53,64,95,64,25,0,53,128,25,0,54,163,122,129,227,0,80,

-109,237,5,32,95,50,56,50,32,100,213,239,172,2,225,112,1,1,46,47,

-161,107,135,109,167,122,64,84,0,52,128,84,179,95,1,50,49,69,72,1,

-50,48,65,32,64,22,133,255,133,20,69,82,64,169,101,101,64,28,240,49,

-0,163,224,1,95,52,73,93,64,42,143,84,64,49,128,61,64,54,101,98,

-166,225,2,95,52,53,101,160,206,6,64,48,64,126,64,64,224,125,2,185,

-147,229,188,1,2,95,50,57,96,90,96,33,110,138,98,125,195,68,80,70,

-76,196,1,95,51,109,126,194,156,224,30,8,0,55,104,105,224,30,7,1,

-95,51,66,3,168,220,226,226,2,1,95,50,104,131,176,72,96,125,129,183,

-168,236,96,212,224,99,2,103,53,66,107,0,48,66,108,1,35,53,65,251,

-79,98,237,165,0,65,165,163,27,235,123,0,162,240,71,87,134,194,3,50,

-48,57,54,96,223,228,78,2,225,218,2,66,155,0,55,229,2,1,71,248,

-129,133,229,25,1,129,152,238,155,0,96,13,0,64,231,121,4,130,183,129,

-6,228,186,2,229,92,3,131,250,168,42,0,85,72,220,141,135,238,95,3,

-64,186,129,232,0,80,192,32,64,190,98,174,64,197,230,41,0,160,135,0,

-66,64,134,136,123,64,17,224,54,2,224,140,0,160,87,130,149,2,94,109,

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-178,14,226,204,2,4,70,108,111,97,116,114,197,244,99,13,224,31,2,0,

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-8,46,73,79,46,72,97,110,100,108,149,181,225,1,13,194,83,231,33,3,

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-67,110,135,64,230,44,17,228,56,1,64,45,134,243,224,45,17,224,42,2,

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-25,160,39,193,188,96,13,64,126,0,54,230,76,0,255,247,5,1,54,49,

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-64,135,132,48,64,135,3,95,50,52,54,146,243,1,57,54,64,49,64,29,

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-21,18,97,100,100,95,108,122,55,55,95,99,111,109,112,114,101,115,115,111,

-114,96,30,131,55,3,85,32,75,52,64,2,0,90,224,1,2,0,75,247,

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-55,48,66,114,160,218,96,23,65,217,66,247,0,80,65,44,0,54,64,126,

-64,16,64,37,0,75,136,183,96,37,171,150,64,87,130,171,103,168,73,68,

-1,95,55,72,36,0,55,98,211,0,58,128,57,128,30,72,36,0,64,232,

-37,6,14,42,42,42,32,69,120,99,101,112,116,105,111,110,58,32,105,31,

-64,52,130,76,168,126,128,174,6,55,49,51,32,95,54,57,75,122,0,50,

-202,168,224,204,7,151,84,193,230,224,25,3,0,49,132,183,98,3,237,185,

-0,128,239,224,230,0,2,55,50,51,136,197,3,95,55,49,57,235,177,3,

-2,46,104,115,242,213,0,132,121,225,45,1,128,109,96,64,128,10,0,55,

-67,0,128,254,129,224,0,53,67,45,192,179,97,85,225,69,0,2,64,95,

-51,101,202,68,241,64,60,203,30,162,170,224,163,4,64,255,1,64,95,132,

-81,224,31,8,64,102,66,238,224,92,7,253,105,5,65,89,131,138,64,178,

-74,2,67,4,64,69,2,49,57,53,105,99,96,198,96,39,0,54,130,45,

-6,54,56,50,32,75,32,85,101,98,79,36,1,95,55,172,37,64,35,130,

-207,243,94,0,245,119,2,64,80,0,51,64,201,0,83,68,194,97,24,64,

-61,224,7,3,77,79,172,8,64,14,241,39,5,195,234,234,111,9,98,212,

-194,77,173,46,225,169,1,14,99,111,109,98,105,110,97,116,111,114,115,58,

-92,49,48,141,100,0,95,233,115,1,236,184,1,225,16,0,131,118,224,196,

-11,129,217,0,51,65,87,128,30,225,245,2,97,217,0,52,101,7,0,55,

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-8,96,16,0,53,130,241,0,55,83,209,3,95,55,52,52,72,191,115,221,

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-66,32,95,57,101,183,128,15,128,197,225,155,0,96,14,1,53,48,224,212,

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-64,16,172,10,1,85,32,77,64,0,53,72,171,236,125,1,224,44,4,130,

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-90,32,92,97,225,22,3,0,67,67,170,198,238,224,26,6,99,198,85,100,

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-200,91,68,222,133,181,64,211,224,253,0,212,141,225,210,2,225,177,2,206,

-53,64,74,86,172,64,3,0,75,65,218,181,64,96,48,69,41,96,87,101,

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-96,234,68,248,162,25,133,197,171,158,194,193,192,132,228,57,0,160,31,204,

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-89,10,229,238,1,226,109,9,194,100,226,160,2,224,75,15,0,57,230,29,

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-165,218,229,243,6,1,57,57,64,245,139,42,226,198,0,226,192,4,227,162,

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-191,231,250,9,0,50,185,164,235,95,7,130,38,237,33,0,1,58,55,64,

-23,99,180,78,255,0,58,96,55,240,26,5,73,110,97,248,71,12,1,55,

-49,99,92,65,153,253,102,4,97,72,4,97,99,116,105,118,74,119,0,58,

-96,38,128,52,4,55,32,95,52,48,99,122,68,152,172,196,97,53,137,221,

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-68,94,64,24,126,38,0,58,96,58,128,46,124,66,251,251,2,70,183,251,

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-70,11,0,58,96,41,241,62,2,71,94,98,39,138,179,108,94,64,200,237,

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-55,0,225,188,0,237,226,5,128,90,254,160,14,99,208,229,103,6,222,148,

-9,115,97,118,101,100,32,99,97,99,104,158,152,234,206,8,192,150,106,36,

-0,48,180,190,224,159,7,1,58,55,71,187,191,76,167,223,167,115,175,210,

-0,54,68,233,160,15,1,95,50,96,238,223,108,194,3,167,190,228,163,2,

-70,91,231,137,2,200,17,1,95,54,79,158,96,131,96,40,185,50,231,236,

-0,229,106,0,255,93,0,228,226,3,0,67,177,78,230,59,10,209,190,128,

-64,233,214,1,113,67,64,8,242,88,1,171,98,255,188,7,83,93,192,178,

-166,19,255,197,3,224,40,0,176,145,232,57,1,161,204,159,218,236,207,0,

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-67,97,108,128,246,166,144,188,41,102,111,230,110,3,64,7,133,208,71,169,

-166,67,100,119,132,130,123,165,120,6,136,159,137,29,0,50,92,88,64,0,

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-0,2,187,195,2,83,32,85,225,188,7,16,109,100,53,67,111,109,98,105,

-110,101,58,32,101,109,112,116,121,134,165,64,143,68,138,74,87,92,251,1,

-50,32,68,39,1,95,56,73,178,96,153,90,250,0,80,120,7,103,37,68,

-72,228,45,1,196,196,233,113,2,160,235,130,93,64,41,97,239,65,5,104,

-175,0,48,187,102,0,95,88,129,1,95,49,156,19,198,216,188,113,8,94,

-109,100,53,65,114,114,97,121,66,62,226,101,0,194,207,0,55,192,154,1,

-95,49,91,157,99,196,231,189,4,231,81,3,2,95,49,57,99,198,224,46,

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-0,96,20,190,0,64,250,137,45,252,97,9,161,248,130,2,168,120,225,52,

