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Add math.hypot
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@@ -2158,6 +2158,74 @@ signbit :: proc{
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}
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@(require_results)
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hypot_f16 :: proc "contextless" (x, y: f16) -> (r: f16) {
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switch {
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case is_nan(x) || is_nan(y):
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r = nan_f16()
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case x == y:
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r = x
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case x == 0:
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r = copy_sign_f16(1, y)
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case (y > x) == (x > 0):
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r = transmute(f16)(transmute(u16)x + 1)
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case:
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r = transmute(f16)(transmute(u16)x - 1)
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}
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return
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}
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@(require_results)
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hypot_f32 :: proc "contextless" (x, y: f32) -> (r: f32) {
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switch {
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case is_nan(x) || is_nan(y):
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r = nan_f32()
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case x == y:
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r = x
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case x == 0:
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r = copy_sign_f32(1, y)
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case (y > x) == (x > 0):
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r = transmute(f32)(transmute(u32)x + 1)
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case:
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r = transmute(f32)(transmute(u32)x - 1)
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}
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return
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}
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@(require_results)
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hypot_f64 :: proc "contextless" (x, y: f64) -> (r: f64) {
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switch {
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case is_nan(x) || is_nan(y):
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r = nan_f64()
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case x == y:
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r = x
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case x == 0:
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r = copy_sign_f64(1, y)
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case (y > x) == (x > 0):
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r = transmute(f64)(transmute(u64)x + 1)
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case:
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r = transmute(f64)(transmute(u64)x - 1)
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}
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return
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}
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@(require_results) hypot_f16le :: proc "contextless" (x, y: f16le) -> (r: f16le) { return f16le(hypot_f16(f16(x), f16(y))) }
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@(require_results) hypot_f16be :: proc "contextless" (x, y: f16be) -> (r: f16be) { return f16be(hypot_f16(f16(x), f16(y))) }
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@(require_results) hypot_f32le :: proc "contextless" (x, y: f32le) -> (r: f32le) { return f32le(hypot_f32(f32(x), f32(y))) }
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@(require_results) hypot_f32be :: proc "contextless" (x, y: f32be) -> (r: f32be) { return f32be(hypot_f32(f32(x), f32(y))) }
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@(require_results) hypot_f64le :: proc "contextless" (x, y: f64le) -> (r: f64le) { return f64le(hypot_f64(f64(x), f64(y))) }
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@(require_results) hypot_f64be :: proc "contextless" (x, y: f64be) -> (r: f64be) { return f64be(hypot_f64(f64(x), f64(y))) }
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// hypot returns Sqrt(p*p + q*q), taking care to avoid unnecessary overflow and underflow.
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//
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// Special cases:
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// hypot(±Inf, q) = +Inf
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// hypot(p, ±Inf) = +Inf
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// hypot(NaN, q) = NaN
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// hypot(p, NaN) = NaN
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hypot :: proc{
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hypot_f16, hypot_f16le, hypot_f16be,
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hypot_f32, hypot_f32le, hypot_f32be,
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hypot_f64, hypot_f64le, hypot_f64be,
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}
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F16_DIG :: 3
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F16_EPSILON :: 0.00097656
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F16_GUARD :: 0
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