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Fix quant docs to point out non-integer quanta are allowed.
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0db5d6dd06
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2 changed files with 27 additions and 12 deletions
33
math.scad
33
math.scad
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@ -308,7 +308,8 @@ function atanh(x) =
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// num = quant(x, y);
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// Description:
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// Quantize a value `x` to an integer multiple of `y`, rounding to the nearest multiple.
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// If `x` is a list, then every item in that list will be recursively quantized.
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// The value of `y` does NOT have to be an integer. If `x` is a list, then every item
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// in that list will be recursively quantized.
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// Arguments:
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// x = The value to quantize.
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// y = The non-zero integer quantum of the quantization.
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@ -326,9 +327,11 @@ function atanh(x) =
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// k = quant(10.5,3); // Returns: 12
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// l = quant(11,3); // Returns: 12
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// m = quant(12,3); // Returns: 12
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// n = quant([12,13,13.1,14,14.1,15,16],4); // Returns: [12,12,12,16,16,16,16]
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// o = quant([9,10,10.4,10.5,11,12],3); // Returns: [9,9,9,12,12,12]
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// p = quant([[9,10,10.4],[10.5,11,12]],3); // Returns: [[9,9,9],[12,12,12]]
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// n = quant(11,2.5); // Returns: 10
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// o = quant(12,2.5); // Returns: 12.5
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// p = quant([12,13,13.1,14,14.1,15,16],4); // Returns: [12,12,12,16,16,16,16]
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// q = quant([9,10,10.4,10.5,11,12],3); // Returns: [9,9,9,12,12,12]
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// r = quant([[9,10,10.4],[10.5,11,12]],3); // Returns: [[9,9,9],[12,12,12]]
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function quant(x,y) =
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assert( is_finite(y) && y>0, "The quantum `y` must be a non zero integer.")
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is_list(x)
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@ -342,7 +345,8 @@ function quant(x,y) =
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// num = quantdn(x, y);
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// Description:
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// Quantize a value `x` to an integer multiple of `y`, rounding down to the previous multiple.
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// If `x` is a list, then every item in that list will be recursively quantized down.
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// The value of `y` does NOT have to be an integer. If `x` is a list, then every item in that
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// list will be recursively quantized down.
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// Arguments:
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// x = The value to quantize.
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// y = The non-zero integer quantum of the quantization.
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@ -360,9 +364,11 @@ function quant(x,y) =
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// k = quantdn(10.5,3); // Returns: 9
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// l = quantdn(11,3); // Returns: 9
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// m = quantdn(12,3); // Returns: 12
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// n = quantdn([12,13,13.1,14,14.1,15,16],4); // Returns: [12,12,12,12,12,12,16]
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// o = quantdn([9,10,10.4,10.5,11,12],3); // Returns: [9,9,9,9,9,12]
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// p = quantdn([[9,10,10.4],[10.5,11,12]],3); // Returns: [[9,9,9],[9,9,12]]
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// n = quantdn(11,2.5); // Returns: 10
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// o = quantdn(12,2.5); // Returns: 10
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// p = quantdn([12,13,13.1,14,14.1,15,16],4); // Returns: [12,12,12,12,12,12,16]
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// q = quantdn([9,10,10.4,10.5,11,12],3); // Returns: [9,9,9,9,9,12]
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// r = quantdn([[9,10,10.4],[10.5,11,12]],3); // Returns: [[9,9,9],[9,9,12]]
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function quantdn(x,y) =
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assert( is_finite(y) && y>0, "The quantum `y` must be a non zero integer.")
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is_list(x)
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@ -376,7 +382,8 @@ function quantdn(x,y) =
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// num = quantup(x, y);
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// Description:
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// Quantize a value `x` to an integer multiple of `y`, rounding up to the next multiple.
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// If `x` is a list, then every item in that list will be recursively quantized up.
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// The value of `y` does NOT have to be an integer. If `x` is a list, then every item in
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// that list will be recursively quantized up.
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// Arguments:
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// x = The value to quantize.
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// y = The non-zero integer quantum of the quantization.
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@ -394,9 +401,11 @@ function quantdn(x,y) =
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// k = quantup(10.5,3); // Returns: 12
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// l = quantup(11,3); // Returns: 12
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// m = quantup(12,3); // Returns: 12
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// o = quantup([12,13,13.1,14,14.1,15,16],4); // Returns: [12,16,16,16,16,16,16]
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// p = quantup([9,10,10.4,10.5,11,12],3); // Returns: [9,12,12,12,12,12]
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// quantup([[9,10,10.4],[10.5,11,12]],3); // Returns: [[9,12,12],[12,12,12]]
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// n = quantdn(11,2.5); // Returns: 12.5
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// o = quantdn(12,2.5); // Returns: 12.5
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// p = quantup([12,13,13.1,14,14.1,15,16],4); // Returns: [12,16,16,16,16,16,16]
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// q = quantup([9,10,10.4,10.5,11,12],3); // Returns: [9,12,12,12,12,12]
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// r = quantup([[9,10,10.4],[10.5,11,12]],3); // Returns: [[9,12,12],[12,12,12]]
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function quantup(x,y) =
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assert( is_finite(y) && y>0, "The quantum `y` must be a non zero integer.")
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is_list(x)
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@ -13,6 +13,8 @@ module test_quant() {
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assert_equal(quant(3,3), 3);
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assert_equal(quant(4,3), 3);
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assert_equal(quant(7,3), 6);
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assert_equal(quant(12,2.5), 12.5);
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assert_equal(quant(11,2.5), 10.0);
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assert_equal(quant([12,13,13.1,14,14.1,15,16],4), [12,12,12,16,16,16,16]);
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assert_equal(quant([9,10,10.4,10.5,11,12],3), [9,9,9,12,12,12]);
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assert_equal(quant([[9,10,10.4],[10.5,11,12]],3), [[9,9,9],[12,12,12]]);
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@ -31,6 +33,8 @@ module test_quantdn() {
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assert_equal(quantdn(3,3), 3);
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assert_equal(quantdn(4,3), 3);
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assert_equal(quantdn(7,3), 6);
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assert_equal(quantdn(12,2.5), 10.0);
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assert_equal(quantdn(11,2.5), 10.0);
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assert_equal(quantdn([12,13,13.1,14,14.1,15,16],4), [12,12,12,12,12,12,16]);
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assert_equal(quantdn([9,10,10.4,10.5,11,12],3), [9,9,9,9,9,12]);
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assert_equal(quantdn([[9,10,10.4],[10.5,11,12]],3), [[9,9,9],[9,9,12]]);
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@ -49,6 +53,8 @@ module test_quantup() {
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assert_equal(quantup(3,3), 3);
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assert_equal(quantup(4,3), 6);
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assert_equal(quantup(7,3), 9);
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assert_equal(quantup(12,2.5), 12.5);
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assert_equal(quantup(11,2.5), 12.5);
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assert_equal(quantup([12,13,13.1,14,14.1,15,16],4), [12,16,16,16,16,16,16]);
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assert_equal(quantup([9,10,10.4,10.5,11,12],3), [9,12,12,12,12,12]);
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assert_equal(quantup([[9,10,10.4],[10.5,11,12]],3), [[9,12,12],[12,12,12]]);
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