-0,192,25,168,147,252,165,1,1,52,54,204,8,2,49,57,49,129,34,3,

-95,49,55,57,100,43,128,0,229,162,3,133,201,192,69,232,62,1,64,61,

-66,244,224,44,3,96,95,188,177,252,228,7,252,197,2,232,100,4,224,43,

-10,194,116,228,254,2,96,16,0,58,65,96,226,175,0,204,155,0,58,96,

-135,99,182,0,48,68,212,126,62,192,81,129,245,0,35,99,234,76,239,0,

-58,97,152,92,255,1,49,54,65,103,167,88,1,49,48,65,232,0,56,72,

-255,156,173,0,56,102,75,0,56,80,14,64,79,64,11,67,203,192,11,192,

-103,64,95,76,117,160,11,90,216,0,58,96,12,138,226,97,21,137,18,137,

-21,66,47,160,2,225,58,6,97,170,128,50,161,237,165,165,134,30,0,55,

-64,7,0,85,124,147,96,15,0,56,96,158,162,58,64,17,93,57,64,33,

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+10,175,115,64,10,208,216,105,42,0,49,64,53,64,156,98,99,178,13,0,

+73,64,38,208,144,105,42,0,49,79,104,1,95,49,112,65,137,42,192,56,

+73,42,224,68,0,97,201,128,191,178,3,97,224,0,55,228,156,1,1,95,

+49,64,171,64,31,204,15,0,85,132,27,1,95,49,65,99,135,166,0,80,

+227,186,1,160,47,224,15,8,1,64,58,64,121,64,65,127,229,64,14,195,

+31,65,195,116,28,106,194,68,208,132,67,81,98,224,68,0,200,3,160,21,

+160,154,141,151,139,75,96,146,98,35,82,85,64,96,166,11,3,51,55,32,

+58,96,19,3,10,65,32,90,64,190,0,58,96,39,161,105,178,55,65,66,

+177,237,140,138,96,104,203,99,239,120,6,224,14,5,192,184,231,109,0,171,

+115,128,202,0,58,96,6,160,72,203,166,106,70,103,108,192,42,130,100,178,

+19,96,42,64,190,1,95,49,81,194,0,58,96,43,6,10,65,32,47,61,

+32,58,96,17,132,122,64,38,99,1,143,153,206,1,1,75,50,174,240,131,

+79,162,255,0,85,224,20,1,99,238,237,176,5,178,74,78,75,64,147,70,

+166,129,81,64,9,96,176,160,77,96,175,192,17,0,58,96,6,228,200,4,

+228,210,3,128,59,239,145,2,0,58,96,60,100,185,1,53,52,64,202,129,

+134,66,251,210,83,149,52,160,141,234,130,3,9,110,111,32,109,97,116,99,

+104,32,97,213,224,96,32,128,174,0,49,64,81,130,235,75,189,128,11,0,

+58,96,6,235,189,29,8,120,99,101,112,116,105,111,110,46,68,189,2,114,

+110,97,107,179,224,39,1,2,80,97,116,64,22,0,77,64,128,0,70,204,

+200,165,153,178,210,136,15,179,6,0,49,118,114,165,46,138,34,163,88,248,

+33,4,164,122,148,87,1,51,49,244,254,4,171,212,98,138,179,25,161,28,

+78,119,162,72,79,88,0,35,80,120,65,153,119,12,1,48,32,128,15,99,

+44,168,108,65,38,105,149,0,57,213,90,224,39,2,161,71,224,235,1,6,

+39,92,57,50,38,39,39,165,174,193,92,166,93,224,99,0,98,40,139,222,

+224,17,3,133,135,234,156,3,224,168,1,0,64,160,35,133,186,64,156,161,

+22,97,198,128,158,130,99,247,214,8,64,146,70,72,160,148,64,0,0,58,

+96,147,226,123,0,176,163,232,186,6,166,216,1,95,49,81,86,160,108,97,

+102,71,253,129,102,171,210,97,132,225,163,0,118,111,0,95,148,118,114,69,

+210,67,0,90,64,28,99,12,166,138,224,163,5,224,160,0,230,73,2,138,

+11,139,114,116,45,225,22,7,96,0,5,79,32,80,32,35,55,246,43,3,

+64,79,0,97,96,79,96,27,0,56,224,27,7,0,98,224,27,1,79,49,

+224,28,5,0,102,224,28,2,0,48,224,28,7,0,110,224,28,2,0,51,

+224,28,7,110,196,128,28,0,57,224,27,7,118,185,160,56,0,49,224,28,

+7,0,118,224,56,2,224,143,8,64,3,227,52,1,193,193,181,192,69,134,

+181,168,102,7,66,38,2,95,49,51,89,83,109,116,64,18,80,116,164,115,

+181,195,3,95,49,52,49,64,56,0,54,227,27,1,143,226,225,189,0,96,

+70,100,15,96,17,0,58,96,6,154,139,71,132,237,54,0,240,205,0,117,

+47,1,54,49,172,187,128,19,121,218,160,80,132,85,181,65,64,67,226,230,

+2,249,141,1,192,64,150,243,226,96,8,64,69,105,143,236,139,0,160,40,

+226,52,3,224,10,1,96,58,107,27,237,86,1,96,250,129,28,131,216,69,

+241,224,74,4,0,58,96,102,237,89,9,181,226,1,111,114,72,143,180,229,

+71,99,224,33,2,131,85,4,99,104,114,32,58,96,120,128,33,0,52,103,

+181,1,64,58,64,231,64,18,79,240,192,213,69,228,129,154,180,215,225,197,

+6,99,223,225,197,0,134,92,0,58,99,146,4,10,65,32,117,60,70,212,

+180,229,198,164,0,58,96,61,162,26,180,201,96,107,0,58,100,44,131,245,

+0,89,77,135,99,233,133,70,142,140,0,58,96,146,139,29,0,53,64,47,

+231,82,2,0,49,84,108,1,95,49,84,125,0,58,99,123,199,83,180,143,

+0,61,96,11,241,66,0,96,37,128,165,252,190,2,68,2,83,144,135,30,

+101,186,116,157,128,15,130,115,130,110,180,173,96,23,105,142,78,250,0,58,

+96,35,170,73,124,158,110,197,64,26,96,43,199,205,194,123,109,1,160,10,

+231,211,0,199,175,224,32,0,237,189,0,229,0,0,246,44,1,97,34,224,

+65,4,224,64,5,216,103,136,10,130,61,244,253,1,196,174,160,169,140,163,

+180,180,178,102,96,28,161,50,73,152,0,58,97,31,182,60,218,120,97,59,

+205,133,128,36,129,104,178,56,64,100,117,92,84,173,81,57,1,95,49,117,

+101,64,40,129,131,81,217,213,18,96,27,170,61,0,66,154,201,0,49,116,

+129,138,74,64,209,160,26,97,121,113,166,90,223,96,78,161,127,128,39,1,

+95,49,69,61,77,224,224,31,0,129,138,2,110,101,119,213,130,2,76,101,

+110,64,114,218,187,224,212,3,129,8,75,167,180,107,129,134,2,115,101,113,

+103,6,86,170,128,43,1,64,58,109,129,168,238,180,6,193,136,128,1,113,

+220,225,159,3,224,20,3,224,17,8,224,14,5,224,11,2,192,8,110,147,

+96,209,244,21,1,238,197,5,180,30,0,79,64,144,181,248,0,56,72,97,

+0,95,78,246,0,64,192,7,1,95,57,68,94,115,207,1,95,57,69,77,

+160,10,76,72,128,10,1,49,48,72,35,192,11,97,187,83,122,0,58,96,

+18,123,176,3,111,107,101,87,132,116,179,147,0,94,86,226,192,18,194,108,

+173,168,82,20,1,64,95,81,215,0,58,64,89,160,186,111,13,175,209,178,

+54,192,49,80,11,160,48,178,58,65,3,87,46,99,149,68,244,0,95,116,

+44,0,58,178,44,182,255,178,45,6,116,111,80,116,114,32,58,177,230,239,

+120,5,176,102,131,8,136,78,72,81,97,100,67,166,1,64,95,99,83,131,

+105,0,95,99,74,0,95,110,189,105,185,240,142,5,176,164,176,142,200,173,

