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synced 2025-08-16 01:03:29 +03:00
fix historical trigonometric functions for values of 0
Fixed how the historical trigonometric functions call the underlying trigonometric functions. This fixes a number of issues where the function for values of 0. Updated cal/regress.cal to test historical trigonometric functions at the 0 value.
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@@ -3509,6 +3509,8 @@ define test_trig()
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pi = pi(1e-20);
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/* test versed trigonometric sine */
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vrfy(versin(0, 1e-10) == 0,
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strcat(str(tnum++), ': versin(0, 1e-10) == 0'));
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vrfy(round(versin(0.2, 1e-10), 10) == 0.0199334222,
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strcat(str(tnum++),
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': round(versin(0.2, 1e-10), 10) == 0.0199334222'));
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@@ -3534,11 +3536,11 @@ define test_trig()
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': round(versin(2 + 3i, 1e-10), 10) == 5.189625691+9.1092278938i'));
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/* test inverse versed trigonometric sine */
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vrfy(aversin(0) == 0,
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strcat(str(tnum++), ': aversin(0) == 0'));
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vrfy(round(aversin(0.5, 1e-10), 10) == 1.0471975512,
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strcat(str(tnum++),
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': round(aversin(0.5, 1e-10), 10) == 1.0471975512'));
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vrfy(aversin(0) == 0,
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strcat(str(tnum++), ': aversin(0) == 0'));
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vrfy(round(aversin(-5, 1e-10), 10) == 2.4778887303i,
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strcat(str(tnum++),
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': round(aversin(-5, 1e-10), 10) == 2.4778887303i'));
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@@ -3547,6 +3549,8 @@ define test_trig()
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': round(aversin(2 + 3i, 1e-10), 10) == 1.8783999763+1.8641615439i'));
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/* test coversed trigonometric sine */
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vrfy(coversin(0, 1e-10) == 1,
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strcat(str(tnum++), ': coversin(0, 1e-10) == 1'));
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vrfy(round(coversin(0.2, 1e-10), 10) == 0.8013306692,
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strcat(str(tnum++),
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': round(coversin(0.2, 1e-10), 10) == 0.8013306692'));
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@@ -3572,6 +3576,9 @@ define test_trig()
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': round(coversin(2 + 3i, 1e-10), 10) == -8.1544991469+4.16890696i'));
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/* test inverse coversed trigonometric sine */
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vrfy(round(acoversin(0, 1e-10), 10) == 1.5707963268,
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strcat(str(tnum++),
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': round(acoversin(0.5, 1e-10), 10) == 1.5707963268'));
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vrfy(round(acoversin(0.5, 1e-10), 10) == 0.5235987756,
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strcat(str(tnum++),
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': round(acoversin(0.5, 1e-10), 10) == 0.5235987756'));
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@@ -3585,6 +3592,8 @@ define test_trig()
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': round(acoversin(2 + 3i, 1e-10), 10) == -0.3076036495-1.8641615442i'));
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/* test versed trigonometric cosine */
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vrfy(vercos(0, 1e-10) == 2,
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strcat(str(tnum++), ': vercos(0, 1e-10) == 2'));
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vrfy(round(vercos(0.2, 1e-10), 10) == 1.9800665778,
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strcat(str(tnum++),
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': round(vercos(0.2, 1e-10), 10) == 1.9800665778'));
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@@ -3610,6 +3619,9 @@ define test_trig()
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': round(vercos(2 + 3i, 1e-10), 10) == -3.189625691-9.1092278938i'));
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/* test inverse versed trigonometric cosine */
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vrfy(round(avercos(0, 1e-10), 10) == 3.1415926536,
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strcat(str(tnum++),
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': round(avercos(0, 1e-10), 10) == 3.1415926536'));
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vrfy(round(avercos(0.5, 1e-10), 10) == 2.0943951024,
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strcat(str(tnum++),
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': round(avercos(0.5, 1e-10), 10) == 2.0943951024'));
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@@ -3623,6 +3635,8 @@ define test_trig()
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': round(avercos(2 + 3i, 1e-10), 10) == 1.2631926773-1.8641615442i'));
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/* test coversed trigonometric cosine */
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vrfy(covercos(0, 1e-10) == 1,
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strcat(str(tnum++), ': covercos(0, 1e-10) == 1'));
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vrfy(round(covercos(0.2, 1e-10), 10) == 1.1986693308,
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strcat(str(tnum++),
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': round(covercos(0.2, 1e-10), 10) == 1.1986693308'));
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@@ -3648,6 +3662,9 @@ define test_trig()
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': round(covercos(2 + 3i, 1e-10), 10) == 10.1544991469-4.16890696i'));
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/* test inverse coversed trigonometric cosine */
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vrfy(round(acovercos(0, 1e-10), 10) == 1.5707963268,
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strcat(str(tnum++),
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': round(acovercos(0, 1e-10), 10) == 1.5707963268'));
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vrfy(round(acovercos(0.5, 1e-10), 10) == 0.5235987756,
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strcat(str(tnum++),
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': round(acovercos(0.5, 1e-10), 10) == 0.5235987756'));
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