+0,95,67,192,65,177,128,61,1,67,32,96,63,0,95,110,173,1,64,58,

+240,166,0,229,129,0,176,160,82,215,115,1,72,25,0,58,176,167,5,113,

+117,111,116,32,58,176,156,226,49,1,226,53,2,226,92,72,240,230,3,164,

+122,244,83,1,0,95,80,169,163,147,224,20,0,163,152,245,68,6,244,66,

+3,0,58,177,31,64,37,65,11,70,115,0,58,177,23,6,94,102,114,101,

+101,32,58,177,15,135,128,224,91,5,85,228,150,34,211,167,245,225,4,191,

+37,81,25,250,14,4,177,84,236,192,1,64,165,133,69,96,244,0,39,78,

+210,224,48,0,151,112,160,97,245,89,1,165,67,193,62,224,118,3,2,64,

+95,56,97,255,64,34,133,84,0,55,65,193,65,32,243,12,0,102,11,177,

+179,111,39,99,170,0,58,64,56,226,153,0,96,16,130,3,75,127,0,83,

+106,234,190,16,128,168,76,31,80,107,65,121,130,80,224,104,7,128,103,242,

+219,3,167,254,176,175,68,181,0,58,176,174,96,199,172,99,66,164,213,218,

+226,169,7,176,200,248,57,6,8,117,110,100,101,102,105,110,101,100,73,253,

+0,58,176,225,243,78,7,176,237,2,95,52,49,163,172,105,136,105,191,73,

+122,233,175,12,65,128,233,171,2,157,234,81,90,0,50,224,37,3,233,140,

+2,64,37,96,19,96,10,0,95,81,58,0,58,241,91,1,79,251,0,95,

+113,84,177,83,0,85,97,203,77,107,113,235,146,76,0,80,96,7,97,114,

+225,113,0,0,95,80,76,64,120,78,237,113,76,96,0,0,58,209,144,0,

+52,195,167,80,105,224,13,1,70,243,225,43,6,179,57,14,58,32,117,110,

+115,117,112,112,111,114,116,101,100,32,119,69,35,3,115,105,122,101,107,62,

+86,229,77,72,96,168,194,4,130,175,237,116,3,242,254,1,194,159,215,198,

+81,117,129,11,65,81,0,50,192,12,161,78,0,57,128,231,98,30,177,240,

+0,105,92,23,177,186,0,115,74,20,177,183,73,43,177,97,4,115,104,108,

+32,58,177,96,2,43,32,58,177,92,2,45,32,58,241,91,1,241,90,0,

+230,129,5,177,99,130,234,100,221,241,44,0,2,55,32,95,78,246,0,95,

+114,200,79,200,0,95,80,34,0,95,80,50,116,144,1,95,53,235,112,0,

+1,53,57,160,9,0,58,177,63,131,243,98,252,132,0,96,37,0,55,131,

+181,69,151,177,79,224,29,1,224,49,1,224,39,5,232,179,0,195,138,64,

+29,6,10,65,32,62,61,32,58,176,203,2,62,32,58,176,199,74,201,176,

+199,2,60,32,58,176,124,5,105,99,109,112,32,58,176,36,106,133,76,245,

+0,95,78,188,0,58,175,215,74,130,174,204,65,85,173,21,2,80,32,58,

+173,20,196,77,164,136,194,97,224,20,11,224,17,8,224,14,5,224,11,2,

+192,8,229,200,0,173,86,236,48,5,173,93,4,110,101,103,32,58,173,61,

+2,42,32,58,173,1,2,45,32,58,172,101,2,43,32,58,172,89,224,148,

+68,0,58,236,161,1,103,146,64,17,225,225,0,73,188,68,153,66,26,76,

+75,64,12,198,44,1,64,58,172,185,115,252,172,178,2,73,32,58,172,159,

+64,54,66,76,76,117,0,58,172,135,64,29,128,224,64,9,168,183,7,109,

+97,108,108,111,99,32,58,172,130,13,73,79,46,112,101,114,102,111,114,109,

+73,79,32,58,172,137,224,179,2,0,58,172,122,2,85,32,58,172,118,224,

+219,14,0,58,172,124,64,19,0,95,109,15,0,95,76,118,0,58,172,135,

+104,47,70,44,0,58,172,140,6,114,97,105,115,101,32,58,172,140,7,65,

+46,114,101,97,100,32,58,172,95,13,73,79,46,103,101,116,65,114,103,82,

+101,102,32,58,172,93,0,95,70,120,67,63,64,231,107,3,64,235,172,101,

+6,73,79,46,62,62,32,58,171,228,0,95,105,222,128,33,2,95,49,50,

+199,149,81,8,64,65,89,113,192,9,0,50,71,104,64,9,0,58,172,1,

+186,50,109,239,173,18,86,218,107,185,0,58,172,22,128,35,96,32,115,27,

+192,32,0,95,150,88,161,168,85,164,128,253,224,47,7,107,164,96,155,142,

+56,129,18,117,176,161,45,162,174,0,58,172,20,118,30,0,58,171,230,130,

+59,100,91,171,216,233,120,0,69,202,224,11,2,96,197,101,13,0,58,171,

+234,96,59,172,209,128,165,0,51,97,196,108,95,130,110,74,0,129,62,74,

+150,96,36,179,121,0,95,104,133,73,155,96,21,2,75,32,58,225,220,1,

+1,64,58,194,136,0,58,162,125,9,79,46,114,101,116,117,114,110,32,58,

+225,212,0,0,62,68,100,128,196,2,80,32,58,128,187,227,74,47,0,58,

+227,157,3,226,142,9,240,8,1,130,118,64,200,1,95,50,145,54,224,0,

+255,224,0,255,224,0,255,224,0,255,224,0,255,224,0,255,224,0,255,224,

+0,255,224,0,23,1,32,125,

};

 unsigned char *combexpr = data;

-int combexprlen = 105021;

+int combexprlen = 105088;

 #include "mhsffi.h"

 static struct ffi_entry table[] = {

 { 0,0 }

--- a/lib/Data/FloatW.hs

+++ b/lib/Data/FloatW.hs

@@ -12,6 +12,7 @@

 import Data.Fractional

 import Data.Function

 import Data.Integer

+import Data.Integer.Internal(_integerToFloatW, _wordToInteger)

 import Data.Integral

 import Data.List

 import Data.Ord

--- a/lib/Data/Integer.hs

+++ b/lib/Data/Integer.hs

@@ -2,25 +2,16 @@

 -- See LICENSE file for full license.

 module Data.Integer(

   Integer,

-  _intToInteger,

-  _integerToInt,

-  _wordToInteger,

-  _integerToWord,

-  _integerToFloatW,

-  _integerToRational,

   _integerToIntList,

   _intListToInteger,

   ) where

 import Prelude()              -- do not import Prelude

-import Primitives

-import Control.Error

 import Data.Bits

 import Data.Bool

-import Data.Char

 import Data.Enum

 import Data.Eq

-import Data.Function

-import Data.Integer_Type

+import Data.Int

+import Data.Integer.Internal

 import Data.Integral

 import Data.List

 import Data.Maybe_Type

@@ -28,30 +19,12 @@

 import Data.Ord

 import Data.Ratio_Type

 import Data.Real

-import Data.Word ()

 import Numeric.Show

 import Text.Show

--- The Integer is stored in sign-magnitude format with digits in base maxD (2^32)

--- It has the following invariants:

---  * each digit is >= 0 and < maxD

---  * least significant digits first, most significant last

---  * no trailing 0s in the digits

---  * 0 is positive

-{- These definitions are in Integer_Type

-data Integer = I Sign [Digit]

-  --deriving Show

+-- This module does not know about the representation of Integer.

+-- It uses functions defined in Data.Integer.Internal

-type Digit = Word

-maxD :: Digit

-maxD = 4294967296 -- 2^32, this is used so multiplication of two digit doesn't overflow a 64 bit Word

-data Sign = Plus | Minus

-  --deriving Show

--}

 instance Eq Integer where

   (==) = eqI

   (/=) = neI

@@ -66,8 +39,7 @@

   showsPrec = showIntegral

 {- in Text.Read.Internal

-instance Read Integer where

-  readsPrec = readIntegral

+instance Read Integer

-}

 instance Num Integer where

@@ -105,24 +77,11 @@

   (.|.) = orI

   xor = xorI

   complement x = negOneI - x -- -x = complement x + 1 => complement x = -1 - x

-  I sign ds `unsafeShiftL` i

-    | null ds = zeroI

-    | otherwise =

-      let (q, r) = quotRem i shiftD

-      in I sign (replicate q 0 ++ shiftLD ds r)

+  unsafeShiftL = shiftLI

   x `shiftL` i

     | i < 0 = _overflowError

     | otherwise = x `unsafeShiftL` i

-  I sign ds `unsafeShiftR` i

-    | null ds = zeroI

-    | otherwise =

-      let

-        (q, r) = quotRem i shiftD

-        (rs, ds') = splitAt q ds

-        (ds'', shiftedOut1s) = shiftRD ds' r

-      in case sign of

-        Minus | shiftedOut1s || any (/= 0) rs -> I sign (add1 ds'')

-        _ -> I sign ds''

+  unsafeShiftR = shiftRI

   x `shiftR` i

     | i < 0 = _overflowError

     | otherwise = x `unsafeShiftR` i

@@ -135,225 +94,12 @@

   testBit = testBitI

   zeroBits = zeroI

   bitSizeMaybe _ = Nothing

-  popCount (I sign ds) =

-    let count = sum (map popCount ds)

-    in case sign of

-      Plus -> count

-      Minus -> -count

+  popCount = popCountI

-------------------------------------------------

-isZero :: Integer -> Bool

-isZero (I _ ds) = null ds

-instance Eq Sign where

-  (==) Plus Plus = True

-  (==) Minus Minus = True

-  (==) _ _ = False

--- Trim off 0s and make an Integer

-sI :: Sign -> [Digit] -> Integer

-sI s ds =

-  -- Remove trailing 0s

-  case dropWhileEnd (== (0 :: Word)) ds of

-    []  -> I Plus []

-    ds' -> I s    ds'

-zeroD :: Digit

-zeroD = 0

-addI :: Integer -> Integer -> Integer

-addI (I Plus  xs) (I Plus  ys)             =  I Plus  (add xs ys)

-addI (I Plus  xs) (I Minus ys) | ltW xs ys = sI Minus (sub ys xs)

-                               | True      = sI Plus  (sub xs ys)

-addI (I Minus xs) (I Plus  ys) | ltW ys xs = sI Minus (sub xs ys)

-                               | True      = sI Plus  (sub ys xs)

-addI (I Minus xs) (I Minus ys)             =  I Minus (add xs ys)

-negateI :: Integer -> Integer

-negateI i@(I _    []) = i

-negateI   (I Plus  x) = I Minus x

-negateI   (I Minus x) = I Plus  x

-absI :: Integer -> Integer

-absI (I _ x) = I Plus x

-subI :: Integer -> Integer -> Integer

-subI x y = addI x (negateI y)

-add :: [Digit] -> [Digit] -> [Digit]

-add = add' zeroD

-add' :: Digit -> [Digit] -> [Digit] -> [Digit]

-add' ci (x : xs) (y : ys) = s : add' co xs ys  where (co, s) = addD ci x y

-add' ci (x : xs) []       = s : add' co xs []  where (co, s) = addD ci x zeroD

-add' ci []       (y : ys) = s : add' co [] ys  where (co, s) = addD ci zeroD y

-add' ci []       []       = if ci == zeroD then [] else [ci]

--- Add 3 digits with carry

-addD :: Digit -> Digit -> Digit -> (Digit, Digit)

-addD x y z = (quotMaxD s, remMaxD s)  where s = x + y + z

--- Invariant: xs >= ys, so result is always >= 0

-sub :: [Digit] -> [Digit] -> [Digit]

-sub xs ys = sub' zeroD xs ys

-sub' :: Digit -> [Digit] -> [Digit] -> [Digit]

-sub' bi (x : xs) (y : ys) = d : sub' bo xs ys  where (bo, d) = subW bi x y

-sub' bi (x : xs) []       = d : sub' bo xs []  where (bo, d) = subW bi x zeroD

-sub' 0  []       []       = []

-sub' _  []       _        = error "impossible: xs >= ys"

--- Subtract with borrow

-subW :: Digit -> Digit -> Digit -> (Digit, Digit)

-subW b x y =

-  let d = maxD + x - y - b

-  in (1 - quotMaxD d, remMaxD d)

--- Is axs < ays?

-ltW :: [Digit] -> [Digit] -> Bool

-ltW axs ays = lxs < lys || lxs == lys && cmp (reverse axs) (reverse ays)

-  where

-    lxs = length axs

-    lys = length ays

-    cmp (x:xs) (y:ys) = x < y || x == y && cmp xs ys

-    cmp []     []     = False

-    cmp _      _      = error "ltW.cmp"

-mulI :: Integer -> Integer -> Integer

-mulI (I _ []) _ = I Plus []         -- 0 * x = 0

-mulI _ (I _ []) = I Plus []         -- x * 0 = 0

-mulI (I sx [x]) (I sy ys)  = I (mulSign sx sy) (mulD zeroD ys x)

-mulI (I sx xs)  (I sy [y]) = I (mulSign sx sy) (mulD zeroD xs y)

-mulI (I sx xs)  (I sy ys)  = I (mulSign sx sy) (mulM xs ys)

-mulSign :: Sign -> Sign -> Sign

-mulSign s t = if s == t then Plus else Minus

--- Multiply with a single digit, and add carry.

-mulD :: Digit -> [Digit] -> Digit -> [Digit]

-mulD ci [] _ = if ci == 0 then [] else [ci]

-mulD ci (x:xs) y = r : mulD q xs y

-  where

-    xy = x * y + ci

-    q = quotMaxD xy

-    r = remMaxD xy

-mulM :: [Digit] -> [Digit] -> [Digit]

-mulM xs ys =

-  let rs = map (mulD zeroD xs) ys

-      ss = zipWith (++) (map (`replicate` (0 :: Word)) [0 :: Int ..]) rs

-  in  foldl1 add ss

--- Signs:

---  + +  -> (+,+)

---  + -  -> (-,+)

---  - +  -> (-,-)

---  - -  -> (+,-)

-quotRemI :: Integer -> Integer -> (Integer, Integer)

-quotRemI _         (I _  [])  = error "Integer: division by 0" -- n / 0

-quotRemI (I _  [])          _ = (I Plus [], I Plus [])         -- 0 / n

-quotRemI (I sx xs) (I sy ys) | Just (y, n) <- msd ys =

-  -- All but the MSD are 0.  Scale numerator accordingly and divide.

-  -- Then add back (the ++) the remainder we scaled off.

-  let (rs, xs') = splitAt n xs  -- xs' is the scaled number

-  in case quotRemD xs' y of

-    (q, r) -> qrRes sx sy (q, rs ++ r)

-quotRemI (I sx xs) (I sy ys)  = qrRes sx sy (quotRemB xs ys)

-msd :: [Digit] -> Maybe (Digit, Int)

-msd = go 0

-  where

-    go _ [] = Nothing

-    go n [d] = Just (d, n)

-    go n (d : ds) = if d == 0 then go (n + 1) ds else Nothing

-qrRes :: Sign -> Sign -> ([Digit], [Digit]) -> (Integer, Integer)

-qrRes sx sy (ds, rs) = (sI (mulSign sx sy) ds, sI sx rs)

-quotI :: Integer -> Integer -> Integer

-quotI x y =

-  case quotRemI x y of

-    (q, _) -> q

--- Divide by a single digit.

--- Does not return normalized numbers.

-quotRemD :: [Digit] -> Digit -> ([Digit], [Digit])

-quotRemD axs y = qr zeroD (reverse axs) []

-  where

-    qr ci []     res = (res, [ci])

-    qr ci (x:xs) res = qr r xs (q:res)

-      where

-        cx = ci `unsafeShiftL` shiftD + x

-        q = quot cx y

-        r = rem cx y

--- Simple iterative long division.

-quotRemB :: [Digit] -> [Digit] -> ([Digit], [Digit])

-quotRemB xs ys =

-  let n  = I Plus xs

-      d  = I Plus ys

-      a  = I Plus $ replicate (length ys - (1 :: Int)) (0 :: Word) ++ [last ys]  -- only MSD of ys

-      aq = quotI n a

-      ar = addI d oneI

-      loop q r =

-        if absI r `geI` d then

-          let r' = n `subI` (q `mulI` d)

-              qn = q `addI` (r' `quotI` a)

-              q' = (q `addI` qn) `quotI` twoI

-          in  loop q' r'

-        else

-          q

-      q' = loop aq ar

-      r = n `subI` (q' `mulI` d)

-  in  if r `ltI` zeroI then

-        (digits (q' `subI` oneI), digits (r `addI` d))

-      else

-        (digits q', digits r)

-digits :: Integer -> [Digit]

-digits (I _ ds) = ds

-zeroI :: Integer

-zeroI = I Plus []

-oneI :: Integer

-oneI = I Plus [1]

-twoI :: Integer

-twoI = I Plus [2]

-tenI :: Integer

-tenI = I Plus [10]

-negOneI :: Integer

-negOneI = I Minus [1]

---------------

-eqI :: Integer -> Integer -> Bool

-eqI (I sx xs) (I sy ys) = sx == sy && xs == ys

-neI :: Integer -> Integer -> Bool

-neI x y = not (eqI x y)

-ltI :: Integer -> Integer -> Bool

-ltI (I Plus  xs) (I Plus  ys) = ltW xs ys

-ltI (I Minus  _) (I Plus   _) = True

-ltI (I Plus   _) (I Minus  _) = False

-ltI (I Minus xs) (I Minus ys) = ltW ys xs

-leI :: Integer -> Integer -> Bool

-leI x y = not (ltI y x)

-gtI :: Integer -> Integer -> Bool

-gtI x y = ltI y x

-geI :: Integer -> Integer -> Bool

-geI x y = not (ltI x y)

--- To make the [Int] representing an integer portable, we

--- need to base that does not depend on the word size

+-----------------

+-- For the combinator file we need a portable way to store

+-- the Integer type.  We use [Int], with digits in a small base.

 integerListBase :: Integer

 integerListBase = 32768

@@ -371,231 +117,3 @@

 _intListToInteger ads@(x : ds) = if x == -1 then - f ds else f ads

   where f = foldr (\ d a -> a * integerListBase + toInteger d) 0

----------------------------------

-andI :: Integer -> Integer -> Integer

-andI (I Plus  xs) (I Plus  ys) = bI Plus  (andDigits xs ys)

-andI (I Plus  xs) (I Minus ys) = bI Plus  (andNotDigits (sub1 ys) xs)

-andI (I Minus xs) (I Plus  ys) = bI Plus  (andNotDigits (sub1 xs) ys)

-andI (I Minus xs) (I Minus ys) = bI Minus (orDigits (sub1 xs) (sub1 ys))

-orI :: Integer -> Integer -> Integer

-orI (I Plus  xs) (I Plus  ys) = bI Plus  (orDigits xs ys)

-orI (I Plus  xs) (I Minus ys) = bI Minus (andNotDigits xs (sub1 ys))

-orI (I Minus xs) (I Plus  ys) = bI Minus (andNotDigits ys (sub1 xs))

-orI (I Minus xs) (I Minus ys) = bI Minus (andDigits (sub1 xs) (sub1 ys))

-xorI :: Integer -> Integer -> Integer

-xorI (I Plus  xs) (I Plus  ys) = bI Plus  (xorDigits xs ys)

-xorI (I Plus  xs) (I Minus ys) = bI Minus (xorDigits xs (sub1 ys))

-xorI (I Minus xs) (I Plus  ys) = bI Minus (xorDigits (sub1 xs) ys)

-xorI (I Minus xs) (I Minus ys) = bI Plus  (xorDigits (sub1 xs) (sub1 ys))

-bI :: Sign -> [Digit] -> Integer

-bI Plus  ds = sI Plus  ds

-bI Minus ds = sI Minus (add1 ds)

-add1 :: [Digit] -> [Digit]

-add1 ds = add ds [1]

-sub1 :: [Digit] -> [Digit]

-sub1 ds = sub ds [1]

-andDigits :: [Digit] -> [Digit] -> [Digit]

-andDigits (x : xs) (y : ys) = (x .&. y) : andDigits xs ys

-andDigits _        _        = []

-andNotDigits :: [Digit] -> [Digit] -> [Digit]

-andNotDigits []       []       = []

-andNotDigits []       ys       = ys

-andNotDigits xs       []       = []

-andNotDigits (x : xs) (y : ys) = (complement x .&. y) : andNotDigits xs ys

-orDigits :: [Digit] -> [Digit] -> [Digit]

-orDigits []       []       = []

-orDigits []       ys       = ys

-orDigits xs       []       = xs

-orDigits (x : xs) (y : ys) = (x .|. y) : orDigits xs ys

-xorDigits :: [Digit] -> [Digit] -> [Digit]

-xorDigits []       []       = []

-xorDigits []       ys       = ys

-xorDigits xs       []       = xs

-xorDigits (x : xs) (y : ys) = (x `xor` y) : xorDigits xs ys

-shiftLD :: [Digit] -> Int -> [Digit]

-shiftLD ds 0 = ds

-shiftLD ds i = go 0 ds

-  where

-    go ci [] = if ci == 0 then [] else [ci]

-    go ci (d : ds) =

-      let

-        x = (d `unsafeShiftL` i) .|. ci

-        co = quotMaxD x

-        s = remMaxD x

-      in s : go co ds

-shiftRD :: [Digit] -> Int -> ([Digit], Bool)

-shiftRD ds 0 = (ds, False)

-shiftRD ds i =

-  let (rs, ds') = splitAt 1 (shiftLD ds (shiftD - i))

-  in (ds', any (/= 0) rs)

-testBitI :: Integer -> Int -> Bool

-testBitI (I Plus  ds) i =

-  case ds !? q of

-    Just d -> testBit d r

-    Nothing -> False

-  where (q, r) = quotRem i shiftD

-testBitI (I Minus ds) i =

-  -- not (testBitI (complement (I Minus ds)) i)

-  case ds !? q of

-    Just d ->

-      let d' = if all (== 0) (take q ds) then d - 1 else d

-      in not (testBit d' r)

-    Nothing -> True

-  where (q, r) = quotRem i shiftD

----------------------------------

-{-

-pIntegerToInteger :: P.Integer -> Integer

-pIntegerToInteger i | i >= 0        = I Plus  (f i)

-                    | otherwise     = I Minus (f (negate i))

-  where

-    f 0 = []

-    f x = fromInteger (rem x (toInteger maxD)) : f (quot x (toInteger maxD))

-integerToPInteger :: Integer -> P.Integer

-integerToPInteger (I s xs) =

-  let r = foldr (\ d r -> r * toInteger maxD + toInteger d) 0 xs

-  in  case s of

-        Plus  -> r

-        Minus -> negate r

-instance Num Integer where

-  (+) = addI

-  (-) = subI

-  (*) = mulI

-  abs x = if x < 0 then -x else x

-  signum x = if x > 0 then 1 else if x < 0 then -1 else 0

-  fromInteger = pIntegerToInteger

-instance Enum Integer where

-  fromEnum = fromEnum . integerToPInteger

-  toEnum = _intToInteger

-instance Real Integer where

-  toRational = toRational . toInteger

-instance Integral Integer where

-  quotRem = quotRemI

-  toInteger = integerToPInteger

---instance Show Integer where

---  show = showInteger

-instance Eq Integer where

-  (==) = eqI

-instance Ord Integer where

-  x <  y = x `ltI` y

-  x <= y = x == y || x `ltI` y

-  x >  y = y `ltI` x

-  x >= y = x == y || y `ltI` x

-instance Arbitrary Integer where

-  arbitrary = do

-    ndig <- frequency

-      [(5,  pure 0)

-      ,(25, pure 1)

-      ,(20, pure 2)

-      ,(10, pure 3)

-      ,(10, pure 4)

-      ,(2,  pure 5)

-      ,(2,  pure 6)

-      ]

-    digits <- vectorOf ndig (chooseInt (0, maxD - 1))

-    sign <- elements [Plus, Minus]

-    pure $ if null digits then I Plus [] else I sign digits

-{-

-newtype SmallInteger = SmallInteger Integer

-  deriving Show

-instance Arbitrary SmallInteger where

-  arbitrary = do

-    ndig <- frequency

-      [(25, pure 1)

-      ,(20, pure 2)

-      ,(10, pure 3)

-      ,(10, pure 4)

-      ]

-    digit <- chooseInt (1, maxD - 1)

-    sign <- elements [Plus, Minus]

-    pure $ SmallInteger $ I sign (replicate (ndig - 1) 0 ++ [digit])

--}

-{-

-sanity :: HasCallStack => Integer -> Integer

-sanity (I Minus []) = undefined

-sanity (I _ ds) | length ds > 1 && last ds == 0 = undefined

-sanity i = i

--}

-prop_roundtrip1 :: Integer -> Bool

-prop_roundtrip1 i = fromInteger (toInteger i) == i

-prop_negate :: Integer -> Bool

-prop_negate i = toInteger (negate i) == negate (toInteger i)

-prop_abs :: Integer -> Bool

-prop_abs i = toInteger (abs i) == abs (toInteger i)

-prop_add :: Integer -> Integer -> Bool

-prop_add x y = toInteger (addI x y) == toInteger x + toInteger y

-prop_sub :: Integer -> Integer -> Bool

-prop_sub x y = toInteger (subI x y) == toInteger x - toInteger y

-prop_mul :: Integer -> Integer -> Bool

-prop_mul x y = toInteger (mulI x y) == toInteger x * toInteger y

-prop_div :: Integer -> NonZero Integer -> Bool

-prop_div x (NonZero y) =

-  to (quotRemI x y) == toInteger x `quotRem` toInteger y

-  where to (a, b) = (toInteger a, toInteger b)

-prop_muldiv :: Integer -> NonZero Integer -> Bool

-prop_muldiv x (NonZero y) =

-  let (q, r) = quotRemI x y

-  in  q*y + r == x

-prop_eq :: Integer -> Integer -> Bool

-prop_eq x y = (eqI x y) == (toInteger x == toInteger y)

-prop_ne :: Integer -> Integer -> Bool

-prop_ne x y = (neI x y) == (toInteger x /= toInteger y)

-prop_lt :: Integer -> Integer -> Bool

-prop_lt x y = (ltI x y) == (toInteger x < toInteger y)

-prop_gt :: Integer -> Integer -> Bool

-prop_gt x y = (gtI x y) == (toInteger x > toInteger y)

-prop_le :: Integer -> Integer -> Bool

-prop_le x y = (leI x y) == (toInteger x <= toInteger y)

-prop_ge :: Integer -> Integer -> Bool

-prop_ge x y = (geI x y) == (toInteger x >= toInteger y)

-prop_show :: Integer -> Bool

-prop_show x = showInteger x == show (toInteger x)

-checkAll :: IO ()

-checkAll = do

-  let qc p = quickCheck (withMaxSuccess 100000 p)

-  mapM_ qc [prop_roundtrip1, prop_negate, prop_abs, prop_show]

-  mapM_ qc [prop_add, prop_sub, prop_mul,

-            prop_eq, prop_ne, prop_lt, prop_gt, prop_le, prop_ge]

-  mapM_ qc [prop_div, prop_muldiv]

--}

--- /dev/null

+++ b/lib/Data/Integer/Internal.hs

@@ -1,0 +1,498 @@

+-- This module implements the operation needed to support

+-- the Integer type.

+module Data.Integer.Internal(

+  Integer,

+  zeroI, oneI, negOneI,

+  eqI, neI, ltI, leI, gtI, geI,

+  addI, subI, mulI, quotRemI,

+  negateI, absI,

+  andI, orI, xorI,

+  shiftLI, shiftRI,

+  testBitI, popCountI,

+  _intToInteger,

+  _integerToFloatW,

+  _integerToInt,

+  _wordToInteger,

+  ) where

+import Prelude()              -- do not import Prelude

+--import Primitives

+import Control.Error

+import Data.Bits

+import Data.Bool

+import Data.Enum

+import Data.Eq

+import Data.Function

+import Data.Int

+import Data.Integral

+import Data.List

+import Data.Maybe_Type

+import Data.Num

+import Data.Ord

+import Data.Word

+import Data.Integer_Type

+isZero :: Integer -> Bool

+isZero (I _ ds) = null ds

+instance Eq Sign where

+  (==) Plus Plus = True

+  (==) Minus Minus = True

+  (==) _ _ = False

+-- Trim off 0s and make an Integer

+sI :: Sign -> [Digit] -> Integer

+sI s ds =

+  -- Remove trailing 0s

+  case dropWhileEnd (== (0 :: Word)) ds of

+    []  -> I Plus []

+    ds' -> I s    ds'

+zeroD :: Digit

+zeroD = 0

+addI :: Integer -> Integer -> Integer

+addI (I Plus  xs) (I Plus  ys)             =  I Plus  (add xs ys)

+addI (I Plus  xs) (I Minus ys) | ltW xs ys = sI Minus (sub ys xs)

+                               | True      = sI Plus  (sub xs ys)

+addI (I Minus xs) (I Plus  ys) | ltW ys xs = sI Minus (sub xs ys)

+                               | True      = sI Plus  (sub ys xs)

+addI (I Minus xs) (I Minus ys)             =  I Minus (add xs ys)

+negateI :: Integer -> Integer

+negateI i@(I _    []) = i

+negateI   (I Plus  x) = I Minus x

+negateI   (I Minus x) = I Plus  x

+absI :: Integer -> Integer

+absI (I _ x) = I Plus x

+subI :: Integer -> Integer -> Integer

+subI x y = addI x (negateI y)

+add :: [Digit] -> [Digit] -> [Digit]

+add = add' zeroD

+add' :: Digit -> [Digit] -> [Digit] -> [Digit]

+add' ci (x : xs) (y : ys) = s : add' co xs ys  where (co, s) = addD ci x y

+add' ci (x : xs) []       = s : add' co xs []  where (co, s) = addD ci x zeroD

+add' ci []       (y : ys) = s : add' co [] ys  where (co, s) = addD ci zeroD y

+add' ci []       []       = if ci == zeroD then [] else [ci]

+-- Add 3 digits with carry

+addD :: Digit -> Digit -> Digit -> (Digit, Digit)

+addD x y z = (quotMaxD s, remMaxD s)  where s = x + y + z

+-- Invariant: xs >= ys, so result is always >= 0

+sub :: [Digit] -> [Digit] -> [Digit]

+sub xs ys = sub' zeroD xs ys

+sub' :: Digit -> [Digit] -> [Digit] -> [Digit]

+sub' bi (x : xs) (y : ys) = d : sub' bo xs ys  where (bo, d) = subW bi x y

+sub' bi (x : xs) []       = d : sub' bo xs []  where (bo, d) = subW bi x zeroD

+sub' 0  []       []       = []

+sub' _  []       _        = error "impossible: xs >= ys"

+-- Subtract with borrow

+subW :: Digit -> Digit -> Digit -> (Digit, Digit)

+subW b x y =

+  let d = maxD + x - y - b

+  in (1 - quotMaxD d, remMaxD d)

+-- Is axs < ays?

+ltW :: [Digit] -> [Digit] -> Bool

+ltW axs ays = lxs < lys || lxs == lys && cmp (reverse axs) (reverse ays)

+  where

+    lxs = length axs

+    lys = length ays

+    cmp (x:xs) (y:ys) = x < y || x == y && cmp xs ys

+    cmp []     []     = False

+    cmp _      _      = error "ltW.cmp"

+mulI :: Integer -> Integer -> Integer

+mulI (I _ []) _ = I Plus []         -- 0 * x = 0

+mulI _ (I _ []) = I Plus []         -- x * 0 = 0

+mulI (I sx [x]) (I sy ys)  = I (mulSign sx sy) (mulD zeroD ys x)

+mulI (I sx xs)  (I sy [y]) = I (mulSign sx sy) (mulD zeroD xs y)

+mulI (I sx xs)  (I sy ys)  = I (mulSign sx sy) (mulM xs ys)

+mulSign :: Sign -> Sign -> Sign

+mulSign s t = if s == t then Plus else Minus

+-- Multiply with a single digit, and add carry.

+mulD :: Digit -> [Digit] -> Digit -> [Digit]

+mulD ci [] _ = if ci == 0 then [] else [ci]

+mulD ci (x:xs) y = r : mulD q xs y

+  where

+    xy = x * y + ci

+    q = quotMaxD xy

+    r = remMaxD xy

+mulM :: [Digit] -> [Digit] -> [Digit]

+mulM xs ys =

+  let rs = map (mulD zeroD xs) ys

+      ss = zipWith (++) (map (`replicate` (0 :: Word)) [0 :: Int ..]) rs

+  in  foldl1 add ss

+-- Signs:

+--  + +  -> (+,+)

+--  + -  -> (-,+)

+--  - +  -> (-,-)

+--  - -  -> (+,-)

+quotRemI :: Integer -> Integer -> (Integer, Integer)

+quotRemI _         (I _  [])  = error "Integer: division by 0" -- n / 0

+quotRemI (I _  [])          _ = (I Plus [], I Plus [])         -- 0 / n

+quotRemI (I sx xs) (I sy ys) | Just (y, n) <- msd ys =

+  -- All but the MSD are 0.  Scale numerator accordingly and divide.

+  -- Then add back (the ++) the remainder we scaled off.

+  let (rs, xs') = splitAt n xs  -- xs' is the scaled number

+  in case quotRemD xs' y of

+    (q, r) -> qrRes sx sy (q, rs ++ r)

+quotRemI (I sx xs) (I sy ys)  = qrRes sx sy (quotRemB xs ys)

+msd :: [Digit] -> Maybe (Digit, Int)

+msd = go 0

+  where

+    go _ [] = Nothing

+    go n [d] = Just (d, n)

+    go n (d : ds) = if d == 0 then go (n + 1) ds else Nothing

+qrRes :: Sign -> Sign -> ([Digit], [Digit]) -> (Integer, Integer)

+qrRes sx sy (ds, rs) = (sI (mulSign sx sy) ds, sI sx rs)

+quotI :: Integer -> Integer -> Integer

+quotI x y =

+  case quotRemI x y of

+    (q, _) -> q

+-- Divide by a single digit.

+-- Does not return normalized numbers.

+quotRemD :: [Digit] -> Digit -> ([Digit], [Digit])

+quotRemD axs y = qr zeroD (reverse axs) []

+  where

+    qr ci []     res = (res, [ci])

+    qr ci (x:xs) res = qr r xs (q:res)

+      where

+        --cx = ci `unsafeShiftL` shiftD + x

+        cx = ci * maxD + x

+        q = quot cx y

+        r = rem cx y

+-- Simple iterative long division.

+quotRemB :: [Digit] -> [Digit] -> ([Digit], [Digit])

+quotRemB xs ys =

+  let n  = I Plus xs

+      d  = I Plus ys

+      a  = I Plus $ replicate (length ys - (1 :: Int)) (0 :: Word) ++ [last ys]  -- only MSD of ys

+      aq = quotI n a

+      ar = addI d oneI

+      loop q r =

+        if absI r `geI` d then

+          let r' = n `subI` (q `mulI` d)

+              qn = q `addI` (r' `quotI` a)

+              q' = (q `addI` qn) `quotI` twoI

+          in  loop q' r'

+        else

+          q

+      q' = loop aq ar

+      r = n `subI` (q' `mulI` d)

+  in  if r `ltI` zeroI then

+        (digits (q' `subI` oneI), digits (r `addI` d))

+      else

+        (digits q', digits r)

+digits :: Integer -> [Digit]

+digits (I _ ds) = ds

+zeroI :: Integer

+zeroI = I Plus []

+oneI :: Integer

+oneI = I Plus [1]

+twoI :: Integer

+twoI = I Plus [2]

+tenI :: Integer

+tenI = I Plus [10]

+negOneI :: Integer

+negOneI = I Minus [1]

+--------------

+eqI :: Integer -> Integer -> Bool

+eqI (I sx xs) (I sy ys) = sx == sy && xs == ys

+neI :: Integer -> Integer -> Bool

+neI x y = not (eqI x y)

+ltI :: Integer -> Integer -> Bool

+ltI (I Plus  xs) (I Plus  ys) = ltW xs ys

+ltI (I Minus  _) (I Plus   _) = True

+ltI (I Plus   _) (I Minus  _) = False

+ltI (I Minus xs) (I Minus ys) = ltW ys xs

+leI :: Integer -> Integer -> Bool

+leI x y = not (ltI y x)

+gtI :: Integer -> Integer -> Bool

+gtI x y = ltI y x

+geI :: Integer -> Integer -> Bool

+geI x y = not (ltI x y)

+---------------------------------

+andI :: Integer -> Integer -> Integer

+andI (I Plus  xs) (I Plus  ys) = bI Plus  (andDigits xs ys)

+andI (I Plus  xs) (I Minus ys) = bI Plus  (andNotDigits (sub1 ys) xs)

+andI (I Minus xs) (I Plus  ys) = bI Plus  (andNotDigits (sub1 xs) ys)

+andI (I Minus xs) (I Minus ys) = bI Minus (orDigits (sub1 xs) (sub1 ys))

+orI :: Integer -> Integer -> Integer

+orI (I Plus  xs) (I Plus  ys) = bI Plus  (orDigits xs ys)

+orI (I Plus  xs) (I Minus ys) = bI Minus (andNotDigits xs (sub1 ys))

+orI (I Minus xs) (I Plus  ys) = bI Minus (andNotDigits ys (sub1 xs))

+orI (I Minus xs) (I Minus ys) = bI Minus (andDigits (sub1 xs) (sub1 ys))

+xorI :: Integer -> Integer -> Integer

+xorI (I Plus  xs) (I Plus  ys) = bI Plus  (xorDigits xs ys)

+xorI (I Plus  xs) (I Minus ys) = bI Minus (xorDigits xs (sub1 ys))

+xorI (I Minus xs) (I Plus  ys) = bI Minus (xorDigits (sub1 xs) ys)

+xorI (I Minus xs) (I Minus ys) = bI Plus  (xorDigits (sub1 xs) (sub1 ys))

+bI :: Sign -> [Digit] -> Integer

+bI Plus  ds = sI Plus  ds

+bI Minus ds = sI Minus (add1 ds)

+add1 :: [Digit] -> [Digit]

+add1 ds = add ds [1]

+sub1 :: [Digit] -> [Digit]

+sub1 ds = sub ds [1]

+andDigits :: [Digit] -> [Digit] -> [Digit]

+andDigits (x : xs) (y : ys) = (x .&. y) : andDigits xs ys

+andDigits _        _        = []

+andNotDigits :: [Digit] -> [Digit] -> [Digit]

+andNotDigits []       []       = []

+andNotDigits []       ys       = ys

+andNotDigits xs       []       = []

+andNotDigits (x : xs) (y : ys) = (complement x .&. y) : andNotDigits xs ys

+orDigits :: [Digit] -> [Digit] -> [Digit]

+orDigits []       []       = []

+orDigits []       ys       = ys

+orDigits xs       []       = xs

+orDigits (x : xs) (y : ys) = (x .|. y) : orDigits xs ys

+xorDigits :: [Digit] -> [Digit] -> [Digit]

+xorDigits []       []       = []

+xorDigits []       ys       = ys

+xorDigits xs       []       = xs

+xorDigits (x : xs) (y : ys) = (x `xor` y) : xorDigits xs ys

+shiftLD :: [Digit] -> Int -> [Digit]

+shiftLD ds 0 = ds

+shiftLD ds i = go 0 ds

+  where

+    go ci [] = if ci == 0 then [] else [ci]

+    go ci (d : ds) =

+      let

+        x = (d `unsafeShiftL` i) .|. ci

+        co = quotMaxD x

+        s = remMaxD x

+      in s : go co ds

+shiftRD :: [Digit] -> Int -> ([Digit], Bool)

+shiftRD ds 0 = (ds, False)

+shiftRD ds i =

+  let (rs, ds') = splitAt 1 (shiftLD ds (shiftD - i))

+  in  (ds', any (/= 0) rs)

+testBitI :: Integer -> Int -> Bool

+testBitI (I Plus  ds) i =

+  case ds !? q of

+    Just d -> testBit d r

+    Nothing -> False

+  where (q, r) = quotRem i shiftD

+testBitI (I Minus ds) i =

+  -- not (testBitI (complement (I Minus ds)) i)

+  case ds !? q of

+    Just d ->

+      let d' = if all (== 0) (take q ds) then d - 1 else d

+      in  not (testBit d' r)

+    Nothing -> True

+  where (q, r) = quotRem i shiftD

+shiftLI :: Integer -> Int -> Integer

+shiftLI (I sign ds) i

+  | null ds = zeroI

+  | otherwise =

+    let (q, r) = quotRem i shiftD

+    in  I sign (replicate q 0 ++ shiftLD ds r)

+shiftRI :: Integer -> Int -> Integer

+shiftRI (I sign ds) i

+  | null ds = zeroI

+  | otherwise =

+    let

+      (q, r) = quotRem i shiftD

+      (rs, ds') = splitAt q ds

+      (ds'', shiftedOut1s) = shiftRD ds' r

+    in case sign of

+         Minus | shiftedOut1s || any (/= 0) rs -> I sign (add1 ds'')

+         _ -> I sign ds''

+popCountI :: Integer -> Int

+popCountI (I sign ds) =

+  let count = sum (map popCount ds)

+  in  case sign of

+        Plus  ->  count

+        Minus -> -count

+---------------------------------

+{-

+pIntegerToInteger :: P.Integer -> Integer

+pIntegerToInteger i | i >= 0        = I Plus  (f i)

+                    | otherwise     = I Minus (f (negate i))

+  where

+    f 0 = []

+    f x = fromInteger (rem x (toInteger maxD)) : f (quot x (toInteger maxD))

+integerToPInteger :: Integer -> P.Integer

+integerToPInteger (I s xs) =

+  let r = foldr (\ d r -> r * toInteger maxD + toInteger d) 0 xs

+  in  case s of

+        Plus  -> r

+        Minus -> negate r

+instance Num Integer where

+  (+) = addI

+  (-) = subI

+  (*) = mulI

+  abs x = if x < 0 then -x else x

+  signum x = if x > 0 then 1 else if x < 0 then -1 else 0

+  fromInteger = pIntegerToInteger

+instance Enum Integer where

+  fromEnum = fromEnum . integerToPInteger

+  toEnum = _intToInteger

+instance Real Integer where

+  toRational = toRational . toInteger

+instance Integral Integer where

+  quotRem = quotRemI

+  toInteger = integerToPInteger

+--instance Show Integer where

+--  show = showInteger

+instance Eq Integer where

+  (==) = eqI

+instance Ord Integer where

+  x <  y = x `ltI` y

+  x <= y = x == y || x `ltI` y

+  x >  y = y `ltI` x

+  x >= y = x == y || y `ltI` x

+instance Arbitrary Integer where

+  arbitrary = do

+    ndig <- frequency

+      [(5,  pure 0)

+      ,(25, pure 1)

+      ,(20, pure 2)

+      ,(10, pure 3)

+      ,(10, pure 4)

+      ,(2,  pure 5)

+      ,(2,  pure 6)

+      ]

+    digits <- vectorOf ndig (chooseInt (0, maxD - 1))

+    sign <- elements [Plus, Minus]

+    pure $ if null digits then I Plus [] else I sign digits

+{-

+newtype SmallInteger = SmallInteger Integer

+  deriving Show

+instance Arbitrary SmallInteger where

+  arbitrary = do

+    ndig <- frequency

+      [(25, pure 1)

+      ,(20, pure 2)

+      ,(10, pure 3)

+      ,(10, pure 4)

+      ]

+    digit <- chooseInt (1, maxD - 1)

+    sign <- elements [Plus, Minus]

+    pure $ SmallInteger $ I sign (replicate (ndig - 1) 0 ++ [digit])

+-}

+{-

+sanity :: HasCallStack => Integer -> Integer

+sanity (I Minus []) = undefined

+sanity (I _ ds) | length ds > 1 && last ds == 0 = undefined

+sanity i = i

+-}

+prop_roundtrip1 :: Integer -> Bool

+prop_roundtrip1 i = fromInteger (toInteger i) == i

+prop_negate :: Integer -> Bool

+prop_negate i = toInteger (negate i) == negate (toInteger i)

+prop_abs :: Integer -> Bool

+prop_abs i = toInteger (abs i) == abs (toInteger i)

+prop_add :: Integer -> Integer -> Bool

+prop_add x y = toInteger (addI x y) == toInteger x + toInteger y

+prop_sub :: Integer -> Integer -> Bool

+prop_sub x y = toInteger (subI x y) == toInteger x - toInteger y

+prop_mul :: Integer -> Integer -> Bool

+prop_mul x y = toInteger (mulI x y) == toInteger x * toInteger y

+prop_div :: Integer -> NonZero Integer -> Bool

+prop_div x (NonZero y) =

+  to (quotRemI x y) == toInteger x `quotRem` toInteger y

+  where to (a, b) = (toInteger a, toInteger b)

+prop_muldiv :: Integer -> NonZero Integer -> Bool

+prop_muldiv x (NonZero y) =

+  let (q, r) = quotRemI x y

+  in  q*y + r == x

+prop_eq :: Integer -> Integer -> Bool

+prop_eq x y = (eqI x y) == (toInteger x == toInteger y)

+prop_ne :: Integer -> Integer -> Bool

+prop_ne x y = (neI x y) == (toInteger x /= toInteger y)

+prop_lt :: Integer -> Integer -> Bool

+prop_lt x y = (ltI x y) == (toInteger x < toInteger y)

+prop_gt :: Integer -> Integer -> Bool

+prop_gt x y = (gtI x y) == (toInteger x > toInteger y)

+prop_le :: Integer -> Integer -> Bool

+prop_le x y = (leI x y) == (toInteger x <= toInteger y)

+prop_ge :: Integer -> Integer -> Bool

+prop_ge x y = (geI x y) == (toInteger x >= toInteger y)

+prop_show :: Integer -> Bool

+prop_show x = showInteger x == show (toInteger x)

+checkAll :: IO ()

+checkAll = do

+  let qc p = quickCheck (withMaxSuccess 100000 p)

+  mapM_ qc [prop_roundtrip1, prop_negate, prop_abs, prop_show]

+  mapM_ qc [prop_add, prop_sub, prop_mul,

+            prop_eq, prop_ne, prop_lt, prop_gt, prop_le, prop_ge]

+  mapM_ qc [prop_div, prop_muldiv]

+-}

--- a/lib/Data/Integer_Type.hs

+++ b/lib/Data/Integer_Type.hs

@@ -7,6 +7,14 @@

 import Data.Bool_Type

 import Data.List_Type

+--

+-- The Integer is stored in sign-magnitude format with digits in base maxD (2^32)

+-- It has the following invariants:

+--  * each digit is >= 0 and < maxD

+--  * least significant digits first, most significant last

+--  * no trailing 0s in the digits

+--  * 0 is positive

 data Integer = I Sign [Digit]

 data Sign = Plus | Minus